[B001]
M.Wadati, H.Tsuru. Elastic model of looped DNA.
Physica D 21 (1986) 213-226. DOI: 10.1016/0167-2789(86)90002-3
[B002]
J.D.Watson. Molecular Biology of the Gene.
Benjamin, New York (1965).
[B003]
J.Vinograd, J.Lebowitz, R.Radloff, R.Watson, P.Laipis. The twisted circular form of polyoma viral DNA.
Proc. Natl. Acad. Sci. USA 53, No. 5, May 15 (1965) 1104-1111.
[B004]
W.R.Bauer. Structure and reactions of closed duplex DNA.
Annual Review of Biophysics and Bioengineering 7, Jun. (1978) 287-313. DOI: 10.1146/annurev.bb.07.060178.001443
[B005]
F.B.Fuller. The writhing number of a space curve.
Proc. Natl. Acad. Sci. USA 68 No. 4, Apr.(1971) 815-819.
[B006]
W.R.Bauer, F.H.C.Crick, J.H.White. Supercoiled DNA.
Scientific American 243 No. 1, July (1980) 100-113{118?}.
[B007]
F.H.C.Crick. Linking numbers and nucleosomes.
Proc. Natl. Acad. Sci. USA 73, No. 8, Aug. (1976) 2639-2643.
[B008]
C.J.Benham. Elastic model of supercoiling.
Proc. Natl. Acad. Sci. USA 74, No. 6, Jun. (1977) 2397-2401.
[B009]
M.Le Bret. Catastrophic variation of twist and writhing of circular DNAs with constraint?
Biopolymers18, Issue 7, (1979) 1709-1725. ISSN: 0006-3525. DOI: 10.1002/bip.1979.360180710
[B010]
M.D.Barkley, B.H.Zimm. Theory of twisting and bending of chain
macromolecules; analysis of the fluorescence depolarization of DNA.
J. Chem. Phys. 70 (06) (1979) 2991-3007. DOI: 10.1063/1.437838
[B011]
J.Griffith. Chromatin structure: deduced from a minichromosome.
Science 187 No. 4182, 28 March (1975) 1202-1203.
[B012]
D.Shore, R.L.Baldwin. Energetics of DNA twisting. I.Relation between twist and cyclization probability.
J. Mol. Biol. 170 (1983) 957-981. DOI:
[B013]
D.Shore, R.L.Baldwin. Energetics of DNA twisting. II.Topoisomer analysis.
J. Mol. Biol. 170 (1983) 983-1007. DOI:
[B014]
I.Ashikawa, K.Kinosita Jr., A.Ikegami, Y.Nishimura, M.Tsuboi, K.Watanabe, K.Iso, T.Nakano.
Internal motion of deoxyribonucleic acid in chromatin. Nanosecond fluorescence studies of intercalated ethidium.
Biochemistry 22 (1983) 6018-6026.
[B015]
E.F.J. van Bruggen, C.M.Runner, P.Borst, G.J.C.M.Ruttenberg, A.M.Kroon, F.M.A.H.Schuurmans-Stekhoven.
Mitochondrial DNA III. Electron microscopy of DNA released from mitochondria by osmotic shock.
Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis 161, Issue 2 (1968) 402-414.
DOI: 10.1016/0005-2787(68)90118-4
[B016]
M.-F.Bourguignon, P.Bourgaux. Electron microscopic study of the tertiary structure of covalently closed polyoma virus DNA.
Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis 169, Issue 2 (1968) 476-487.
DOI: 10.1016/0005-2787(68)90056-7
[B017]
M.Le Bret. Relationship between the energy of superhelix formation, the shear modulus, and the torsional Brownian motion of DNA.
Biopolymers 17, No. 8, (1978) 1939-1955. DOI: 10.1002/bip.1978.360170810
[B018]
C.J.Benham.
An elastic model of the large-scale structure of duplex DNA.
Biopolymers 18, Issue 3, (1979) 609-623. DOI: 10.1002/bip.1979.360180310
[B019]
C.J.Benham. Geometry and mechanics of DNA superhelicity.
Biopolymers 22, Issue 11, (1983) 2477-2495. DOI: 10.1002/bip.360221112
[B020]
P.Selepova, J.Kypr. Computer simulation of DNA supercoiling in a simple
elastomechanical approximation.
Biopolymers 24, Issue 5, May (1985) 867-882. DOI: 10.1002/bip.360240510
[B021]
H.Tsuru, M.Wadati. Elastic model of highly supercoiled DNA.
Biopolymers 25 No 11 (1986) 2083-2096.
[B022]
D.E.Pulleyblank, M.Shure, D.Tang, J.Vinograd, H.-P.Vosberg. Action of
nicking-closing enzyme on supercoiled and nonsupercoiled closed circular DNA:
Formation of a Boltzmann distribution of topological isomers.
Proc. Natl. Acad. Sci. USA 72, No. 11, Nov. (1975) 4280-4284.
[B023]
R.E.Depew, J.C.Wang. Conformational fluctuations of DNA helix.
Proc. Natl. Acad. Sci. USA 72, No. 11, Nov. (1975) 4275-4279.
[B024]
M.T.Record Jr., S.J.Mazur, P.Malacon, J.-H.Roe, S.L.Shaner, L.Unger.
Ann. Rev. Biochem. 50 (1981) 997-1024.
[B025]
R.T.Espejo, E.S.Canelo, R.L.Sinsheimer. DNA of bacteriophage PM2: A closed circular double-stranded molecule.
Proc. Natl. Acad. Sci. USA 63, No. 4, Aug. 15 (1969) 1164-1168.
[B026]
G.W.Brady, D.B.Fein, H.Brumberger. X-ray diffraction studies of circular superhelical DNA at 300-10,000-A' resolution.
Nature 264, November 18 (1976) 231-234.
[B027]
R.J.Douthart, V.A.Bloomfield. Intrinsic viscosities of cyclic and linear \lambda DNA.
Biopolymers 6, Issue 9, Sep. (1968) 1297-1309. DOI: 10.1002/bip.1968.360060906
[B028]
R.Watson, W.R.Bauer. The viscometric behavior of native and relaxed closed circular PM2 DNAs at intermediate and high ethidium bromide concentrations.
Biopolymers 16, Issue 6, Jun. (1977) 1343-1356. DOI: 10.1002/bip.1977.360160614
[B029]
W.Bauer, J.Vinograd. The interaction of closed circular DNA with intercalative dyes. I. The superhelix density of SV40 DNA in the presence and absence of dye
J. Mol. Biol. 33, Issue 1, 14 Apr. (1968) 141-171. DOI: 10.1016/0022-2836(68)90286-6
[B030]
H.B.Gray, W.B.Upholt, J.Vinograd. A buoyant method for the determination of the superhelix density of closed circular DNA.
J. Mol. Biol. 62, Issue 1, 28 Nov. (1971) 1-19. DOI: 10.1016/0022-2836(71)90127-6
[B031]
J.C.Wang. Variation of the average rotation angle of the DNA helix and the superhelical turns of covalently closed cyclic $\lambda$ DNA.
J. Mol. Biol. 43, Issue 1, 14 Jul. (1969) 25-39. DOI: 10.1016/0022-2836(69)90076-X
[B032]
M.Fukatsu, M.Kurata.
J. Chem. Phys. 44 (1966) 4539-4545.
[B033]
V.A.Bloomfield. Twisted circular DNA: Sedimentation coefficients and the number of twists.
Proc. Natl. Acad. Sci. USA 55, No. 4, Apr. 15 (1966) 717-720.
[B034]
W.Bauer, J.Vinograd. Interaction of closed circular DNA with intercalative dyes: II. The free energy of superhelix formation in SV40 DNA.
J. Mol. Biol. 47, Issue 3, 14 Feb. (1970) 419-435. DOI: 10.1016/0022-2836(70)90312-8
[B035]
Ph.Wahl, J.Paoletti, J.-B.Le Pecq. Decay of fluorescence emission anisotropy of the ethidium bromide-DNA complex evidence
for an internal motion in DNA.
Proc. Natl. Acad. Sci. USA 65, No. 2, Feb. 15 (1970) 417-421.
[B036]
J.C.Wang. The degree of unwinding of the DNA helix by ethidium I. Titration of twisted PM2 DNA
molecules in alkaline cesium chloride density gradients.
J. Mol. Biol. 89, Issue 4, 15 Nov. (1974) 783-801. DOI: 10.1016/0022-2836(74)90053-9
[B037]
R.D.Camerini-Otero, G.Felsenfeld. Simple model of DNA superhelices in solution.
Proc. Natl. Acad. Sci. USA 75 (1978), No. 4, Apr. 1708-1712.
[B038]
F.B.Fuller. Decomposition of the linking number of a closed ribbon: A problem from molecular biology.
Proc. Natl. Acad. Sci. USA 75, No. 8, Aug. (1978) 3557-3561.
[B039]
M.Schure, D.E.Pulleyblank, J.Vinograd.
Nucleic Acids Res. 4 (1977) 1183-1205.
[B040]
J.B.Le Pecq, M.Le Bret, J.Barbet, B.Roques. DNA polyintercalating drugs: DNA binding of diacridine derivatives.
Proc. Natl. Acad. Sci. USA 72, No. 8, Aug. (1975) 2915-2919.
[B041]
J.A.Schellman. Macromolecular binding.
Biopolymers 14, Issue 5, May (1975) 999-1018. DOI: 10.1002/bip.1975.360140509
[B042]
J.D.McGhee, P.H.von Hippel. Theoretical aspects of DNA-protein interactions: Co-operative and non-co-operative binding of large ligands to a one-dimensional homogeneous lattice.
J. Mol. Biol. 86, Issue 2, 25 Jun. (1974) 469-489. DOI: 10.1016/0022-2836(74)90031-X
[B043]
F.B.Fuller.
Rev. Roum. Math. Pures Appl. 17 (1972) 1329-1334.
[B044]
W.Keller, I.Wendel.
Cold Spring Harbor Symp. Quant. Biol. 39 (1975) 198{9}-208.
[B045]
J.E.Germond, B.Hirt, P.Oudet, M.Gross-Bellard, P.Chambon. Folding of the DNA double helix in chromatin-like structures
from Simian Virus 40.
Proc. Natl. Acad. Sci. USA 72, No. 5, May (1975) 1843-1847.
[B046]
W.Keller. Determination of the number of superhelical turns in Simian Virus 40 DNA by gel electrophoresis.
Proc. Natl. Acad. Sci. USA 72, No. 12, Dec. (1975) 4876-4880.
[B047]
L.F.Liu, J.C.Wang. On the degree of unwinding of the DNA helix by ethidium.
II.Studies by electron microscopy.
Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis 395, Issue 4 (1975) 405-412.
DOI: 10.1016/0005-2787(75)90064-7
[B048]
D.E.Pulleybank, A.R.Morgan.
J. Mol. Biol. 91 (1975) 1-13.
[B049]
W.W.Dean, J.Lebowitz.
Nature New Biol. {London} 231 (1971) 5-8.
[B050]
T.A.Beerman, J.Lebowitz.
J. Mol. Biol. 79 (1973) 451-470.
[B051]
W.Bauer, J.Vinograd. In: Basic Principles in Nucleic Acid Chemistry, ed. P.T'so.
Academic Press, New York (1974) II, pp. 265-303.
[B052]
H.M.Sobell, C.Tsai, S.Gilbert, S.Jain, T.D.Sakore. Organization of DNA in chromatin.
Proc. Natl. Acad. Sci. USA 73, No. 9, Sep. (1976) 3068-3072.
[B053]
H.B.Gray, J.Hearst.
J. Mol. Biol. 35 (1968) 111-129.
[B054]
J.C.Wang. Interaction between DNA and an Escherichia coli protein.
J. Mol. Biol. 55, Issue 3, 14 Feb. (1971) 523-533. DOI: 10.1016/0022-2836(71)90334-2
[B055]
J.J.Champoux, R.Dulbecco. An activity from mammalian cells that untwists superhelical DNA - A possible swivel for DNA replication.
Proc. Natl. Acad. Sci. USA 69, No. 1, Jan. (1972) 143-146.
[B056]
W.A.Baase, J.C.Wang. An \omega protein from Drosophila melanogaster.
Biochemistry 13 (1974) 4299-4303.
[B057]
H.P.Vosberg, L.I.Grossman, J.Vinograd.
Eur. J. Biochem. 55 (1975) 79-93.
[B058]
J.C.Wang. In: DNA Synthesis In Vitro, eds. R.D.Wells, R.B.Inman.
University Park Press, Baltimore, Md (1972) pp. 163-174.
[B059]
H.P.Vosberg, J.Vinograd.
ICN-UCLA Symposia on Molecular and Cellular Biology (1975).
[B060]
W.Keller. Characterization of purified DNA-relaxing enzyme from human tissue culture cells.
Proc. Natl. Acad. Sci. USA 72, No. 7, Jul. (1975) 2550-2554.
[B061]
A.Dugaiczyk, H.W.Boyer, H.M.Goodman.
J. Mol. Biol. 96 (1975) 171-184{5}.
[B062]
R.T{J}.Espejo, E.S.Canelo.
Virology 34 (1968) 738-747.
[B063]
D.B.Clewell.
J. Bacteriol. 110 (1972) 667-676.
[B064]
V.Hershfield, H.W.Boyer, C.Yanofsky, M.A.Lovett, D.R.Helinski.
Plasmid ColE1 as a molecular vehicle for cloning and amplification of DNA.
Proc. Natl. Acad. Sci. USA 71, No. 9, Sep. (1974) 3455-3459.
[B065]
T.-S.Hsieh, J.C.Wang. Thermodynamic properties of superhelical DNAs.
Biochemistry 14 (1975) 527-535.
[B066]
N.R.Cozzarelli, R.B.Kelly, A.Kornberg. A minute circular DNA from Escherichia coli 15.
Proc. Natl. Acad. Sci. USA 60, No. 3, Jul. 15 (1968) 992-999.
[B067]
W.Arber.
J. Mol. Biol. 20 (1966) 483-496.
[B068]
J.C.Wang.
J. Mol. Biol. 87 (1974) 797-816.
[B069]
F.W.Studier.
J. Mol. Biol. 79 (1973) 237-248.
[B070]
M.Thomas, R.W.David.
J. Mol. Biol. 91 (1975) 315-328.
[B071]
R.Radloff, W.Bauer, J.Vinograd. A dye-buoyant-density method for the detection and isolation of closed circular duplex DNA:
The closed circular DNA in Hela cells.
Proc. Natl. Acad. Sci. USA 57, No. 5, May 15 (1967) 1514-1521.
[B072]
L.G.Longthworth, D.A.MacInnes.
J. Gen. Physiol. 25 (1942) 507-516.
[B073]
H.J.Kriegstein, D.S.Hogness. Mechanism of DNA replication in drosophila chromosomes: Structure of replication forks and evidence for
bidirectionality.
Proc. Natl. Acad. Sci. USA 71, No. 1, Jan. (1974) 135-139.
[B074]
N.Davidson. Effect of DNA length on the free energy of binding of an unwinding ligand to a supercoiled DNA.
J. Mol. Biol. 66, Issue 2, 14 May (1972) 307-309. DOI: 10.1016/0022-2836(72)90482-2
[B075]
D.M.Crothers, B.H.Zimm.
J. Mol. Biol. 9 (1964) 1-9.
[B076]
S.D.Dover.
J. Mol. Biol. 110 (1977) 699-700.
[B077]
W.C.Earnshaw, S.C.Harrison. DNA arrangement in isometric phage heads. DOI: 10.1038/268598a0
Nature 268, No. 5621, 18 Aug. (1977) 598-602.
[B078]
A.Fersht. In: Enzyme Structure and Mechanism.
Freeman, San Francisco (1977) p. 90.
[B079]
M.Gellert.
Annu. Rev. Biochem. 50 (1981) 879-910.
[B080]
L.Greenfield, L.Simpson, D.Kaplan. Conversion of closed circular DNA molecules to single-nicked molecules by digestion with DNAase I in the presence of ethidium
bromide.
Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis 407, Issue 3 (1975) 365-375.
DOI: 10.1016/0005-2787(75)90104-5
[B081]
P.J.Hagerman. Investigation of the flexibility of DNA using transient electric birefringence.
Biopolymers 20, Issue 7, July (1981) 1503-1535. DOI: 10.1002/bip.1981.360200710
[B082]
J.B.Hays, B.H.Zimm.
J. Mol. Biol. 48 (1970) 297-317.
[B083]
I.Hurley, P.Osei-Gyimah, S.Archer, C.P.Scholes, L.S.Lerman. Torsional motion and elasticity of the deoxyribonucleic acid double helix and its nucleosomal complexes.
Biochemistry 21 (1982) 4999-5009.
[B084]
H.Jacobson, W.H.Stockmayer.
J. Chem. Phys. 18 (1950) 1600-1606.
[B085]
A.Klug, D.Rhodes, J.Smith, J.T.Finch, J.O.Thomas. A low resolution structure for the histone core of the nucleosome.
Nature 287, No. 5782, Oct. 9 (1980) 509-516. DOI: 10.1038/287509a0
[B086]
A.M.Maxam, W.Gilbert. A new method for sequencing DNA.
Proc. Natl. Acad. Sci. USA 74, No. 2, Feb. (1977) 560-564.
[B087]
J.E.Mertz, R.W.Davis. Cleavage of DNA by R_I restriction endonuclease generates cohesive ends.
Proc. Natl. Acad. Sci. USA 69, No. 11, Nov. (1972) 3370-3374.
[B088]
D.P.Millar, R.J.Robbins, A.H.Zewail. Torsion and bending of nucleic acids studied by subnanosecond
time-resolved fluorescence depolarization of intercalated dyes.
J. Chem. Phys. 76, Issue 4 (1982) 2080-2094. DOI: 10.1063/1.443182
[B089]
W.K.Olson. In: Stereodynamics of Molecular Systems, ed. R.H.Sarma.
Pergamon, New York (1979) pp.297-314.
[B090]
A.J.Raae, R.K.Kleppe, K.Kleppe.
Eur. J. Biochem. 60 (1975) 437-443.
[B091]
D.Rhodes, A.Klug. Helical periodicity of DNA determined by enzyme digestion.
Nature, No. 5773, Aug. 7286 (1980) 573-578. DOI: 10.1038/286573a0
[B092]
V.Sasisekharan, N.Pattabiraman. Structure of DNA predicted from stereochemistry of nucleoside derivatives.
Nature (London) 275 (1978) 159-162.
[B093]
I.Scheffler, J.Sturtevant.
J. Mol. Biol. 170 (1983) 983-1007.
[B094]
D.Shore, J.Langowski, R.L.Baldwin. DNA flexibility studied by covalent closure of short fragments into circles.
Proc. Natl. Acad. Sci. USA 78, No. 8, [Part 2: Biological Sciences], Aug. (1981) 4833-4837.
[B095]
M.Sundaralingam, E.Westhof.
Int. J. Quantum Chem. 6 (1979) 115-130.
[B096]
J.C.Thomas, S.A.Allison, C.J.Appel{h}of, J.M.Schurr.
Biophys. Chem. 12 (1980) 177-188.
[B097]
J.C.Wang. Helical repeat of DNA in solution.
Proc. Natl. Acad. Sci. USA 76, No. 1, Jan. (1979) 200-203.
[B098]
J.C.Wang, N.Davidson.
J. Mol. Biol. 15 (1966) 111-123.
[B099]
J.C.Wang, N.Davidson.
Cold Spring Harbor Symp. Quant. Biol. 33 (1968) 409-415.
[B100]
H.Yamakawa, W.H.Stockmayer. Statistical mechanics of wormlike chains. II. Excluded volume effects.
J. Chem. Phys. 57, Issue 7 (1972) 2843-2854. DOI: 10.1063/1.1678675
[B101]
P.Anderson, W.Bauer. Supercoiling in closed circular DNA: dependence upon ion type and concentration.
Biochemistry 17 (1978) 594-601.
[B102]
C.J.Benham. The statistics of superhelicity.
J. Mol. Biol. 123 (1978) 361-370.
[B103]
R.E.Dickerson, H.R.Drew.
J. Mol. Biol. 151 (1981) 535-556.
[B104]
D.S.Horowitz, J.C.Wang.
J. Mol. Biol. 173 (1984) 75-91.
[B105]
M.Le Bret. Twist and writhing in short circular DNAs according to first-order elasticity.
Biopolymers 23, Issue 10, Oct. (1984) 1835-1867. DOI: 10.1002/bip.360231004
[B106]
J.C.Marini, S.D.Levene, D.M.Crothers, P.T.Englund. Bent helical structure in kinetoplast DNA.
Proc. Natl. Acad. Sci. USA 79, No. 24, [Part 1: Biological Sciences], Dec. 15 (1982) 7664-7668.
[B107]
L.J.Peck, J.C.Wang. Sequence dependence of the helical repeat of DNA in solution.
Nature (London) 292 (1981) 375-378.
[B108]
D.Rhodes, A.Klug. Sequence-dependent helical periodicity of DNA.
Nature (London) 292 (1981) 378-380.
[B109]
J.Shimada, H.Yamakawa. Ring-closure probabilities for twisted wormlike chains. Application to DNA.
Macromolecules 17, No. 4, July (1984) 689-698.
[B110]
A.V.Vologodskii, V.V.Anshelevich, A.V.Lukashin, M.D.Frank-Kamenetskii. Statistical mechanics of supercoils and the torsional stiffness of the DNA double helix.
Nature (London) 280 (1979) 294-298.
[B111]
J.C.Wang.
Cold Spring Harbor Symp. Quant. Biol. 43 (1979) 29-33.
[B112]
S.B.Zimmerman, B.H.Pheiffer. Helical parameters of DNA do not change when DNA fibers are wetted: X-ray diffraction study.
Proc. Natl. Acad. Sci. USA 76, No. 6, Jun. (1979) 2703-2707.
[B113]
J.Klysik, S.M.Stirdivant, R.D.Wells.
J. Biol. Chem. 257 (1982) 10152-10158.
[B114]
G.R.Smith. DNA supercoiling: Another level for regulating gene expression.
Cell 24, Issue 3, Jun. (1981) 599-600. DOI: 10.1016/0092-8674(81)90085-4
[B115]
C.J.Benham. Theoretical analysis of competitive conformational transitions in
torsionally stressed DNA.
J. Mol. Biol. 150, No 1 (1981) 43-68.
[B116]
A.Seidl, H.-J.Hinz. The free energy of DNA supercoiling is enthalpy-determined.
Proc. Natl. Acad. Sci. USA 81, No. 5, [Part 1: Biological Sciences], Mar. 1 (1984) 1312-1316.
[B117]
M.Hogan, J.LeGrange, B.Austin. Dependence of DNA helix flexibility on base composition.
Nature 304, No 25 (1983) 752-754.
[B118]
G.W.Brady, D.B.Fein, H.Lambertson, V.Grassian, D.Foos, C.J.Benham.
X-Ray scattering from the superhelix in circular DNA.
Proc. Natl. Acad. Sci. USA 80, No. 3, [Part 1: Biological Sciences], Feb. 1 (1983) 741-744.
[B119]
H.R.Drew, R.M.Wing, T.Takano, C.Broka, S.Tanaka, K.Itakura, R.E.Dickerson. Structure of a B-DNA dodecamer: Conformation and dynamics.
Proc. Natl. Acad. Sci. USA 78, No. 4, [Part2: Biological Sciences], Apr. (1981) 2179-2183.
[B120]
J.Vinograd, J.Lebowitz.
J. Gen. Physiol. 49 (1966{5}) 103-125.
[B121]
J.Vinograd, J.Lebowitz, R.Watson.
J. Mol. Biol. 33 (1968) 173.
[B122]
F.B.Fuller. In: Mathematical Problems in the Biological Sciences.
Proceedings of Symposia in Applied Mathematics, ed. R.E.Bellman (American Mathematical
Society) Providence, RI, 14 (1962) 64-68.
[B123]
P.Fong.
J. Theor. Biol. 15 (1967) 230-235.
[B124]
J.C.Wang, D.Baumgarten, B.Olivera. On the origin of tertiary turns in covalently closed double-stranded cyclic DNA.
Proc. Natl. Acad. Sci. USA 58, No. 5, Nov. 15 (1967) 1852-1858.
[B125]
R.D.Camerini-Otero, G.Felsenfeld.
Nucl. Acids Res. 4 (1977) 1159-1181.
[B126]
J.E.Godfrey, H.Eisenberg.
Biophys. Chem. 5 (1976) 301-318.
[B127]
D.Jolly, H.Eisenberg. Photon correlation spectroscopy, total intensity light scattering with laser radiation, and hydrodynamic studies of a well fractionated DNA sample.
Biopolymers 15, Issue 1, Jan. (1976) 61-95. DOI: 10.1002/bip.1976.360150107
[B128]
F.H.C.Crick, A.Klug.
Nature 255 (1975) 530-533.
[B129]
A.V.Lukashin, A.V.Vologodskii, M.D.Fran{c}k-Kamenetskii, Y.L.Lyubchenko.
J. Mol. Biol. 108 (1976) 665-682.
[B130]
R.A.Harris, J.E.Hearst.
J. Chem. Phys. 44 (1966) 2595-2602.
[B131]
S.Arnott, D.W.L.Hukins.
J. Mol. Biol. 81 (1973) 93-105.
[B132]
J.A.Schellman. Flexibility of DNA.
Biopolymers 13, Issue 1, (1974) 217-226. DOI: 10.1002/bip.1974.360130115
[B133]
M.Le Bret.
Thesis, Paris (1977).
[B134]
R.T.Kovacic, K.E.Van Holde. Sedimentation of homogeneous double-strand DNA molecules.
Biochemistry 16 (1977) 1490-1498.
[B135]
R.Bruner, J.Vinograd. The evaluation of standard sedimentation coefficients of sodium RNA and sodium DNA from sedimentation velocity data in concentrated
NaCl and CsCl solutions.
Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis 108, Issue 1 (1965) 18-29.
DOI: 10.1016/0005-2787(65)90104-8
[B136]
Y.Suezaki, N.Go. Fluctuations and mechanical strength of $\alpha$-helices of polyglycine and poly(L-alanine).
Biopolymers 15, Issue 11, (1976) 2137-2153. DOI: 10.1002/bip.1976.360151104
[B137]
J.Paoletti, B.B.Magee, P.T.Magee. The structure of chromatin: interaction of ethidium bromide with native and denatured chromatin.
Biochemistry 16 (1977) 351-357.
[B138]
J.M.Saucier, J.C.Wang.
Nature [New Biol.] 239 (1972) 167-170.
[B139]
J.C.Wang, J.H.Jacobsen, J.M.Saucier.
Nucl. Acids. Res. 4 (1977) 1225-1235.
[B140]
J.Paoletti, J.-B.Le Pecq.
J. Mol. Biol. 59 (1971) 43-62.
[B141]
M.Le Bret, O.Chalvet.
J. Mol. Struct. 37 (1977) 299-319.
[B142]
J.-B.Le Pecq, C.Paoletti.
J. Mol. Biol. 27 (1967) 87-106.
[B143]
M.Hogan, J.Wang, R.H.Austin, C.L.Monitto, S.Hershkowitz. Molecular motion of DNA as measured by triplet anisotropy decay.
Proc. Natl. Acad. Sci. USA 79, No. 11, [Part 1: Biological Sciences], Jun. 1 (1982) 3518-3522.
[B144]
J.Wang, M.Hogan, R.H.Austin. DNA motions in the nucleosome core particle.
Proc. Natl. Acad. Sci. USA 79, No. 19, [Part 1: Biological Sciences], Oct. 1 (1982) 5896-5900.
[B145]
W.Muller, D.M.Crothers.
Eur. J. Biochem. 54 (1975) 267-277.
[B146]
A.G.W.Leslie, S.Arnott{, R.Chandrasekaran, R.L.Ratliff}.
J. Mol. Biol. 143 (1980) 49-72.
[B147]
M.Hogan, N.Dattagupta, D.M.Crothers. Transient electric dichroism of rod-like DNA molecules.
Proc. Natl. Acad. Sci. USA 75, No. 1, Jan. (1978) 195-199.
[B148]
D.M.Crothers, W.Muller.
Cancer Chemother. Rep. 58 (1974) 97-100.
[B149]
B.H.Robinson et al.
J. Mol. Biol. 139 (1980) 19-44.
[B150]
J.M.Schurr, S.A.Allison. Polyelectrolyte contribution to the persistence length of DNA.
Biopolymers 20, Issue 2, (1981) 251-268. DOI: 10.1002/bip.1981.360200202
[B151]
D.P.Millar, R.J.Robbins, A.H.Zewail. Direct observation of the torsional dynamics of DNA and RNA by picosecond spectroscopy.
Proc. Natl. Acad. Sci. USA 77, No. 10, [Part 1: Physical Sciences], Oct. (1980) 5593-5597.
[B152]
J.T.Finch, L.C.Lutter, D.Rhodes, R.S.Brown, B.Rushton, M.Levitt, A.Klug.
Structure of nucleosome core particles of chromatin.
Nature 269 (1977) 29-36.
[B153]
K.Tatchell, K.E.Van Holde. Reconstitution of chromatin core particles.
Biochemistry 16 (1977) 5295-5303.
[B154]
M.Hogan, O.Jardetzky. Effect of ethidium bromide on deoxyribonucleic acid internal motions.
Biochemistry 19 (1980) 2079-2085.
[B155]
M.Hogan, N.Dattagupta, D.M.Crothers. Transient electric dichroism studies of the structure of the DNA complex with intercalated drugs.
Biochemistry 18 (1979) 280-288.
[B156]
D.R.Helinski, D.B.Clewell.
A. Rev. Biochem. 40 (1971) 899.
[B157]
M.Salditt, S.N.Brownstein, R.D.Camerini-Otero, R.M.Franklin.
Virology 34 (1968) 738.
[B158]
J.P.Richardson.
J. Mol. Biol. 78 (1973) 703.
[B159]
U.Bonse, M.Hart.
Z. Physik. 189 (1966) 151.
[B160]
O.Kratky. Small Angle Scattering (edit. by H.Brumberger).
Gordon and Breach, New York (1967).
[B161]
D.Freifelder.
J. Mol. Biol. 60 (1971) 474.
[B162]
D.Freifelder.
J. Mol. Biol. 35 (1968) 303.
[B163]
W.Cochran, F.H.C.Crick, V.Vand. The structure of synthetic polypeptides. I. The transform of atoms on a helix.
Acta Crystallogr. 5 (1952) 581-586. DOI: 10.1107/S0365110X52001635
[B164]
R.C.Jones. X-ray diffraction by randomly oriented line gratings.
Acta Crystallogr. 2 (1949) 252-257. DOI: 10.1107/S0365110X49000643
[B165]
W.B.Upholt, H.B.Gray, J.Vinograd.
J. Mol. Biol. 61 (1971) 21.
[B166]
M.Wadati, H.Tsuru.
In: Proceedings of Symposium on Computer Analysis for Life Sciences, Okayama, Japan, July 9-12, 1985 (1986).
[B167]
F.Tanaka, H.Takahashi. Elastic theory of supercoiled DNA.
J. Chem. Phys. 83 (11), 1 Dec (1985) 6017-6026. DOI: 10.1063/1.449637
[B168]
J.C.Wang. DNA topoisomerases: enzymes that catalyze the concerted breaking and
rejoining of DNA backbone bonds
In: Molecular Genetics, ed. J.H.Taylor, Academic Press (1979).
[B169]
F.H.C.Crick, J.C.Wang, W.R.Bauer. Is DNA really a double helix?
J. Mol. Biol. 129, No. 3 (1979) 449-457{461}.
[B170]
N.R.Cozzarelli. DNA Gyrase and supercoiling of DNA.
Science 207, No. 4434 (1980) 953-960.
[B171]
V.Bloomfield, D.Crothers, I.Tinoco. Physical Chemistry of Nucleic Acids.
Harper & Row, New York (1974).
[B172]
C.J.Benham.
Torsional stress and local denaturation in supercoiled DNA.
Proc. Natl. Acad. Sci. USA 76, No. 8, Aug. (1979) 3870-3874.
[B173]
D.M.J.Lilley. The inverted repeat as a recognizable structural feature in supercoiled DNA molecules.
Proc. Natl. Acad. Sci. USA 77, No. 11, [Part 2: Biological Sciences], Nov. (1980) 6468-6472.
[B174]
C.K.Singleton, J.Klysik, S.M.Stirdivant, R.D.Wells. Left-handed Z-DNA is induced by supercoiling in physiological ionic conditions.
Nature 299, No. 5881, Sep. 23 (1982) 312-316. DOI: 10.1038/299312a0
[B175]
D.Poland, H.Scheraga.
J. Chem. Phys. 45 (1966) 1464-1469{8}.
[B176]
S.Arnott, R.Chandrasekharan, D.W.L.Hukins, P.{R.S.C.}Smith, L.Watts.
J. Mol. Biol. 88 (1974) 523-533.
[B177]
S.Arnott, R.Chandrasekaran, D.L.Birdsall, A.G.W.Leslie, R.L.Ratliff. Left-handed DNA helices.
Nature 283, No. 5749, Feb. 21 (1980) 743-745. DOI: 10.1038/283743a0
[B178]
C.J.Benham.
Theoretical analysis of transitions between B- and Z-conformations in torsionally stressed DNA.
Nature 286, No. 5773, Aug. 7 (1980) 637-638. DOI: 10.1038/286637a0
[B179]
C.J.Benham.
The equilibrium statistical mechanics of the helix-coil transition in torsionally stressed DNA.
J. Chem. Phys. 72, Issue 6 (1980) 3633-3639. DOI: 10.1063/1.439625
[B180]
C.Brack, T.Bickle, R.Yuan.
J. Mol. Biol. 96 (1975) 693-702.
[B181]
S.Bram, P.Tougard.
Nature New Biol. 239 (1972) 128-131.
[B182]
A.Collins, R.Johnson.
Nucl. Acids Res. 7 (1979) 1311-1320.
[B183]
D.M.Crothers, H.C.Spatz. Theory of friction-limited DNA unwinding.
Biopolymers 10, Issue 10, (1971) 1949-1972. DOI: 10.1002/bip.360101013
[B184]
M.Domon, A.Rauth.
Radiat. Res. 35 (1968) 350-368.
H.Drew, T.Takano, S.Tanaka, K.Itakura, R.Dickerson.
Nature 286 (1980) 567-573.
[B186]
K.Drlica, M.Snyder.
J. Mol. Biol. 120 (1978) 145-154.
[B187]
R.Franklin, R.Gosling.
Nature 171 (1953) 740-741.
[B188]
F.Gates, S.Linn.
J. Biol. Chem. 252 (1977) 2802-2807.
[B189]
M.Gellert, M.H.O'Dea, T.Itoh, J.-I.Tomizawa. Novobiocin and coumermycin inhibit DNA supercoiling catalyzed by DNA gyrase.
Proc. Natl. Acad. Sci. USA 73, No. 12, Dec. (1976) 4474-4478.
[B190]
M.Gellert, K.Mizuuchi, M.O'Dea, H.Ohmori, J.Tomizawa.
Cold Spring Harbor Symp. Quantum Biol. 43 (1978) 35-40.
[B191]
P.Hanawalt, R.Haynes.
Biochem. Biophys. Res. Commun. 19 (1965) 462-467.
[B192]
P.Hanawalt, E.Friedberg, C.Fox. DNA Repair Mechanisms.
Academic Press, New York (1978).
[B193]
P.Hanawalt, P.Cooper, A.Ganesan, C.Smith.
Annu. Rev. Biochem. 48 (1979) 783-836.
[B194]
F.N.Hayes, D.L.Williams, R.L.Ratliff, A.J.Varghese, C.S.Rupert.
Effect of a single thymine photodimer on the oligodeoxythymidylate-polydeoxyadenylate interaction.
Journal of the American Chemical Society 93, No. 19, Sep. 22 (1971) 4940-4942.
[B195]
J.Hays, S.Boehmer. Antagonists of DNA gyrase inhibit repair and recombination of UV-irradiated phage $\lambda$.
Proc. Natl. Acad. Sci. USA 75, No. 9, Sep. (1978) 4125-4129.
[B196]
I.Ivanov, L.Minchenkova, E.Minyat, M.D.Frank-Kamenetskii, A.Schyolkina.
J. Mol. Biol. 87 (1974) 817-833.
[B197]
P.Lau, H.Gray.
Nucl. Acids Res. 6 (1979) 331-357.
[B198]
L.Liu, C.Liu, B.Alberts.
Nature (London) 281 (1979) 456-461.
[B199]
M.A.Lovett, R.B.Sparks, D.R.Helinski. Bidirectional replication of plasmid R6K DNA in Escherichia coli;
Correspondence between origin of replication and position of single-strand break in Relaxed Complex.
Proc. Natl.Acad. Sci. USA 72, No. 8, Aug. (1975) 2905-2909.
[B200]
A.Luchnik.
Mol. Biol. Rep. 6 (1980) 3-9.
[B201]
M.F.Maestre, J.C.Wang. Circular dichroism of superhelical DNA.
Biopolymers 10, Issue 6, (1971) 1021-1030. DOI: 10.1002/bip.360100608
[B202]
M.Mattern, R.Painter.
J. Cell Biol. 79 (1978) 136a.
[B203]
M.R.Mattern, R.B.Painter. Dependence of mammalian DNA replication on DNA supercoling I. Effects of ethidium bromide on DNA synthesis in permeable Chinese
hamster ovary cells.
Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis 563, Issue 2 (1979) 293-305. DOI: 10.1016/0005-2787(79)90048-0
[B204]
Y.Mitsui, R.Langridge, R.Grant, M.Kodama, R.Wells, B.Shortie, C.Cantor.
Nature (London) 288 (1970) 1166-1169.
[B205]
W.Moore. Physical Chemistry, 4th Ed.
Prentice-Hall, Englewood Cliffs (1972).
[B206]
S.D.Park, J.E.Cleaver. Postreplication repair: Questions of its definition and possible alteration in Xeroderma Pigmentosum cell strains.
Proc. Natl. Acad. Sci. USA 76, No. 8, Aug. (1979) 3927-3931.
[B207]
D.E.Pettijohn, O.Pfenninger. Supercoils in prokaryotic DNA restrained in vivo.
Proc. Natl. Acad. Sci. USA 77, No. 3, [Part 2: Biological Sciences], Mar. (1980) 1331-1335.
[B208]
J.Pilet, J.Brahms.
Nature New Biol. 236 (1972) 99-100.
[B209]
F.Pohl, T.Jovin.
J. Mol. Biol. 67 (1972) 375-396.
[B210]
L.F.Povirk, R.B.Painter. The effect of 313 nanometer light on initiation of replicons in mammalian cell DNA containing bromodeoxyuridine.
Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis 432, Issue 3 (1976) 267-272.
DOI: 10.1016/0005-2787(76)90135-0
[B211]
R.R.Sinden, J.O.Carlson, D.E.Pettijohn. Torsional tension in the DNA double helix measured with trimethylpsoralen in living E. coli cells:
Analogous measurements in insect and human cells.
Cell 21, Issue 3, Oct. (1980) 773-783. DOI: 10.1016/0092-8674(80)90440-7
[B212]
E.A.Waldstein, S.Peller, R.B.Setlow. UV-endonuclease from calf thymus with specificity toward pyrimidine dimers in DNA.
Proc. Natl. Acad. Sci. USA 76, No. 8, Aug. (1979) 3746-3750.
[B213]
A.H.-J.Wang, G.J.Quigley, F.J.Kolpak, J.L.Crawford, J.H.van Boom, G.van der Marel, A.Rich.
Molecular structure of a left-handed double helical DNA fragment at atomic resolution.
Nature (London) 282 (1979) 680-686.
[B214]
J.Watson, F.Crick.
Nature (London) 171 (1953) 737-738.
[B215]
M.Woodworth-Gutai, J.Lebowitz.
J. Virol. 18 (1976) 195-204.
[B216]
S.Zimmerman, B.Pheiffer.
J. Mol. Biol. 135 (1979) 1023-1027.
[B217]
J.M.Rosenberg, N.C.Seeman, R.O.Day, A.Rich.
J. Mol. Biol. 104 (1976) 145-167.
[B218]
B.Hingerty, E.Subramanian, S.D.Stellman, T.Sato, S.B.Broyde, R.Langridge. The crystal and molecular structure of a calcium salt of guanylyl-3',5'-cytidine (GpC).
Acta Crystallogr. B 32 (1976) 2998-3013. DOI: 10.1107/S0567740876009448
[B219]
N.C.Seeman, J.M.Rosenberg, F.L.Suddath, J.J.P.Kim, A.Rich.
J. Mol. Biol. 104 (1976) 109-144.
[B220]
J.L.Sussman, N.C.Seeman, S.H.Kim, H.M.Berman.
J. Mol. Biol. 66 (1972) 403-422.
[B221]
N.Camerman, J.K.Fawcett, A.Camerman.
J. Mol. Biol. 107 (1976) 601-621.
[B222]
D.Suck, P.C.Manor, W.Saenger. The structure of a trinucleoside diphosphate: adenylyl-(3',5')-adenylyl-(3',5')-adenosine hexahydrate.
Acta Crystallogr. B 32 (1976) 1727-1737. DOI: 10.1107/S0567740876006316
[B223]
V.Sasisekharan, N.Pattabiraman.
Current Sci. 45 (1976) 779-783.
[B224]
M.Sundaralingam. Stereochemistry of nucleic acids and their constituents.
IV. Allowed and preferred conformations of nucleosides, nucleoside mono-, di-, tri-, tetraphosphates, nucleic acids and polynucleotides.
Biopolymers 7, Issue 6, (1969) 821-860. DOI: 10.1002/bip.1969.360070602
[B225]
N.Yathindra, M.Sundaralingam. Backbone conformations in
secondary and tertiary structural units of nucleic acids. Constraint in the phosphodiester conformation.
Proc. Natl. Acad. Sci. USA 71, No. 9, Sep. (1974) 3325-3328.
[B226]
V.Sasisekharan, A.V.Lakshminarayanan. Stereochemistry of nucleic acids and polynucleotides. VI. Minimum energy conformations of dimethyl phosphate.
Biopolymers 8, Issue 4, (1969) 505-514. DOI: 10.1002/bip.1969.360080407
[B227]
N.Yathindra, M.Sundaralingam.
Nucleic Acids Res. 3 (1976) 729-747.
[B228]
S.-H.Kim, H.M.Berman, N.C.Seeman, M.D.Newton. Seven basic conformations of nucleic acid structural units.
Acta Crystallogr. B 29 (1973) 703-710. DOI: 10.1107/S0567740873003201
[B229]
S.H.Kim, J.L.Sussman.
Nature 260 (1976) 645-646.
[B230]
S.Arnott, D.W.L.Hukins, S.D.Dover, W.Fuller, A.R. Hodgson.
J. Mol. Biol. 81 (1973) 107-122.
[B231]
S.Arnott, S.D.Dover, A.J.Wonacott. Least-squares refinement of the crystal and molecular structures of DNA and RNA from X-ray data and standard bond lengths and angles.
Acta Crystallogr. B 25 (1969) 2192-2206. DOI: 10.1107/S0567740869005450
[B232]
D.A.Marvin, M.Spencer, M.F.H.Wilkins, L.D.Hamilton
J. Mol. Biol. 3 (1961) 547-565.
[B233]
V.Sasisekharan, N.Pattabiraman, Goutam Gupta.
Current Sci. 46 (1977) 763-764.
[B234]
O.Kratky, G.Porod.
Recl. Trav. Chim. 68 (1949) 1106.
[B235]
S.A.Allison, J.M.Schurr.
Chem. Phys. 41 (1979) 35.
[B236]
L.F.Liu, C.C.Liu, B.M.Alberts.
Cell 19, Issue 3, (1980) 697.
[B237]
M.B.Hays, M.Magar, B.H.Zimm.
Biopolymers 8 (1969) 531. DOI:
[B238]
T.Yoshizaki, M.Osa, H.Yamakawa. Dynamics of coarse-grained helical wormlike chains. II. Eigenvalue problems.
J. Chem. Phys. 105, Issue 24 (1996) 11268-11275. DOI: 10.1063/1.472868
[B239]
A.L.Lehninger. Biochemistry, 2nd ed.
Worth (1975).
[B240]
M.Kohli, W.N.Mei, E.W.Prohofsky, L.L. Van Zandt.
Biopolymers 20 (1981) 853. DOI:
[B241]
G.S.Edwards, C.C.Davis, J.D.Saffer, M.L.Swicord. Resonant microwave absorption of selected DNA molecules.
Phys. Rev. Lett. 53, Issue 13, September 24 (1984) 1284-1287.
DOI: 10.1103/PhysRevLett.53.1284
[B242]
M.D.Frank-Kamenetskii, A.V.Lukashin, A.V.Vologodskii. Statistical mechanics and topology of polymer chains.
Nature (London) 258 (1975) 398-402.
[B243]
C.J.Benham. Stable cruciform formation at inverted repeat sequences in
supercoiled DNA.
Biopolymers 21 (1982) 679-696. DOI:
[B244]
G. von Heijne, C. Blomberg.
J. Theor. Biol. 63 (1976) 347-353.
[B245]
N.Panayotatos, R.Wells.
Nature 289 (1981) 466-470.
[B246]
D.M.J.Lilley.
Nucleic Acids Res. 9 (1981) 1271-1289.
[B247]
A.V., A.V.Lukashin, V.V.Anshelevich, M.D.Frank-Kamenetskii. Fluctuations in superhelical DNA.
Nucleic Acids Res. 6 (1979) 967-982.
[B248]
V.V.Anshelevich, A.V.Vologodskii, A.V.Lukashin, M.D.Frank-Kamenetskii. Statistical-mechanical treatment of violations of the double helix in supercoiled DNA.
Biopolymers 18 (1979) 2733-2744. DOI:
[B249]
M.Fisher.
J. Chem. Phys. 45 (1966) 1469-1473.
[B250]
T.Fink, D.Crothers.
J. Mol. Biol. 66 (1972) 1-12.
[B251]
J.Gralla, D.Crothers.
J. Mol. Biol. 78 (1973) 301-319.
[B252]
I.Tinoco, P.Boer, B.Dengler, M.Levine, O.Uhlenbeck, D.Crothers, J.Gralla.
Nature (New Biol.) 246 (1973) 40-41.
[B253]
D.Galas.
J. Theor. Biol. 72 (1978) 57-73.
[B254]
S.C.Falco, R.Zivin, L.B.Rothman-Denes. Novel template requirements of N4 virion RNA polymerase.
Proc. Natl. Acad. Sci. USA 75, No. 7, Jul. (1978) 3220-3224.
[B255]
K.Mizuuchi, M.Gellert, H.Nash.
J. Mol. Biol. 121 (1978) 375-392.
[B256]
J.Shlomai, A.Kornberg. An Escherichia coli replication protein that recognizes a unique sequence within a hairpin
region in ?X174 DNA.
Proc. Natl. Acad. Sci. USA 77, No. 2, [Part 2: Biological Sciences], Feb. (1980) 799-803.
[B257]
M.P.Calos, J.H.Miller. Transposable elements.
Cell 20, Issue 3, Jul. (1980) 579-595. DOI: 10.1016/0092-8674(80)90305-0
[B258]
K.Shimotohno, S.Mizutani, H.Termin.
Nature 285 (1980) 550-554.
[B259]
D.Blair, M.Oskarsson, T.Wood, W.McClements, P.Fischinger, G.VandeWonde.
Science 212 (1981) 941-943.
[B260]
V.I.Lim, A.L.Mazanov. Tertiary structure for palindromic regions of DNA.
FEBS Letters 88, Issue 1, Apr. 1 (1978) 118-123. DOI: 10.1016/0014-5793(78)80621-8
[B261]
N.Z.Namoradze, A.N.Goryunov, T.M.Birshtein.
Biophys. Chem. 7 (1977) 59-70.
[B262]
J.L.Sussman, E.N.Trifonov. Possibility of nonkinked packing of DNA in chromatin.
Proc. Natl. Acad. Sci. USA 75, No. 1, Jan. (1978) 103-107.
[B263]
M.Levitt. How many base-pairs per turn does DNA have in solution and in chromatin? Some theoretical calculations.
Proc. Natl. Acad. Sci. USA 75, No. 2, Feb. (1978) 640-644.
[B264]
V.B.Zhurkin, Y.P.Lysov, V.I.Ivanov.
Nucleic Acids Res. 6 (1979) 1081-1096.
[B265]
S.C.Riemer, V.A.Bloomfield. Packaging of DNA in bacteriophage heads: Some considerations on energetics.
Biopolymers 17, No. 3, Mar. (1978) 785-794. DOI: 10.1002/bip.1978.360170317
[B266]
H.Yamakawa, M.Fujii. Intrinsic viscosity of wormlike chains. Determination of the shift factor.
Macromolecules 7, No. 1, Jan. (1974) 128-135.
[B267]
M.T.Record Jr., C.P.Woodbury, R.B.Inman.
Biopolymers 14 (1975) 393-408. DOI:
[B268]
B.N.Belintsev, A.V.Gagua, S.A.Nedospasov.
Nucleic Acids Res. 6 (1979) 983-992.
[B269]
M.Shure, D.E.Pulleyblank, J.Vinograd.
Nucleic Acids Res. 4 (1977) 1183{5}-1205.
[B270]
A.V.Vologodskii, A.V.Lukashin, M.D.Frank-Kamenetskii, V.V.Anshelevich.
Sov. Phys.-JETP 39 (1974) 1059-1063.
[B271]
M.D.Frank-Kamenetskii, Y.S.Lazurkin.
Conformational changes in DNA molecules.
Annual Review of Biophysics and Bioengineering 3, Jun. (1974) 127-150. DOI: 10.1146/annurev.bb.03.060174.001015
[B272]
A.V.Lukashin, A.V.Vologodskii, M.D.Frank-Kamenetskii, Y.L.Lyubchenko.
J. Mol. Biol. 108 (1976) 665-682.
[B273]
V.B.Zhurkin, Y.P.Lysov, V.I.Ivanov.
Biopolymers 17 (1978) 377-412. DOI:
[B274]
M.-T.Hsu, M.Coca-Prados. Electron microscopic evidence for the circular form of RNA in the cytoplasm of eukaryotic cells.
Nature 280, July 26 (1979) 339-340.
[B275]
S.Arnott, P.J.Bond, R.Chandrasekaran. Visualization of an unwound DNA duplex.
Nature (London) 287 (1980) 561-563.
[B276]
D.M.J.Lilley. In vivo consequences of plasmid topology.
Nature (London) 292 (1981) 380-382.
[B277]
S.Neidle. New twists to DNA and DNA-carcinogen interactions.
Nature (London) 292 (1981) 292-293.
[B278]
M.Le Bret. Monte Carlo computation of the supercoiling energy, the sedimentation constant,
and the radius of gyration of unknotted and knotted circular DNA.
Biopolymers 19, Issue 3, (1980) 619-637. DOI: 10.1002/bip.1980.360190312
[B279]
E.Guitter, S.Leibler. On supercoiling instability in closed DNA.
Europhysics Letters 17, No. 7 (1992) 643-648.
[B280]
M.Salerno. Discrete model for DNA-promoter dynamics.
Physical Review A 44, No. 8 (1991) 5292-5297. DOI: 10.1103/PhysRevA.44.5292
[B281]
Y.Shi, J.E.Hearst. The Kirchhoff elastic rod, the nonlinear
Schroedinger equation, and DNA supercoiling.
J. Chem. Phys. 101 (6) (1994) 5186-5200. DOI: 10.1063/1.468506
[B282]
R.S.Manning, J.H.Maddocks, J.D.Kahn. A continuum rod model of sequence-dependent DNA structure.
J. Chem. Phys. 105 (13) (1996) 5626-5646. DOI: 10.1063/1.472373
[B283]
T.P.Westcott, I.Tobias, W.K.Olson. Elasticity theory and numerical
analysis of DNA supercoiling: An application to DNA looping.
J. Phys. Chem. 99 (1995) 17926-17935.
[B284]
F.Juelicher. Supercoiling transitions of closed DNA.
Physical Review E 49, No. 3 (1994) 2429-2435. DOI: 10.1103/PhysRevE.49.2429
[B285]
Y.Yang, I.Tobias, W.K.Olson. Finite element analysis of DNA supercoiling.
J. Chem. Phys. 98 (2) (1993) 1673-1686. DOI: 10.1063/1.464283
[B286]
C.R.Calladine, H.R.Drew. Understanding DNA. The molecule and how it works.
Academic Press, 1st ed-n, 1992; 2nd ed-n, 1997.
[B287]
P.J.Hagerman. Flexibility of DNA.
Annual Review of Biophysics and Biophysical Chemistry 17, Jun. (1988) 265-286. DOI: 10.1146/annurev.bb.17.060188.001405
[B288]
Chun-Ting Zhang. Soliton excitations in deoxyribonucleic acid (DNA) double helices.
Physical Review A 35, No. 2 (1987) 886-891. DOI: 10.1103/PhysRevA.35.886
[B289]
Y.Shi, A.E.Borovik, J.E.Hearst. Elastic rod model incorporating shear and extension,
generalized nonlinear Schroedinger equations, and novel closed-form solutions for supercoiled DNA.
J. Chem. Phys. 103 (8) (1995) 3166-3183. DOI: 10.1063/1.470250
[B290]
D.H.Turner, N.Sugimoto, S.M.Freier. RNA structure prediction.
Annual Review of Biophysics and Biophysical Chemistry 17, Jun. (1988) 167-192. DOI: 10.1146/annurev.bb.17.060188.001123
[B291]
S.Yomosa. Solitary excitations in deoxyribonucleic acid (DNA) double helices.
Physical Review A 30, No. 1 (1984) 474-480. DOI: 10.1103/PhysRevA.30.474
[B292]
M.D.Frank-Kamenetskii, A.V.Vologodskii. Topological aspects of the physics of polymers: The theory and its biophysical applications.
Soviet Physics - Uspekhi 24, No. 8 (Aug.) (1981) 679-696.
[Topologicheskie aspekty fiziki polimerov: teorija i ejo biofizicheskie prilozhenija
Uspekhi fizicheskih nauk 134, vyp. 4, avgust (1981) 641-673.
Œ.„.”p ª-Š ¬¥¥æª¨©, €.‚.‚®«®£®¤áª¨©. ’®¯®«®£¨ç¥áª¨¥ ᯥªâë 䨧¨ª¨
¯®«¨¬¥à®¢: ⥮à¨ï ¨ ¥¥ ¡¨®ä¨§¨ç¥áª¨¥ ¯à¨«®¦¥¨ï
“”, â. 134, ¢ë¯. 4
(1981) 641-673.]
[B293]
Yu.Magarshak, C.J.Benham. An algebraic representation of RNA secondary
structures.
J. of Biomolecular Structures & Dynamics 10, No. 3 (1992) 465-488.
[B294]
H.Yamakawa, M.Fujii. Statistical mechanics of helical wormlike chains. I. Differential equations and moments.
J. Chem. Physics 64, No. 12 (1976) 5222-5228. DOI: 10.1063/1.432197
[B295]
T.Schlick, W.K.Olson, T.Westcott, J.P.Greenberg. On higher buckling transitions in supercoiled DNA.
Biopolymers 34 (1994), Issue 5, 565-597. DOI: 10.1002/bip.360340502
[B296]
C.J.Benham. Onset of writhing in circular elastic polymers.
Phys. Rev. A 39, No. 5 (1989) 2582-2586. DOI: 10.1103/PhysRevA.39.2582
[B297]
G.S.Manning. Polymer persistence length characterized as a critical length for instability caused by a fluctuating twist.
Phys. Rev. A 34, No. 1 (1986) 668-670. DOI: 10.1103/PhysRevA.34.668
[B298]
J.Langowski, U.Kapp, K.Klenin, A.V.Vologodskii. Solution structure and
dynamics of DNA topoisomers: dynamic light scattering studies and Monte Carlo simulations.
Biopolymers 34 (1994) 639-646. DOI:
[B299]
L.H.Kauffman, Yu.Magarshak. Graph invariants and the topology of RNA folding.
J. of Knot Theory and Its Ramifications 3, No. 3 (Special Issue, 1994) 233-245.
[B300]
R.Nussinov, I.Tinoco, Jr. Sequential folding of a messenger RMA molecule.
J. Mol. Biol. 151 (1981) 519-533.
[B301]
V.L.Golo, E.I.Kats, Yu.M.Yevdokimov. Toroidal structures due to
anisotropy of DNA-like molecules.
J. of Biomolecular Structure & Dynamics 15, No. 4 (1998) 757-764.
[B302]
J.A.Jaeger, D.H.Turner, M.Zuker. Improved predictions of secondary structures for RNA.
Proc. Natl. Acad. Sci. USA 86, No. 20, Oct. 15 (1989) 7706-7710.
[B303]
S.Freier, R.Kierzek, J.A.Jaeger, N.Sugimoto, M.H.Caruthers, T.Neilson, D.H.Turner.
Improved free-energy parameters for predictions of RNA duplex stability.
Proc. Natl. Acad. Sci. USA 83, No. 24, Dec. 15 (1986) 9373-9377.
[B304]
J.E.Hearst, N.G.Hunt. Statistical mechanical theory for the plectonemic DNA supercoil.
J. Chem. Physics 95, No. 12 (1991) 9322-9328. DOI: 10.1063/1.461810
[B305]
N.G.Hunt, J.E.Hearst. Elastic model of DNA supercoiling in the infinite-length limit.
J. Chem. Physics 95, No. 12 (1991) 9329-9336. DOI: 10.1063/1.461161
[B306]
Y.Shi, J.E.Hearst, T.C.Bishop, H.R.Halvorson. Erratum: "The Kirchhoff elastic
rod, the nonlinear Schroedinger equation, and DNA supercoiling" [J. Chem. Phys.
101, 5186 (1994)]. J. Chem. Phys. 109 (7) (1998) 2959-2961. DOI: 10.1063/1.476848
[B307]
A.Stasiak, J.Dubochet, P.Furrer, O.Gonzalez, J.H.Maddocks. DNA: uncooked,
al dente, or scotti?
Science 283, 12 March 1999, 1641.
[B308]
M.H.Werner, A.M.Gronenborn, G.M.Clore. Intercalation, DNA kinking and the control of transcription.
Science 271, No. 5250, 9 Feb. (1996) 778-784.
[B309]
P.Cluzel, A.Lebrun, C.Heller, R.Lavery, J.-L.Viovy, D.Chatenay, F.Caron. DNA: An Extensible Molecule.
Science 271, No. 5250, 9 Feb. (1996) 792-794.
[B310]
S.B.Smith, Y.Cui, C.Bustamante. Overstretching B-DNA: the elastic response
of individual double-stranded and single-stranded DNA molecules.
Science 271, No. 5250, 9 Feb. (1996) 795-799.
[B311]
J.E.Hearst, Y.Shi. New solutions for the stationary states of the elastic
rod model are useful in the representation of DNA configuration in the living cell.
Nonlinear Science Today 5, 1 (1995), Article 9509A01.333, 38 p.
[B312]
T.C.Bishop, J.E.Hearst. Potential function describing the folding of the 30 nm fiber.
J. Phys. Chem. B 102 (33) (1998) 6433-6439. DOI: 10.1021/jp980909s
[B313]
M.Gh.Munteanu, M.M.Gromiha, S.Pongor. Non-linear behaviour of anisotropic elastic bending models of DNA.
Nonlinear Science Today (1998) 4 p.
[B314]
T.Schlick. Modeling superhelical DNA: recent analytical and dynamic approaches.
Current Opinion in Structural Biology
5 (1995) 245-262. DOI: 10.1016/0959-440X(95)80083-2
[B315]
W.K.Olson. Simulating DNA at low resolution.
Current Opinion in Structural Biology
6 (1996) 242-256. DOI: 10.1016/S0959-440X(96)80082-0
[B316]
B.D.Coleman, I.Tobias, D.Swigon. Theory of the influence of end conditions on self-contact in DNA loops.
J. Chem. Phys. 103 (20) (1995) 9101-9109. DOI: 10.1063/1.470021
[B317]
I.Tobias, B.D.Coleman, W.Olson. The dependence of DNA tertiary structure on end conditions: theory and implications for topological conditions.
J. Chem. Phys. 101 (12) (1994) 10990-10996. DOI: 10.1063/1.467849
[B318]
A.Lahiri. Structure and energetics of plectonemically supercoiled DNA.
Biopolymers 34, Issue 6, (1994) 799-804. DOI: 10.1002/bip.360340611
[B319]
J.H.White, N.R.Cozzarelli, W.R.Bauer. Helical repeat and linking number of surface-wrapped DNA.
Science 241, 15 Juli 1988, 323-327.
[B320]
A.Malhorta, H.A.Gabb, S.C.Harvey. Modeling large nucleic acids.
Current Opinion in Structural Biology 3 (1993) 241-246.
[B321]
T.Schlick, W.K.Olson. Trefoil knotting revealed by molecular dynamics simulations of supercoiled DNA.
Science 257, No. 5073, Aug. 21 (1992), 1110-1115.
[B322]
W.R.Bauer, R.A.Lund, J.H.White. Twist and writhe of a DNA loop containing intrinsic bends.
Proc. Natl. Acad. Sci. USA, No. 3, Feb. 1 90 (1993) 833-837.
[B323]
J.E.Hearst, L.Kauffman, W.M.McClain. A simple mechanism for the avoidance
of entanglement during chromosome replication.
Trends in Genetics 14, No. 6 (1998) 244-247. DOI: 10.1016/S0168-9525(98)01481-4
[B324]
I.Tobias, B.D.Coleman, M.Lembo. A class of exact dynamical solutions in the elastic rod model of DNA with implications for the theory of fluctuations in the torsional motion of plasmids.
J. Chem. Phys. 105 (6) (1996) 2517-2526. DOI: 10.1063/1.472040
[B325]
T.P.Westcott, I.Tobias, W.K.Olson. Modeling self-contact forces in the elastic theory of DNA supercoiling.
J. Chem. Phys. 107 (10) (1997) 3967-3980. DOI: 10.1063/1.474752
[B326]
J.F.Marko, E.D.Siggia. Fluctuations and supercoiling of DNA
Science 265, No. 5171, Jul. 22 (1994) 506-508.
[B327]
R.E.Dickerson et al. Definitions and nomenclature of nucleic acid structure parameters
The EMBO Journal 8, No. 1 (1989) 1-4.
[B328]
Xiang-Jun Lu, M.S.Babcock, W.K.Olson. Overview of nucleic acid analysis programs.
J. of Biomolecular Structure & Dynamics 16, No. 4 (1999) 833-843.
[B329]
De Witt Sumners. Untangling DNA.
The Mathematical Intelligencer 12, No. 3 (1990) 71-80.
[B330]
D.Swigon, B.D.Coleman, I.Tobias. The elastic rod model for DNA and its application to the tertiary
structure of DNA minicircles in mononucleosomes.
Biophysical J. 74, No. 5, May (1998) 2515-2530.
[B331]
D.A. Beard, T.Schlick. Inertial stochastic dynamics. I. Long-time-step methods for Langevin dynamics.
J. Chem. Phys. 112 (17) (2000) 7313-7322. DOI: 10.1063/1.481331
[B332]
D.A. Beard, T.Schlick. Inertial stochastic dynamics. II. Influence of inertia on slow kinetic processes of supercoiled DNA.
J. Chem. Phys. 112 (17) (2000) 7323-7338. DOI: 10.1063/1.481371
[B333]
J.F.Marko. Supercoiled and braided DNA under tension.
Phys. Rev. E 55, No. 2 (1997) 1758-1772. DOI: 10.1103/PhysRevE.55.1758
[B334]
A.Stasiak, J.H.Maddocks. Best packing in proteins and DNA.
Nature 406, 20 July (2000) 251-253.
[B335]
A.Maritan, C.Micheletti, A.Trovato, J.R.Banavar. Optimal shapes of compact strings.
Nature 406, 20 July (2000) 287-290.
[B336]
J.H.White, W.R.Bauer. Calculation of the twist and the writhe for representative models of DNA.
J. Mol. Biol. 189 (1986) 329-341.
[B337]
J.D.Moroz, P.Nelson. Torsional directed walks, entropic elasticity, and DNA twist stiffness.
Proc. Natl. Acad. Sci. USA 94, No. 26, Dec. 23 (1997) 14418-14422.
[B338]
J.F.Marko, E.D.Siggia. Statistical mechanics of supercoiled DNA.
Phys. Rev. E 52, No. 3 (1995) 2912-2938. DOI: 10.1103/PhysRevE.52.2912
[B339]
C.S.O'Hern, R.D.Kamien, T.C.Lubensky, P.Nelson. Elasticity theory of a twisted stack of plates.
The European Physical Journal B 1 (1998) 95-102. DOI: 10.1007/s100510050156
[B340]
Haijun Zhou, Yang Zhang, Zhong-can Ou-Yang. Elastic property of single
double-stranded DNA molecules: Theoretical study and comparison with experiments.
Phys. Rev. E 62, No. 1 (2000) 1045-1058. DOI: 10.1103/PhysRevE.62.1045
[B341]
K.A.Hoffman, R.S.Manning, J.H.Maddocks. Biological interpretations of bifurcation diagrams.
Preprint (2003) 21 p.
[B342]
O.Gonzalez, J.H.Maddocks. Extracting parameters for base-pair level models of DNA
from molecular dynamics simulations.
submitted 6 July 2000 to Theoretical Chemistry, 7 p.
[B343]
B.Fain, J.Rudnick. Conformations of linear DNA.
Phys. Rev. E 55, No. 6 (1997) 7364-7368. DOI: 10.1103/PhysRevE.55.7364
[B344]
A.V.Vologodskii, N.R.Cozzarelli.
Conformational and thermodynamic properties of supercoiled DNA.
Annual Review of Biophysics and Biomolecular Structure 23, Jun. (1994) 609-643. DOI: 10.1146/annurev.bb.23.060194.003141
[B345]
C.Bustamante, J.F.Marko, E.D.Siggia, S.B.Smith. Entropic elasticity of lambda-phage DNA.
Science 265 (1994) 1599-1601.
[B346]
Yu.S.Velichko, K.Yoshikawa, A.R.Khokhlov. Effect of twisting on the behavior of a double-stranded polymer chain:
A Monte Carlo simulation.
J. Chem. Phys. 111, No. 20 (1999) 9424-9433. DOI: 10.1063/1.480035
[B347]
M.Barbi, S.Cocco, M.Peyrard. Helicoidal model for DNA opening.
Physics Letters A 253, Issues 5-6, Mar. 29 (1999) 358-369. DOI: 10.1016/S0375-9601(99)00059-6
[B348]
M.E.Burkard, R.Kierzek, D.H.Turner. Thermodynamics of unpaired terminal
nucleotides on short RNA helixes correlates with stacking at helix termini in larger RNAs.
J. Mol. Biol. 290 (1999) 967-982. DOI: 10.1006/jmbi.1999.2906
[B349]
O.F.Borisova, Yu.B.Golova, B.P.Gottikh, A.S.Zibrov, I.A.Il'icheva, Yu.P.Lysov, O.K.Mamayeva,
B.K.Chernov, A.A.Chernyi, A.K.Shchyolkina, V.L.Florentiev. Parallel double stranded helices
and the tertiary structure of nucleic acids.
J. of Biomolecular Structure and Dynamics 8, No. 6 (1991) 1187-1210.
[B350]
P.Schuster, W.Fontana. Chance and necessity in evolution: lessons from RNA.
Physica D 133, Issues 1-4, 10 Sep. (1999) 427-452. DOI: 10.1016/S0167-2789(99)00076-7
[B351]
M.R.Giese, K.Betschart, T.Dale, C.K.Riley, C.Rowan, K.J.Sprouse, M.J.Serra. Stability of RNA hairpins closed by wobble base pairs.
Biochemistry 37 (1998) 1094-1100. DOI: 10.1021/bi972050v
[B352]
M.J.Serra, T.J.Axenson, D.H.Turner. A model for the stabilities of RNA hairpins based on a study of the
sequence dependence of stability for hairpins of six nucleotides.
Biochemistry 33 (1994) 14289-14296.
[B353]
A.A.Mironov, V.P.Lebedev. A kinetic model of RNA folding.
BioSystems 30, Issues 1-3, (1993) 49-56. DOI: 10.1016/0303-2647(93)90061-G
[B354]
M.Wu, I.Tinoco, Jr. RNA folding causes secondary structure rearrangement.
Proc. Natl. Acad. Sci. USA 95, No. 20, Sep. 29 (1998) 11555-11560.
[B355]
V.L.Golo, E.I.Kats. Model of the splitting of DNA molecules.
JETP Lett. 62, No. 7, 10 Oct. (1995) 627-632 [Russ.: Pis'ma Zh. Eksp. Teor. Fiz. 62, No. 7, 10 Oct. (1995) 604-609].
[B356]
A.Goriely, M.Tabor. Spontaneous helix hand reversal and tendril perversion in climbing plants.
Phys. Rev. Lett. 80, No. 7, 16 Feb. (1998) 1564-1567. DOI: 10.1103/PhysRevLett.80.1564
[B357]
M.V.Sataric´. The influence of endogenous AC fields on the breather dynamics in DNA.
Physica D 126 (1999) 60-68.
[B358]
I.Tobias, D.Swigon, B.D.Coleman. Elastic stability of DNA configurations. I. General theory.
Phys. Rev. E 61, No. 1, Jan. (2000) 747-758. DOI: 10.1103/PhysRevE.61.747
[B359]
B.D.Coleman, D.Swigon, I.Tobias. Elastic stability of DNA configurations. II. Supercoiled plasmids with self-contact.
Phys. Rev. E 61, No. 1, Jan. (2000) 759-770. DOI: 10.1103/PhysRevE.61.759
[B360]
K.N.Kreuzer, N.R.Cozzarelli. Formation and resolution of DNA catenanes by DNA gyrase.
Cell 20, Issue 1, May (1980) 245-254. DOI: 10.1016/0092-8674(80)90252-4
[B361]
V.Katritch, W.K.Olson, P.Pieranski, J.Dubochet, A.Stasiak. Properties of ideal composite knots.
Nature 388, 10 July (1997) 148-151.
[B362]
V.Katritch, J.Bednar, D.Michoud, R.G.Scharein, J.Dubochet, A.Stasiak. Geometry and physics of knots.
Nature 384, 14 Nov. (1996) 142-145. DOI: 10.1038/384142a0
[B363]
B.Fain, J.Rudnick. Conformations of closed DNA.
Phys. Rev. E 60, No. 6 (1999) 7239-7252. DOI: 10.1103/PhysRevE.60.7239
[B364]
B.D.Coleman, D.Swigon. Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids.
Journal of Elasticity 60(3) (2000) 173-221. DOI: 10.1023/A:1010911113919
[B365]
E.Clementi.
In: Structure and Dynamics: Nucleic Acids and Proteins/Eds E.Clementi,R.H.Sarma; New York: Adenine Press (1983) P. 321.
[B366]
R.H.Sarma, E.Clementi (Eds.). Structure and Dynamics: Nucleic Acids and Proteins
Adenine Press, Guilderland, New York, (1983).[This book is based on the proceedings of a meeting held at the University of California, San Diego at La Jolla, 5-9 September, 1982.]
[B367]
J.M.Benevides, M.Tsuboi, A.H.-J.Wang, G.J.Thomas, Jr.
Local Raman tensors of double-helical DNA in the crystal: a basis for determining DNA residue orientations.
Journal of the American Chemical Society 115, No. 13, June 30 (1993) 5351-5359.
[B368]
B.Laurie, V.Katritch, J.Sogo, T.Koller, J.Dubochet, A.Stasiak. Geometry and physics of catenanes
applied to the study of DNA replication.
Biophysical J. 74, June (1998) 2815-2822.
[B369]
T.Schlick, D.A.Beard, J.Huang, D.A.Strahs, X.Qian.
Computational challenges in simulating large DNA over long times.
Computing in Science & Engineering 2, Issue 6, November (2000) 38-51.
[B370]
I.Klapper. Biological applications of the dynamics of twisted elastic rods.
Journal of Computational Physics 125, No. 2, May (1996) 325-337. DOI: 10.1006/jcph.1996.0097
[B371]
K.Kruse, F.Jülicher. Actively contracting bundles of polar filaments.
Physical Review Letters 85, No. 8, Aug. 21 (2000) 1778-1781. DOI: 10.1103/PhysRevLett.85.1778
[B372]
C.Bustamante, S.B.Smith, J.Liphardt, D.Smith. Single-molecule studies of DNA mechanics.
Current Opinion in Structural Biology 10 (2000) 279-285.
[B373]
J.F.Marko, E.D.Siggia. Stretching DNA.
Macromolecules 28, No. 26, Dec. 18 (1995) 8759-8770.
[B374]
C.Weber. Questions de topologie en biologie moléculaire.
Gazette des mathématiciens 64 (1995) 29-41.
[B375]
D.M.Stump, P.J.Watson, W.B.Fraser. Mathematical modelling of interwound DNA supercoils.
Journal of Biomechanics 33, Issue 4, April (2000) 407-413. DOI: 10.1016/S0021-9290(99)00190-6
[B376]
J.M.T.Thompson, G.H.M. van der Heijden, S.Neukirch. Supercoiling of DNA plasmids: mechanics of the generalized ply.
Proc. R. Soc. Lond. A 458, No. 2020 (2002) 959-985. DOI: 10.1098/rspa.2001.0901
[B377]
A.A.Kornyshev, S.Leikin. Electrostatic zipper motif for DNA aggregation.
Physical Review Letters 82, No. 20, May 17 (1999) 4138-4141. DOI: 10.1103/PhysRevLett.82.4138
[B378]
W.M.Gelbart, R.F.Bruinsma, P.A.Pincus, V.A.Parsegian. DNA-inspired electrostatics.
Physics Today 53, No. 9, September (2000) 38-44.
[B379]
S.C.Harrison. Packaging of DNA into bacteriophage heads: A model.
J. Mol. Biol. 171, Issue 4, (1983) 577-580.
[B380]
M.E.Cerritelli, N.Cheng, A.H.Rosenberg, C.E.McPherson, F.P.Booy, A.C.Steven. Encapsidated conformation of bacteriophage T7 DNA.
Cell 91, Issue 2, October 17 (1997) 271-280. DOI: 10.1016/S0092-8674(00)80409-2
[B381]
K.Klenin, J.Langowski. Computation of writhe in modeling of supercoiled DNA.
Biopolymers 54, Issue 5, (2000) 307-317. DOI: 10.1002/1097-0282(20001015)54:5<307::AID-BIP20>3.0.CO;2-Y
[B382]
J.Widom, R.L.Baldwin. Tests of spool models for DNA packaging in phage lambda.
J. Mol. Biol. 171, Issue 4, (1983) 419-437.
[B383]
A.A.Kornyshev, S.Leikin, S.V.Malinin. Chiral electrostatic interaction and cholesteric liquid crystals of DNA.
The European Physical Journal E 7, No. 1, (2002) 83-93.
DOI: 10.1140/epje/i200101159
[B384]
U.Bockelmann, B.Essevaz-Roulet, F.Heslot. DNA strand separation studied by single molecule force measurements.
Phys. Rev. E 58, No. 2, (1998) 2386-2394. DOI: 10.1103/PhysRevE.58.2386
[B385]
A.Kornberg, T.A.Baker. DNA Replication.
W.H.Freeman and Co, New York, 2nd edn. (1992).
[B386]
E.Orlandini, S.M.Bhattacharjee, D.Marenduzzo, A.Maritan, F.Seno. Mechanical denaturation of DNA:
existence of a low-temperature denaturation.
J. Phys. A: Math. Gen. 34, No. 50, Dec. 21 (2001) L751-L758. DOI: 10.1088/0305-4470/34/50/104
[B387]
E.L.Starostin. Three-dimensional conformations of looped DNA in an elastomechanical approximation.
In: Chien Wei-zang (ed.), Proceedings of the 2nd International Conference on Nonlinear Mechanics,
Peking University Press, Beijing (1993) 188-190.
[B388]
E.L.Starostin. Three-dimensional shapes of looped DNA.
Meccanica 31 (1996) 235-271.
[B389]
S.H.Leuba, J.Zlatanova, M.A.Karymov, R.Bash, Y.-Z.Liu, D.Lohr, R.E.Harrington, S.M.Lindsay.
The mechanical properties of single chromatin fibers under tension.
Single Molecules 1, No. 2 (2000) 185-192. DOI: 10.1002/1438-5171(200006)1:2<185::AID-SIMO185>3.0.CO;2-8
[B390]
C.H.Wiggins. Biopolymer mechanics: stability, dynamics, and statistics.
Mathematical Methods in the Applied Sciences 24, No. 17-18 (2001) 1325-1335. DOI: 10.1002/mma.182
[B391]
J.F.Sadoc, N.Rivier. Boerdijk-Coxeter helix and biological helices.
The European Physical Journal B 12, No. 2 (1999) 309-318.
DOI: 10.1007/s100510051009
[B392]
A.C.Maggs. Writhing geometry at finite temperature: Random walks and geometric phases for stiff polymers.
J. Chem. Phys. 114 (13) (2001) 5888-5896. DOI: 10.1063/1.1353545
[B393]
T.B.Liverpool, A.C.Maggs. Dynamic scattering from semiflexible polymers.
Macromolecules 34, No. 17, (2001) 6064-6073. DOI: 10.1021/ma001468p
[B394]
V.Rossetto, A.C.Maggs. Comment on "Elasticity Model of a Supercoiled DNA Molecule".
Phys. Rev. Lett. 88(8) (2002) 089801. DOI: 10.1103/PhysRevLett.88.089801
[B395]
C.Bouchiat, M.Mézard. Reply: Bouchiat and Mézard.
Phys. Rev. Lett. 88 (8) (2002) 089802. DOI: 10.1103/PhysRevLett.88.089802
[B396]
A.V.Vologodskii, J.F.Marko. Extension of torsionally stressed DNA by external force.
Biophysical Journal 73, No. 1, (1997) 123-32.
[B397]
H.Schiessel, W.M.Gelbart, R.Bruinsma. DNA folding: structural and mechanical properties of the two-angle model for chromatin.
Biophysical Journal 80, No. 4, (2001) 1940-1956.
[B398]
K.Biegeleisen. Topologically non-linked circular duplex DNA.
Bulletin of Mathematical Biology 64, issue 3, May (2002) 589-609. DOI: 10.1006/bulm.2002.0288; PII: S0092-8240(02)90288-0
[B399]
V.Katritch, J.Bednar, D.Michoud, R.G.Scharein, J.Dubochet, A.Stasiak. Electrophoretic mobility of DNA knots.
Nature 384, Nov. 14 (1996) 122. DOI: 10.1038/384122a0
[B400]
M.Müller, F.Krzakala, M.Mézard. The secondary structure of RNA under tension.
The European Physical Journal E 9, No. 1, (2002) 67-77. DOI: 10.1140/epje/i2002-10057-5
[B401]
M.Baiesi, E.Orlandini, A.L.Stella. Topological and geometrical entanglement in a model of circular DNA undergoing denaturation.
The European Physical Journal B28 (2002) 467-473. DOI: 10.1140/epjb/e2002-00249-y
[B402]
S.Kutter, E.M.Terentjev. Helix coil mixing in twist-storing polymers.
The European Physical Journal B21, No. 3, (2001) 455-462.
[B403]
C.Mao, W.Sun, N.C.Seeman. Assembly of Borromean rings from DNA.
Nature 386 13 March (1997) 137-138. DOI: 10.1038/386137b0
[B404]
I.Derenyi, F.Juelicher, J.Prost. Formation and interaction of membrane tubes.
Physical Review Letters 88, No. 23 (2002) 238101-1-238101-4.
[B405]
R.A.Mehta, J.D.Kahn. Designed hyperstable Lac repressor*DNA loop topologies suggest alternative loop geometries.
J. Mol. Biol. 294, No. 1 (1999) 67-77. DOI: 10.1006/jmbi.1999.3244
[B406]
J.D.Kahn. Topological effects of the TATA box binding protein on minicircle DNA and a possible thermodynamic linkage to chromatin
remodeling.
Biochemistry 39, No. 13 (2000) 3520-3524.
[B407]
J.D.Kahn. DNA topology: Applications to gene expression.
Current Organic Chemistry 6 (2002) 815-826.
[B408]
M.A.El Hassan, C.R.Calladine. Conformational characteristics of DNA: empirical classifications and a hypothesis for the conformational
behaviour of dinucleotide steps.
Philosophical Transactions: Mathematical, Physical & Engineering Sciences 355, No. 1722 (1997) 43-100. DOI: 10.1098/rsta.1997.0002
[B409]
J.H.White, R.A.Lund, W.R.Bauer. Effect of salt-dependent stiffness on the conformation of a stressed DNA loop containing initially coplanar bends.
Biopolymers 49, Issue 7, (1999) 605-619. DOI: 10.1002/(SICI)1097-0282(199906)49:7<605::AID-BIP6>3.0.CO;2-H
[B410]
A.Balaeff, L.Mahadevan, K.Schulten. Elastic rod model of a DNA loop in the lac operon.
Phys. Rev. Lett. 83, Issue 23, 6 December (1999) 4900-4903.DOI: 10.1103/PhysRevLett.83.4900
[B411]
D.Garrivier, B.Fourcade. Twisting DNA with variable intrinsic curvature.
Europhys. Lett. 49 (3) (2000) 390-395. DOI: 10.1209/epl/i2000-00161-8
[B412]
T.R.Strick, J.-F.Allemand, D.Bensimon, A.Bensimon, V.Croquette. The elasticity of a single supercoiled DNA molecule.
Science 271, 29 March (1996) 1835-1837.
[B413]
T.R.Strick, V.Croquette, D.Bensimon. Homologous pairing in stretched supercoiled DNA.
Proc. Natl. Acad. Sci. USA 95, No. 18, Sep. 1 (1998) 10579-10583.
[B414]
A.Dobay, J.Dubochet, K.Millett, P.-E.Sottas, A.Stasiak. Scaling behavior of random knots.
Proc. Natl. Acad. Sci. USA 100, No. 10, May 13 (2003) 5611-5615. DOI: 10.1073/pnas.0330884100
[B415]
P.Nelson. New measurements of DNA twist elasticity.
arXiv: cond-mat/9708107 (1997) 8 p.
[B416]
S.B.Smith, L.Finzi, C.Bustamante. Direct mechanical measurements of the elasticity of single DNA molecules
by using magnetic beads.
Science 258, 13 Nov (1992) 1122-1126.
[B417]
W.K.Olson, V.B.Zhurkin. Modeling DNA deformations.
Current Opinion in Structural Biology
10, Issue 3, 1 June (2000) 286-297. DOI: 10.1016/0959-440X(95)80083-2
[B418]
G.Bao. Mechanics of biomolecules.
Journal of the Mechanics and Physics of Solids 50, Issue 11, November (2002) 2237-2274. DOI: 10.1016/S0022-5096(02)00035-2
[B419]
V.G.Levitskii. The fine structure of the bending stiffness energy profile of nucleosomal DNA.
Doklady Biochemistry ISSN 0012-4958
[Russ.: Doklady Akademii Nauk, Biochemistry, Biophysics, and Molecular Biology.] 364, No. 2 (1999) 255-259].
[B420]
K.M.Koshlap, R.Guenther, E.Sochacka, A.Malkiewicz, P.F.Agris. A distinctive RNA fold:
The solution structure of an analogue of the yeast tRNAPhe TC domain.
Biochemistry 38, No. 27 (1999) 8647-8656. DOI: 10.1021/bi990118w
[B421]
Z.Bryant, M.D.Stone, J.Gore, S.B.Smith, N.R.Cozzarelli, C.Bustamante.
Structural transitions and elasticity from torque measurements on DNA.
Nature 424, 17 July (2003) 338-341. DOI: 10.1038/nature01810
[B422]
C.Bustamante, Z.Bryant, S.B.Smith. Ten years of tension: single-molecule DNA mechanics.
Nature 421, 23 January (2003) 423-427. DOI: 10.1038/nature01405
[B423]
E.Winfree, F.Liu, L.A.Wenzler, N.C.Seeman. Design and self-assembly of two-dimensional DNA crystals.
Nature 394 (1998) 539-544. DOI: 10.1038/28998
[B424]
N.C.Seeman. DNA in a material world.
Nature 421, 23 January (2003) 427-431. DOI: 10.1038/nature01406
[B425]
B.Alberts. DNA replication and recombination.
Nature 421, 23 January (2003) 431-435. DOI: 10.1038/nature01407
[B426]
J.D.Watson, F.H.C.Crick. Molecular structure of nucleic acids.
Nature 421, 23 January (2003) 397-398. DOI: 10.1038/171737a
[B427]
M.H.F.Wilkins, A.R.Stokes, H.R.Wilson. Molecular structure of deoxypentose nucleic acids.
Nature 421, 23 January (2003) 398-400. DOI: 10.1038/171738a
[B428]
R.E.Franklin, R.G.Gosling. Molecular configuration in sodium thymonucleate.
Nature 421, 23 January (2003) 400-401. DOI: 10.1038/171740a
[B429]
J.Kindt, S.Tzlil, A.Ben-Shaul, W.M.Gelbart. DNA packaging and ejection forces in bacteriophage.
Proc. Natl. Acad. Sci. USA 98, No. 24 (2001) 13671-13674. DOI: 10.1073/pnas.241486298
[B430]
Y.Tao, N.H.Olson, W.Xu, D.L.Anderson, M.G.Rossmann, T.S.Baker. Assembly of a tailed bacterial virus and its genome release studied in three dimensions.
Cell 95, Issue 3, Oct. 30 (1998) 431-437. DOI: doi:10.1016/S0092-8674(00)81773-0
[B431]
J.M.Valpuesta, J.J.Fernández, J.M.Carazo, J.L.Carrascosa. The three-dimensional structure of a DNA translocating machine at 10 Å resolution.
Structure 7, No. 3, Mar. 15 (1999) 289-296. DOI: 10.1016/S0969-2126(99)80039-2
[B432]
S.Grimes, D.Anderson. The bacteriophage $\phi 29$ packaging proteins supercoil the DNA ends.
Journal of Molecular Biology 266, Issue 5, 14 March (1997) 901-914. DOI: 10.1006/jmbi.1996.0843
[B433]
J.Arsuaga, R.K.-Z. Tan, M.Vazquez, De Witt Sumners, S.C.Harvey. Investigation of viral DNA packaging using molecular mechanics models.
Biophysical Chemistry 101-102, 10 Dec. (2002) 475-484. DOI: 10.1016/S0301-4622(02)00197-7
[B434]
P.K.Purohit, J.Kondev, R.Phillips. Mechanics of DNA packaging in viruses.
Proc. Natl. Acad. Sci. USA 100, no. 6 (2003) 3173-3178. DOI: 10.1073/pnas.0737893100
[B435]
D.E.Smith, S.J.Tans, S.B.Smith, S.Grimes, D.L.Anderson, C.Bustamante. The bacteriophage \Phi 29 portal motor can package DNA against a large internal force.
Nature 413, 18 October (2001) 748-752. DOI: 10.1038/35099581
[B436]
N.H.Olson, M.Gingery, F.A.Eiserling, T.S.Baker. The structure of isometric capsids of bacteriophage T4.
Virology 279, Issue 2 (2001) 385-391. DOI: 10.1006/viro.2000.0735
[B437]
H.M.Harreis, A.A.Kornyshev, C.N.Likos, H.Loewen, G.Sutmann. Phase behavior of columnar DNA assemblies.
Phys. Rev. Lett. 89, No. 1, 1 July (2002) 018303-1-4. DOI: 10.1103/PhysRevLett.89.018303
[B438]
A.A.Kornyshev, S.Leikin. Electrostatic interaction between long, rigid helical macromolecules at all interaxial angles.
Phys. Rev. E 62, No. 2 (2000) 2576-2596. DOI: 10.1103/PhysRevE.62.2576
[B439]
T.C.Boles, J.H.White, N.R.Cozzarelli. Structure of plectonemically supercoiled DNA.
J. Mol. Biol. 213, (1990) 931-951.
[B440]
N.R.Cozzarelli, T.C.Boles, J.H.White. Primer on the topology and geometry of DNA supercoiling.
In: DNA Topology and Its Biological Effects, ed. by N.R.Cozzarelli, J.C.Wang;
Cold Spring Harbor Laboratory Press. Monograph Series, no.20,
(1990) 139-184. Chem QP 624.D175 1990
[B441]
T.Odijk, J.Ubbink. Dimensions of a plectonemic DNA supercoil under fairly general perturbations.
Physica A: Statistical and Theoretical Physics 252, Issues 1-2, 1 April (1998) 61-66. DOI: 10.1016/S0378-4371(97)00588-8
[B442]
J.Ubbink, T.Odijk. Electrostatic-undulatory theory of plectonemically supercoiled DNA.
Biophysical J. 76, May (1999) 2502-2519.
[B443]
A.A.Kornyshev, S.Leikin. Sequence recognition in the pairing of DNA duplexes.
Physical Review Letters 86, No. 16, April 16 (2001) 3666-3669. DOI: 10.1103/PhysRevLett.86.3666
[B444]
A.A.Kornyshev, S.Leikin. Symmetry laws for interaction between helical macromolecules.
Biophysical J. 75, No. 5, Nov. (1998) 2513-2519.
[B445]
R.Golestanian, T.B.Liverpool. Statistical mechanics of semiflexible ribbon polymers.
Physical Review E 62, No. 4, Oct. (2000) 5488-5499. DOI: 10.1103/PhysRevE.62.5488
[B446]
G.Wedemann, J.Langowski. Computer simulation of the 30-nanometer chromatin fiber.
Biophysical J. 82, June (2002) 2847-2859.
[B447]
H.Qian, J.White. Terminal twist induced continuous writhe of a circular rod with intrinsic curvature.
J. of Biomolecular Structures & Dynamics 16, No. 3 (1998) 663-669.
[B448]
V.L.Golo, E.I.Kats, Yu.M.Yevdokimov. A model for double-stranded excitations of DNA.
arXiv: cond-mat/9911036 (1999) 9 p.
[B449]
S.Cocco, R.Monasson. Statistical mechanics of torque induced denaturation of DNA.
Phys. Rev. Lett. 83, No. 24 (1999) 5178-5181. DOI: 10.1103/PhysRevLett.83.5178
[B450]
R.C.Penner, M.S.Waterman. Spaces of RNA secondary structures.
Advances in Mathematics 101, Issue 1, September (1993) 31-49. DOI: 10.1006/aima.1993.1039
[B451]
K.M.Kosikov, A.A.Gorin, V.B.Zhurkin, W.K.Olson. DNA stretching and compression: large-scale simulations of double helical structures.
J. Mol. Biol. 289 (1999) 1301-1326. DOI: 10.1006/jmbi.1999.2798
[B452]
A.Prunell. A topological approach to nucleosome structure and dynamics: The linking number paradox and other issues.
Biophysical J. 74, May (1998) 2531-2544.
[B453]
C.Anselmi, P.De Santis, R.Paparcone, M.Savino, A.Scipioni. From the sequence to the superstructural properties of DNAs.
Biophysical Chemistry 95, Issue 1, 23 January (2002) 23-47. DOI: 10.1016/S0301-4622(01)00246-0
[B454]
R.Zandi, J.Rudnick. Constraints, histones, and the 30-nm spiral.
Phys. Rev. E 64 (2001) 051918-1-13. DOI: 10.1103/PhysRevE.64.051918
[B455]
G.S.Manning. Elastic line deformed on a surface by an external field:
Intrinsic formulation and preliminary application to nucleosome energetics.
Phys. Rev. A 38, no. 6, Sep 15 (1988) 3073-3081. DOI: 10.1103/PhysRevA.38.3073
[B456]
C.W.Wolgemuth, R.E.Goldstein, T.R.Powers. Dynamic supercoiling bifurcations of growing elastic filaments.
Physica D 190, Issues 3-4, 1 April (2004) 266-289. DOI: 10.1016/j.physd.2003.10.007
[B457]
C.Micheletti, J.R.Banavar, A.Maritan, F.Seno. Protein structures and optimal folding from a geometrical variational principle.
Phys. Rev. Lett. 82 (1999) 3372-3375. DOI: 10.1103/PhysRevLett.82.3372
[B458]
G.S.Manning. Radius of the elastic rod model of a polyelectrolyte.
Biopolymers 26 (1), Jan. (1987) 1-3. DOI:
[B459]
G.S.Manning. The trajectory of a stiff rod in a curved potential energy trough. An initial result for
short nucleosomal rods.
Cell Biophys. 7(3), Sep. (1985) 177-184.
[B460]
G.S.Manning. Packaged DNA. An elastic model.
Cell Biophys. 7(1), Mar. (1985) 57-89.
[B461]
G.S.Manning. Erratum: Packaged DNA. An elastic model.
Cell Biophys. 8(1), Feb. (1986) 86.
[B462]
G.S.Manning. Is a small number of charge neutralizations sufficient to bend nucleosome core DNA onto its superhelical ramp?
Journal of the American Chemical Society 125, No. 49, Dec 10 (2003) 15087-15092. DOI: 10.1021/ja030320t
[B463]
G.S.Manning. Electrostatic free energy of the DNA double helix in counterion condensation theory.
Biophys Chem. 101-102, Dec 10 (2002) 461-473.
[B464]
G.S.Manning. Self-attraction and natural curvature in null DNA.
J. Biomol. Struct. Dyn. 7(1) Aug (1989) 41-61.
[B465]
C.W.Wolgemuth, O.Igoshin, G.Oster. The motility of mollicutes.
Biophys. J. 85, Aug (2003) 828-842.
[B466]
J.C.LaMarque, T.L.Le, S.C.Harvey. Packaging double-helical DNA into viral capsids.
Biopolymers 73, Issue 3, (2004) 348-355. DOI: 10.1002/bip.10529
[B467]
J.R.Banavar, A.Maritan. Colloquium: Geometrical approach to protein folding: a tube picture.
Reviews of Modern Physics 75, No. 1, Jan. (2003) 23-34. DOI: 10.1103/RevModPhys.75.23
[B468]
P.M.L.Tammes. On the origin of number and arrangements of the places of exit on the surface of pollen-grains.
Recueil des Travaux Botaniques N\'eerlandais 27 (1930) 1-84.
[B469]
J.Bednar, P.Furrer, A.Stasiak, J.Dubochet, E.H.Egelman, A.D.Bates. The twist, writhe and overall shape of supercoiled DNA change during
counterion-induced transition from a loosely to a tightly interwound superhelix. Possible implications for DNA structure in vivo.
J. Mol. Biol. 235 (1994) 825-847. DOI: 10.1006/jmbi.1994.1042
[B470]
T.R.Strick, J.-F.Allemand, D.Bensimon, V.Croquette. Behavior of supercoiled DNA.
Biophysical Journal 74, April (1998) 2016-2028.
[B471]
G.Charvin, D.Bensimon, V.Croquette. Single-molecule study of DNA unlinking by eukaryotic and
prokaryotic type-II topoisomerases.
Proc. Natl. Acad. Sci. USA 100, No. 17, Aug. 19 (2003) 9820-9825. DOI: 10.1073/pnas.1631550100
[B472]
B.Berger, D.B.Wilson, E.Wolf, T.Tonchev, M.Milla, P.S.Kim. Predicting coiled coils by use of pairwise residue correlations.
Proc. Natl. Acad. Sci. USA 92, No. 18, Aug. 29 (1995) 8259-8263.
[B473]
P.Baldi, Y.Chauvin, T.Hunkapiller, M.A.McClure. Hidden Markov models of biological primary sequence information.
Proc. Natl. Acad. Sci. USA 91, No. 3, Feb. 1 (1994) 1059-1063.
[B474]
A.A.Kornyshev, S.Leikin. Electrostatic interaction between helical macromolecules in dense aggregates:
An impetus for DNA poly- and meso-morphism.
Proc. Natl. Acad. Sci. USA 95, No. 23, Nov. 10 (1998) 13579-13584.
[B475]
J.C.G.Montoro, J.L.F.Abascal. The free energy difference between simple models of B- and Z-DNA:
Computer simulation and theoretical predictions.
J. Chem. Phys. 106, Issue 19 (1996) 8239-8253. DOI: 10.1063/1.473827
[B476]
I.Tobias. The writhe distribution in DNA plasmids as derived from the free energy of supercoiling.
J. Chem. Phys. 113, Issue 16 (2000) 6950-6956. DOI: 10.1063/1.1310325
[B477]
Y.Shi, S.He, J.E.Hearst. Statistical mechanics of the extensible and shearable elastic rod and of DNA.
J. Chem. Phys. 105, Issue 2 (1996) 714-731. DOI: 10.1063/1.471927
[B478]
G.S.Manning. Bending fluctuations of an elastic line on a curved surface.
J. Chem. Phys. 96, Issue 5 (1992) 4007-4013. DOI: 10.1063/1.461850
[B479]
V.V.Vasilevskaya, A.R.Khokhlov, Y.Matsuzawa, K.Yoshikawa. Collapse of single DNA molecule in poly(ethylene glycol) solutions.
J. Chem. Phys. 102, Issue 16 (1995) 6595-6602. DOI: 10.1063/1.469375
[B480]
T.T.Nguyen, B.I.Shklovskii. Complexation of DNA with positive spheres: Phase diagram of charge inversion and reentrant condensation.
J. Chem. Phys. 115, Issue 15 (2001) 7298-7308. DOI: 10.1063/1.1402988
[B481]
H.Schiessel, R.F.Bruinsma, W.M.Gelbart. Electrostatic complexation of spheres and chains under elastic stress.
J. Chem. Phys. 115, Issue 15 (2001) 7245-7252. DOI: 10.1063/1.1403688
[B482]
A.A.Kornyshev, S.Leikin. Theory of interaction between helical molecules.
J. Chem. Phys. 107, Issue 9 (1997) 3656-3674. DOI: 10.1063/1.475320
[B483]
A.A.Kornyshev, S.Leikin. Erratum: "Theory of interaction between helical molecules" [J. Chem. Phys. 107, 3656 (1997)].
J. Chem. Phys. 108, Issue 16 (1998) 7035. DOI: 10.1063/1.476117
[B484]
H.Schiessel, J.Rudnick, R.Bruinsma, W.M.Gelbart. Organized condensation of worm-like chains.
Europhysics Letters 51 (2) (2000) 237-243. DOI: 10.1209/epl/i2000-00536-9
[B485]
V.Rossetto, A.C.Maggs. Writhing geometry of open DNA.
J. Chem. Phys. 118, Issue 21 (2003) 9864-9874. DOI: 10.1063/1.1569905
[B486]
Y.Fang, J.H.Hoh. Early intermediates in spermidine-induced DNA condensation on the surface of mica.
Journal of the American Chemical Society 120, No. 35, Sep. 9 (1998) 8903-8909. DOI: 10.1021/ja981332v
[B487]
S.M.Du, B.D.Stollar, N.C.Seeman. A synthetic DNA molecule in three knotted topologies.
Journal of the American Chemical Society 117, No. 4, Feb. 1 (1995) 1194-1200.
[B488]
J.Ubbink, T.Odijk. Deformation of toroidal DNA condensates under surface stress.
Europhys. Lett. 33, No. 5 (1996) 353-358. DOI: 10.1209/epl/i1996-00346-7
[B489]
J.F.Marko. Stretching must twist DNA.
Europhys. Lett. 38, No. 3 (1997) 183-188. DOI: 10.1209/epl/i1997-00223-5
[B490]
R.Everaers, R.Bundschuh, K.Kremer. Fluctuations and stiffness of double-stranded polymers: railway-track model.
Europhys. Lett. 29, No. 3, Jan. 20 (1995) 263-268.
[B491]
H.Schiessel, H.Aranda-Espinoza. Electrostatically induced undulations of lamellar DNA-lipid complexes.
The European Physical Journal E 5, No. 4, (2001) 499-506.
[B492]
J.Ubbink, T.Odijk. Polymer- and salt-induced toroids of hexagonal DNA.
Biophysical J. 68 (1995) 54-61.
[B493]
N.V.Hud, K.H.Downing. Cryoelectron microscopy of lambda phage DNA condensates in vitreous ice: The fine structure of DNA toroids.
Proc. Natl. Acad. Sci. USA 98 (26), Dec. 18 (2001) 14925-14930. DOI: 10.1073/pnas.261560398
[B494]
F.Livolant, A.M.Levelut, J.Doucet, J.P.Benoit. The highly concentrated liquid-crystalline phase of DNA is columnar hexagonal.
Nature 339 (1989) 724-726. DOI: 10.1038/339724a0
[B495]
H.M.Harreis, C.N.Likos, H.Löwen. Azimuthal frustration and bundling in columnar DNA aggregates.
Biophysical Journal 84 (2003) 3607-3623.
[B496]
P.J.Horn, C.L.Peterson. Chromatin higher order folding: Wrapping up transcription.
Science 297, Issue 5588, Sep. 13 (2002) 1824-1827. DOI: 10.1126/science.1074200
[B497]
N.Ban, P.Nissen, J.Hansen, P.B.Moore, T.A.Steitz. The complete atomic structure of the large ribosomal subunit at 2.4 A resolution.
Science 289, Issue 5481, Aug. 11 (2000) 905-920. DOI: 10.1126/science.289.5481.905
[B498]
H.H.Strey, J.Wang, R.Podgornik, A.Rupprecht, L.Yu, V.A.Parsegian, E.B.Sirota. Refusing to twist: Demonstration of a line hexatic phase in DNA liquid crystals.
Phys. Rev. Lett. 84, Issue 14, Apr. 3 (2000) 3105-3108. DOI: 10.1103/PhysRevLett.84.3105
[B499]
S.Y.Park, D.Harries, W.M.Gelbart. Topological defects and the optimum size of DNA condensates.
Biophysical Journal 75 (2), Aug. 1 (1998) 714-720.
[B500]
N.V.Hud, K.H.Downing, R.Balhorn. A constant radius of curvature model for the organization of DNA in toroidal condensates.
Proc. Natl. Acad. Sci. USA 92, No. 8, Apr. 11 (1995) 3581-3585.
[B501]
C.Böttcher, C.Endisch, J.-H.Fuhrhop, C.Catterall, M.Eaton. High-yield preparation of oligomeric C-type DNA toroids and their characterization by cryoelectron microscopy.
Journal of the American Chemical Society 120, No. 1, (1998) 12-17. DOI: 10.1021/ja971047w
[B502]
V.A.Bloomfield. DNA condensation.
Current Opinion in Structural Biology 6, Issue 3 (1996) 334-341. DOI: 10.1016/S0959-440X(96)80052-2
[B503]
M.Schmutz, D.Durand, A.Debin, Y.Palvadeau, A.Etienne, A.R.Thierry.
DNA packing in stable lipid complexes designed for gene transfer imitates DNA compaction in bacteriophage.
Proc. Natl. Acad. Sci. USA 96, No. 22, Oct. 26 (1999) 12293-12298.
[B504]
M.T.Wolfinger, W.A.Svrcek-Seiler, C.Flamm, I.L.Hofacker, P.F.Stadler. Efficient computation of RNA folding dynamics.
J. Phys. A: Math. Gen. 37, No. 17, Apr. 30 (2004) 4731-4741. DOI: 10.1088/0305-4470/37/17/005
[B505]
G.G.Pereira, D.R.M.Williams. Toroidal condensates of semiflexible polymers in poor solvents: adsorption, stretching, and compression.
Biophysical Journal 80 (1), Jan. 1 (2001) 161-168.
[B506]
S.S.Zakharova, W.Jesse, C.Backendorf, S.U.Egelhaaf, A.Lapp, J.R.C. van der Maarel. Dimensions of plectonemically supercoiled DNA.
Biophysical Journal 83 (2), Aug. (2002) 1106-1118.
[B507]
S.S.Zakharova, W.Jesse, C.Backendorf, J.R.C. van der Maarel. Liquid crystal formation in supercoiled DNA solutions.
Biophysical Journal 83 (2), Aug. (2002) 1119-1129.
[B508]
S.Tzlil, J.T.Kindt, W.M.Gelbart, A.Ben-Shaul. Forces and pressures in DNA packaging and release from viral capsids.
Biophysical Journal 84 (3), Mar. (2003) 1616-1627.
[B509]
S.V.Kuznetsov, Y.Shen, A.S.Benight, A.Ansari. A semiflexible polymer model applied to loop formation in DNA hairpins.
Biophysical Journal 81 (5), May (2003) 2864-2875.
[B510]
J.C.Sitko, E.M.Mateescu, H.G.Hansma. Sequence-dependent DNA condensation and the electrostatic zipper.
Biophysical Journal 84 (1), Jan (2003) 419-431.
[B511]
C.C.Conwell, I.D.Vilfan, N.V.Hud. Controlling the size of nanoscale toroidal DNA condensates with static curvature and ionic strength.
Proc. Natl. Acad. Sci. USA 100, No. 16, Aug. 5 (2003) 9296-9301. DOI: 10.1073/pnas.1533135100
[B512]
V.Vijayanathan, T.Thomas, T.Antony, A.Shirahata, T.J.Thomas. Formation of DNA nanoparticles in the presence of novel polyamine analogues: a laser light
scattering and atomic force microscopic study.
Nucleic Acids Res. 32 (1), Jan. 2 (2004) 127-134. DOI: 10.1093/nar/gkg936
[B513]
A.A.Kornyshev, A.Wynveen. Nonlinear effects in the torsional adjustment of interacting DNA.
Physical Review E 69, No. 20, May 17 (2004) 041905-1-14. DOI: 10.1103/PhysRevE.69.041905
[B514]
E.Allahyarov, G.Gompper, H.Löwen. Attraction between DNA molecules mediated by multivalent ions.
Physical Review E 69, No. 20, May 17 (2004) 041904-1-13. DOI: 10.1103/PhysRevE.69.041904
[B515]
H.Yamakawa, M.Fujii. Light scattering from wormlike chains. Determination of the shift factor.
Macromolecules 7, No. 5, Sep. (1974) 649-654.
[B516]
P.Wissenburg, T.Odijk, P.Cirkel, M.Mandel. Multimolecular aggregation of mononucleosomal DNA in concentrated isotropic solutions.
Macromolecules 28, No. 7, Mar. 27 (1995) 2315-2328.
[B517]
P.Wissenburg, T.Odijk, P.Cirkel, M.Mandel. Multimolecular aggregation in concentrated isotropic solutions of mononucleosomal DNA in 1 M sodium chloride.
Macromolecules 27, No. 1, Jan. 1 (1994) 306-308.
[B518]
Z.Lin, C.Wang, X.Feng, M.Liu, J.Li, C.Bai. The observation of the local ordering characteristics of spermidine-condensed DNA:
atomic force microscopy and polarizing microscopy studies.
Nucl. Acids. Res. 26 (1998) 3228-3234.
[B519]
R.Golan, L.I.Pietrasanta, W.Hsieh, H.G.Hansma. DNA toroids: stages in condensation.
Biochemistry 38, No. 42, (1999) 14069-14076. DOI: 10.1021/bi990901o
[B520]
M.D.Stone, Z.Bryant, N.J.Crisona, S.B.Smith, A.Vologodskii, C.Bustamante, N.R.Cozzarelli.
Chirality sensing by Escherichia coli topoisomerase IV and the mechanism of type II topoisomerases.
Proc. Natl. Acad. Sci. USA 100, no. 15, July 22 (2003) 8654-8659. DOI: 10.1073/pnas.1133178100
[B521]
J.B.Schvartzman, A.Stasiak. A topological view of the replicon.
EMBO Reports 5, no. 3 (2004) 256-261. DOI: 10.1038/sj.embor.7400101
[B522]
J.Gsponer, A.Caflisch. Molecular dynamics simulations of protein folding from the transition state.
Proc. Natl. Acad. Sci. USA 99, no. 10, May 14 (2002) 6719-6724. DOI: 10.1073/pnas.092686399
[B523]
P.Ferrara, A.Caflisch. Folding simulations of a three-stranded antiparallel \beta-sheet peptide.
Proc. Natl. Acad. Sci. USA 97, no. 20, Sep. 26 (2000) 10780-10785. DOI: 10.1073/pnas.190324897
[B524]
L.S.Shlyakhtenko, L.Miloseska, V.N.Potaman, R.R.Sinden, Y.L.Lyubchenko. Intersegmental interactions in supercoiled DNA: atomic force microscope study.
Ultramicroscopy 97, Issues 1-4, Oct.-Nov. (2003) 263-270.DOI: 10.1016/S0304-3991(03)00051-2
[B525]
K.A.Hoffman, R.S.Manning, J.H.Maddocks. Link, twist, energy, and the stability of DNA minicircles.
Biopolymers 70, Issue 2, Oct. (2003) 145-157. DOI: 10.1002/bip.10430
[B526]
K.Kassapidou, W.Jesse, J.A.P.P. van Dijk, J.R.C. van der Maarel. Liquid crystal formation in DNA fragment solutions.
Biopolymers 46, Issue 1, July (1998) 31-37. DOI: 10.1002/(SICI)1097-0282(199807)46:1<31::AID-BIP3>3.0.CO;2-Z
[B527]
T.Odijk. Hexagonally packed DNA within bacteriophage T7 stabilized by curvature stress.
Biophys. J. 75, Issue 3, Sep. (1998) 1223-1227.
[B528]
U.Seifert. Modeling nonlinear red cell elasticity.
Biophys. J. 75, Issue 3, Sep. (1998) 1141-1142.
[B529]
M.Barbi, J.Mozziconacci, J.-M.Victor. How the chromatin fiber deals with topological constraints
[How does the chromatin fiber deal with topological constraints?].
Phys. Rev. E 71 (2005) 031910-1-4. DOI: 10.1103/PhysRevE.71.031910
[B530]
L.W.Black, W.W.Newcomb, J.W.Boring, J.C.Brown. Ion etching of bacteriophage T4: Support for a spiral-fold model of packaged DNA.
Proc. Natl. Acad. Sci. USA 82, No. 23, Dec. 1 (1985) 7960-7964.
[B531]
J.Arsuaga, M.Vázquez, S.Trigueros, De Witt Sumners, J.Roca. Knotting probability of DNA molecules confined in restricted volumes: DNA knotting in phage capsids.
Proc. Natl. Acad. Sci. USA 99, No. 8, Apr. 16 (2002) 5373-5377. DOI: 10.1073/pnas.032095099
[B532]
Y.Timsit, D.Moras. Self-fitting and self-modifying properties of the B-DNA molecule.
Journal of Molecular Biology 251, Issue 5, Aug. 1 (1995) 629-647. DOI: 10.1006/jmbi.1995.0461
[B533]
Z.Reich, S.Levin-Zaidman, S.B.Gutman, T.Arad, and A.Minsky. Supercoiling-regulated liquid-crystalline packaging of topologically-constrained,
nucleosome-free DNA molecules.
Biochemistry 33, No. 47, Nov. 29 (1994) 14177-14184.
[B534]
C.Münkel, J.Langowski. Chromosome structure predicted by a polymer model.
Phys. Rev. E 57, Issue 5, May (1998) 5888-5896. DOI: 10.1103/PhysRevE.57.5888
[B535]
E.Ben-Haïm, A.Lesne, J.-M.Victor. Chromatin: A tunable spring at work inside chromosomes.
Phys. Rev. E 64, Issue 5, May (2001) 051921 (19 pp.). DOI: 10.1103/PhysRevE.64.051921
[B536]
A.G.Cherstvy, A.A.Kornyshev, S.Leikin. Torsional deformation of double helix in interaction and aggregation of DNA.
J. Phys. Chem. B 108, Issue 20, (2004) 6508-6518. DOI: 10.1021/jp0380475
[B537]
A.G.Cherstvy, A.A.Kornyshev, S.Leikin. Temperature-dependent DNA condensation triggered by rearrangement of adsorbed cations.
J. Phys. Chem. B 106, Issue 51, (2002) 13362-13369. DOI: 10.1021/jp026343w
[B538]
R.Metzler, P.G.Dommersnes. Helical packaging of semiflexible polymers in bacteriophages.
European Biophysics Journal 33, No. 6, online 26 Feb. (2004) 497-505. DOI: 10.1007/s00249-003-0385-9
[B539]
M.Delorenzi, T.Speed. An HMM model for coiled-coil domains and a comparison with PSSM-based predictions.
Bioinformatics 18, No. 4, Apr. (2002) 617-625. PMID: 12016059
[B540]
R.Podgornik, H.H.Strey, K.Gawrisch, D.C.Rau, A.Rupprecht, V.A.Parsegian.
Bond orientational order, molecular motion, and free energy of high-density DNA mesophases.
Proceedings of the National Academy of Sciences of the United States of America 93, No. 9, Apr. 30 (1996) 4261-4266.
[B541]
M.D.Frank-Kamenetskii. Biophysics of the DNA molecule.
Physics Reports 288, Issues 1-6 (1997) 13-60. DOI: 10.1016/S0370-1573(97)00020-3
[B542]
H.H.Strey, R.Podgornik, D.C.Rau, V.A.Parsegian. DNA-DNA interactions.
Current Opinion in Structural Biology 8, No. 3, Jun. (1998) 309-313. DOI: doi:10.1016/S0959-440X(98)80063-8
[B543]
A.Sain, B.-Y.Ha, H.-K.Tsao, J.Z.Y.Chen. Chain persistency in single-stranded DNA.
Phys. Rev. E 69 (2004) 061913, 4 pp. DOI: 10.1103/PhysRevE.69.061913
[B544]
F.Mohammad-Rafiee, R.Golestanian. Electrostatic contribution to twist rigidity of DNA.
Phys. Rev. E 69 (2004) 061919, 11 pp. DOI: 10.1103/PhysRevE.69.061919
[B545]
K.P.Santo, K.L.Sebastian. A simple model for the kinetics of packaging of DNA into a capsid against an external force.
Phys. Rev. E 65 (2002) 052902 (2 pages). DOI: 10.1103/PhysRevE.65.052902
[B546]
J.Rudnick, R.Bruinsma. Icosahedral packing of RNA viral genomes.
arXiv: cond-mat/0301305 (2003) 4 p.
[B547]
T.Odijk, F.Slok. Nonuniform Donnan equilibrium within bacteriophages packed with DNA.
J. Phys. Chem. B 107, Issue 32, (2003) 8074-8077. DOI: 10.1021/jp0224822
[B548]
K.E.Richards, R.C.Williams, R.Calendar. Mode of DNA packing within bacteriophage heads.
J. Mol. Biol. 78 (1973) 255-259.
[B549]
P.Zhang, I.Tobias, W.K.Olson. Computer simulation of protein-induced structural changes in closed circular DNA.
J. Mol. Biol. 242, Issue 3, Sep. 22 (1994) 271-290. DOI: 10.1006/jmbi.1994.1578
[B550]
P.Zhang, I.Tobias, W.K.Olson. Erratum. Computer simulation of protein-induced structural changes in closed circular DNA.
J. Mol. Biol. 251, Issue 5, Aug. 1 (1995) 721. DOI: 10.1006/jmbi.1995.0467
[B551]
H.Zhou, Y.Zhang, Z.Ou-Yang, S.M.Lindsay, Xi-Z.Feng, P.Balagurumoorthy, R.E.Harrington.
Conformation and rigidity of DNA microcircles containing waf1 response element for p53 regulatory protein.
J. Mol. Biol. 306, Issue 2, Feb. 16 (2001) 227-238. DOI: 10.1006/jmbi.2000.4370
[B552]
P.Ferrara, A.Caflisch. Native topology or specific interactions: what is more important for protein folding?
J. Mol. Biol. 306, Issue 4, Mar. 2 (2001) 837-850. DOI: 10.1006/jmbi.2000.4400
[B553]
J.Walshaw, D.N.Woolfson. SOCKET: A program for identifying and analysing coiled-coil motifs within protein structures.
J. Mol. Biol. 307, Issue 5, Apr. 13 (2001) 1427-1450. DOI: 10.1006/jmbi.2001.4545
[B554]
Z.Reich, E.J.Wachtel, A.Minsky. Liquid-crystalline mesophases of plasmid DNA in bacteria.
Science 264, No. 5164, Jun. 3 (1994) 1460-1463.
[B555]
R.L.Rill, T.E.Strzelecka, M.W.Davidson, D.H. van Winkle. Ordered phases in concentrated DNA solutions.
Physica A 176, Issue 1, Aug. 1 (1991) 87-116. DOI: 10.1016/0378-4371(91)90435-F
[B556]
I.M.Kulic, D.Andrienko, M.Deserno. Twist-bend instability for toroidal DNA condensates.
Europhys. Lett. 67, No. 3, (2004) 418-424. DOI: 10.1209/epl/i2004-10076-x
[B557]
M.J.Stevens. Simple simulations of DNA condensation.
Biophysical Journal 80 (1), Jan. 1 (2001) 130-139.
[B558]
V.A.Bloomfield. DNA condensation by multivalent cations.
Biopolymers 44, Issue 3, (1997) 269-282. DOI: 10.1002/(SICI)1097-0282(1997)44:3<269::AID-BIP6>3.0.CO;2-T
[B559]
Yu.M.Evdokimov, A.L.Platonov, A.S.Tikhonenko, Ya.M.Varshavsky. A compact form of double-stranded DNA in solution.
FEBS Letters 23, No. 2, June 15 (1972) 180-184. DOI: 10.1016/0014-5793(72)80335-1
[B560]
W.C.Earnshaw, J.King, S.C.Harrison, F.A.Eiserling. The structural organization of DNA packaged within the heads of T4 wild-type, isometric and giant bacteriophages.
Cell 14, Jul. (1978) 559-568. DOI: 10.1016/0092-8674(78)90242-8
[B561]
J.Lepault, J.Dubochet, W.Baschong, E.Kellenberger. Organization of double-stranded DNA in bacteriophages: a study by cryo-electron microscopy of vitrified samples.
The EMBO Journal 6, No. 5, (1987) 1507-1512.
[B562]
E.Westhof. Water: An integral part of nucleic acid structure.
Annual Review of Biophysics and Biophysical Chemistry 17, Jun. (1988) 125-144. DOI: 10.1146/annurev.bb.17.060188.001013
[B563]
J.D.Griffith, S.Lee, Y.-H.Wang. Visualizing nucleic acids and their complexes using electron microscopy.
Current Opinion in Structural Biology 7, No. 3, Jun. (1997) 362-366. DOI: 10.1016/S0959-440X(97)80052-8
[B564]
E.T.Mollova, A.Pardi. NMR solution structure determination of RNAs.
Current Opinion in Structural Biology 10, No. 3, Jun. 1 (2000) 298-302. DOI: 10.1016/S0959-440X(00)00087-7
[B565]
M.Zuker. Calculating nucleic acid secondary structure.
Current Opinion in Structural Biology 10, No. 3, Jun. 1 (2000) 303-310. DOI: 10.1016/S0959-440X(00)00088-9
[B566]
C.Bustamante, S.B.Smith, J.Liphardt, D.Smith. Single-molecule studies of DNA mechanics.
Current Opinion in Structural Biology 10, No. 3, Jun. 1 (2000) 279-285. DOI: 10.1016/S0959-440X(00)00085-3
[B567]
M.Zacharias. Simulation of the structure and dynamics of nonhelical RNA motifs.
Current Opinion in Structural Biology 10, No. 3, Jun. 1 (2000) 311-317. DOI: 10.1016/S0959-440X(00)00089-0
[B568]
D.L.Beveridge, K.J.McConnell. Nucleic acids: theory and computer simulation, Y2K.
Current Opinion in Structural Biology 10, No. 2, Apr. 1 (2000) 182-196. DOI: 10.1016/S0959-440X(00)00076-2
[B569]
M. van Heel. Unveiling ribosomal structures: the final phases.
Current Opinion in Structural Biology 10, No. 2, Apr. 1 (2000) 259-264. DOI: 10.1016/S0959-440X(00)00077-4
[B570]
D.Marenduzzo, C.Micheletti. Thermodynamics of DNA packaging inside a viral capsid: The role of DNA intrinsic thickness.
Journal of Molecular Biology 330, No. 3, Jul. 11 (2003) 485-492. DOI: 10.1016/S0022-2836(03)00584-9
[B571]
S.Grimes, P.J.Jardine, D.Anderson. Bacteriophage phi 29 DNA packaging.
Advances In Virus Research 58 (2002) 255-294.
[B572]
Y.Arai, R.Yasuda, K.Akashi, Y.Harada, H.Miyata, K.Kinosita Jr., H.Itoh. Tying a molecular knot with optical tweezers.
Nature 399, Jun. 3 (1999) 446-448. DOI: 10.1038/20894
[B573]
W.S.Klug, M.Ortiz. A director-field model of DNA packaging in viral capsids.
Journal of the Mechanics and Physics of Solids 51, Issue 10, Oct. (2003) 1815-1847. DOI: 10.1016/S0022-5096(03)00071-1
[B574]
T.Odijk. Physics of tightly curved semiflexible polymer chains.
Macromolecules 26, No. 25, Dec. 6 (1993) 6897-6902.
[B575]
R.Podgornik, V.A.Parsegian. Molecular fluctuations in the packing of polymeric liquid crystals.
Macromolecules 23, No. 8, Apr. 16 (1990) 2265-2269.
[B576]
C.A.Croxton. Rod-to-coil and order-disorder transitions in nematic polymers.
Macromolecules 23, No. 8, Apr. 16 (1990) 2270-2275.
[B577]
T.Maniatis, J.H.Venable, L.S.Lerman. The structure of \psi-DNA.
J. Mol. Biol. 84 (1974) 37-64.
[B578]
F.Livolant, A.Leforestier. Chiral discotic columnar germs of nucleosome core particles.
Biophys. J. 78, No. 5, May (2000) 2716-2729.
[B579]
S.Fraden, R.D.Kamien. Self-assembly in vivo.
Biophys. J. 78, No. 5, May (2000) 2189-2190.
[B580]
R.D.Kamien, T.C.Lubensky, P.Nelson and C.S.O'Hern. Direct determination of DNA twist-stretch coupling.
Europhys. Lett. 38, No. 3, (1997) 237-242. DOI: 10.1209/epl/i1997-00231-y
[B581]
S.M.Bhattacharjee. Unzipping DNAs: towards the first step of replication.
J. Phys. A: Math. Gen. 33, No. 45, (2000) L423-L428. DOI: 10.1088/0305-4470/33/45/101
[B582]
S.M.Bhattacharjee. CORRIGENDUM. Unzipping DNAs: towards the first step of replication.
J. Phys. A: Math. Gen. 33, No. 48, (2000) 9003. DOI: 10.1088/0305-4470/33/48/501
[B583]
M.V.Nermut, D.J.Hockley, P.Bron, D.Thomas, W.-H.Zhang, I.M.Jones. Further evidence for hexagonal organization of HIV gag protein in prebudding assemblies and immature virus-like particles.
Journal of Structural Biology 123, Issue 2, Oct. (1998) 143-149. DOI: 10.1006/jsbi.1998.4024
[B584]
D.Drasdo. Buckling instabilities of one-layered growing tissues.
Physical Review Letters 84, Issue 18, May 1 (2000) 4244-4247. DOI: 10.1103/PhysRevLett.84.4244
[B585]
Z.Haijun, Z.Yang, O.-Y.Zhong-can. Bending and base-stacking interactions in double-stranded DNA.
Physical Review Letters 82, Issue 22, May 31 (1999) 4560-4563. DOI: 10.1103/PhysRevLett.82.4560
[B586]
L.Nony, R.Boisgard, J.-P.Aimé. DNA properties investigated by dynamic force microscopy.
Biomacromolecules 2, No. 3, (2001) 827-835. DOI: 10.1021/bm0100209
[B587]
I.Bahar, A.R.Atilgan, M.C.Demirel, B.Erman. Vibrational dynamics of folded proteins: significance of slow and fast motions in relation to function and stability.
Phys. Rev. Lett. 80, Issue 12, Mar. 23 (1998) 2733-2736. DOI: 10.1103/PhysRevLett.80.2733
[B588]
H.Schiessel. The physics of chromatin.
J. Phys.: Condens. Matter 15, Issue 19, May 21 (2003) R699-R774. DOI: 10.1088/0953-8984/15/19/203
[B589]
G.Charvin, J.-F.Allemand, T.R.Strick, D.Bensimon, V.Croquette. Twisting DNA: single molecule studies.
Contemporary Physics 45, No. 5, (2004) 383-403. DOI: 10.1080/00107510410001697279
[B590]
A.Fokine, P.R.Chipman, P.G.Leiman, V.V.Mesyanzhinov, V.B.Rao, M.G.Rossmann.
Molecular architecture of the prolate head of bacteriophage T4.
Proc. Natl. Acad. Sci. USA 101, No. 16, Apr. 20 (2004) 6003-6008. DOI: 10.1073/pnas.0400444101
[B591]
A.Flammini, A.Maritan, A.Stasiak. Simulations of action of DNA topoisomerases to investigate boundaries and shapes of spaces of knots.
Biophys. J. 87, No. 5, Nov. (2004) 2968-2975. DOI: 10.1529/biophysj.104.045864
[B592]
S.Neukirch. Extracting DNA twist rigidity from experimental supercoiling data.
Physical Review Letters 93, No. 19, Nov. 5 (2004) 198107-1-4. DOI: 10.1103/PhysRevLett.93.198107
[B593]
D.Gerlich, J.Beaudouin, B.Kalbfuss, N.Daigle, R.Eils, J.Ellenberg. Global chromosome positions are transmitted through mitosis in mammalian cells.
Cell 112, No. 6, Mar. 21 (2003) 751-764. DOI: doi:10.1016/S0092-8674(03)00189-2
[B594]
B.Mergell, R.Everaers, H.Schiessel. Nucleosome interactions in chromatin: Fiber stiffening and hairpin formation.
Physical Review E 70 (2004) 011915-1-9. DOI: 10.1103/PhysRevE.70.011915
[B595]
U.Gerland, R.Bundschuh, T.Hwa. Translocation of structured polynucleotides through nanopores.
Phys. Biol. 1, Issue 1, Mar. (2004) 19-26. DOI: 10.1088/1478-3967/1/1/002
[B596]
J.T.Finch, A.Klug. Solenoidal model for superstructure in chromatin.
Proc. Natl. Acad. Sci. USA 73, No. 6, Jun. 1 (1976) 1897-1901.
[B597]
K.Kassapidou, J.R.C. van der Maarel. Melting of columnar hexagonal DNA liquid crystals.
The European Physical Journal B - Condensed Matter 3, No. 4, (1998) 471-476. DOI: 10.1007/s100510050337
[B598]
D.Durand, J.Doucet, F.Livolant. A study of the structure of highly concentrated phases of DNA by X-ray diffraction.
J. Phys. II France 2, No. 9, Sep. (1992) 1769-1783. DOI: 10.1051/jp2:1992233
[B599]
A.Ludu, N.Hutchings. Geometry of axoneme-like filament bundles: bending and twisting.
arXiv: q-bio.CB/0411026 (2004) 30 p.
[B600]
S.B.Hall, J.A.Schellman. Flow dichroism of capsid DNA phages. I. Fast and slow T4B.
Biopolymers 21 (1982) 1991-2010. DOI: 10.1002/bip.360211006
[B601]
S.B.Hall, J.A.Schellman. Flow dichroism of capsid DNA phages. II. Effect of DNA deletions and intercalating dyes.
Biopolymers 21 (1982) 2011-2031. DOI: 10.1002/bip.360211007
[B602]
P.Serwer, S.J.Hayes, R.H.Watson. Conformation of DNA packaged in bacteriophage T7: Analysis by use of ultraviolet light-induced DNA-capsid cross-linking.
J. Mol. Biol. 223, Issue 4, Feb. 20 (1992) 999-1011. DOI: 10.1016/0022-2836(92)90258-L
[B603]
P.Serwer. Arrangement of double-stranded DNA packaged in bacteriophage capsids: An alternative model.
J. Mol. Biol. 190, Issue 3, Aug. 5 (1986) 509-512. DOI: 10.1016/0022-2836(86)90019-7
[B604]
P.Serwer, S.A.Khan, S.J.Hayes, R.H.Watson, G.A.Griess. The conformation of packaged bacteriophage T7 DNA: Informative images of negatively stained T7.
Journal of Structural Biology 120, Issue 1, Oct. (1997) 32-43. DOI: 10.1006/jsbi.1997.3895
[B605]
N.V.Hud. Double-stranded DNA organization in bacteriophage heads: an alternative toroid-based model.
Biophys. J. 69, (1995) 1355-1362.
[B606]
P.Gouet, J.M.Diprose, J.M.Grimes, R.Malby, J.N.Burroughs, S.Zientara, D.I.Stuart, P.P.C.Mertens.
The highly ordered double-stranded RNA genome of bluetongue virus revealed by crystallography.
Cell 97, No. 4, May 14 (1999) 481-490. DOI: 10.1016/S0092-8674(00)80758-8
[B607]
C.C.Conwell, N.V.Hud. Evidence that both kinetic and thermodynamic factors govern DNA toroid dimensions: effects of magnesium(II)
on DNA condensation by hexammine cobalt(III).
Biochemistry 43, No. 18, (2004) 5380-5387. DOI: 10.1021/bi049872u
[B608]
R.W.Hendrix. Symmetry mismatch and DNA packaging in large bacteriophages.
Proc. Natl. Acad. Sci. USA 75, No. 10, Oct. (1978) 4779-4783.
[B609]
J.M.Valpuesta, M.Serrano, L.E.Donate, L.Herranz, J.L.Carrascosa. DNA conformational change induced by the bacteriophage phi 29 connector.
Nucleic Acids Res. 20, No. 21, Nov. 11 (1992) 5549-5554.
[B610]
S.Turnquist, M.Simon, E.Egelman, D.Anderson. Supercoiled DNA wraps around the bacteriophage phi 29 head-tail connector.
Proc. Natl. Acad. Sci. USA 89, No. 21, Nov. 1 (1992) 10479-10483.
[B611]
A.A.Simpson, Y.Tao, P.G.Leiman, M.O.Badasso, Y.He, P.J.Jardine, N.H.Olson, M.C.Morais, S.Grimes, D.L.Anderson, T.S.Baker, M.G.Rossmann.
Structure of the bacteriophage \phi29 DNA packaging motor.
Nature 408, Dec. 7 (2000) 745-750. DOI: 10.1038/35047129
[B612]
P.Serwer. Models of bacteriophage DNA packaging motors.
J. Struct. Biol. 141, No. 3, Mar. (2003) 179-188. DOI: 10.1016/S1047-8477(02)00628-7
[B613]
H.Fujisawa, M.Morita. Phage DNA packaging.
Genes Cells 2, No. 9, Sep. (1997) 537-545. DOI: 10.1046/j.1365-2443.1997.1450343.x
[B614]
A.A.Kornyshev, S.Leikin. Twist in chiral interaction between biological helices.
Phys. Rev. Lett. 84, No. 11, Mar. 13 (2000) 2537-2540. DOI: 10.1103/PhysRevLett.84.2537
[B615]
A.G.Cherstvy. Structure of DNA toroids and electrostatic attraction of DNA duplexes.
J. Phys.: Condens. Matter 17 (2005) 1363-1374. DOI: 10.1088/0953-8984/17/8/015
[B616]
G.Ramachandran, T.Schlick. Buckling transitions in superhelical DNA: Dependence on the elastic constants and DNA size.
Biopolymers 41, No. 1, (1997) 5-25. DOI: 10.1002/(SICI)1097-0282(199701)41:1<5::AID-BIP2>3.0.CO;2-Y
[B617]
V.V.Vasilevskaya, A.R.Khokhlov, S.Kidoaki, K.Yoshikawa. Structure of collapsed persistent macromolecule: Toroid vs. spherical globule.
Biopolymers 41, No. 1, (1997) 51-60. DOI: 10.1002/(SICI)1097-0282(199701)41:1<51::AID-BIP5>3.0.CO;2-1
[B618]
P.G.Arscott, A.Li, V.A.Bloomfield. Condensation of DNA by trivalent cations. 1. Effects of DNA length and topology on the size and shape of condensed particles.
Biopolymers 30, Issue 5-6, (1990) 619-630. DOI: 10.1002/bip.360300514
[B619]
K.A.Marx, G.C.Ruben. A study of phi X-174 DNA torus and lambda DNA torus tertiary structure and the implications for DNA self-assembly.
J. Biomol. Struct. Dyn. 4, Issue 1, (1986) 23-39.
[B620]
V.A.Bloomfield. Condensation of DNA by multivalent cations: Considerations on mechanism.
Biopolymers 31, Issue , (1991) 1471-1481. DOI:
[B621]
J.Bednar, R.A.Horowitz, S.A.Grigoryev, L.M.Carruthers, J.C.Hansen, A.J.Koster, C.L.Woodcock. Nucleosomes, linker DNA, and linker histone form a unique structural motif that directs the higher-order folding and
compaction of chromatin.
Proc. Natl. Acad. Sci. USA 95, Issue 24, Nov. 24 (1998) 14173-14178.
[B622]
G.E.Plum, P.G.Arscott, V.A.Bloomfield. Condensation of DNA by trivalent cations. 2. Effects of cation structure.
Biopolymers 30, Issue , (1990) 631-643. DOI:
[B623]
S.He, P.G.Arscott, V.A.Bloomfield. Condensation of DNA by multivalent cations: Experimental studies of condensation kinetics.
Biopolymers 53, Issue 4, (2000) 329-341. DOI: 10.1002/(SICI)1097-0282(20000405)53:4<329::AID-BIP5>3.0.CO;2-6
[B624]
Y.Fang, J.H.Hoh. Cationic silanes stabilize intermediates in DNA condensation.
FEBS Lett. 459, Issue 2, Oct. 8 (1999) 173-176 . DOI: 10.1016/S0014-5793(99)01237-5
[B625]
A.L.Martin, M.C Davies, B.J.Rackstraw, C.J.Roberts, S.Stolnik, S.J.B.Tendler, P.M.Williams.
Observation of DNA-polymer condensate formation in real time at a molecular level.
FEBS Lett. 480, Issues 2-3, Sep. 1 (2000) 106-112. DOI: 10.1016/S0014-5793(00)01894-9
[B626]
S.A.Grigoryev, J.Bednar, C.L.Woodcock. MENT, a heterochromatin protein that mediates higher order chromatin folding, is a new serpin
family member.
J. Biol. Chem. 274, Issue 9, Feb. 26 (1999) 5626-5636. DOI: 10.1074/jbc.274.9.5626
[B627]
R.Podgornik, D.C.Rau, V.A.Parsegian. Parametrization of direct and soft steric-undulatory forces between DNA double helical polyelectrolytes in solutions of several different anions and cations.
Biophys. J. 66, Issue 4, (1994) 962-971.
[B628]
R.E.Dickerson, T.K.Chiu. Helix bending as a factor in protein/DNA recognition.
Biopolymers 44, Issue 4, (1997) 361-403. DOI: 10.1002/(SICI)1097-0282(1997)44:4<361::AID-BIP4>3.0.CO;2-X
[B629]
Y.Magarshak. Quaternion representation of RNA sequences and tertiary structures.
Biosystems 30, Issues 1-3, (1993) 21-29. DOI: 10.1016/0303-2647(93)90059-L
[B630]
S.Sankararaman, J.F.Marko. Formation of loops in DNA under tension.
Physical Review E 71, (2005) 021911-1-13. DOI: 10.1103/PhysRevE.71.021911
[B631]
B.-Y.Ha, A.J.Liu. Kinetics of bundle growth in DNA condensation.
Europhys. Lett. 46, Issue 5, (1999) 624-630. DOI: 10.1209/epl/i1999-00311-6
[B632]
S.M.Klimenko, T.I.Tikchonenko, V.M.Andreev. Packing of DNA in the head of bacteriophage T2.
J. Mol. Biol. 23, Issue 3, (1967) 523-533.
[B633]
T.Nakai, K.Hizume, S.H.Yoshimura, K.Takeyasu, K.Yoshikawa. Phase transition in reconstituted chromatin.
Europhys. Lett. 69 (6), (2005) 1024-1030. DOI: 10.1209/epl/i2004-10444-6
[B634]
S.Sankararaman, J.F.Marko. Formation of loops in DNA under tension.
Physical Review E 71, Issue 2, (2005) 021911-1-13. DOI: 10.1103/PhysRevE.71.021911
[B635]
F.Mohammad-Rafiee, R.Golestanian. The effect of anisotropic bending elasticity on the structure of bent DNA.
J. Phys.: Condens. Matter 17, Issue 14, Apr. 13 (2005) S1165-S1170. DOI: 10.1088/0953-8984/17/14/004
[B636]
D.Baigl, K.Yoshikawa. Dielectric control of counter-ion-induced single-chain folding transition of DNA.
Biophysical Journal 88 (5), (2005) 3486-3493. DOI: 10.1529/biophysj.105.059493
[B637]
G.C.L.Wong, A.Lin, J.X.Tang, Y.Li, P.A.Janmey, C.R.Safinya. Lamellar phase of stacked two-dimensional rafts of actin filaments.
Phys. Rev. Lett. 91, Issue , (2003) 018103. DOI: 10.1103/PhysRevLett.91.018103
[B638]
B.Dorigo, T.Schalch, A.Kulangara, S.Duda, R.R.Schroeder, T.J.Richmond. Nucleosome arrays reveal the two-start organization of the chromatin fiber.
Science 306, Issue 5701, Nov. 26 (2004) 1571-1573. DOI: 10.1126/science.1103124
[B639]
F.Mohammad-Rafiee, R.Golestanian. Nonlinear mechanical response of DNA due to anisotropic bending elasticity.
The European Physical Journal E 12, Issue 4, (2003) 599-604. DOI: 10.1140/epje/e2004-00032-5
[B640]
Y.Zhang. Approach to Monte Carlo calculation of the buckling of supercoiled DNA loops.
Phys. Rev. E 62, Issue 5, (2000) R5923-R5926. DOI: 10.1103/PhysRevE.62.R5923
[B641]
S.Ruan, R.S.Filfil. Dynamics of a two-neuron system with discrete and distributed delays.
Physica D 191, Issues 3-4, May 1 (2004) 323-342. DOI: 10.1016/j.physd.2003.12.004
[B642]
C.W.Jones, J.C.Wang, R.W.Briehl, M.S.Turner. Measuring forces between protein fibers by microscopy.
Biophysical Journal 88 (2005) 2433-2441. DOI: 10.1529/biophysj.104.050856
[B643]
P.B.Furrer, R.S.Manning, J.H.Maddocks. DNA rings with multiple energy minima.
Biophysical Journal 79, No. 1, (2000) 116-136.
[B644]
A.J.Spakowitz, Z.-G.Wang. DNA packaging in bacteriophage: Is twist important?
Biophysical Journal 88 (2005) 3912-3923. DOI: 10.1529/biophysj.104.052738
[B645]
N.H.Mendelson, J.E.Sarlls, C.W.Wolgemuth, R.E.Goldstein. Chiral self-propulsion of growing bacterial macrofibers on a solid surface.
Phys. Rev. Lett. 84, Issue 7, Feb. 14 (2000) 1627-1630. DOI: 10.1103/PhysRevLett.84.1627
[B646]
E.J.Mancini, D.E.Kainov, J.M.Grimes, R.Tuma, D.H.Bamford, D.I.Stuart. Atomic snapshots of an RNA packaging motor reveal conformational changes linking ATP hydrolysis to RNA translocation.
Cell 118, Issue 6, Sep. 17 (2004) 743-755. DOI: 10.1016/j.cell.2004.09.007
[B647]
I.M.Kuli\'c, H.Schiessel. Chromatin dynamics: nucleosomes go mobile through twist defects.
Phys. Rev. Lett. 91, Issue 14, Oct. 1 (2003) 148103-1-4. DOI: 10.1103/PhysRevLett.91.148103
[B648]
K.Kruse, F.Jülicher. Self-organization and mechanical properties of active filament bundles
Phys. Rev. E 67, No. 5, (2003) 051913, 16 p. DOI: 10.1103/PhysRevE.67.051913
[B649]
N.C.Seeman, P.S.Lukeman. Nucleic acid nanostructures: bottom-up control of geometry on the nanoscale.
Reports on Progress in Physics 68, Issue 1, (2005) 237-270. DOI: 10.1088/0034-4885/68/1/R05
[B650]
K.A.Marx, G.C.Ruben. Evidence for hydrated spermidine-calf thymus DNA toruses organized by circumferential DNA wrapping.
Nucleic Acids Res. 11, Issue 6, Mar. 25 (1983) 1839-1854.
[B651]
W.C.Earnshaw, S.R.Casjens. DNA packaging by the double-stranded DNA bacteriophages.
Cell 21, Issue 2, (1980) 319-331. DOI: 10.1016/0092-8674(80)90468-7
[B652]
R.de Vries. Evaluating changes of writhe in computer simulations of supercoiled DNA.
The Journal of Chemical Physics 122, 8 Feb (2005) 064905-1-5. DOI: 10.1063/1.1846052
[B653]
F.Livolant, A.Leforestier. Condensed phases of DNA: Structures and phase transitions.
Progress in Polymer Science 21, Issue 6, (1996) 1115-1164. DOI: 10.1016/S0079-6700(96)00016-0
[B654]
F.Mohammad-Rafiee, R.Golestanian. Elastic correlations in nucleosomal DNA structure.
Phys. Rev. Lett. 94, Issue 23, 17 Jun. (2005) 238102. DOI: 10.1103/PhysRevLett.94.238102
[B655]
G.Charvin, A.Vologodskii, D.Bensimon, V.Croquette. Braiding DNA: Experiments, simulations, and models.
Biophysical Journal 88 (2005) 4124-4136. DOI: 10.1529/biophysj.104.056945
[B656]
V.Rossetto. DNA loop statistics and torsional modulus.
Europhys. Lett. 69, Issue 1, (2005) 142-148. DOI: 10.1209/epl/i2004-10306-3
[B657]
Kai Hu. Writhe of DNA induced by a terminal twist.
Bulletin of Mathematical Biology 67, Issue 2, (2005) 197-209. DOI: 10.1016/j.bulm.2004.05.008
[B658]
A.E.Cohen, L.Mahadevan. Kinks, rings, and rackets in filamentous structures.
Proc. Natl. Acad. Sci. USA 100, Issue 21, Oct. 14 (2003) 12141-12146. DOI: 10.1073/pnas.1534600100
[B659]
M.B.Sherman, J.Jakana, S.Sun, P.Matsudaira, W.Chiu, M.F.Schmid. The three-dimensional structure of the Limulus acrosomal process: a dynamic actin bundle.
Journal of Molecular Biology 294, Issue 1, 19 Nov. (1999) 139-149. DOI: 10.1006/jmbi.1999.3222
[B660]
J.Arsuaga, M.Vazquez, P.McGuirk, S.Trigueros, D.W.Sumners, J.Roca. DNA knots reveal a chiral organization of DNA in phage capsids.
Proc. Natl. Acad. Sci. USA 102, Issue 26, June 28 (2005) 9165-9169. DOI: 10.1073/pnas.0409323102
[B661]
D.Bray. Cell Movements: From Molecules to Motility.
Garland Publishing [ISBN 0815332823] (2001) 372p.
[B662]
D.J.DeRosiera, L.G.Tilney. F-actin bundles are derivatives of microvilli: What does this tell us about how bundles might form?
Journal of Cell Biology 148, Issue 1, Jan. 10 (2000) 1-6.
[B663]
J.H.Shin, L.Mahadevan, P.T.So, P.Matsudaira. Bending stiffness of a crystalline actin bundle.
J. Mol. Biol. 337, Issue 2, 19 Mar. (2004) 255-261.DOI: 10.1016/j.jmb.2004.01.028
[B664]
L.G.Tilney. Actin filaments in the acrosomal reaction of Limulus sperm. Motion generated by alterations in the packing of the filaments.
J. Cell Biol. 64, Issue 2, (1975) 289-310.
[M001]
S.Kobayashi, K.Nomizu. Foundation of Differential Geometry.
Wiley, New York (1963).
[M002]
C.V.Westenholz. Differential Form in Mathematical Physics.
North-Holland, Amsterdam (1981).
[M003]
G.Calugareanu. Sur les classes d'isotopie des noeuds tridimensionnels et leurs invariants.
Czechoslovak Math. J. 11(86), No. 4 (1961) 588-625.
[M004]
A.H.E.Love. {A} Treatise on the Mathematical Theory of Elasticity, 4th ed.
Dover, London, New York, (1926) (1944). Cambridge University Press, Cambridge, 4th ed (1927).
[M005]
L.D.Landau, E.M.Lifshitz. Theory of Elasticity.
Addison-Wesley, Reading, MA (1959) pp. 79-85; Pergamon, London (1959) (1960) p. 82; 2nd ed. Pergamon,
New York, Oxford (1970); The'orie de l'Elasticite'.
Mir, Moscow (1967)
Course of theoretical physics: theory of elasticity, 7, edn. 3; Elmsford:
Pergamon Press (1986).
[M006]
M.Wadati, K.Konno, Y.H.Ichikawa. A generalization of inverse scattering method.
J. Phys. Soc. Japan 46, No. 6, (1979) 1965-1966. DOI: 10.1143/JPSJ.46.1965
[M007]
Y.H.Ichikawa, K.Konno, M.Wadati. Nonlinear transverse oscillation of elastic beams under tension.
J. Phys. Soc. Japan 50, No.5, (1981) 1799-1802. DOI: 10.1143/JPSJ.50.1799
[M008]
H.Tsuru. Equilibrium shapes and vibrations of thin elastic rod.
J. Phys. Soc. Japan 56, No 7 (1987) 2309-2324. DOI: 10.1143/JPSJ.56.2309
[M009]
M.Vigodsky. Sur les courbes ferm\'ees \`a indicatrice des tangentes donn\'ee
[O zamknutyh liniyah s zadannoj indikatrisoj kasatel'nyh]
[.Ÿ.‚룮¤áª¨©. Ž § ¬ªãâëå «¨¨ïå á í ¤ ®© ¨¤¨ª âà¨á®© ª á ⥫ìëå
].
Œ Recueil Math\'ematique [Matematicheskij sbornik] [⥬ â¨ç¥áª¨© ᡮਪ, â.] 16(58), No. 1 (1945) 73-80 [in Russian, abstract in French]
[M010]
H.K.Moffatt. The energy spectrum of knots and links.
Nature 347, 27 Sept. (1990) 367-369. DOI: 10.1038/347367a0
[M011]
P.G.Tait.
Scientific Papers (Cambridge University Press) 1 (1898) 273-347.
[M012]
Lord Kelvin (then W.Thomson).
Trans. R. Soc. Edinb. 25 (1868) 217-260.
[M013]
G.K.Batchelor.
Proc. R. Soc. A 213 (1952) 349-366.
[M014]
H.K.Moffatt. The degree of knottedness of tangled vortex lines.
J. Fluid Mech. 35, part 1 (1969) 117-129.
[M015]
M.A.Berger, G.B.Field. The topological properties of magnetic helicity.
J. Fluid Mech. 147 (1984) 133-148.
[M016]
E.Witten. In: Braid Group, Knot Theory and Statistical Mechanics (ed. C.N.Young, M.L.Ge).
World Scientific, Singapore (1989) 239-329.
[M017]
H.K.Moffatt. Magnetostatic equilibrium and analogous Euler flows of
arbitrarily complex topology. Part I, Fundamentals.
J. Fluid Mech. 159 (1985) 359-378.
[M018]
M.H.Freedman.
J. Fluid Mech. 194 (1988) 549-551.
[M019]
M.H.Freedman, Z.-X.He. Links of tori and the energy of incompressible flows.
Topology 30, No. 2 (1991) 283-287.
[M020]
M.H.Freedman, Z.-X.He.
Preprint. Res. Rep. GCG 15. Geometry Supercomputers Project. University of Minnesota (1990).
[M021]
Y.H.Ichikawa, K.Konno, M.Wadati.
In: Long-Time Prediction in Dynamics, ed. C.W.Horton, L.E.Reichl and V.G.Szebehely (John Wiley and Sons, New York, 1982) 345.
[M022]
H.Tsuru. Nonlinear dynamics for thin elastic rod.
J. Phys. Soc. Japan 55, No 7, (1986) 2177-2182. DOI: 10.1143/JPSJ.55.2177
[M023]
F.R.Hama. Progressive deformation of a curved vortex filament by its own induction.
Phys. Fluids 5 (1962) 1156-1162.
[M024]
S.Kida. A vortex filament moving without change of form.
J. Fluids Mech. 112 (1981) 397-409.
[M025]
H.Hasimoto, T.Kambe. Simulation of invariant shapes of a vortex filament with an elastic rod.
J. Phys. Soc. Japan 54, No.1, (1985) 5-7. DOI: 10.1143/JPSJ.54.5
[M026]
H.Hasimoto. A soliton on a vortex filament.
J. Fluids Mech. 51 (1972), Pt. 3, 477-485.
[M027]
G.Kirchhoff. Ueber das Gleichgewicht und die Bewegung eines unendlich duennen elastischen Stabes.
J. f. reine angew, Math. (Crelle) 50{56} (1859) 285-313.
[M028]
R.Bulirsch. Handbook series special functions. Numerical calculation of elliptic integrals and elliptic functions.
Numerische Mathematik 7 (1965) 78-90.
[M029]
N.Asano, T.Taniuti, N.Yajima. Perturbation method for a nonlinear wave modulation. II.
J. Math. Phys. 10, Issue 11 (1969) 2020-2024. DOI: 10.1063/1.1664797
[M030]
G.K.Batchelor. An Introduction to Fluid Dynamics.
Cambridge Univ. Press (1967) p. 507, 509, Ch. 7.
[M031]
R.Betchov. On the curvature and torsion of an isolated vortex filament.
J. Fluid Mech. 22 (1965) 471-479.
[M032]
H.Hasimoto, H.Ono. Nonlinear modulation of gravity waves.
J. Phys. Soc. Japan 33, No. 3, (1972) 805-811. DOI: 10.1143/JPSJ.33.805
[M033]
F.R.Hama. Progressive deformation of a perturbed line vortex filament.
Phys. Fluids 6 (1963) 526-534.
[M034]
H.Hasimoto. Motion of a vortex filament and its relation to elastica.
J. Phys. Soc. Japan 31, No. 1, (1971) 293-294. DOI: 10.1143/JPSJ.31.293
[M035]
T.Kambe, T.Takao. Motion of distorted vortex rings.
J. Phys. Soc. Japan 31, No. 2, (1971) 591-599. DOI: 10.1143/JPSJ.31.591
[M036]
V.I.Karpman, E.M.Krushkal. Modulated waves in nonlinear dispersive media.
Sov. Phys. J. Exp. Theor. Phys. 28 (1969) 277-281.
[M037]
T.Taniuti, N.Yajima. Perturbation method for a nonlinear wave modulation. I.
J. Math. Phys. 10, Issue 8 (1969) 1369-1372. DOI: 10.1063/1.1664975
[M038]
N.Yajima, A.Outi.
Prog. Theor. Phys. (Kyoto) 45 (1971) 1997.
[M039]
M.Abramowitz, I.A.Stegun. Handbook of Mathematical Functions {Tables}.
Dover, New York (1964, 1972).
[M040]
D.J.Benney, A.C.Newell. The propagation of nonlinear wave envelops.
J. Math. & Phys. 46 (1967) 133-139.
[M041]
V.I.Bespalov, V.I.Talanov. Filamentary structure of light beams in nonlinear liquids.
J. Exp. Theor. Phys. Lett. 3 (1966) 307-310.
[M042]
L.P.Eisenhart. A Treatise on the Differential Geometry of Curves and Surfaces.
Dover (1960).
[M043]
L.E.Fraenkel. On steady vortex rings of small cross-section in an ideal fluid.
Proc. Roy. Soc. London A 316, No. 1524, Mar. 31 (1970) 29-62.
[M044]
L.E.Fraenkel. Examples of steady vortex rings of small cross-section in an ideal fluid.
J. Fluid Mech. 51 (1972) 119-135.
[M045]
P.L.Kelley. Self-focusing of optical beams.
Phys. Rev. Lett. 15 (1965) 1005-1008. DOI: 10.1103/PhysRevLett.15.1005
[M046]
Lord Kelvin. Mathematical and Physical Papers, 4, p.152
Cambridge Univ. Press (1880).
[M047]
M.Lakshmanan. Continuum spin system as an exactly solvable dynamical system.
Physics Letters A 61, Issue 1, 4 April (1977) 53-54. DOI: 10.1016/0375-9601(77)90262-6
[M048]
M.Lakshmanan, T.W.Ruijgrok, C.J.Thompson. On the dynamics of a continuum spin system.
Physica A 84 (1976) 577-590.
[M049]
H.Lamb. Hydrodynamics, 6th edn.
Cambridge Univ. Press (1932) Ch. 7.
[M050]
G.L.Lamb, Jr. Solitons on moving space curves.
J. Math. Phys. 18, Issue 8, August (1977) 1654-1661. DOI: 10.1063/1.523453
[M051]
M.J.Lighthill. Contributions to the theory of waves in non-linear dispersive systems.
J. Inst. Math. Applic. 1 (1965) 269-306.
[M052]
M.J.Lighthill. Some special cases treated by the Whitham theory.
Proc. Roy. Soc. London A 299, No. 1456, Jun. 13 (1967) 28-53.
[M053]
D.W.Moore, P.G.Saffman. The motion of a vortex filament with axial flow.
Phil. Trans. Roy. Soc. Lond. A 272, No. 1226, Jul. 13 (1972) 403-429.
[M054]
L.Onsager. Statistical hydrodynamics.
Nuovo Cimento Suppl. 6 (1949) 279-287.
[M055]
P.G.Saffman. Propagation of a solitary wave along a magnetic field in a cold collision-free plasma.
J. Fluid Mech. 11 (1961) 16-20.
[M056]
P.G.Saffman. The velocity of viscous vortex rings
Stud. Appl. Math. 49 (1970) 371-380.
[M057]
A.C.Scott, F.Y.F.Chu, D.W.Mclaughlin. The soliton: A new concept in applied science.
Proc. I.E.E.E. 61 (1973) 1443-1483.
[M058]
V.I.Talanov. Self focusing of wave beams in nonlinear media.
J. Exp. Theor. Phys. Lett. 2 (1965) 138-141.
[M059]
C.Tung, L.Ting. Motion and decay of a vortex ring.
Phys. Fluids 10 (1967) 901-910.
[M060]
S.E.Widnall. The stability of a helical vortex filament.
J. Fluid Mech. 54 (1972) 641-663.
[M061]
V.E.Zakharov, S.V.Manakov. On the complete integrability of a nonlinear Schroedinger equation.
Theor. Math. Phys. 19 (1974) 551-559.
[M062]
V.E.Zakharov, A.B.Shabat. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media.
Sov. Phys. J. Exp. Theor. Phys. 34 (1972) 62-69.
[M063]
V.E.Zakharov, A.B.Shabat. Interaction between solitons in a stable medium.
Sov. Phys. J. Exp. Theor. Phys. 37 (1973) 823-828.
[M064]
K.R.Symon. Mechanics, 2nd ed.
Addison-Wesley, Reading, MA (1960) pp.228-229, 461-468.
[M065]
J.L.Lagrange. Mecanique Analytique, revised ed.
(1811-1815).
[M066]
W.D.MacMillan. Dynamics of Rigid Bodies.
Dover, New York (1936) pp.216-256.
[M067]
A.G.Greenhill.
J. Inst. Mech. Eng. London (1883) 182-225.
[M068]
J.Hadamard.
Bull. Sci. Math. 2, Ser. 19 (1895) 228-230.
[M069]
L.D.Landau, E.M.Lifshitz. Statistical Physics.
Addison-Wesley, Reading, MA (1958) pp. 482-487; 2nd ed., Pergamon Press, Oxford and New York (1969).
[M070]
Y.Murakami, H.Takahashi, Y.Ukita, S.Fujiwara.
Oyo Buturi (Applied Phys. in Japanese) 6 (1937) 151.
[M071]
R.J.Arms, F.R.Hama.
Phys. Fluids 8 (1965) 553.
[M072]
R.Takaki. Numerical analysis of distortion of a vortex filament.
J. Phys. Soc. Japan 38, No. 5 (1975) 1530-1537. DOI: 10.1143/JPSJ.38.1530
[M073]
P.G.Saffman, G.R.Baker.
Ann. Rev. Fluid Mech. 12 (1979) 95.
[M074]
A.Leonard.
J. Compt. Phys. 37 (1980) 289.
[M075]
H.Hasimoto.
Proc. XVth IUTAM Congr. Toronto, 1980 (North Holland) p. 273.
[M076]
S.Kida. Stability of a steady vortex filament.
J. Phys. Soc. Japan 51, No. 5 (1982) 1655-1662. DOI: 10.1143/JPSJ.51.1655
[M077]
E.J.Hopfinger, F.K.Browand, Y.Gagne.
J. Fluid Mech. 125 (1982) 503.
[M078]
E.J.Hopfinger, F.K.Browand. Vortex solitary waves in a rotating, turbulent flow.
Nature 295 (1982) 393-395.
[M079]
S.Leibovich, H.Y.Ma.
Phys. Fluids 26 (1983) 3173.
[M080]
K.Konno, Y.-H.Ichikawa, M.Wadati. A loop soliton propagating along a stretched rope.
J. Phys. Soc. Japan 50, No.3 (1981) 1025-1026. DOI: 10.1143/JPSJ.50.1025
[M081]
Y.Ishimori. On the modified Korteweg-de Vries soliton and the loop soliton.
J. Phys. Soc. Japan 50, No.8 (1981) 2471-2472. DOI: 10.1143/JPSJ.50.2471
[M082]
G.L.Lamb, Jr. Solitons and the motion of helical curves.
Phys. Rev. Lett. 37, Issue 5, August 2 (1976) 235-237.
DOI: 10.1103/PhysRevLett.37.235
[M083]
V.E.Zakharov, L.A.Takh{i}ta{d}zyan.
Theor. Math. Phys. 38 (1979) 17.
[M084]
G.L.Lamb, Jr. Elements of Soliton Theory.
John Wiley & Sons (1980).
[M085]
R.Hirota. Bilinearization of soliton equations.
J. Phys. Soc. Japan 51, No. 1 (1982) 323-331. DOI: 10.1143/JPSJ.51.323
[M086]
A.Sym.
Lett. Nuovo Cimento C 36 (1983) 307.
[M087]
D.Levi, A.Sym, S.Wojciechowski. N-solitons on a vortex filament.
Physics Letters A 94, Issue 9, Apr. 4 (1983) 408-411. DOI: 10.1016/0375-9601(83)90839-3
[M088]
M.J.Ablowitz, D.J.Kaup, A.C.Newell, H.Segur.
Stud. Appl. Math. 53 (1974) 249.
[M089]
R.C.J.Holland.
Philos. Mag. 7, 1 (1926) 674.
[M090]
I.S.Sokolnikoff. Mathematical Theory of Elasticity.
McGraw-Hill, New York (1956) p. 106.
[M091]
L.D.Landau, E.M.Lifshitz. Fluid Mechanics.
Pergamon Press (1959) Chap. 7.
[M092]
M.Wadati, Y.H.Ichikawa, T.Shimizu. Cusp soliton of a new integrable nonlinear evolution equation.
Progress of Theoretical Physics 64, No. 6 (1980) 1959-1967.
[M093]
H.L.Langhaar. Dimensional Analysis and Theory of Models.
Chapman and Hall, London (1954).
[M094]
S.S.Antman. Kirchhoff's problem for nonlinearly elastic rods.
Q. Appl. Math. 32, No. 3, (1974) 221-240.
[M095]
J.W.Dungey. Cosmic Electrodynamics.
Cambridge University Press, London and New York (1958).
[M096]
D.Glaubiger, J.E.Hearst.
Biopolymers 5 (1967) 691. DOI:
[M097]
W.F.Pohl. The self-linking number of a closed space curve.
Journal of Mathematics and Mechanics 17, No. 10 (1968) 975-985. DOI: 10.1512/iumj.1968.17.17060
[M098]
W.Blaschke. Einfuehrung in die Differentialgeometrie.
Springer-Verlag, Berlin, Goettingen and Heidelberg (1950).
[M099]
W.Blaschke. Vorlesungen ueber Integralgeometrie.
VEB Deutscher Verlag der Wissenschaften, Berlin, (1955).
[M100]
W.Fenchel. On the differential geometry of closed space curves.
Bull. Amer. Math. Soc. 57 (1951) 44-54.
[M101]
F.Perrin.
J. Phys. Rad. 7 (1936) 1-11.
[M102]
F.Perrin.
J. Phys. Rad. 10 (1934) 497-511.
[M103]
D.O.Gough, D.Lynden-Bell.
J. Fluid Mech. 32 (1968) 437-447.
[M104]
F.P.Bretherton, J.S.Turner.
J. Fluid Mech. 32 (1968) 449-464.
[M105]
A.Ibbetson, D.J.Tritton.
J. Fluid Mech. 68 (1975) 639-672.
[M106]
A.D.McEwan.
Nature 260 (1976) 126-128.
[M107]
A.Colin de Verdiere.
Geophys. Astrophys. Fluid. Dyn. 15 (1980) 213-251.
[M108]
E.J.Hopfinger, J.A.Toly.
J. Fluid Mech. 78 (1976) 155-175.
[M109]
E.J.Hopfinger, F.K.Browand.
Proc. IUTAM/IUGG Symp. on Concentrated Atmospheric Vortices, Reading (1981).
[M110]
C.Reber.
Bull. Am. Met. Soc. 35 (1954) 191-197.
[M111]
J.H.Golden, D.Purcell.
Mon. Weath. Rev. 106 (1978) 3-11.
[M113]
E.A.Coddington, N.Levinson. Theory of Ordinary Differential Equations.
McGraw-Hill (1955) Chap. 3, $ 5.
[M114]
J.H.White. Self-linking and the Gauss integral in higher dimensions.
Amer. J. Math. 91, No. 3 (1969) 693-728.
[M115]
P.Alexandroff, H.Hopf. Topologie.
Chelsea Publishing Company, New York (1965).
[M116]
G.Calugareanu. L'integrale de Gauss et l'analyse des noeuds tridimensionnels.
Revue de Mathematiques Pures et Appliquees, Bucarest, 4 (1959) 5-20.
[M117]
S.S.Chern. On the curvatura integra in a Riemannian manifold.
Annals of Mathematics 46, No. 4, Oct. (1945) 674-684.
[M118]
S.S.Chern. Topics in Differential Geometry.
Mimeographed notes, Institute for Advanced Studies (1951).
[M119]
S.S.Chern. La geometrie des sous-varietes d'un espace euclidien a plusieurs dimensions.
L'enseignement Mathematique 40 (1955) 26-46.
[M120]
W.Fenchel. Uber einen Jacobischen Satz der Kurventheorie.
The Tohoku Mathematical Journal 39 (1934) 95-97.
[M121]
H.Guggenheimer. Differential Geometry.
McGraw Hill, N.Y. (1963)
[M122]
R.Lashof, S.Smale. On the immersion of manifolds in Euclidean space.
Annals of Mathematics 68, No. 3, Nov. (1958) 562-583.
[M123]
R.K.Lashof, S.Smale. Self-intersections of immersed manifolds.
Journal of Mathematics and Mechanics 8, No. 1 (1959) 143-157. DOI: 10.1512/iumj.1959.8.58010
[M124]
J.A.Little. On sigularities of submanifolds of higher dimensional Euclidean spaces.
Thesis, Univ. of Minnesota, mimeographed (1968).
[M125]
W.F.Pohl. Some integral formulas for space curves and their generalization.
Amer. J. Math. 90, No. 4. (1968) 1321-1345.
[M126]
H.Whitney. On the topology and differentiable manifolds.
Lectures in Topology, Wilder and Ayres, University of Michigan, 1941.
[M127]
H.Whitney. The self-intersections of a smooth n-manifold in 2n-space.
Annals of Mathematics 45, No. 2, Apr. (1944) 220-246.
[M128]
T.F.Banchoff, J.H.White. The behavior of the total twist and self-linking
number of a closed space curve under inversions.
Mathematica Scandinavica 36, Fasciculus 2 (1975) 254-262.
[M129]
J.S.Turner. Buoyant vortex rings.
Proc. Roy. Soc. Lond. A 239, No. 1216, Feb. 12 (1957) 61-75.
[M130]
K.Reidemeister. Knotentheorie.
Berlin, Springer (1932) {Ergebnisse der Mathematik} Chelsea, New York 1, No. 1 (1948).
[M131]
H.Seifert-Threlfall. Lehrbuch der Topologie.
Berlin (1934).
[M132]
H.Seifert. Algebraische Approximation von Mannigfaltigkeiten.
Math. Zeitschrift 41 (1936) 1-17.
[M133]
G.Polya, G.Szegoe. Aufgaben u. Lehrsaetze aus der Analysis. T. II, 66, 230.
[M134]
R.Lilienthal. Vorlesungen ueber Differentialgeometrie. T. I, 255-257.
[M135]
E.Fermi, J.R.Pasta, S.M.Ulam. Collected Works of E.Fermi.
Univ. Chicago Press, II (1965) 978.
[M136]
N.J.Zabusky, M.D.Kruskal. Interaction of "solitons" in a collisionless plasma and the recurrence of initial states.
Phys. Rev. Letters 15 (1965) 240-243. DOI: 10.1103/PhysRevLett.15.240
[M137]
W.F.Vinen. Progress in Low Temperature Physics, ed. C.J.Gorter.
North-Holland, Amsterdam 3 (1961) 1.
[M138]
R.Hirota. Direct Methods in Soliton Theory.
In: Solitons, ed. R.K.Bullough and P.J.Caudrey; Topics in Current Physics 17, Springer-Verlag (1980) (1982) 323-331.
[M139]
R.Hirota. Discrete analogue of a generalized Toda equation.
J. Phys. Soc. Japan 50, No. 11 (1981) 3785-3791. DOI: 10.1143/JPSJ.50.3785
[M140]
R.Hirota. Nonlinear partial difference equations. IV. Bäcklund transformation for the discrete-time Toda equation.
J. Phys. Soc. Japan 45, No. 1 (1978) 321-332. DOI: 10.1143/JPSJ.45.321
[M141]
M.Sato, Y.Sato. (Mori)
RIMS Kokyuroku 388 (1980) 183 [in Japanese].
[M142]
L.A.Takhtajan. Integration of the continuous Heisenberg spin chain through the inverse scattering method.
Physics Letters A 64, Issue 2, Dec. 12 (1977) 235-237. DOI: 10.1016/0375-9601(77)90727-7
[M143]
R.Hirota. Exact envelope-soliton solutions of a nonlinear wave equation.
J. Math. Phys. 14, Issue 7 (1973) 805-809. DOI: 10.1063/1.1666399
[M144]
K.Pohlmeyer.
Com. Math. Phys. 46 (1976) 207.
[M145]
F.Lund, T.Regge. Unified approach to strings and vortices with soliton solutions.
Phys. Rev. D 14,Issue 6, Sep. 15 (1976) 1524-1535. DOI: 10.1103/PhysRevD.14.1524
[M146]
B.S.Getmanov.
JINR Preprint E2-11093, Dubna (1977).
[M147]
B.S.Getmanov.
JINR Preprint E2-80-354, Dubna (1980).
[M148]
E.K.Sklyanin.
LOMI Preprint E-3-1979, Leningrad.
[M149]
M.M.Bogdan, A.S.Kovalev.
JETP Lett. 31 (1980) 453 [in Russian].
[M150]
G.Greenhill. Gyroscopic Theory.
Chelsea Publishing, New York (1966).
[M151]
F.Klein, A.Sommerfeld. Theorie des Kreisels.
B.G.Teubner, Leipzig (1897).
[M152]
R.Courant, D.Hilbert. Methods of Mathematical Physics.
Wiley-Interscience, New York (1953).
[M153]
H.Cheng-Chung.
Proc. Am. Math. Soc. 83 (1981) 357-361.
[M154]
E.Condon, H.Odishaw. Handbook of Physics, 2nd ed.
McGraw-Hill, New York (1967).
[M155]
R.P.Feynman, R.B.Leighton, M.Sands. Lectures on Physics, vol.
2.
Addison-Wesley, Reading, Mass. (1964).
[M156]
J.B.Diaz, F.T.Metcalf
Arch. Ration. Mech. Anal. 16 (1964) 214-229.
[M157]
N.Wilson, L.R.G.Treloar.
Br. J. Appl. Phys. 12 (1961) 147-154.
[M158]
E.A.Feldman. Deformations of closed space curves.
J. of Diff. Geom. 2 (1968) 67-75.
[M159]
G.Calugareanu. Sur les enlacements tridimensionnels des courbes fermees.
Comm. Acad. R. P. Romine 11 (1961) 829-832.
[M160]
W.F.Pohl. On a theorem related to the four-vertex theorem.
Annals of Mathematics 84, No. 3, Nov. (1966) 356-367.
[M161]
C.D.Papakyriakopoulos. On Dehn's lemma and the asphericity of knots.
Annals of Mathematics 66, No. 1, Jul. (1957) 1-26.
[M162]
P.Hartman. Ordinary Differential Equations.
Wiley, New York (1964).
[M163]
S.E.Bresler, Y.I.Frenkel.
Zh. Eksp. Teor. Fiz. USSR 9 (1939) 1094-1106.
[M164]
M.A.Davies, F.C.Moon. 3-D spatial chaos in the elastica and the spinning top: Kirchhoff analogy.
Chaos 3, No. 1 (1993) 93-99. DOI: 10.1063/1.165969
[M165]
R.Bulirsch. Handbook series special functions. Numerical calculation of elliptic integrals and elliptic functions. III.
Numerische Mathematik 13 (1969) 305-315.
[M166]
A.Mielke, P.Holmes. Spatially complex equilibria of buckled rods.
Arch. Rat. Mech. Anal. 101 (1988) 319-348.
[M167]
J.Langer, D.A.Singer. The total squared curvature of closed curves.
J. Differential Geometry 20 (1984) 1-22.
[M168]
J.Langer, D.A.Singer. Knotted elastic curves in R^3.
J. London Math. Soc. 30 (2) (1984) 512-520.
[M169]
J.J.Tyson, S.H.Strogatz. The differential geometry of scroll waves.
Int. J. of Bifurcation and Chaos 1, No. 4 (1991) 723-744.
[M170]
Rabia Djellouli. De l'e'nergie pour de'me^ler les noeuds.
La Recherche 255 Juin 1993 24
[M171]
S.Bryson et al.
Bull. of the Amer. Math. Soc., 28, janvier 1993.
[M172]
S.Fukuhara. Energy of knot, In: The F^ete of Topology
Academic Press (1987) 443-451.
[M173]
J.O'Hara. Energy of a knot.
Topology 30, No. 2 (1991) 241-247.
[M174]
M.A. de Moura. Newtonian behavior of Schroedinger solitons and kinks.
Physical Review A 37, No. 12, June 15 (1988) 4998-4999. DOI: 10.1103/PhysRevA.37.4998
[M175]
T.Y.Hou, I.Klapper, H.Si. Removing the stiffness of curvature in computing 3-D filaments.
Journal of Computational Physics 143, No. 2, (1998) 628-664. DOI: 10.1006/jcph.1998.5977
[M176]
E.E.Zajac. Stability of two planar loop elasticas.
J. of Applied Mechanics (Trans. ASME, Series E) 29 (1962) 136-142.
[M177]
M.Born. Stabilitaet der Elastischen Linie in Ebene und Raum.
Dissertation, Goettingen, Germany, 1906.
[M178]
I.Klapper, M.Tabor. A new twist in the kinematics and elastic dynamics of thin filaments and ribbons.
J. Phys. A: Math. Gen. 27, No. 14, (1994) 4919-4924. DOI: 10.1088/0305-4470/27/14/019
[M179]
J.Langer, D.A.Singer. Lagrangian aspects of the Kirchhoff elastic rod.
SIAM Review 38, No. 4, December (1996) 605-618.
[M180]
M.Epple. Orbits of asteroids, a braid, and the first link invariant.
The Mathematical Intelligencer 20, No. 1 (1998) 45-52.
[M181]
J.C.Alexander, S.S.Antman. The ambiguous twist of Love.
Quarterly of applied mathematics, April (1982) 83-92.
[M182]
R.E.Goldstein, D.M.Petrich. Solitons, Euler's equation, and vortex patch dynamics.
Phys. Rev. Lett. 69, No. 4, 27 July (1992) 555-558. DOI: 10.1103/PhysRevLett.69.555
[M183]
K.Nakayama, H.Segur, M.Wadati. Integrability and the motion of curves.
Phys. Rev. Lett. 69, No. 18, 2 Nov. (1992) 2603-2606. DOI: 10.1103/PhysRevLett.69.2603
[M184]
J.Cie\'sli\'nski, P.K.H.Gragert, A.Sym. Exact solution to
localized-induction-approximation equation modeling smoke ring motion.
Phys. Rev. Lett. 57, No. 13, 29 Sept. (1986) 1507-1510. DOI: 10.1103/PhysRevLett.57.1507
[M185]
R.E.Goldstein, D.M.Petrich. The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane.
Phys. Rev. Lett. 67, No. 23, 2 Dec. (1991) 3203-3206. DOI: 10.1103/PhysRevLett.67.3203
[M186]
R.E.Goldstein, T.R.Powers, C.H.Wiggins. Viscous nonlinear dynamics of twist and writhe.
Phys. Rev. Lett. 80, No. 23, 8 Jun. (1998) 5232-5235. DOI: 10.1103/PhysRevLett.80.5232
[M187]
R.E.Goldstein, S.A.Langer. Nonlinear dynamics of stiff polymers.
Phys. Rev. Lett. 75, No. 6, 7 Aug. (1995) 1094-1097. DOI: 10.1103/PhysRevLett.75.1094
[M188]
M.Nizette, A.Goriely. Towards a classification of Euler-Kirchhoff filaments.
J. Math. Phys. 40, No. 6, June (1999) 2830-2866. DOI: 10.1063/1.532731
[M189]
J.H.White. Self-linking and the directed secant span of a differentiable manifold.
J. Differential Geometry 5 (1971) 357-369.
[M190]
J.Aldinger, I.Klapper, M.Tabor. Formulae for the calculation and estimation of writhe.
Journal of Knot Theory and Its Ramifications 4, No. 3 (1995) 343-372.
[M191]
R.L.Ricca. The energy spectrum of a twisted flexible string under elastic relaxation.
J. Phys. A: Math. Gen. 28, No. 8, (1995) 2335-2352. DOI: 10.1088/0305-4470/28/8/024
[M192]
P.Pieranski, S.Kasas, G.Dietler, J.Dubochet, A.Stasiak. Localization of breakage points in knotted strings.
New Journal of Physics 3 (2001) 10.1-10.13.
[M193]
W.B.Fraser, D.M.Stump. The equilibrium of the convergence point in two-strand yarn plying.
International Journal of Solids and Structures 35, Issues 3-4, 2 January (1998) 285-298. DOI: 10.1016/S0020-7683(97)89372-9
[M194]
O.Gonzalez, J.H.Maddocks, F.Schuricht, H. von der Mosel. Global curvature and self-contact of nonlinearly elastic curves and rods.
Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s005260100089 Online publication: 23 April (2001) 40 p.
[M195]
Zhou Haijun, Ou-Yang Zhong-can. Spontaneous curvature-induced dynamical instability
of Kirchhoff filaments: Application to DNA kink deformations.
J. Chem. Phys. 110, No. 2 (1999) 1247-1251. DOI: 10.1063/1.478167
[M196]
Dror Bar-Natan. Perturbative Chern-Simons theory.
Journal of Knot Theory and Its Ramifications 4, No. 4 (1995) 503-547.
[M197]
J.Coyne. Analysis of the formation and elimination of loops in twisted cable.
IEEE J. of Oceanic Engineering 15, No. 2, Apr. (1990) 72-83. DOI: 10.1109/48.50692
[M198]
E.Doedel, H.B.Keller, J.P.Kernevez. Numerical analysis and control of bifurcation problems (I) Bifurcation in finite dimensions.
International Journal of Bifurcation and Chaos 1 (1991) 493-520.
[M199]
H.K.Moffatt, R.L.Ricca. Helicity and the Calugareanu invariant.
Proc. R. Soc. Lond. A 439, No. 1906, Nov. 9 (1992) 411-429.
[M200]
M.Levi. A "bicycle wheel" proof of the Gauss-Bonnet theorem.
Expositiones Mathematicae 12 (1994) 145-164.
[M201]
M.V.Berry, J.H.Hannay. Classical non-adiabatic angles.
J. Phys. A: Math. Gen. 21 (1988) L325-L331.
[M202]
B.A.Khesin, Yu.V.Chekanov. Invariants of the Euler equations for ideal or barotropic
hydrodynamics and superconductivity in D dimensions.
Physica D 40 (1989) 119-131. DOI: 10.1016/0167-2789(89)90030-4
[M203]
M.Levi. A theorem of Poinsot, path ordered integrals and parallel transport.
Fields Institute Communications 1 (1993) 133-138.
[M204]
M.P.Kharlamov. A new method for solving three-dimensional problems in the nonlinear theory of elastic rods [in Russian].
Mekh. Tverd. Tela, No. 14 (1982) 116-124.
[M205]
A.L.Kholodenko, T.A.Vilgis. Path integral calculation of the writhe for circular semiflexible polymers.
J. Phys. A: Math. Gen. 29, No. 5, Mar. 7 (1996) 939-948. DOI: 10.1088/0305-4470/29/5/010
[M206]
V.I.Arnold. The asymptotic Hopf invariant and its applications.
Sel. Math. Sov. 5 (1986) 327-345 [in Russian 1974].
[M207]
M.Tabor, I.Klapper. The dynamics of knots and curves (Part I).
Nonlinear Science Today 4, No. 1 (1994) 7-13.
[M208]
M.Tabor, I.Klapper. The dynamics of knots and curves (Part II).
Nonlinear Science Today 4, No. 2 (1994) 12-18.
[M209]
R.D.Kamien. Local writhing dynamics.
The European Physical Journal B 1 (1998) 1-4. DOI: 10.1007/s100510050145
[M210]
V.R.Chechetkin. Local rotations, topological invariant for thin rods, and supercoiling of DNA.
Physics Letters A 240, Issue 3, Mar. 30 (1998) 171-176. DOI: 10.1016/S0375-9601(98)00105-4
[M211]
C.Bouchiat, M.Mézard. Elasticity model of a supercoiled DNA molecule.
Phys. Rev. Lett. 80, No. 7 (1998) 1556-1559. DOI: 10.1103/PhysRevLett.80.1556
[M212]
V.R.Chechetkin, V.V.Lobzin. Topology of protein folding.
Physics Letters A 250 (1998) 443-448. DOI: 10.1016/S0375-9601(98)00771-3
[M213]
A.C.Maggs. Twist and writhe dynamics of stiff polymers.
Phys. Rev. Lett. 85, No. 25 (2000) 5472-5475. DOI: 10.1103/PhysRevLett.85.5472
[M214]
B.D.Coleman, E.H.Dill, M.Lembo, Zheng Lu, I.Tobias.
On the dynamics of rods in the theory of Kirchhoff and Clebsch.
Arch. Rational Mech. Anal. 121 (1993) 339-359.
[M215]
R.E.Goldstein, A.Goriely, G.Huber, C.W.Wolgemuth. Bistable helices.
Phys. Rev. Lett. 84, No. 7, 14 Feb. (2000) 1631-1634. DOI: 10.1103/PhysRevLett.84.1631
[M216]
C.W.Wolgemuth, T.R.Powers, R.E.Goldstein. Twirling and whirling:
Viscous dynamics of rotating elastic filaments.
Phys. Rev. Lett. 84, No. 7, 14 Feb. (2000) 1623-1626. DOI: 10.1103/PhysRevLett.84.1623
[M217]
S.S.Antman. Nonlinear Problems of Elasticity.
Springer-Verlag, New York (1995).
[M218]
Y.Goto, T.Yoshimitsu, M.Obata. Elliptic integral solutions of plane elastica with axial and shear deformations.
International Journal of Solids and Structures 26, Issue 4 (1990) 375-390. DOI: 10.1016/0020-7683(90)90063-2
[M219]
C.Bouchiat, M.Mézard. Elastic rod model of a supercoiled DNA molecule.
The European Physical Journal E 2, No. 4, (2000) 377-402.
[M220]
L.M.Pozo Coronado. Hamilton equations for elasticae in the Euclidean 3-space.
Physica D 141 (2000) 248-260.
[M221]
H.Reismann. Three-dimensional finite inextensional defoimation of a beam.
Int. J. of Non-Linear Mechanics 35 (2000) 157-165. DOI: 10.1016/S0020-7462(99)00005-0
[M222]
A.Tomita, R.Y.Chiao. Observation of Berry's topological phase by use of an optical fiber.
Phys. Rev. Lett. 57 (1986) 937-940. DOI: 10.1103/PhysRevLett.57.937
[M223]
R.Y.Chiao, Y.S.Wu. Manifestations of Berry's topological phase for the photon.
Phys. Rev. Lett. 57 (1986) 933-936. DOI: 10.1103/PhysRevLett.57.933
[M224]
L.Golubovic, D.Moldovan, A.Peredera. Flexible polymers and thin rods far from equilibrium: Buckling dynamics.
Phys. Rev. E 61, No. 2 (2000) 1703-1715. DOI: 10.1103/PhysRevE.61.1703
[M225]
M.V.Berry. Interpreting the anholonomy of coiled light.
Nature 326, 19 March (1987) 277-278.
[M226]
V.L.Berdichevskii, V.G.Sutyrin. Problem of an equivalent rod in nonlinear theory of springs.
PMM USSR 47, No. 2 (1984) 197-205 [Russ.: Prikl. Matem. Mekhan. 47, No. 2 (1983) 238-248].
[M227]
A.G.Kolpakov. Calculation of the characteristics of thin elastic rods with a periodic structure.
J. Appl. Maths Mechs 55, No. 3 (1991) 358-365 [Russ.: Prikl. Matem. Mekhan. 55, No. 3 (1991) 440-448].
[M228]
G.H.M.van der Heijden, J.M.T.Thompson. Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods.
Physica D 112 (1998) 201-224.
[M229]
J.Samuel, R.Bhandari. General setting for Berry's phase.
Phys. Rev. Lett. 60, No. 23, 6 June (1988) 2339-2342. DOI: 10.1103/PhysRevLett.60.2339
[M230]
M.Kugler, S.Shtrikman. Berry's phase, locally inertial frames, and classical analogues.
Phys. Rev. D 37, No. 4, 15 Feb. (1988) 934-937. DOI: 10.1103/PhysRevD.37.934
[M231]
J.Segert. Photon Berry's phase as a classical topological effect.
Phys. Rev. A 36, No. 1, July 1 (1987) 10-15. DOI: 10.1103/PhysRevA.36.10
[M232]
M.V.Berry. The adiabatic phase and Pancharatnam's phase for polarized light.
J. of Modern Optics 34, No. 11 (1987) 1401-1407.
[M233]
J.H.Hannay. Cyclic rotations, contractibility and Gauss-Bonnet.
J. Phys. A: Math. Gen. 31, No. 17, (1998) L321-L324. DOI: 10.1088/0305-4470/31/17/003
[M234]
O.Gonzalez, J.H.Maddocks. Global curvature, thickness, and the ideal shapes of knots.
Proc. Natl. Acad. Sci. USA 96, No. 9, Apr. 27 (1999) 4769-4773.
[M235]
E.Orlandini, M.C.Tesi, S.G.Whittington, D.W.Sumners, E.J.Janse van Rensburg. The writhe of a self-avoiding walk.
J. Phys. A: Math. Gen. 27, No. 10, (1994) L333-L338. DOI: 10.1088/0305-4470/27/10/006
[M236]
G.H.M.van der Heijden. The static deformation of a twisted elastic rod constrained to lie on a cylinder.
Proc. R. Soc. Lond. A 457, No. 2007 (2001) 695-715.
[M237]
Cam van Quach Hongler. On the nullification writhe, the signature and the chirality of alternating links.
Journal of Knot Theory and Its Ramifications 10, No. 4 (2001) 537-545.
[M238]
W.F.Pohl. DNA and differential geometry.
The Mathematical Intelligencer 3 (1980) 20-27.
[M239]
W.F.Pohl, G.W.Roberts. Topological considerations in the theory of replication of DNA.
J. Math. Biology 6 (1978) 383-402.
[M240]
S.Przybyl, P.Pieranski. Helical close packings of ideal ropes.
The European Physical Journal E 4, No. 4, (2001) 445-449.
[M241]
D.Cimasoni. Computing the writhe of a knot.
Journal of Knot Theory and Its Ramifications 10, No. 3, May (2001) 387-395.
[M242]
E.J.Janse van Rensburg, E.Orlandini, D.W.Sumners, M.C.Tesi, S.G.Whittington. The writhe of knots in the cubic lattice.
Journal of Knot Theory and Its Ramifications 6, No. 1 (1997) 31-44.
[M243]
E.J.Janse van Rensburg, E.Orlandini, D.W.Sumners, M.C.Tesi, S.G.Whittington. The writhe of a self-avoiding polygon.
J. Phys. A: Math. Gen. 26, No. 19, (1993) L981-L986. DOI: 10.1088/0305-4470/26/19/002
[M244]
R.S.Manning, K.A.Hoffman. Stability of n-covered circles for elastic rods with constant planar intrinsic curvature.
Journal of Elasticity 62(1) (2001) 1-23. DOI: 10.1023/A:1010905411426
[M245]
T.A.Ivey, D.A.Singer. Knot types, homotopies and stability of closed elastic rods.
Proceedings of the London Mathematical Society 79(2) (1999) 429-450.
[M246]
G.H.M. van der Heijden, J.M.T. Thompson.
Helical and localised buckling in twisted rods: A unified analysis of the symmetric case.
Nonlinear Dynamics 21(1) (2000) 71-99.
[M247]
R.D.James. The equilibrium and post-buckling behavior of an elastic curve governed by
a non-convex energy.
Journal of Elasticity 11 No. 3, July (1981) 239-269.
[M248]
P.Vielsack. Eine allgemeine Theorie der Stabilitaet von Gleichgewichtszustaenden bei Staeben.
Ingenieur-Archiv 45 (1976) 115-129.
[M249]
P.Vielsack. Die Beruecksichtigung von Imperfektionen bei Staeben nach der Theorie der ersten Naeherung.
Bauingenieur 52 (1977) 469-471.
[M250]
P.Vielsack. Spatial bifurcation of a prestressed rod.
Journal of Applied Mechanics 49, June (1982) 443-444.
[M251]
P.Vielsack. On the difference between lateral buckling by bending and by torsion.
ZAMM 57 (1977) 196-197.
[M252]
P.Vielsack. Zur Instabilitaet ebener Biegeformen elastischer Staebe.
ZAMM 56 (1976) T80-T81.
[M253]
P.Vielsack. Ein Beitrag zum Problem des tordierten Stabes.
ZAMM 56 (1976) 437-439.
[M254]
P.Vielsack. Der gebogene und gedrueckte Stab, ein Beispiel zur Beruecksichtigung
des Grundverformungszustandes elastischer Systeme.
Acta Mechanica 25 (1976) 95-104.
[M255]
P.Vielsack. Lateral stability of arches, an illustration of perturbation techniques in the elastic stability.
Mech. Res. Comm. 2 (1975) 31-34.
[M256]
A.C.Maggs. Writhing geometry of stiff polymers and scattered light.
Proceedings of the International Conference on Geometry, Integrability and Nonlinearity
in Condensed Matter and Soft Condensed Matter Physics, Bansko, Bulgaria (2001) 4 p.
[M257]
M.A.Berger. Third-order link integrals.
J. Phys. A: Math. Gen. 23, No. 13, (1990) 2787-2793. DOI: 10.1088/0305-4470/23/13/017
[M258]
M.A.Berger. Third-order braid invariants.
J. Phys. A: Math. Gen. 24, No. 17, (1991) 4027-4036. DOI: 10.1088/0305-4470/24/17/019
[M259]
M.A.Berger. Minimum crossing numbers for 3-braids.
J. Phys. A: Math. Gen. 27, No. 18, (1994) 6205-6213. DOI: 10.1088/0305-4470/27/18/028
[M260]
R.Montgomery. Isoholonomic problems and some applications.
Commun. Math. Phys. 128, No. 3, (1990) 565-592.
[M261]
R.A.Litherland, J.Simon, O.Durumeric, E.Rawdon. Thickness of knots.
Topology and its Applications 91, Issue 3, (1999) 233-244. DOI: 10.1016/S0166-8641(97)00210-1
[M262]
G.Buck, J.Simon. Thickness and crossing number of knots.
Topology and its Applications 91, Issue 3, (1999) 245-257. DOI: 10.1016/S0166-8641(97)00211-3
[M263]
B.Solomon. Tantrices of spherical curves.
Amer. Math. Monthly 103, No. 1, Jan. (1996) Jan. 30-39.
[M264]
A.A.Ilyukhin. On the deformation of the elastic curve [O deformacii uprugoj linii].
Mekhanika tverdogo tela issue 1, Kiev (1969) 128-138 [in Russian].
[M265]
A.A.Ilyukhin. Prostranstvennye Zadachi Nelinejnoj Teorii Uprugih Sterzhnej
[Spatial Problems of the Nonlinear Theory of Elastic Rods].
Naukova Dumka, Kiev (1979) [in Russian].
[M266]
E.L.Starostin. Closed loops of a thin elastic rod and its symmetric shapes with self-contacts.
In: Proceedings of the 16th IMACS World Congress, Lausanne (2000).
[M267]
J.H.Maddocks, R.S.Manning, R.C.Paffenroth, K.A.Rogers, J.A.Warner.
Interactive computation, parameter continuation, and visualization.
Int. Journal of Bifurcation and Chaos 7 (1997) 1699-1715.
[M268]
A.Jurisic. The Mercedes knot problem.
Amer. Math. Monthly 103, No. 9, Nov. (1996) Nov. 756-770.
[M269]
C.F.Barenghi, R.L.Ricca, D.C.Samuels. How tangled is a tangle?
Physica D 157 No. 3 (2001) 197-206.
[M270]
M.H.A.Newman. On a string problem of Dirac.
The Journal of the London Mathematical Society 17 (1942) 173-177.
[M271]
D.H.Gottlieb. All the way with Gauss-Bonnet and the sociology of mathematics.
Amer. Math. Monthly 103, No. 6, Jun.-Jul. (1996) 457-469.
[M272]
S.J.Lomonaco, Jr.
The modern legacies of Thomson's atomic vortex theory in classical electrodynamics.
In: "The Interface of Knots and Physics," edited by L.H. Kauffman, AMS PSAPM,
Vol. 51, Providence, RI (1996) 145-166.
[M273]
H.Reismann. Finite deformation of slender beams.
ZAMM 81, No. 7, (2001) 481-488. DOI: 10.1002/1521-4001(200107)81:7<481::AID-ZAMM481>3.0.CO;2-1
[M274]
L.Greenberg, J.H.Maddocks, K.A.Hoffman. The bordered operator and the index of a constrained critical point.
Mathematische Nachrichten 219, No. 1 (2000) 109-124. DOI: 10.1002/1522-2616(200011)219:1<109::AID-MANA109>3.0.CO;2-1
[M275]
E.L.Starostin. Equilibrium configurations of a thin elastic rod with self-contacts.
PAMM 1, No. 1 (2002) 137-138.
[M276]
G.R.Kneller, K.Hinsen. Generalized Euler equations for linked rigid bodies.
Phys. Rev. E 50 (1994) 1559-1564. DOI: 10.1103/PhysRevE.50.1559
[M277]
A.C.Maggs, V.Rossetto. Writhing photons and Berry Phases in polarized multiple scattering.
Phys. Rev. Lett. 87 (25) (2001) 253901-1-4. DOI: 10.1103/PhysRevLett.87.253901
[M278]
M.Lembo. On the free shapes of elastic rods.
Eur. J. Mech. A/Solids 20, Issue 3, May (2001) 469-483. DOI: 10.1016/S0997-7538(00)01136-0
[M279]
W.Seemann. Deformation of an elastic helix in contact with a rigid cylinder.
Archive of Applied Mechanics 67, Issue 1/2, (1996) 117-139. DOI: 10.1007/s004190050104
[M280]
S.Tabachnikov. Invariants of smooth triple point free plane curves.
Journal of Knot Theory and Its Ramifications 5, No. 4 (1996) 531-552.
[M281]
D.Miller, C.Benham. Fixed-writhe isotopies and the topological conservation law for closed, circular DNA.
Journal of Knot Theory and Its Ramifications 5, No. 6 (1996) 859-866.
[M282]
J.Cantarella, R.B.Kusner, J.M.Sullivan. On the minimum ropelength of knots and links.
Inventiones Mathematicae 150, Issue 2 (2002) 257-286. DOI: 10.1007/s00222-002-0234-y
[M283]
K.Arunakirinathar, B.D.Reddy. Mixed finite element methods for elastic rods of arbitrary geometry.
Numerische Mathematik 64, No. 1 (1993) 13-43.
[M284]
Pik-Yin Lai. Equilibrium sizes and dynamics of flexible knots.
Chinese J. of Physics 40, No. 2 (2002) 107-112.
[M285]
J.McCleary. On Jacobi's remarkable curve theorem.
Historia Mathematica 21, No. 3 (1994) 377-385. DOI: 10.1006/hmat.1994.1030
PII: S0315-0860(84)71030-5
[M286]
A.Yu.Grosberg, A.Feigel, Y.Rabin. Flory-type theory of a knotted ring polymer.
Phys. Rev. E 54, No. 6 (1996) 6618-6622.DOI: 10.1103/PhysRevE.54.6618
[M287]
M.Levi. Composition of rotations and parallel transport.
Nonlinearity 9, No. 2, (1996) 413-419. DOI: 10.1088/0951-7715/9/2/007
[M288]
H.K.Moffatt. Pulling the knot tight.
Nature 384, Nov. 14 (1996) 114. DOI: 10.1038/384114a0
[M289]
M.H.Freedman, Z.-X.He, Z.Wang. Moebius energy of knots and unknots.
Annals of Mathematics 139, No. 1, Jan. (1994) 1-50.
[M290]
K.Kimura, R.Hirota. Discretization of the Lagrange top.
J. Phys. Soc. Japan 69, No. 10 (2000) 3193-3199. DOI: 10.1143/JPSJ.69.3193
[M291]
V.Rossetto, A.C.Maggs. Writhing geometry of stiff polymers and scattered light.
The European Physical Journal B 29 (2002) 323-326. Published online 2 October 2002. DOI: 10.1140/epjb/e2002-00309-4
[M292]
R.Capovilla, C.Chryssomalakos, J.Guven. Elastica hypoarealis.
The European Physical Journal B29 (2002) 163-165. DOI: 10.1140/epjb/e2002-00278-6
[M293]
Y.Fukumoto. Three-dimensional motion of a vortex filament and its relation to the localized induction hierarchy.
The European Physical Journal B29 (2002) 167-171. DOI: 10.1140/epjb/e2002-00279-5
[M294]
J.Cantarella, R.B.Kusner, J.M.Sullivan. Tight knot values deviate from linear relations.
Nature392, 19 Mar. (1998) 237-238. DOI: 10.1038/32558
[M295]
R.E.Mickens. Difference Equations.
Van Nostrand Reinhold, New York, 2nd ed. [ISBN 0-442-00136-3] (1990).
[M296]
G.Golub, J.M.Ortega. Scientific Computing. An Introduction with Parallel Computing.
Academic Press [ISBN 0-12-289253-4] (1993).
[M297]
Physical Knots: Knotting, Linking, and Folding Geometric Objects in R^3.
AMS Special Session on Physical Knotting and Unknotting. Las Vegas, Nevada, April 21-22, 2001. Eds. J.A.Calvo, K.C.Millett, E.J.Rawdon.
Contemporary Mathematics 304. American Mathematical Society [ISBN 0-8218-3200-X] (2002).
[M298]
A.I.Lurie. Analytical Mechanics.
Springer [ISBN 3-540-42982-4] (2002).
[M299]
C.G.J.Jacobi. Demonstratio et amplificatio nova theorematis Gaussiani de curvatura integra trianguli in data superficiee lineis brevissimis formati.
In: C.G.J.Jacobi's Gesammelte Werke. 7r Bd. Chelsea Publishing Co. (1969) pp. 26-33.
1st publication: Crelle Journal fuer die reine and angewandte Mathematik 16 344-350.
[M300]
C.G.J.Jacobi. Ueber einige merkwuerdige curventheoreme.
In: C.G.J.Jacobi's Gesammelte Werke. 7r Bd. Chelsea Publishing Co. (1969) pp. 34-39.
1st publication: Schumacher Astronomische Nachrichten 20 No. 463, December (1842) 115-120.
[M301]
A.Thess, O.Zikanov, A.Nepomnyashchy. Finite-time singularity in the vortex dynamics of a string.
Phys. Rev. E 59, No. 3 (1999) 3637-3640. DOI: 10.1103/PhysRevE.59.3637
[M302]
A.Belmonte, M.J.Shelley, S.T.Eldakar, C.H.Wiggins. Dynamic patterns and self-knotting of a driven hanging chain.
Phys. Rev. Lett. 87, 10 September (2001) 114301-1-4. DOI: 10.1103/PhysRevLett.87.114301
[M303]
A.Doliwa, P.M.Santini. An elementary geometric characterization of the integrable motions of a curve.
Physics Letters A 185, Issue 4, 21 February (1994) 373-384. DOI: 10.1016/0375-9601(94)90170-8
[M304]
J.Langer, R.Perline. Local geometric invariants of integrable evolution equations.
Journal of Mathematical Physics 35, Issue 4, April (1994) 1732-1737. DOI: 10.1063/1.530567
[M305]
M.Lakshmanan. Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons.
Journal of Mathematical Physics 20, Issue 8, August (1979) 1667-1672. DOI: 10.1063/1.524273
[M306]
M.Lakshmanan. Erratum: Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons [J. Math. Phys. 20, 1667(1979)].
Journal of Mathematical Physics 21, Issue 6 (1980) 1552. DOI: 10.1063/1.524596
[M307]
J.R.Cash. Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations.
Proc. R. Soc. Lond. A 459, No. 2032 (2003) 797-815. DOI: 10.1098/rspa.2003.1130
[M308]
D.M.Stump, W.B.Fraser, K.E.Gates. The writhing of circular cross-section rods: undersea cables to DNA supercoils.
Proc. R. Soc. Lond. A 454, No. 1976 (1998) 2123-2156. DOI: 10.1098/rspa.1998.0252
[M309]
A.F.da Fonseca, M.A.M. de Aguiar. Solving the boundary value problem for finite Kirchhoff rods.
Physica D 181, Issues 1-2, 1 July (2003) 53-69. DOI: 10.1016/S0167-2789(03)00070-8
[M310]
V.Penna, M.Spera. Higher order linking numbers, curvature and holonomy.
Journal of Knot Theory and Its Ramifications 11, No. 5 (2002) 701-723.
DOI: 10.1142/S0218216502001913
[M311]
L.Mahadevan, J.B.Keller. The shape of a Moebius band.
Proc. R. Soc. Lond. A 440, No. 1908, Jan. 8 (1993) 149-162.
[M312]
A.R.Champneys, W.B.Fraser. The 'Indian rope trick' for a parametrically excited flexible rod: linearized analysis.
Proc. R. Soc. Lond. A 456 (2000) 553-570.
[M313]
P.Rogen, B.Fain. Automatic classification of protein structure by using Gauss integrals.
Proc. Natl. Acad. Sci. USA 100, No. 1, Jan. 7 (2003) 119-124. DOI: 10.1073/pnas.2636460100
[M314]
P.Rogen, H.Bohr. A new family of global protein shape descriptors.
Mathematical Biosciences 182, Issue 2, April (2003) 167-181. DOI: 10.1016/S0025-5564(02)00216-X
[M315]
P.Rogen. Gauss-Bonnet`s theorem and closed Frenet frames.
Geometriae Dedicata 73 (3), December (1998) 295-315.
[M316]
P.Rogen. Principal normal indicatrices of closed space curves.
Geometriae Dedicata 74 (1), January (1999) 49-60.
[M317]
P.Braß, C.Wenk. On the number of cylinders touching a ball.
Geometriae Dedicata 81 (1-3),July (2000) 281-284.
[M318]
J.H.Rubinstein, D.A.Thomas, J.Weng. Minimum networks for four points in space.
Geometriae Dedicata 93 (1), August (2002) 57-70.
[M319]
G.A.Arteca. Path-integral calculation of the mean number of overcrossings in an entangled polymer network.
J. Chem. Inf. Comput. Sci. 39 (3) (1999) 550-557. DOI: 10.1021/ci980144l
[M320]
R.Bott, C.Taubes. On the self-linking of knots.
Journal of Mathematical Physics 35, Issue 10, October (1994) 5247-5287. DOI: 10.1063/1.530750
[M321]
B.Audoly, A.Boudaoud. `Ruban à godets': an elastic model for ripples in plant leaves.
Comptes Rendus de Mécanique 330, Issue 12 (2002) 831-836. DOI: 10.1016/S1631-0721(02)01545-0
[M322]
G.G.Pereira, D.R.M.Williams. Crystalline toroidal globules of DNA and other semi-flexible polymers: Jumps in radius caused by hexagonal packing.
Europhys. Lett. 50 (4) (2000) 559-564. DOI: 10.1209/epl/i2000-00306-3
[M323]
R.S.Manning, K.A.Rogers, J.H.Maddocks. Isoperimetric conjugate points with application to the stability of DNA minicircles.
Proc. R. Soc. Lond. A 454, No. 1980 (1998) 3047-3074. DOI: 10.1098/rspa.1998.0291
[M324]
G.H.M. van der Heijden, A.R.Champneys, J.M.T.Thompson. Spatially complex localisation in twisted elastic rods constrained to a cylinder.
International Journal of Solids and Structures 39, Issue 7, Apr. (2002) 1863-1883. DOI: 10.1016/S0020-7683(01)00234-7
[M325]
L.Mahadevan, J.B.Keller. Coiling of flexible ropes.
Proc. R. Soc. Lond. A 452, No. 1996 (1998) 1679-1694.
[M326]
J.H.Michell. On the stability of a bent and twisted wire.
Messenger of Mathematics 19 (1889-90) 181-184.
[M327]
G. van der Heijden, J.M.T.Thompson, S.Neukirch. A variational approach to loaded ply structures.
Journal of Vibration and Control 9 (2003) 175-185.
[M328]
R.A.Fenn. Techniques of Geometric Topology.
Cambridge Univ. Press, Cambridge (1983).
[M329]
M.V.Berry. Classical adiabatic angles and quantal adiabatic phase.
J. Phys. A: Math. Gen. 18, No. 1, Jan. 11 (1985) 15-27. DOI: 10.1088/0305-4470/18/1/012
[M330]
G.H.M. van der Heijden, S.Neukirch, V.G.A. Goss, J.M.T.Thompson. Instability and self-contact phenomena in the writhing of clamped rods.
International Journal of Mechanical Sciences 45, Issue 1, Jan. (2003) 161-196. DOI: 10.1016/S0020-7403(02)00183-2
[M331]
W.S.Massey. Higher order linking numbers.
J. of Knot Theory and Its Ramifications 7, No. 3 (1998) 393-414.
[M332]
Jianyi Zhou, Jiancheng Zou, Jianzhong Pan. The basic invariants of long curve and closed curve perestroikas.
J. of Knot Theory and Its Ramifications 7, No. 4 (1998) 527-548.
[M333]
K.Selwat. The first order semilocal Vassiliev invarinats of plane curves.
J. of Knot Theory and Its Ramifications 7, No. 8 (1998) 1119-1138.
[M334]
A.Calini, T.Ivey. Baecklund transformations and knots of constant torsion.
J. of Knot Theory and Its Ramifications 7, No. 6 (1998) 719-746.
[M335]
K.Kuperberg. A nonparallel cylinder packing with postive density.
Mathematika 37 (1990) 324-331.
[M336]
A.Bezdek, W.Kuperberg. Maximum density space packing with congruent circular cylinders of infinite length.
Mathematika 37 (1990) 74-80.
[M337]
Y.Kats, D.A.Kessler, Y.Rabin. Frenet algorithm for simulations of fluctuating continuous elastic filaments.
Phys. Rev. E 65 (2002), 020801(R) (4 p.). DOI: 10.1103/PhysRevE.65.020801
[M338]
S.Hannenhalli, P.A.Pevzner. Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals.
Journal of the ACM 46, Issue 1, January (1999) 1-27. DOI: 10.1145/300515.300516
[M339]
Ming Li, Bin Ma, Lusheng Wang. On the closest string and substring problems.
Journal of the ACM 49, Issue 2, March (2002) 157-171. DOI: 10.1145/506147.506150
[M340]
G.Arreaga, R.Capovilla, C.Chryssomalakos, J.Guven. Area-constrained planar elastica.
arXiv: cond-mat/0103262 (2001) 25 p.
[M341]
X.Luo, K.Kokubo, K.Hongo, R.Xia. Cross-over of rope around drum in multi-layer.
Proceedings of the ASME Design Engineering Technical Conference, Atlanta, Georgia, September 13-16 (1998) 8 p.
[M342]
K.Satake, H.Honda. Evolution towards the solution of a shape optimization problem.
Forma 17, No. 3 (2002) 253-274.
[M343]
J.H.Maddocks, J.B.Keller. Ropes in equilibrium.
SIAM Journal on Applied Mathematics 47 (6) Dec. (1987) 1185-1200.
[M344]
A.Abrams, J.Cantarella, J.H.G.Fu, M.Ghomi, R.Howard. Circles minimize most knot energies.
Topology 42, No. 2 (2003) 381-394.
[M345]
M.Edelstein, B.Schwarz. On the length of linked curves.
Israel J. of Mathematics 23, No. 1 (1976) 94-95.
[M346]
J.Samuel, S.Sinha. Molecular elasticity and the geometric phase.
Phys. Rev. Lett. 90 (2003) 098305-1-4. DOI: 10.1103/PhysRevLett.90.098305
[M347]
G.Domokos, W.B.Fraser, I.Szeberényi. Symmetry-breaking bifurcations of the uplifted elastic strip.
Physica D 185, No. 2, (2003) 67-77. DOI: 10.1016/S0167-2789(03)00184-2
[M348]
F.Schuricht, H. von der Mosel. Characterization of ideal knots.
Calculus of Variations and Partial Differential Equations 19, No. 3, April (2004) 281-305. Published online: 1 July 2003. DOI: 10.1007/s00526-003-0216-y
[M349]
F.Schuricht, H. von der Mosel. Global curvature of rectifiable loops.
Mathematische Zeitschrift 243, No. 1, January (2003) 37-77. DOI: 10.1007/s00209-002-0448-0
[M350]
F.Schuricht, H. von der Mosel. Euler-Lagrange equations for nonlinearly elastic rods with self-contact.
Arch. Rat. Mech. Anal. 168, No. 1, June (2003) 35-82. DOI: 10.1007/s00205-003-0253-x
[M351]
J.D.Clark, W.B.Fraser, D.M.Stump. Modelling of tension in yarn package unwinding.
Journal of Engineering Mathematics 40, Issue 1, May (2001) 59-75.
[M352]
M.Atiyah, P.Sutcliffe. Polyhedra in physics, chemistry and geometry.
Milan Journal of Mathematics 71, No. 1, September (2003) 33-58. DOI: 10.1007/s00032-003-0014-1
[M353]
Y.Teshima, T.Ogawa. Dense packing of equal circles on a sphere by the minimum-zenith method: Symmetrical arrangement.
Forma 15, No. 4 (2000) 347-364.
[M354]
A.Heppes, L.Szab\'o. On the number of cylinders touching a ball.
Geometriae Dedicata 40 (1991) 111-116.
[M355]
A.Bezdek, W.Kuperberg. Placing and moving spheres in the gaps of a cylinder packing.
Elemente der Mathematik 46 (1991) 47-51.
[M356]
B.W.Clare, D.L.Kepert. The closest packing of equal circles on a sphere.
Proc. R. Soc. Lond. A 405, No. 1829, Jun. 9 (1986) 329-344.
[M357]
R.D.Kamien. The geometry of soft materials: a primer.
Reviews of Modern Physics 74, Issue 4, Oct. (2002) 953-971. DOI: 10.1103/RevModPhys.74.953
[M358]
A.Yu.Grosberg. Critical exponents for random knots.
Phys. Rev. Lett. 85, Issue 18, October 30 (2000) 3858-3861. DOI: 10.1103/PhysRevLett.85.3858
[M359]
A.Maritan, J.R.Banavar, J.H.Maddocks, O.Gonzalez. Self-interactions of strands and sheets.
Journal of Statistical Physics 110, Issue 1-2, January (2003) 35-50. DOI: doi:10.1023/A:1021010526495
[M360]
M.Atiyah, P.Sutcliffe. The geometry of point particles.
Proc. R. Soc. Lond. A 458, Number 2021, May 8 (2002) 1089 - 1115. DOI: 10.1098/rspa.2001.0913
[M361]
J.H.Conway, N.J.A.Sloane. Sphere Packings, Lattices and Groups.
Springer, 3rd ed. [ISBN 0-387-98585-9] (1999), LXXIV, 703 pp. 112 figs.
[M362]
M.Atiyah. Configurations of points.
Phil. Trans. R. Soc. Lond. A 359, Number 1784, July 15 (2001) 1375-1387. DOI: 10.1098/rsta.2001.0840
[M363]
M.V.Berry, J.M.Robbins. Indistinguishability for quantum particles: spin, statistics and the geometric phase.
Proc. R. Soc. Lond. A 453, Number 1963, August 8 (1997) 1771-1790.
[M364]
D.A.Kottwitz. The densest packing of equal circles on a sphere.
Acta Cryst. A 47 (1991) 158-165. DOI: 10.1107/S0108767390011370
[M365]
B.L.van der Waerden. Punkte auf der Kugel. Drei Zusätze.
Mathematische Annalen 125 (1952) 213-222.
[M366]
R.Bulirsch. Handbook series special functions. Numerical calculation of elliptic integrals and elliptic functions. II.
Numerische Mathematik 7 (1965) 353-354.
[M367]
A.Pocheau, B.Roman. Uniqueness of solutions for constrained Elastica.
Physica D 192, No. 3-4, Jun. 1 (2004) 161-186. DOI: 10.1016/j.physd.2003.12.013
[M368]
R.H.Plaut, S.Suherman, D.A.Dillard, B.E.Williams, L.T.Watson.
Deflections and buckling of a bent elastica in contact with a flat surface.
International Journal of Solids and Structures 36, Issue 8, Mar. (1999) 1209-1229. DOI: 10.1016/S0020-7683(97)00348-X
[M369]
G.Arreaga, R.Capovilla, C.Chryssomalakos, J.Guven. Area-constrained planar elastica.
Phys. Rev. E 65 (2002) 031801, 14 p. DOI: 10.1103/PhysRevE.65.031801
[M370]
B.Schnurr, F.Gittes, F.C.MacKintosh. Metastable intermediates in the condensation of semiflexible polymers.
Phys. Rev. E 65 (2002) 061904, 13 p. DOI: 10.1103/PhysRevE.65.061904
[M371]
D.A.Kessler, Y.Rabin. Stretching instability of helical springs.
Phys. Rev. Lett. 90 (2003) 024301, 14 p. DOI: 10.1103/PhysRevLett.90.024301
[M372]
G.S.Manning. Instability of a surface elastic line on an unnatural ramp.
Quarterly of applied mathematics 48, Issue 3, Sep. 1 (1990) 517-526.
[M373]
G.S.Manning. The winding of a relaxed elastic line on a cylinder.
Quarterly of applied mathematics 45, No. 4 (1987) 809-815.
[M374]
G.S.Manning. Relaxed elastic line on a curved surface.
Quarterly of applied mathematics 45 (1987) 515-527.
[M375]
F.Jülicher. The morphology of vesicles of higher topological genus: Conformal degeneracy and conformal modes.
J. Phys. II France 6 (1996) 1797-1824. DOI: 10.1051/jp2:1996161
[M376]
A.Montesi, M.Pasquali, F.C.MacKintosh. Collapse of a semiflexible polymer in poor solvent.
Phys. Rev. E 69 (2004) 021916, 10 p. DOI: 10.1103/PhysRevE.69.021916
[M377]
H.K.Nickerson, G.S.Manning. Intrinsic equations for a relaxed elastic line on an oriented surface.
Geometriae Dedicata 2 (1988) 127.
[M378]
M.Braun. Die elastische Linie als Problem der optimalen Steuerung.
ZAMM 73, 7/8 (1993) T722-T724.
[M379]
L.Euler. Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes,
sive Solutio problematis isoperimetrici latissimo sensu accepti. Auctore Leonhardo Eulero.
Lausannæ, Genevæ, apud Marcum-Michaelem Bousquet & Socios, (1744).
[M380]
P.Piera?ski, S.Przyby?, A.Stasiak. Tight open knots.
The European Physical Journal E 6, No. 2, (2001) 123-128.
[M381]
P.Piera?ski, S.Przyby?. Quasi-quantization of writhe in ideal knots.
The European Physical Journal E 6, No. 2, (2001) 117-121.
[M382]
R.Menes, N.Grønbech-Jensen, P.A.Pincus. Interactions between charged rods near salty surfaces.
The European Physical Journal E 1, No. 4, (2000) 345-349.
[M383]
A.Sch\"urmann. On extremal finite packings.
Discrete & Computational Geometry 28 (2002) 389-403. DOI: 10.1007/s00454-002-0747-6
[M384]
R.L.Bishop. There is more than one way to frame a curve.
Amer. Math. Monthly 82, No. 3, Mar. (1975) 246-251.
[M385]
Y.-C.Wong. On an explicit characterization of spherical curves.
Proceedings of the American Mathematical Society 34, No. 1, Jul. (1972) 239-242.
[M386]
Y.-C.Wong. A global formulation of the condition for a curve to lie on a sphere.
Monatshefte fuer Mathematik 67 (1963) 363-365.
[M387]
Dae Seop Kweon. On the knotted elastic curves.
Kangweon-Kyungki Math. Jour. 5, No. 2 (1997) 113-119.
[M388]
J.Langer, D.A.Singer. Curve straightening and a minimax argument for closed elastic curve.
Topology 24, Issue 1 (1985) 75-88. DOI: 10.1016/0040-9383(85)90046-1
[M389]
G.A.Costello. Theory of Wire Rope (Mechanical Engineering Series).
Springer Verlag, 2nd ed. (1997) ISBN: 0387982027.
[M390]
W.Fenchel. Über Krümmung und Windung geschlossener Raumkurven.
Mathematische Annalen 101 (1929) 238-252.
[M391]
J.J.Hebda, C.M.Tsau. Normal holonomy and writhing number of polynomial knots.
Pacific J. of Math. 204, No.1 (2002) 77-95.
[M392]
A.L.Kholodenko, T.A.Vilgis. Some geometrical and topological problems in polymer physics.
Physics Reports 298, Issues 5-6, May 1 (1998) 251-370. DOI: 10.1016/S0370-1573(97)00081-1
[M393]
P.K.Agarwal, H.Edelsbrunner, Y.Wang. Computing the writhing number of a polygonal knot.
Discrete & Computational Geometry 32 (2004) 37-53. DOI: 10.1007/s00454-004-2864-x
[M394]
M.H.Eggar. On White's formula. 611-615
Journal of Knot Theory and Its Ramifications 9, No. 5, (2000) 611-615. DOI: 10.1142/S0218216500000347
[M395]
O.Gonzalez, R. de La Llave. Existence of ideal knots.
Journal of Knot Theory and Its Ramifications 12, No. 1, (2003) 123-133. DOI: 10.1142/S0218216503002354
[M396]
Y.Diao. The lower bounds of the lengths of thick knots.
Journal of Knot Theory and Its Ramifications 12, No. 1, (2003) 1-16. DOI: 10.1142/S0218216503002275
[M397]
J.A.Kneissler. On spaces of connected graphs II: Relations in the Algebra \Lambda.
Journal of Knot Theory and Its Ramifications 12, No. 1, (2003) 667-674. DOI: 10.1142/S0218216501001074
[M398]
J.A.Kneissler. On spaces of connected graphs III: The ladder filtration.
Journal of Knot Theory and Its Ramifications 10, No. 5, (2001) 675-686. DOI: 10.1142/S0218216501001086
[M399]
P.K.Purohit, J.Kondev, R.Phillips. Force steps during viral DNA packaging?
Journal of Mechanics and Physics of Solids 51, Issues 11-12 (2003) 2239-2257. DOI: 10.1016/j.jmps.2003.09.016
[M400]
P.K.Purohit, M.M.Inamdar, P.D.Grayson, T.M.Squires, J.Kondev, R.Phillips. Forces during bacteriophage DNA packaging and ejection.
Biophysical J. 88, (2005) 851-866. DOI: 10.1529/biophysj.104.047134
[M401]
J.Langer. Recursion in curve geometry.
New York J. of Math. 5 (1999) 25-51.
[M402]
E.Orlandini, M.C.Tesi, S.G.Whittington. Adsorption of a directed polymer subject to an elongational force.
J. Phys. A: Math. Gen. 37, Feb. 6 (2004) 1535-1543. DOI: 10.1088/0305-4470/37/5/005
[M403]
P.Lévay. The geometry of entanglement: metrics, connections and the geometric phase.
J. Phys. A: Math. Gen. 37, Feb. 6 (2004) 1821-1841. DOI: 10.1088/0305-4470/37/5/024
[M404]
R.Bryant, P.Griffiths. Reduction for constrained variational problems and $\int k^2/2 ds$.
American Journal of Mathematics 108, No. 3, Jun. (1986) 525-570. DOI:
[M405]
J.Langer, R.Perline. Localized induction equation, Heisenberg chain, and nonlinear Schroedinger equation.
arXiv: solv-int/9404001 (1994) 10 p.
[M406]
M.Berger. A Panoramic View of Riemannian Geometry.
Springer [ISBN 3-540-65317-1] (2003) XXIII, 824 p.
[M407]
E.L.Starostin. Symmetric equilibria of a thin elastic rod with self-contacts.
Philosophical Transactions of the Royal Society. Series A 362, No. 1820 (2004) 1317-1334. DOI: 10.1098/rsta.2004.1388
[M408]
A.E.Huber, C.Viney. Supramolecular liquid crystallinity: Spherical coils of levan surrounding cylindrical rods of DNA.
Phys. Rev. Lett. 80, Issue 3, Jan. 19 (1998) 623-626. DOI: 10.1103/PhysRevLett.80.623
[M409]
A.B.Harris, R.D.Kamien, T C.Lubensky. Microscopic origin of cholesteric pitch.
Phys. Rev. Lett. 78, Issue 8, Feb. 24 (1997) 1476-1479. DOI: 10.1103/PhysRevLett.78.1476
[M410]
A.B.Harris, R.D.Kamien, T C.Lubensky. Erratum: Microscopic origin of cholesteric pitch.
Phys. Rev. Lett. 78, Issue 14, Apr. 7 (1997) 2867. DOI: 10.1103/PhysRevLett.78.2867.2
[M411]
A.M.Amilibia, J.J.N.Ballesteros. The self-linking number of a closed curve in R^n.
Journal of Knot Theory and Its Ramifications 9, No. 4, (2000) 491-503. DOI: 10.1142/S0218216500000268
[M412]
G.Kuperberg, K.Kuperberg, W.Kuperberg. Lattice packings with gap defects are not completely saturated.
Beiträge zur Algebra und Geometrie, Contributions to Algebra and Geometry 45, No. 1, (2004) 267-273.
[M413]
S.Sinha. Writhe distribution of stretched polymers.
Physical Review E 70 (2004) 011801-4. DOI: 10.1103/PhysRevE.70.011801
[M414]
M.P. do Carmo. Differential Geometry of Curves and Surfaces.
Prentice-Hall, Inc., Englewood Cliffs, New Jersey (1976).
[M415]
P.Oswald, M.Kléman. Défauts dans une mésophase hexagonale discotique : disinclinaisons et parois [Defects in the hexagonal discotic mesophase:
disclinations and walls].
Journal de Physique 42, No. 10, (1981) 1461-1472.
[M416]
M.Kléman, P.Oswald. Columnar discotic mesophases: elasticity, dislocations, instabilities.
Journal de Physique 43, No. 4, (1982) 655-662.
[M417]
M.Kléman. Defects in liquid crystals.
Rep. Prog. Phys. 52, No. 5, (1989) 555-654. DOI: 10.1088/0034-4885/52/5/002
[M418]
M.Kléman, C.Blanc. Curvature walls and focal conic domains in a lyotropic lamellar phase.
The European Physical Journal B 10, No. 1, July (1999) 53-60. DOI: 10.1007/s100510050829
[M419]
P.G. de Gennes, J.Prost. The physics of liquid crystals.
Clarendon Press, Oxford (1993).
[M420]
Y.Bouligand. Geometry of (non smectic) hexagonal mesophases.
Journal de Physique 41, Nov. (1980) 1297-1306.
[M421]
S.Nicolis, R.Mosseri, J.F.Sadoc. Polytopes with tangled disclinations.
Europhysics Letters 1, No. 11, June 1 (1986) 571-578.
[M422]
M.Kléman. Frustration in polymers.
J. de Physique Lettres 46, Aug. 15 (1985) L723-L732.
[M423]
G.Arreaga-García, H.Villegas-Brena, J.Saucedo-Morales. Geometrical equilibrium of curves: a showcase of helical numerical solutions.
J. Phys. A: Math. Gen. 37, No. 40, (2004) 9419-9438. DOI: 10.1088/0305-4470/37/40/007
[M424]
R.Capovilla, C.Chryssomalakos, J.Guven. Hamiltonians for curves.
J. Phys. A: Math. Gen. 35, No. 31, (2002) 6571-6587. DOI: 10.1088/0305-4470/35/31/304
[M425]
A.B.Harris, R.D.Kamien, T.C.Lubensky. Molecular chirality and chiral parameters.
Reviews of Modern Physics 71, No. 5, (1999) 1745-1757. DOI: 10.1103/RevModPhys.71.1745
[M426]
M.Gee, S.G.Whittington. Induced writhe in linked polygons.
J. Phys. A: Math. Gen. 30, No. 1, (1997) L1-L5. DOI: 10.1088/0305-4470/30/1/001
[M427]
M.Kleman. Developable domains in hexagonal liquid crystals.
Journal de Physique 41, Jul. (1980) 737-745.
[M428]
R.D.Kamien, T.C.Lubensky. Minimal surfaces, screw dislocations, and twist grain boundaries.
Phys. Rev. Lett. 82, Issue 14, Apr. 5 (1999) 2892-2895. DOI: 10.1103/PhysRevLett.82.2892
[M429]
J.R.Banavar, A.Flammini, D.Marenduzzo, A.Maritan, A.Trovato. Tubes near the edge of compactness and folded protein structures.
J. Phys.: Condens. Matter 15, No. 18, May 14 (2003) S1787-S1796. DOI: 10.1088/0953-8984/15/18/312
[M430]
E.J.Janse van Rensburg, E.Orlandini, M.C.Tesi, S.G.Whittington. Self-averaging in random self-interacting polygons.
J. Phys. A: Math. Gen. 34, No. 6, Feb. 16 (2001) L37-L44. DOI: 10.1088/0305-4470/34/6/102
[M431]
M.Berger, B.Gostiaux. Differential Geometry: Manifolds, Curves and Surfaces.
Springer (1988).
[M432]
H.H.Strey, V.A.Parsegian, R.Podgornik. Equation of state for polymer liquid crystals: Theory and experiment.
Phys. Rev. E 59, Issue 1, Jan. (1999) 999-1008. DOI: 10.1103/PhysRevE.59.999
[M433]
P.A.Wiggins, R.Phillips, P.C.Nelson. Exact theory of kinkable elastic polymers.
Phys. Rev. E 71 (2005) 021909-1-19. DOI: 10.1103/PhysRevE.71.021909
[M434]
M.Kléman. The coexistence of cholesteric and 2-dimensional orders.
J. de Physique 46, No. 7, Jul. (1985) 1193-1203.
[M435]
A.G.Cherstvy, R.G.Winkler. Complexation of semiflexible chains with oppositely charged cylinder.
Journal of Chemical Physics 120, No. 19, May 15 (2004) 9394-9400. DOI: 10.1063/1.1707015
[M436]
B.Pansu, E.Dubois-Violette. Textures of S^3 blue phase.
Journal de Physique 48, Nov. (1987) 1861-1869.
[M437]
B.Pansu, E.Dubois-Violette, R.Dandoloff. Disclination in the S^3 blue phase.
Journal de Physique 48, Feb. (1987) 305-317.
[M438]
B.Pansu, R.Dandoloff, E.Dubois-Violette. The double twist connection and the S^3 blue phase.
Journal de Physique 48, Feb. (1987) 297-304.
[M439]
S.Neukirch, G.H.M. van der Heijden. Geometry and mechanics of uniform n-plies: from engineering ropes to biological filaments.
Journal of Elasticity 69(1-3) (2002) 41-72. DOI: 10.1023/A:1027390700610
[M440]
C.Luo, O.M.O'Reilly. On the material symmetry of elastic rods.
Journal of Elasticity 60 (1) (2000) 35-56. DOI: 10.1023/A:1007624328427
[M441]
J.Langer, R.Perline. Poisson geometry of the filament equation.
J. Nonlinear Sci. 1 (1991) 71-93.
[M442]
X. Yin. Multiplicity and bifurcation of largely deformed elastic half-rings.
Archive of Applied Mechanics 73, No. 9-10, (2004) 618-626. DOI: 10.1007/s00419-003-0299-0
[M443]
C.-C.Lin, H.Schwetlick. On the geometric flow[s] of Kirchhoff elastic rods.
Max-Planck Institut fuer Mathematik in den Naturwissenschaften, Leipzig. Preprint No. 52 (2003) 17 p.
[M444]
K.Mikula, D.Sevcovic. Evolution of plane curves driven by a nonlinear function of curvature and anisotropy.
SIAM Journal on Applied Mathematics 61, No. 5, (2001) 1473-1501. DOI: 10.1137/S0036139999359288
[M445]
T.Shimizu. Wave equation for a cord and motion of curves.
J. Phys. Soc. Japan 62, No.8, (1993) 2956-2957. DOI: 10.1143/JPSJ.62.2956
[M446]
T.Kohyama. Buckling of a string in a plane.
Progress of Theoretical Physics 91, No. 5, (1994) 1039-1044.
[M447]
B.Schnurr, F.C.MacKintosh, D.R.M.Williams. Dynamical intermediates in the collapse
of semiflexible polymers in poor solvents.
Europhys. Lett. 51, No. 3, (2000) 279-285. DOI: 10.1209/epl/i2000-00349-x
[M448]
Y.Z.Liu, J.W.Zu. Stability and bifurcation of helical equilibrium of a thin elastic rod.
Acta Mechanica 167, No. 1-2 (2004) 29-39. DOI: 10.1007/s00707-003-0060-3
[M449]
A.Dua, T.A.Vilgis. Constrained dynamics of a polymer ring enclosing a constant area.
Phys. Rev. E 71 (2005) 021801-1-6. DOI: 10.1103/PhysRevE.71.021801
[M450]
D.M.Stump, G.H.M. van der Heijden. Birdcaging and the collapse of rods and cables in fixed-grip compression.
International Journal of Solids and Structures 38, Issues 24-25 (2001) 4265-4278. DOI: 10.1016/S0020-7683(00)00275-4
[M451]
A.Goriely, P.Shipman. Dynamics of helical strips.
Physical Review E 61, No. 4, (2000) 4508-4517. DOI: 10.1103/PhysRevE.61.4508
[M452]
S.Panyukov, Y.Rabin. Fluctuating elastic rings: Statics and dynamics.
Physical Review E 64, No. 1, (2001) 011909 (19 p.). DOI: 10.1103/PhysRevE.64.011909
[M453]
S.Panyukov, Y.Rabin. Fluctuating filaments: Statistical mechanics of helices.
Physical Review E 62, No. 5, (2000) 7135-7146. DOI: 10.1103/PhysRevE.62.7135
[M454]
P.Grayson, A.Evilevitch, M.M.Inamdar, P.K.Purohit, W.M.Gelbart, C.M.Knobler, R.Phillips.
The effect of genome length on ejection forces in bacteriophage lambda.
arXiv: q-bio.BM/0505042 (2005) 10 p.
[M455]
L.H.Kauffman. Minimal flat knotted ribbons.
arXiv: math.GT/0403028 (2004) 14 p.
[M456]
M.R.Dennis, J.H.Hannay. Geometry of C\u{a}lug\u{a}reanu's theorem.
Proc. R. Soc. Lond. A 461, No. 2062, Oct. 08 (2005) 3245-3254. DOI: 10.1098/rspa.2005.1527
[M457]
K.A.Hoffman. Stability results for constrained calculus of variations problems: an analysis of the twisted elastic loop.
Proc. R. Soc. Lond. A 461, No. 2057, May 08 (2005) 1357-1381. DOI: 10.1098/rspa.2004.1435
[M458]
E.L.Starostin. Comment on 'Cyclic rotations, contractibility and Gauss-Bonnet'.
J. Phys. A: Math. Gen. 35, Issue 29, 26 July (2002) 6183-6190. DOI: 10.1088/0305-4470/35/29/401
[M459]
A.A.Travers, J.M.T.Thompson. An introduction to the mechanics of DNA.
Philosophical Transactions of the Royal Society. Series A 362, No. 1820, 15 Jul. (2004) 1265-1279. DOI: 10.1098/rsta.2004.1392
[M460]
M.J.Linehan. Chiral polymer hexatics: A new twist on DNA.
Phys. Rev. Lett. 88, Issue 6, 11 Feb. (2002) 065502-1-4. DOI: 10.1103/PhysRevLett.88.065502
[M461]
Y.Z.Liu, Y.Xue. Formulation of Kirchhoff rod based on quasi-coordinates.
Technische Mechanik, Band 24, Heft 3-4, (2004) 206-210.
[M462] J.Samuel, S.Sinha. Elasticity of semiflexible polymers. Phys. Rev. E 66, Issue 5, (2002) 050801-1-4. DOI: 10.1103/PhysRevE.66.050801
[M463]
J.Samuel, S.Sinha. Inequivalence of statistical ensembles in single molecule measurements.
Phys. Rev. E 71, Issue 2, (2005) 021104-1-5. DOI: 10.1103/PhysRevE.71.021104
[M464]
M.R.Stukan, V.A.Ivanov, A.Yu.Grosberg, W.Paul, K.Binder. Chain length dependence of the state diagram of a single stiff-chain macromolecule: Theory and Monte Carlo simulation.
Journal of Chemical Physics 118, Issue 7, Feb. 15 (2003) 3392-3400. DOI: 10.1063/1.1536620
[M465]
T.T.Pham, S.K.Pattanayek, G.G.Pereira. Semiflexible grafted polymers in poor solvents: Toroidal, archway, and tower micelles.
Journal of Chemical Physics 123, 15 Jul. (2005) 034904-1-12. DOI: 10.1063/1.1955523
[M466]
A.Ghatak, L.Mahadevan. Solenoids and plectonemes in stretched and twisted elastomeric filaments.
Phys. Rev. Lett. 95, Issue 5, (2005) 057801-1-4. DOI: 10.1103/PhysRevLett.95.057801
[I002]
G.Domokos, P.Holmes. Euler's problem, Euler's method, and the standard map; or, the discrete charm of buckling.
J. Nonlinear Sci. 3 (1993) 109-151.
[I003]
G.Domokos. Digital modelling of chaotic motion.
Studia Scientiarum Mathematicarum Hungarica 25 (1990) 323-341.
[I004]
G.Domokos, P.Holmes. On non-inflectional solutions of non-uniform elasticae.
Int. J. Non-Linear Mechanics 28, No. 6 (1993) 677-685. DOI: 10.1016/0020-7462(93)90028-J
[I005]
P.Kent, J.Elgin. Noose bifurcation of periodic orbits.
Nonlinearity 4, No. 4, (1991) 1045-1061. DOI: 10.1088/0951-7715/4/4/002
[I006]
M.He'non. Chaotic scattering modelled by an inclined billiard.
Physica D 33 (1988) 132-156. DOI: 10.1016/S0167-2789(98)90015-X
[I007]
B.Ravindra, A.K.Mallik. Role of nonlinear dissipation in soft Duffing oscillators.
Physical Review E 49, No. 6 (1994) 4950-54. DOI: 10.1103/PhysRevE.49.4950
[I008]
M.Sandri. Numerical calculation of Lyapunov exponents.
The Mathematica Journal 6, issue 3 (1996) 78-84.
[I009]
D.J.Christini, J.J.Collins. Real-time, adaptive, model-independent
control of low-dimensional chaotic and nonchaotic dynamical systems.
1057-7122/97 IEEE 1997.
[I010]
D.Shilkrut. Stability of equilibrium states of nonlinear structures and
chaos phenomenon. Chaos in statics?
Int. J. of Bifurcation and Chaos 2, No. 2 (1992) 271-283.
[I011]
X.Tong, F.P.J.Rimrott. Numerical studies on chaotic planar motion of satellites in an elliptic orbit.
Chaos, Solitons & Fractals 1, No. 2 (1991) 179-186. DOI: 10.1016/0960-0779(91)90007-V
[I012]
C.Froeschlé, E.Lega. Twist angles: a method for distinguishing islands,
tori and weak chaotic orbits. Comparison with other methods of analysis.
Astronomy and Astrophysics 334 (1998) 355-362.
[I013]
S.Lenci, G.Rega. A procedure for reducing the chaotic response in an impact mechanical system.
Nonlinear Dynamics 15, No. 4 (1998) 391-409.
[I014]
A.R.Champneys, G.H.M. van der Heijden & J.M.T.Thompson. Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature.
Phil. Trans. of the R. Soc. of Lond. A 355, No. 1732 (1997) 2151-2174. DOI: 10.1098/rsta.1997.0115
[I015]
G.H.M. van der Heijden, A.R.Champneys & J.M.T.Thompson. The spatial
complexity of localized buckling in rods with non-circular cross section.
SIAM Journal on Applied Mathematics 59, No. 1, Sep.-Oct.(1998) 198-221.
[I016]
J.M.T.Thompson, G.H.M. van der Heijden. Homoclinic orbits, spatial chaos and localized buckling.
In: Proceedings of IUTAM Symposium "Applications of Nonlinear and Chaotic Dynamics in Mechanics", Cornell Univ., 27 July - 1 Aug. (1997), ed. F.C.Moon, Kluwer.
[I018]
C.Beck. Physical meaning for Mandelbrot and Julia sets.
Physica D 125, Issues 3-4, 15 Jan. (1999) 171-182. DOI: 10.1016/S0167-2789(98)00243-7
[I019]
M.V.Berry. Regularity and chaos in classical mechanics, illustrated by three deformations of a circular 'billiard'.
Eur. J. Phys. 2 (1981) 91-102.
[I020]
L.-Q.Chen, Y.-Z.Liu. Controlling chaotic attitude motion of spacecraft by the input-output linearization.
ZAMM 80, No. 10, (2000) 701-704. DOI: 10.1002/1521-4001(200010)80:10<701::AID-ZAMM701>3.0.CO;2-Y
[I021]
O.Gonzalez. Mechanical systems subject to holonomic constraints: Differential-algebraic formulations and conservative integration.
Physica D 132 (1999) 165-174.
[I022]
K.Ramasubramanian, M.S.Sriram. A comparative study of computation of Lyapunov spectra with different algorithms.
Physica D 139 (2000) 72-86.
[I023]
A.Ohlhoff, P.H.Richter. Forces in the double pendulum.
ZAMM 80, no. 8 (2000) 517-534. DOI: 10.1002/1521-4001(200008)80:8<517::AID-ZAMM517>3.0.CO;2-1
[I024]
R.H.Knapp. Helical wire stresses in bent cables.
Transactions of the ASME, J. of Offshore Mechanics and Arctic Engineering 110, Feb. (1988) 55-61.
[I025]
T.T.Le, R.H.Knapp. A finite element model for cables with nonsymmetrical geometry and loads.
Transactions of the ASME, J. of Offshore Mechanics and Arctic Engineering 116, Feb. (1994) 14-20.
[I026]
R.H.Knapp, E.Y.C.Chiu. Tension fatigue model for helically armored cables.
Transactions of the ASME, J. of Energy Resources Technology 110, Mar. (1988) 12-18.
[I027]
R.H.Knapp. Derivation of a new stiffness matrix for helically
armoured cables considering tension and torsion.
Int. J. for Numerical Methods in Engineering 14 (1979) 515-529.
[I028]
G.Cheng, Y.Z.Liu. Global dynamical behavior of a three-body system
with flexible connection in the gravitational field.
Archive of Applied Mechanics 69, Issue 1, (1999) 47-54. DOI: 10.1007/s004190050203
[I029]
G.Cheng, Y.Z.Liu. Chaotic motion of a magnetic rigid satellite in an orbit near the equatorial plane of the Earth.
Technische Mechanik, Band 19, Heft 2 (1999) 197-201.
[I030]
G.Cheng, Y.Z.Liu. Chaotic motion of an asymmetric gyrostat in the magnetic field of the earth.
Acta Mechanica 141, Issue 3-4 (2000) 125-134.
[I031]
J.H.Peng, Y.Z.Liu. Chaotic motion of a tethered satellite system.
Technische Mechanik, Band 16, Heft 4 (1996) 327-331.
[I032]
L.-Q.Chen, Y.-Z.Liu. Chaotic attitude motion of a class of spacecraft on an elliptic orbit.
Technische Mechanik, Band 18, Heft 1 (1998) 41-44.
[I033]
W.F.Ford, J.A.Pennline. Accelerated convergence in Newton's method.
SIAM Review 38, No. 4, Dec. (1996) 658-659. DOI: 10.1137/S0036144594292972
[I034]
S.Theodossiades, S.Natsiavas. Dynamics of gear-pair systems with backlash.
In: Dynamics of vibro-impact systems: proceedings of the Euromech
Colloquium 15-18 September 1998, ed. V.I.Babitsky, Springer (1999) 69-78.
[I035]
A.P.Ivanov. Stability of periodic motions in systems with unilateral constraints
In: Dynamics of vibro-impact systems: proceedings of the Euromech
Colloquium 15-18 September 1998, ed. V.I.Babitsky, Springer (1999) 119-126.
[I036]
V.Sh.Burd, V.L.Krupenin. On the calculation of resonance oscillations of the
vibro-impact systems by the averaging technique.
In: Dynamics of vibro-impact systems: proceedings of the Euromech Colloquium 15-18 September 1998, ed. V.I.Babitsky, Springer (1999) 127-135.
[I037]
S.Lenci, G.Rega. Interaction between impulses and impacts in the nonlinear dynamics of an impacting system: a non-classical bifurcation.
In: Dynamics of vibro-impact systems: proceedings of the Euromech
Colloquium 15-18 September 1998, ed. V.I.Babitsky, Springer (1999) 167-176.
[I038]
A.P.Kovacs. Stiction modeling: first order differential equation approximation for nonholonomic inequality constraint.
In: Dynamics of vibro-impact systems: proceedings of the Euromech Colloquium 15-18 September 1998, ed. V.I.Babitsky, Springer (1999) 241-250.
[I039]
V.S.Sergeev. Periodic motions of a heavy, rigid, dynamically most symmetric body with a fixed point.
PMM USSR 47, No. 1 (1984) 130-133 [Russ.: Prikl. Matem. Mekhan. 47, No. 1 (1983) 163-166].
[I040]
F.Juelicher, U.Seifert. Shape equations for axisymmetric vesicles: A clarification.
Phys. Rev. E 49, No. 5, May (1994) 4728-4731. DOI: 10.1103/PhysRevE.49.4728
[I041]
M.Levi. Geometric phases in the motion of rigid bodies.
Arch. Rational Mech. Anal. 122 (1993) 213-229.
[I042]
G.Ka´rolyi, G.Domokos. Symbolic dynamics of infinite depth: finding global invariants for BVPs.
Physica D 134, Issue 3, 15 Nov. (1999) 316-336. DOI: 10.1016/S0167-2789(99)00132-3
[I043]
A.Broman. Holditchs sats "ar n°agot djupare "an Holditch trodde
°r 1858 [Holditch's theorem is somewhat deeper than Holditch thought in 1858].
Normat (1979) 89-100 [in Swedish, engl. abstract].
[I044]
E.D.Fotinitch. "Curling" - the extreme form of equilibrium of the
flexed-twisted bar [Svivka - krajnyaya forma ravnovesiya izognuto-zakruchennogo sterzhnya].
Mekhanika tverdogo tela (MTT) 3 (1989) 188-190 [in Russian].
[I045]
O.Giering. Perlen der Geometrie - Beispiele aus drei Jahrtausenden.
Technische Universitaet Muenchen, Report TUM-M9710, Juli (1997) 19 S.
[I046]
P.E.Rapp, T.I.Schmah, A.I.Mees. Models of knowing and the investigation of dynamical systems.
Physica D 132 (1999) 133-149.
[I047]
V.V.Kozlov. Two-link billiard trajectories: extremal properties and stability.
J. Appl. Maths Mechs 64, No. 6 (2000) 903-907
[Prikl. Mat. Mekh. 64, No. 6 (2000) 942-946].
[I048]
V.I.Gulyajev, A.L.Zubritskaya, V.L.Koshkin. Universal sequence of period doubling bifurcations
of the satellite oscillations on elliptic orbit [Universal'naya posledovatel'nost' bifurkacij
udvoeniya perioda kolebanij sputnika na ellipticheskoj orbite].
Mekhanika tverdogo tela (MTT) 3 (1989) 3-8 [in Russian].
[I049]
B.Langerock. Nonholonomic mechanics and connections over a bundle map.
J. Phys. A: Math. Gen. 34, No. 44, Nov. 9 (2001) L609-L615. DOI: :10.1088/0305-4470/34/44/102
[I050]
S.Datta, J.K.Bhattacharjee. Calculation of Lyapunov exponent using an equivalent stochastic system.
J. Phys. A: Math. Gen. 34, No. 44, Nov. 9 (2001) L603-L608. DOI: 10.1088/0305-4470/34/44/101
[I051]
N.S,Skantzos, J. van Mourik, A.C.C.Coolen. A solvable model of secondary structure formation in random hetero-polymers.
J. Phys. A: Math. Gen. 34, No. 21, Jun. 1 (2001) 4437-4457. DOI: 10.1088/0305-4470/34/21/303
[I052]
T.Kozlova. Billiard systems with polynomial integrals of third and fourth degree.
J. Phys. A: Math. Gen. 34, No. 11, Mar. 23 (2001) 2121-2124. DOI: 10.1088/0305-4470/34/11/305
[I053]
M.A.Berger. Hamiltonian dynamics generated by Vassiliev invariants.
J. Phys. A: Math. Gen. 34, No. 7, Feb. 23 (2001) 1363-1374. DOI: 10.1088/0305-4470/34/7/310
[I054]
L.E.Dubins. On curves of minimal length with a constraint on average curvature,
and with prescribed initial and terminal positions and tangents.
Amer. J. Math. 79, No. 3 (1957) 497-516.
[I055]
J.F.Sadoc. Helices and helix packings derived from the {3, 3, 5} polytope.
The European Physical Journal E 5, No. 5, (2001) 575-582.
[I056]
R.Perline. Non-Euclidean flashlights.
Amer. Math. Monthly 103, No. 5, May (1996) 377-385.
[I057]
M.Naylor. Golden, √2, and Pi Flowers: A Spiral Story.
Mathematics Magazine, June (2002).
[I058]
S.R.Dunbar, R.J.C.Bosman, S.E.M.Nooij. The track of a bicycle back tire.
Mathematics Magazine October (2001).
[I059]
J.Lang, S.Mick, O.Roeschel. The rigidity rate of positions of Stewart-Gough platforms.
Journal for Geometry and Graphics 5 No. 2 (2001) 121-132.
[I060]
V.N.Nosov, A.V.Troitskii, V.A.Troitskii. Optimizing the motion of two-axle trucks.
Soviet Machine Science [ISSN 0739-8999], No. 4 (1987) 57-62 [in Russian: Mashinovedenie, No.4 (1987) 63-68].
[I061]
H.Kragh. The vortex atom: A Victorian theory of everything.
Centaurus [ISSN 0008-8994]www.blackwellmunksgaard.com/centaurus 44 (2002) 32-114.
DOI: 10.1034/j.1600-0498.2002.440102.x
[I062]
A.Malevanets, R.Kapral. Links, knots, and knotted labyrinths in bistable systems.
Phys. Rev. Lett. 77 No. 4 (1996) 767-770. DOI: 10.1103/PhysRevLett.77.767
[I063]
S.D.Guest. Tensegrities and rotating rings of tetrahedra: a symmetry viewpoint of structural mechanics.
Philosophical Transactions: Mathematical, Physical & Engineering Sciences 358, No. 1765 (2000) 229-243. DOI: 10.1098/rsta.2000.0529
[I064]
S.V.Jablan. Are Borromean links so rare?
Forma 14, No. 4 (1999) 269-277.
[I065]
S.S.Antman. The simple pendulum is not so simple.
SIAM Review 40, No. 4 (1998) 927-930. PII. S0036144597323763DOI: 10.1137/S0036144597323763
[I066]
A.P.Knoerr. A dynamical proof of the method of Lagrange.
SIAM Review 40, No. 4 (1998) 941-944. PII. S003614459732833XDOI: 10.1137/S003614459732833X
[I067]
M.Ben Amar, Y.Pomeau. Crumpled paper.
Proc. R. Soc. Lond. A 453, No. 1959 (1997) 729-755. DOI: 10.1098/rspa.1997.0041
[I068]
R.H.Knapp, S.Das, T.A.Shimabukuro. Computer-aided design of cables for optimal performance - Geometric modeling and finite element software for structural design of cables.
Sea Technology 43 (7), Jul (2002) 41-45.
[I069]
G.J.Olsder. Bicycle routing for maximum suntan.
SIAM Review 45 (2) 345-358. DOI: 10.1137/S003614450139612
[I070]
B.Cipra, P.Dini, S.Kennedy, A.Kolan. Stability of one-dimensional inelastic collission sequences of four balls.
Physica D 125, Issues 3-4, Jan. 15 (1999) 183-200. DOI: 10.1016/S0167-2789(98)00248-6
[I071]
C.Ziehmann, L.A.Smith, J.Kurths. The bootstrap and Lyapunov exponents in deterministic chaos.
Physica D 126, Issues 1-2, Feb. 1 (1999) 49-59. DOI: 10.1016/S0167-2789(98)00256-5
[I072]
W.-D.Chang, N.D.Kazarinoff. Euler-Poisson equations and existence of quasi-periodic motions of heavy tops.
Physica D 91, Issue 4, Apr. 1 (1996) 406-412. DOI: 10.1016/0167-2789(95)00259-6
[I073]
H.G\"umral. Helicity invariants in 3D: kinematical aspects.
Physica D139, Issues 3-4, May 15 (2000) 335-359. DOI: 10.1016/S0167-2789(99)00239-0
[I074]
D.J.Tritton, M.Groves. Lyapunov exponents for the Miles' spherical pendulum equations.
Physica D126, Issues 1-2, 1 Feb. (1999) 83-98. DOI: 10.1016/S0167-2789(98)00263-2
[I075]
A.N.Pargellis. The spontaneous generation of digital "Life".
Physica D91, Issues 1-2, 1 Mar. (1996) 86-96. DOI: 10.1016/0167-2789(95)00268-5
[I076]
R.Koch, C.Engelhardt. Closed space curves of constant curvature consisting of arcs of circular helices.
Journal for Geometry and Graphics 2, No. 1 (1998) 17-31.
[I077]
M.J.Keil, J.Rodriguez. A method for generating compound spring element curves.
Journal for Geometry and Graphics 3, No. 1 (1999) 67-76.
[I078]
B.Kawohl. Symmetry or not?
The Mathematical Intelligencer 20, No. 2 (1998) 16-22.
[I079]
P.R.Cromwell, E.Beltrami, M.Rampichini. The Borromean rings.
The Mathematical Intelligencer 20, No. 1 (1998) 53-62.
[I080]
A.Aissani, M.Chipot, S.Fouad. On the deformation of an elastic wire by one or two heavy disks.
Archiv der Mathematik 76, No. 6, June (2001) 467-480.
[I081]
C.M.Elliot, A.Friedman. The contact set of a rigid body partially supported by a membrane.
Nonlinear Analysis 10, Issue 3, March (1986) 251-276. DOI: 10.1016/0362-546X(86)90003-9
[I082]
J.P.Duncan, J.L.Duncan. Folded developables.
Proc. R. Soc. Lond. A 383, No. 1784, Sep. 8 (1982) 191-205.
[I083]
W.Stromquist. Inscribed squares and square-like quadrilaterals in closed curves.
Mathematika 36, No. 72 (1989) 187-197.
[I084]
N.C.Seeman, C.Mao, W.Sun. DNA Borromean rings.
The Mathematical Intelligencer 20, No. 3 (1998) 3.
[I085]
H.K.Moffatt, Y.Shimomura. Spinning eggs - a paradox resolved.
Nature 416, Mar. 28 (2002) 385-386.
[I086]
J.Angelos, G.Grossman, Y.Ionin, E.Kaufman, T.Lenker, L.Rakesh. Packability of five spheres on a sphere implies packability of six.
American Mathematical Monthly 103, No. 10, Dec. (1996) 894-896.
[I087]
J.L.Casti. Five more golden rules: knots, codes, chaos and other great theories of 20th-century mathematics.
Wiley, New York (2000) 268 p.
[I088]
D.Xu. Hannay angle in an LCR circuit with time-dependent inductance, capacity and resistance.
J. Phys. A: Math. Gen. 35, No. 29, Jul. 26 (2002) L455-L457. DOI: 10.1088/0305-4470/35/29/104
[I089]
J.H.Hannay. Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian.
J. Phys. A: Math. Gen. 18, No. 2, Feb. 1 (1985) 221-230. DOI: 10.1088/0305-4470/18/2/011
[I090]
A.K.Pati. Adiabatic Berry phase and Hannay angle for open paths.
Annals of Physics 270, Issue 1, 20 November (1998) 178-197. DOI: 10.1006/aphy.1998.5850
[I091]
H.Kaplan, R.Shamir, R.E.Tarjan. A faster and simpler algorithm for sorting signed permutations by reversals.
SIAM J. Comput. 29, No. 3, (1999) 880-892. DOI: 10.1137/S0097539798334207
[I092]
R.M.Robinson. Arrangement of 24 points on a sphere.
Mathematische Annalen 144 (1961) 17-48.
[I093]
G.D.Birkhoff. Dynamical Systems.
American Mathematical Society (1927) 305 pp.
[I094]
T.F.Tokieda. Mechanical ideas in geometry.
American Mathematical Monthly 105, No. 8, Oct. (1998) 697-703.
[I095]
R.W.Hamming. Mathematics on a distant planet.
American Mathematical Monthly 105, No. 7, Aug.-Sep. (1998) 640-650.
[I096]
T.F.Tokieda. The hopping hoop.
American Mathematical Monthly 104, No. 2, Feb. (1997) 152-154.
[I097]
D.Fallis. Mathematical proof and the reliability of DNA evidence.
American Mathematical Monthly 103, No. 6, Jun.-Jul. (1996) 491-497.
[I098]
R.G.Bartle. Return to the Riemann integral.
American Mathematical Monthly 103, No. 8, Oct. (1996) 625-632.
[I099]
M.Carson. Wavelets and molecular structure.
Journal of Computer-Aided Molecular Design 10 (4)(1996) 273-283.
[I100]
A.A.Kozhevnikov. Gauge vortex dynamics at finite mass of bosonic fields.
Phys. Rev. D 59, Issue 8, Apr. 15 (1999) 085003, 5 p. DOI: 10.1103/PhysRevD.59.085003
[I101]
A.A.Kozhevnikov. Erratum: Gauge vortex dynamics at finite mass of bosonic fields [Phys. Rev. D 59, 085003 (1999)].
Phys. Rev. D 60, Issue 10, Nov. 15 (1999) 109904, 1 p. DOI: 10.1103/PhysRevD.60.109904
[I102]
D.P.Arovas, Y.Lyanda-Geller. Non-Abelian geometric phases and conductance of spin-3/2 holes.
Phys. Rev. B 57, Issue 19, May 15 (1998) 12302-12305. DOI: 10.1103/PhysRevB.57.12302
[I103]
L.Fraiture, K.Spindler. Spherical goniometry and spacecraft attitude determination.
Elemente der Mathematik 57, Issue 4 (2002) 137-157.
[I104]
Z.Csahók, C.Misbah, F.Rioual, A.Valance. Dynamics of aeolian sand ripples.
The European Physical Journal E 3, No. 1, (2000) 71-86.
[I105]
O.Farago, Y.Kantor. The elastic behavior of entropic "fisherman's net".
The European Physical Journal E 3, No. 3, (2000) 253-258.
[I106]
M.Govin, H.R.Jauslin, M.Cibils. Julia sets in iterative KAM methods for eigenvalue problems.
Chaos, Solitons & Fractals 9, No. 11 (1998) 1835-1846. DOI: 10.1016/S0960-0779(97)00187-2
[I107]
U.Seifert, K.Berndl, R.Lipowsky. Shape transformations of vesicles:
Phase diagram for spontaneous- curvature and bilayer-coupling models.
Phys. Rev. A 44, No. 2, Jul. 15 (1991) 1182-1202.
DOI: 10.1103/PhysRevA.44.1182
[I108]
U.Seifert. Vesicles of toroidal topology.
Phys. Rev. Lett. 66, No. 18, May 6 (1991) 2404-2407.
DOI: 10.1103/PhysRevLett.66.2404
[I109]
L.Miao, B.Fourcade, M.Rao, M.Wortis, R.K.P.Zia. Equilibrium budding and vesiculation in the curvature model of fluid lipid vesicles.
Phys. Rev. A 43, No. 12, Jun. 15 (1991) 6843-6856.
DOI: 10.1103/PhysRevA.43.6843
[I110]
L.Fejes Toth. On the densest packing of spherical caps.
American Mathematical Monthly 56, No. 5, May (1949) 330-331.
[I111]
R.D.Kamien, A.J.Levine. Boundary effects in chiral polymer hexatics.
Phys. Rev. Lett. 84, Issue 14, Apr. 3 (2000) 3109-3112. DOI: 10.1103/PhysRevLett.84.3109
[I112]
W.Kung, R.D.Kamien. Topological constraints at the Theta-point: Closed loops at two loops.
Europhys. Lett. 64 (3) (2003) 323-329. DOI: 10.1209/epl/i2003-00177-6
[I113]
R.D.Kamien. Topology from the bottom up.
Science 299, Issue 5613, Mar. 14 (2003) 1671-1673. DOI: 10.1126/science.1082510
[I114]
J.Toner. Bond-orientationally-ordered phases that scatter light strongly.
Phys. Rev. A 27, Issue 2 (1983) 1157-1163. DOI: 10.1103/PhysRevA.27.1157
[I115]
R.D.Kamien. Liquids with chiral bond order.
J. Phys. II France 6 (1996) 461-475. DOI: 10.1051/jp2:1996192
[I116]
G.Ungar. Hexagonal columnar phases in polymers.
Prog. Colloid Polym. Sci. 87 (1992) 53-56.
[I117]
R.Dandoloff, W.J.Zakrzewski. Parallel transport along a space curve and related phases.
J. Phys. A: Math. Gen. 22, Jun. 7 (1989) L461-L466. DOI: 10.1088/0305-4470/22/11/003
[I118]
R.Balakrishnan, R.Dandoloff. Classical analogues of the Schrödinger and Heisenberg pictures in quantum mechanics using the Frenet frame of a
space curve: an example.
Eur. J. Phys. 25, May 14 (2004) 447-452. DOI: 10.1088/0143-0807/25/3/012
[I119]
R.Dandoloff, R.Balakrishnan, A.R.Bishop. Two-level systems: space curve formalism, Berry's phase and Gauss-Bonnet theorem.
J. Phys. A: Math. Gen. 25, Sep. 21 (1992) L1105-L1110. DOI: 10.1088/0305-4470/25/18/003
[I120]
J.C.Baez, R.Dandoloff. Topological lower bound on the energy of a twisted rod.
Physics Letters A 155, Issues 2-3, May 6 (1991) 145-147. DOI: 10.1016/0375-9601(91)90582-S
[I121]
A.Ramos. Poisson structures for reduced non-holonomic systems.
J. Phys. A: Math. Gen. 37, No. 17, Apr. 30 (2004) 4821-4842. DOI: 10.1088/0305-4470/37/17/012
[I122]
M.Horvat, T.Prosen. Uni-directional transport properties of a serpent billiard.
J. Phys. A: Math. Gen. 37, No. 9, Mar. 5 (2004) 3133-3145. DOI: 10.1088/0305-4470/37/9/006
[I123]
G.V.Michailov, M.W.Sereda, B.G.Brinkmann, T.M.Fischer, B.Haug, C.Birchmeier, L.Role, C.Lai, M.H.Schwab, K.-A.Nave. Axonal neuregulin-1 regulates myelin sheath thickness.
Science 304, Issue 5671, Apr. 30 (2004) 700-703. DOI: 10.1126/science.1095862
[I124]
B.La Scola, S.Audic, C.Robert, L.Jungang, X.de Lamballerie, M.Drancourt, R.Birtles, J.-M.Claverie, D.Raoult. A giant virus in amoebae.
Science 299, Issue 5615, Mar. 28 (2003) 2033. DOI: 10.1126/science.1081867
[I125]
A.Thess, R.Lee, P.Nikolaev, H.Dai, P.Petit, J.Robert, C.Xu, Y.H.Lee, S.G.Kim, A.G.Rinzler, D.T.Colbert, G.E.Scuseria, D.Tomanek, J.E.Fischer, R.E.Smalley.
Crystalline ropes of metallic carbon nanotubes.
Science 273, Issue 5274, Jul. 26 (1996) 483-487.
[I126]
Y.-K.Kwon, D.Tománek, Y.H.Lee, K.H.Lee, S.Saito. Do carbon nanotubes spin when bundled?
J. of Materials Res. 13, No. 9, Sep. (1998) 2363-2367.
[I127]
B.A.Korgel. Self-assembled nanocoils.
Science 303, Issue 5662, Feb. 27 (2004) 1308-1309. DOI: 10.1126/science.1095178
[I128]
X.Y.Kong, Y.Ding, R.Yang, Z.L.Wang. Single-crystal nanorings formed by epitaxial self-coiling of polar nanobelts.
Science 303, Issue 5662, Feb. 27 (2004) 1348-1351. DOI: 10.1126/science.1092356
[I129]
J.P.Sethna, D.C.Wright, N.D.Mermin. Relieving cholesteric frustration: The blue phase in a curved space.
Phys. Rev. Lett. 51, No. 6 (1983) 467-470. DOI: 10.1103/PhysRevLett.51.467
[I130]
S.Meiboom, J.P.Sethna, P.W.Anderson, W.F.Brinkman. Theory of the blue phase of cholesteric liquid crystals.
Phys. Rev. Lett. 46, Issue 18, May 4 (1981) 1216-1219. DOI: 10.1103/PhysRevLett.46.1216
[I131]
S.Meiboom, J.P.Sethna, P.W.Anderson, W.F.Brinkman. Erratum: Theory of the blue phase of cholesteric liquid crystals.
Phys. Rev. Lett. 46, Issue 25, Jun. 22 (1981) 1656. DOI: 10.1103/PhysRevLett.46.1656
[I132]
A.R.Bausch, M.J.Bowick, A.Cacciuto, A.D.Dinsmore, M.F.Hsu, D.R.Nelson, M.G.Nikolaides, A.Travesset, D.A.Weitz. Grain boundary scars and spherical crystallography.
Science 299, Issue 5613, Mar. 14 (2003) 1716-1718. DOI: 10.1126/science.1081160
[I133]
C.Liang, K.Mislow. On Borromean links.
Journal of Mathematical Chemistry 16 (1994) 27-35.
[I134]
M.Boutin. Numerically invariant signature curves.
International Journal of Computer Vision 40, No. 3, Dec. (2000) 235-248. DOI: 10.1023/A:1008139427340
[I135]
E.I.Kats, M.I.Monastyrskii. Minimal surfaces and fluctuations of membranes with nontrivial topology.
Journal of Experimental and Theoretical Physics 91, No. 6, (2000) 1279-1285. DOI: 10.1134/1.1342896
[I136]
I.R.Gatland. Nonholonomic constraints: A test case.
American Journal of Physics 72, No. 7, Jul. (2004) 941-942. DOI: 10.1119/1.1701844
[I137]
A.Yu.Loskutov, A.R.Dzhanoev. Suppression of chaos in the vicinity of a separatrix.
Journal of Experimental and Theoretical Physics 98, No. 5 (2004) 1045-1053. DOI: 10.1134/1.1767574
[I138]
D.Weaire. A short history of packing problems.
Forma 14, No. 4, (1999) 279-285.
[I139]
T.Funahashi, M.Yamada, H.Seki, H.Itoh. A technique for representing cloth shapes and generating 3-dimensional knitting shapes.
Forma 14, No. 3 (1999) 239-248.
[I140]
L.Bourgeois, L.Bursill, Y.Bando. The symmetry of polyhedral cages made from crystals.
Forma 14, No. 4 (1999) 295-302.
[I141]
S.Kinoshita, S.Yoshioka, Y.Fujii, N.Okamoto. Photophysics of structural color in the morpho butterflies.
Forma 17, No. 2 (2002) 103-121.
[I142]
K.Yamamori, H.Honda, J.Hasegawa. Street arrangement for computer-aided map deformation system.
Forma 17, No. 1 (2002) 55-72.
[I143]
T.Hirata, A.M.Posadas, A.Ogawa, Y.Harada. A probabilistic cellular automaton model for developing spatio-temporal patterns.
Forma 17, No. 1 (2002) 19-29.
[I144]
T.Oboshi, S.Kato, A.Mutoh, H.Itoh. A simulation study on the form of fish schooling for escape from predator.
Forma 18, No. 2 (2003) 119-131.
[I145]
K.Hayata. A comparative study of translated texts through the analysis of their word spectra: Application to a text in Botchan.
Forma 18, No. 2 (2003) 97-117.
[I146]
K.Engø, S.Faltinsen. Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy.
SIAM Journal on Numerical Analysis 39, No. 1, (2001) 128-145. DOI: 10.1137/S0036142999364212
[I147]
C.Maeurer, B.Juettler. Rational approximation of rotation minimizing frames using Pythagorean-hodograph cubics.
Journal for Geometry and Graphics 3 No. 2 (1999) 141-159.
[I148]
G.Weiss, K.Nestler, G.Meinl. Some Moebius-geometric theorems connected to Euclidean kinematics.
Journal for Geometry and Graphics 3 No. 2 (1999) 183-191.
[I149]
A.Karger. Classical geometry and computers.
Journal for Geometry and Graphics 2 No. 1 (1998) 7-15.
[I150]
A.Hirsch. Extension of the 'Villarceau-section' to surfaces of revolution with a generating conic.
Journal for Geometry and Graphics 6 No. 2 (2002) 121-132.
[I151]
H.Stachel. Remarks on A.Hirsch's paper concerning Villarceau sections.
Journal for Geometry and Graphics 6 No. 2 (2002) 133-140.
[I152]
D.I.McLaren, G.R.W.Quispel. Integral-preserving integrators.
J. Phys. A: Math. Gen. 37, No. 39, (2004) L489-L495. DOI: 10.1088/0305-4470/37/39/L01
[I153]
V.P.Zhdanov. Bifurcation in a generic model of intracellular viral kinetics.
J. Phys. A: Math. Gen. 37, No. 5, (2004) L63-L66. DOI: 10.1088/0305-4470/37/5/L03
[I154]
A.Mostafazadeh. Noncyclic geometric phase and its non-Abelian generalization.
J. Phys. A: Math. Gen. 32, No. 46, (1999) 8157-8171. DOI: 10.1088/0305-4470/32/46/312
[I155]
T.Mukherjee, M.Mukherjee, A.Kundu, B.Dutta-Roy. The Berry's phase, nonlocal potentials and coupled channel problems.
J. Phys. A: Math. Gen. 28, No. 8, (1995) 2353-2358. DOI: 10.1088/0305-4470/28/8/025
[I156]
K.Yu.Bliokh. The appearance of a geometric-type instability in dynamic systems with adiabatically varying parameters.
J. Phys. A: Math. Gen. 32, No. 13, (1999) 2551-2565. DOI: 10.1088/0305-4470/32/13/007
[I157]
B.Liao, T.Wang. General combinatorics of RNA secondary structure.
Mathematical Biosciences 191, Issue 1, Sep. (2004) 69-81. DOI: 10.1016/j.mbs.2004.05.004
[I158]
B.I.Halperin, D.R.Nelson. Theory of two-dimensional melting.
Phys. Rev. Lett. 41, Issue 2, Jul. 10 (1978) 121-124. DOI: 10.1103/PhysRevLett.41.121
[I159]
R.Tucknott, S.N.Yaliraki. Aggregation properties of carbon nanotubes at interfaces.
Chemical Physics 281, Issues 2-3, Aug. 1 (2002) 455-463. DOI: 10.1016/S0301-0104(02)00615-8
[I160]
J.Segert. Non-Abelian Berry's phase, accidental degeneracy, and angular momentum.
Journal of Mathematical Physics 28, Issue 9, Sep. (1987) 2102-2114. DOI: 10.1063/1.527422
[I161]
J.E.Marsden, T.S.Ratiu, J.Scheurle. Reduction theory and the Lagrange-Routh equations.
Journal of Mathematical Physics 41, Issue 6, Jun. (2000) 3379-3429. DOI: 10.1063/1.533317
[I162]
O.A.Chalykh, V.M.Goncharenko, A.P.Veselov. Multidimensional integrable Schrödinger operators with matrix potential.
Journal of Mathematical Physics 40, Issue 11, Nov. (1999) 5341-5355. DOI: 10.1063/1.533034
[I163]
A.Fernández, A.Colubri. Renormalized Hamiltonian for a peptide chain: Digitalizing the protein folding problem.
Journal of Mathematical Physics 41, Issue 5, May (2000) 2593-2603. DOI: 10.1063/1.533314
[I164]
A.Fernández, A.Colubri. Erratum: "Renormalized Hamiltonian for a peptide chain: Digitalizing the protein folding problem" [J. Math. Phys. 41, 2593 (2000)].
Journal of Mathematical Physics 41, Issue 8, Aug. (2000) 5871. DOI: 10.1063/1.533443
[I165]
O.Chalykh, M.Feigin, A.Veselov. New integrable generalizations of Calogero-Moser quantum problem.
Journal of Mathematical Physics 39, Issue 2, Feb. (1998) 695-703. DOI: 10.1063/1.532347
[I166]
J.Llibre, A.E.Teruel. Existence of Poincare maps in piecewise linear differential systems in R^n.
International Journal of Bifurcation and Chaos 14, No. 8 (2004) 2843-2851. DOI: 10.1142/S0218127404010874
[I167]
E.Fan. The zero curvature representation for hierarchies of nonlinear evolution equations.
Physics Letters A 274, Issues 3-4, Sep. 18 (2000) 135-142. DOI: 10.1016/S0375-9601(00)00536-3
[I168]
E.Fan, J.Zhang. Applications of the Jacobi elliptic function method to special-type nonlinear equations.
Physics Letters A 305, Issue 6, Dec. 16 (2002) 383-392. DOI: 10.1016/S0375-9601(02)01516-5
[I169]
G.A.Luna-Acosta, J.A.Méndez-Bermúdez, F.M.Izrailev. Quantum-classical correspondence for local density of states and eigenfunctions of a chaotic periodic billiard.
Physics Letters A 274, Issues 5-6, Sep. 25 (2000) 192-199. DOI: 10.1016/S0375-9601(00)00546-6
[I170]
A.M.Fedotov, N.B.Narozhny, Yu.E.Lozovik. 'Shaking' of an atom in a non-stationary cavity.
Physics Letters A 274, Issues 5-6, Sep. 25 (2000) 213-222. DOI: 10.1016/S0375-9601(00)00542-9
[I171]
A.M.Kamchatnov. Topological solitons in magnetohydrodynamics.
Soviet Physics - JETP 55, Issue 1, Jan. (1982) 69-73.
[I172]
E.A.Kuznetsov, V.P.Ruban. Collapse of vortex lines in hydrodynamics.
Journal of Experimental and Theoretical Physics 91, Issue 4, Oct. (2000) 775-785. DOI: 10.1134/1.1326970
[I173]
A.Tovbis, S.Venakides. The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases.
Physica D 146, Issues 1-4, Nov. 15 (2000) 150-164. DOI: 10.1016/S0167-2789(00)00126-3
[I174]
P.D.Woods, A.R.Champneys. Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation.
Physica D 129, Issues 3-4, May 15 (1999) 147-170. DOI: 10.1016/S0167-2789(98)00309-1
[I175]
B.V.Chirikov, F.Vivaldi. An algorithmic view of pseudochaos.
Physica D 129, Issues 3-4, May 15 (1999) 223-235. DOI: 10.1016/S0167-2789(98)00319-4
[I176]
M.Villarceau. Théorème sur le tore.
Nouvelles Annales de Mathématiques 7 (1848) 345-347.
[I177]
N.B.Tufillaro, T.A.Abbott, D.J.Griffiths. Swinging Atwood's machine.
American Journal of Physics 52, Issue 10, Oct. (1984) 895-903. DOI: 10.1119/1.13791
[I178]
N.B.Tufillaro. Motions of a swinging Atwood's machine.
J. de Physique 46, No. 9, Sep. (1985) 1495-1500.
[I179]
A.Majumdar, J.M.Robbins, M.Zyskin. Elastic energy of liquid crystals in convex polyhedra.
J. Phys. A: Math. Gen. 37, Issue 44, Nov. 5 (2004) L573-L580. DOI: 10.1088/0305-4470/37/44/L05
[I180]
J.Hartley, V.Vedral. Entropy as a function of geometric phase.
J. Phys. A: Math. Gen. 37, Issue 46, Nov. 19 (2004) 11259-11274. DOI: 10.1088/0305-4470/37/46/011
[I181]
Z.C.Tu, Z.C.Ou-Yang. A geometric theory on the elasticity of bio-membranes.
J. Phys. A: Math. Gen. 37, Issue 47, Nov. 26 (2004) 11407-11429. DOI: 10.1088/0305-4470/37/47/010
[I182]
I.Bakholdin, A.Il'ichev. Solitary-wave decay in a cold plasma.
Journal of Plasma Physics 60 (1998) 569-580.
[I183]
R.R.Netz. Buckling and nonlocal elasticity of charged membranes.
Phys. Rev. E 64, (2001) 051401-1-9. DOI: 10.1103/PhysRevE.64.051401
[I184]
J.V.Selinger, R.F.Bruinsma. Hexagonal and nematic phases of chains. I. Correlation functions.
Phys. Rev. A 43, Issue 6, Mar. 15 (1991) 2910-2921. DOI: 10.1103/PhysRevA.43.2910
[I185]
R.D.Kamien, P.Le Doussal, D.R.Nelson. Theory of directed polymers.
Phys. Rev. A 45, Issue 12, Jun. 15 (1992) 8727-8750. DOI: 10.1103/PhysRevA.45.8727
[I186]
T.L.Hill. A different approach to nanothermodynamics.
Nano Letters 1, Issue 5, (2001) 273-275. DOI: 10.1021/nl010027w
[I187]
J.Baranska, P.Pieranski, S.Przybyl, E.J.Rawdon. Length of the tightest trefoil knot.
Phys. Rev. E 70 (2004) 051810-1-9. DOI: 10.1103/PhysRevE.70.051810
[I188]
M.Henon. On the numerical computation of Poincaré maps.
Physica D 5, Issues 2-3, (1982) 412-414. DOI: 10.1016/0167-2789(82)90034-3
[I189]
A.Lamura, T.W.Burkhardt, G.Gompper. Helical polymer in cylindrical confining geometries.
Phys. Rev. E 70 (2004) 051804-1-7. DOI: 10.1103/PhysRevE.70.051804
[I190]
M.B.Short, J.C.Baygents, J.W.Beck, D.A.Stone, R.S.Toomey, R.E.Goldstein. Stalactite growth as a free-boundary problem: A geometric law and its platonic ideal.
Phys. Rev. Lett. 94, Issue 1, 14 Jan. (2005) 018501-1-4. DOI: 10.1103/PhysRevLett.94.018501
[I191]
H.Zhou, Y.Zhang. Hierarchical chain model of spider capture silk elasticity.
Phys. Rev. Lett. 94, Issue 2, 21 Jan. (2005) 028104-1-4. DOI: 10.1103/PhysRevLett.94.028104
[I192]
H.Steuer, S.Hess. Direct computation of the twist elastic coefficient of a nematic liquid crystal via Monte Carlo simulations.
Phys. Rev. Lett. 94, Issue 2, 21 Jan. (2005) 027802-1-4. DOI: 10.1103/PhysRevLett.94.027802
[I193]
J.C Lagarias, J.Hass, W.P.Thurston. Area inequalities for embedded disks spanning unknotted curves.
J. Differential Geom. 68, Issue 1, (2004) 1-29.
[I194]
B.Totaro. Space curves with nonzero torsion.
International Journal of Mathematics 1, Issue 1, (1990) 109-117. DOI: 10.1142/S0129167X90000083
[I195]
A.DeSimone, R.V.Kohn, S.Mueller, F.Otto. Magnetic microstructures - a paradigm of multiscale problems.
In: Chien Wei-zang (ed.), Proceedings of the 2nd International Conference on Nonlinear Mechanics,
Peking University Press, Beijing (1993) 188-190.
In: J.M.Ball, J.C.R.Hunt (eds.), Proceedings of the Fourth International Congress on Industrial & Applied Mathematics, Edinburgh,'99,
Oxford University Press (2001) 175-190.
[I196]
J.M.Robbins, M.V.Berry. A geometric phase for m = 0 spins.
J. Phys. A: Math. Gen. 27, No. 12, Jun. 21 (1994) L435-L438. DOI: 10.1088/0305-4470/27/12/007
[I197]
C.Benedek, M.G.Benedict. On an optical realization of the geometric phase, and the Bolyai-Lobachevsky plane.
Europhys. Lett. 39, Issue 4, (1997) 347-352. DOI: 10.1209/epl/i1997-00360-9
[I198]
Y.Snir, R.D.Kamien. Entropically driven helix formation.
Science 307, Issue 5712, Feb. 18 (2005) 1067. DOI: 10.1126/science.1106243
[I199]
G.T.Pickett, M.Gross, H.Okuyama. Spontaneous chirality in simple systems.
Phys. Rev. Lett. 85, Issue 17, Oct. 23 (2000) 3652-3655. DOI: 10.1103/PhysRevLett.85.3652
[I200]
N.Uchida. Orientational order in buckling elastic membranes.
Physica D: Nonlinear Phenomena , Issue ,Article in Press, Corrected Proof, Available online Feb. 10 (2005) . DOI: 10.1016/j.physd.2005.01.009
[I201]
J.P.Bagrow, H.D.Rozenfeld, E.M.Bollt, D.ben-Avraham. How famous is a scientist? - Famous to those who know us.
Europhys. Lett. 67, Issue 4, (2004) 511-516. DOI: 10.1209/epl/i2004-10104-y
[I202]
N.H.Cong. Continuous variable stepsize explicit pseudo two-step RK methods.
Journal of Computational and Applied Mathematics 101, Issues 1-2, Jan. 15 (1999) 105-116. DOI: 10.1016/S0377-0427(98)00199-X
[I203]
H.Noguchi, K.Yoshikawa. Morphological variation in a collapsed single homopolymer chain.
Journal of Chemical Physics 109, Issue 12, Sep. 22 (1998) 5070-5077. DOI: 10.1063/1.477121
[I204]
Li-Feng Xi. Criticality of plane arcs.
Nonlinearity 16, No. 2, (2003) 647-660. DOI: 10.1088/0951-7715/16/2/316
[I205]
D.Lewis, T.Ratiu, J.C.Simo, J.E.Marsden. The heavy top: a geometric treatment.
Nonlinearity 5, No. 1, (1992) 1-48. DOI: 10.1088/0951-7715/5/1/001
[I206]
H.R.Dullin, J.D.Meiss, D.Sterling. Generic twistless bifurcations.
Nonlinearity 13, No. 1, (2000) 203-224. DOI: 10.1088/0951-7715/13/1/310
[I207]
A.R.Champneys. Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems.
Nonlinearity 14, No. 1, (2001) 87-112. DOI: 10.1088/0951-7715/14/1/305
[I208]
A.Delshams, R.Ramírez-Ros. Poincaré - Melnikov - Arnold method for analytic planar maps.
Nonlinearity 9, No. 1, (1996) 1-26. DOI: 10.1088/0951-7715/9/1/001
[I209]
G.Benettin, F.Fassò. Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part I.
Nonlinearity 9, No. 1, (1996) 137-186. DOI: 10.1088/0951-7715/9/1/005
[I210]
M.Sieber. Billiard systems in three dimensions: the boundary integral equation and the trace formula.
Nonlinearity 11, No. 6, (1998) 1607-1623. DOI: 10.1088/0951-7715/11/6/010
[I211]
A.J.Spakowitz, Z.-G.Wang. Semiflexible polymer confined to a spherical surface.
Physical Review Letters 91, Oct. 17 (2003) 166102-1-4. DOI: 10.1103/PhysRevLett.91.166102
[I212]
R.V.Buniy, T.W.Kephart. A model of glueballs.
Physics Letters B 576, Issues 1-2, Dec. 4 (2003) 127-134. DOI: 10.1016/j.physletb.2003.09.081
[I213]
A.Holz. Topological properties of linked disclinations in anisotropic liquids.
J. Phys. A: Math. Gen. 24, No. 21, Nov. 7 (1991) L1259-L1267. DOI: 10.1088/0305-4470/24/21/003
[I214]
J.C.Martinez. Gauge fields associated with minimal surfaces and their Hopf invariants.
J. Phys. A: Math. Gen. 31, No. 45, Nov. 13, (1998) L743-L749. DOI: 10.1088/0305-4470/31/45/001
[I215]
S.J.Cantrill, K.S.Chichak, A.J.Peters, J.F.Stoddart. Nanoscale Borromean Rings.
Acc. Chem. Res. 38, Issue 1, (2005) 1-9. DOI: 10.1021/ar040226x
[I216]
Z.P.Bazant, Y.Zhou. Why did World Trade Center collapse? - Simple analysis.
Archive of Applied Mechanics 71, Issue 12, (2001) 802-806. DOI: 10.1007/s004190100189
[I217]
T.Wallin, P.Linse. Monte Carlo simulations of polyelectrolytes at charged micelles. 1. Effects of chain flexibility.
Langmuir 12, Issue 2, (1996) 305-314. DOI: 10.1021/la950362y
[I218]
A.A.Aigner, A.R.Champneys, V.M.Rothos. A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices.
Physica D , Issues 3-4, 15 Dec. (2003) 148-170. DOI: 10.1016/S0167-2789(03)00261-6
[I219]
P.-L.Buonoa, A.Palacios. A mathematical model of motorneuron dynamics in the heartbeat of the leech.
Physica D 188, Issue 3-4, 1 Feb. (2004) 292-313. DOI: 10.1016/j.physd.2003.08.003
[I220]
S.M.Moghadas, M.E.Alexander, B.D.Corbett. A non-standard numerical scheme for a generalized Gause-type predator prey model.
Physica D 188, Issue 1-2, 15 Jan. (2004) 134-151. DOI: 10.1016/S0167-2789(03)00285-9
[I221]
D.Alonso, A.Ruiz, I.de Vega. Transport in polygonal billiards.
Physica D 187, Issue 1-4, 1 Jan. (2004) 184-199. DOI: 10.1016/j.physd.2003.09.007
[I222]
J.Langer, R.Perline. Geometric realizations of Fordy-Kulish nonlinear Schrödinger systems.
Pacific J. of Math. 195, No.1 (2000) 157-178.
[I223]
V I Arnold. On teaching mathematics.
Russian Math. Surveys 53, Issue 1, (1998) 229-236. DOI: 10.1070/rm1998v053n01ABEH000005
[I224]
C.Tong, A.Gluhovsky. Energy-conserving low-order models for three-dimensional Rayleigh-Bénard convection.
Phys. Rev. E 65, Issue 4 (2002) 046306-1-11. DOI: 10.1103/PhysRevE.65.046306
[I225]
M.Lübcke, S.M.Nasir, A.J.Niemi, K.Torokoff. Twisted vortices in a gauge field theory.
Physics Letters B 534, Issue 1-4, May 16 (2002) 195-200. DOI: 10.1016/S0370-2693(02)01655-6
[I226]
T.Sakaue, K.Yoshikawa. Folding/unfolding kinetics on a semiflexible polymer chain.
The Journal of Chemical Physics 117, Issue 13, Oct. 1 (2002) 6323-6330. DOI: 10.1063/1.1504431
[I227]
Yu.A.Kuznetsov, E.G.Timoshenko. On the conformational structure of a stiff homopolymer.
The Journal of Chemical Physics 111, Issue 8, Aug. 22 (1999) 3744-3752. DOI: 10.1063/1.479655
[I228]
L.Mahadevan, S.Rica. Self-organized origami.
Science 307, Issue 5716, 18 Mar. (2005) 1740. DOI: 10.1126/science.1105169
[I229]
B.B.Kimia, I.Frankel, A.-M.Popescu. Euler spiral for shape completion.
International Journal of Computer Vision 54, No. 1-3, (2003) 159-182. DOI: 10.1023/A:1023713602895
[I]
H.Meyer, F.Mueller-Plathe. Formation of chain-folded structures in supercooled polymer melts examined by MD simulations.
Macromolecules 35 (4), Feb. 12 (2002) 1241-1252. DOI: 10.1021/ma011309l
[I231]
H.Meyer, F.Mueller-Plathe. Formation of chain-folded structures in supercooled polymer melts.
J. Chem. Phys. 115, Issue 17, Nov. 1 (2001) 7807-7810. DOI: 10.1063/1.1415456
[I232]
P.Welch, M.Muthukumar. Molecular mechanisms of polymer crystallization from solution.
Phys. Rev. Lett. 87, Issue 21, Nov. 19 (2001) 218302-1-4. DOI: 10.1103/PhysRevLett.87.218302
[I233]
I.C.B.Miller, M.Keentok, G.G.Pereira, D.R.M.Williams. Semiflexible polymer condensates in poor solvents: Toroid versus spherical geometries.
Physical Review E 71, Issue 3, (2005) 031802-1-9. DOI: 10.1103/PhysRevE.71.031802
[I234]
J.N.Bright, D.R.M.Williams. Grafted semiflexible polymers in poor solvents: Toroidal and tower surface micell.
Europhys. Lett. 45, Issue 3, (1999) 321-326. DOI: 10.1209/epl/i1999-00166-9
[I235]
G.Wulff. Zur Frage der Geschwindigkeit des Wachsthums und der Aufloesung der Krystallflaechen.
Zeitschrift für Krystallographie 34 (1901) 449-530.
[I236]
D.L.Blair, A.Kudrolli. Geometry of crumpled paper.
Phys. Rev. Lett. 94, Issue , (2005) 166107-1-4. DOI: 10.1103/PhysRevLett.94.166107
[I237]
D.R.M.Williams, G.H.Fredrickson. Cylindrical micelles in rigid-flexible diblock copolymers.
Macromolecules 25, Issue 13 (1992) 3561-3568.
[I238]
R.V.Buniy, T.W.Kephart. Glueballs and the universal energy spectrum of tight knots and links.
Intl. J. Modern Physics A 20 (6), Mar. 10 (2005) 1252-1259.
[I239]
P.Pieranski, S.Przybyl. Ideal trefoil knot.
Phys. Rev. E 64 (3), (2001) 031801-1-5. DOI: 10.1103/PhysRevE.64.031801
[I240]
G.Buck, E.J.Rawdon. Role of flexibility in entanglement.
Phys. Rev. E 70 (2004) 011803-1-6. DOI: 10.1103/PhysRevE.70.011803
[I241]
F.Jülicher, R.Lipowsky. Shape transformations of vesicles with intramembrane domains.
Phys. Rev. E 53, No. 3, Mar. (1996) 2670-2683. DOI: 10.1103/PhysRevE.53.2670
[I242]
E.J.Rawdon. Can computers discover ideal knots?
Experimental Mathematics 12, Issue 3, (2003) . DOI:
[I243]
F.G.Gascon, D.Peralta-Salas. Some properties of the magnetic fields generated by symmetric configurations of wires.
Physica D , Issue , Article in Press (2005) . DOI: 10.1016/j.physd.2005.04.021
[I244]
W.Tomaszewski, P.Pieranski. Dynamics of ropes and chains: I. the fall of the folded chain.
New J. Phys. 7 (2005) 45+17. DOI: 10.1088/1367-2630/7/1/045
[I245]
P.Ziherl, S.Svetina. Nonaxisymmetric phospholipid vesicles: Rackets, boomerangs, and starfish.
Europhys. Lett. 70, Issue 5, (2005) 690-696. DOI: 10.1209/epl/i2004-10527-4
[I246]
P.Lynch, C.Houghton. Pulsation and precession of the resonant swinging spring.
Physica D 190, Issues 1-2, Mar. 15 (2004) 38-62. DOI: 10.1016/j.physd.2003.09.043
[I247]
M.E.Gage. A proof of Gehring's linked spheres conjecture.
Duke Math. J. 47, Issue 3, (1980) 615-620. DOI: 10.1215/S0012-7094-80-04737-7
[I248]
R.Osserman. Some remarks on the isoperimetric inequality and a problem of Gehring.
Journal d'Analyse Mathématique 30 (1976) 404-410. DOI:
[I249]
K.C.Millett, E.J.Rawdon. Energy, ropelength, and other physical aspects of equilateral knots.
Journal of Computational Physics 186, Issue 2, Apr. 10 (2003) 426-456. DOI: 10.1016/S0021-9991(03)00026-3
[I250]
E.Ben-Naim, Z.A.Daya, P.Vorobieff, R.E.Ecke. Knots and random walks in vibrated granular chains.
Phys. Rev. Lett. 86, Issue 8, Feb. 19 (2001) 1414-1417. DOI: 10.1103/PhysRevLett.86.1414
[I251]
Geometric Phases in Physics. Eds. F.Wilczek, A.Shapere.
Advanced Series in Mathematical Physics, Vol. 5.
World Scientific (1989).
[I252]
Th.Frankel. The Geometry of Physics. An Introduction.
Cambridge Univ. Press (1997).
[I253]
B.Mukherjee, C.Liu. On the stability of two nematic liquid crystal configurations.
Discrete and Continuous Dynamical Systems - Series B (DCDS-B) 2, No. 4, (2002) 561-574. DOI:
[I254]
W.K.Schief, M.Kl\'eman, C.Rogers. On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides.
Proc. R. Soc. Lond. A 461, No. 2061, Sep. 08 (2005) 2817-2837. DOI: 10.1098/rspa.2005.1502
[I255]
C.D.Santangelo, R.D.Kamien. Curvature and topology in smectic-A liquid crystals.
Proc. R. Soc. Lond. A 461, No. 2061, Sep. 08 (2005) 2911-2921. DOI: 10.1098/rspa.2005.1534
[I256]
S.I.R.Costa. On closed twisted curves.
Proceedings of the American Mathematical Society 109, No. 1, (1990) 205-214.
[I257]
H.Hess, J.Clemmens, C.Brunner, R.Doot, S.Luna, K.-H.Ernst, V.Vogel. Molecular self-assembly of "nanowires" and "nanospools" using active transport.
Nano Lett. 5, Issue 4, Feb. 26 (2005) 629-633. DOI: 10.1021/nl0478427 S1530-6984(04)07842-7
[I258]
W.Wunderlich. Über ein abwickelbares Möbiusband.
Monatshefte für Mathematik 66, Issue 3, (1962) 276-289.
[I259]
G.E.Schwarz. The dark side of the M\"obius Strip.
Amer. Math. Monthly 97, No. 10, Dec. (1990) 890-897.
[I260]
E.Cerda, L.Mahadevan. Confined developable elastic surfaces: cylinders, cones and the Elastica.
Proc. R. Soc. Lond. A 461, No. 2055, Mar. 08 (2005) 671-700. DOI: 10.1098/rspa.2004.1371
[I261]
J.M.Skotheim, L.Mahadevan. Dynamics of poroelastic filaments.
Proc. R. Soc. Lond. A 460, No. 2047, Jul. 08 (2004) 1995-2020. DOI: 10.1098/rspa.2003.1270
[I262]
P.W.Fowler, T.Tarnai, S.Kabai. Packing regular triplets of circles on a sphere.
Proc. R. Soc. Lond. A 461, No. 2060, Aug. 08 (2005) 2355-2367. DOI: 10.1098/rspa.2005.1464
[I263]
R.S.Manning, G.B.Bulman. Stability of an elastic rod buckling into a soft wall.
Proc. R. Soc. Lond. A 461, No. 2060, Aug. 08 (2005) 2423-2450. DOI: 10.1098/rspa.2005.1458
[I264]
G.Schwarz. A pretender to the title ``canonical Moebius strip''.
Pacific J. Math. 143, No. 1, (1990) 195-200.
[I265]
D.Fuchs, S.Tabachnikov. More on paperfolding.
American Mathematical Monthly 106, No. 1, (1999) 27-35.
[I266]
M.Sadowsky. Ein elementarer Beweis f\"ur die Existenz eines abwickelbaren M\"obiusschen Bandes und Zur\"uckf\"uhrung des geometrischen Problems auf ein Variationsproblem.
Sitzungsberichte der K\"oniglich Preu{\ss}ischen Akademie der Wissenschaften zu Berlin 22 (1930) 412-415.
[I267]
C.Chicone, N.J.Kalton. Flat embeddings of the M\"obius strip in R^3.
Communications on Applied Nonlinear Analysis 9 (2002) 31-50. ISSN: 1074-133X
[I268]
G.Buck. Four-thirds power law for knots and links.
Nature392, 19 Mar. (1998) 238-239. DOI: 10.1038/32561
[I269]
B.Audoly, Y.Pomeau. The elastic torus: anomalous stiffness of shells with mixed type.
Comptes Rendus de Mécanique 330, Issue 6 (2002) 425-432. DOI: 10.1016/S1631-0721(02)01479-1
[I270]
B.Roman, P.M.Reis, B.Audoly, S.De Villiers, V.Viguié and D.Vallet. Oscillatory fracture paths in thin elastic sheets.
Comptes Rendus de Mécanique 331, Issue 12 (2003) 811-816. DOI: 10.1016/j.crme.2003.10.002
[I271]
S.Nechaev, R.Voituriez. On the plant leaf's boundary, `jupe à godets' and conformal embeddings.
J. Phys. A: Math. Gen. 34, Issue 49, 14 Dec. (2001) 11069-11082. DOI: 10.1088/0305-4470/34/49/322
[I272]
B.Audoly, A.Boudaoud. Self-similar structures near boundaries in strained systems.
Phys. Rev. Lett. 91 (2003) 086105-1-4. DOI: 10.1103/PhysRevLett.91.086105
[I273]
M.Marder, E.Sharon, S.Smith, B.Roman. Theory of edges of leaves.
Europhysics Letters 62, Issue 4, 15 May (2003) 498-504. DOI: 10.1209/epl/i2003-00334-5
[I274]
M.Marder, N.Papanicolaou. Geometry and elasticity of strips and flowers.
arXiv: cond-mat/0409135 (2004) 12 p.
[I275]
M.Marder. The shape of the edge of a leaf.
arXiv: cond-mat/0208232 (2002) 15 p.
[I276]
R.Balakrishnan, I.I.Satija. Gauge invariant geometry of closed space curves: Applications to boundary curves of M\"obius-type strips.
arXiv: math-ph/0507039 (2005) 4 p.
[I277]
S.H.Strogatz, D.M.Abrams, A.McRobie, B.Eckhardt, E.Ott. Theoretical mechanics: Crowd synchrony on the Millennium Bridge.
Nature 438, No. 3 (2005) 43-44. DOI: 10.1038/43843a
[I278]
J.E.Marsden, T.S.Ratiu. Introduction to Mechanics and Symmetry.
Springer-Verlag, New York (1999), 2nd ed. ISBN 0-387-98643-X
[I279]
T.Randrup, P.Rogen. Sides of the M\"obius strip.
Archiv der Mathematik 66 (1996) 511-521.
[I280]
J.Gravesen, M.Willatzen. Eigenstates of Möbius nanostructures including curvature effects.
Phys. Rev. A 72, Issue 3, (2005) 032108-1-5. DOI: 10.1103/PhysRevA.72.032108
[I281]
F.E.Udwadia, R.E.Kalaba. A new perspective on constrained motion.
Proc. R. Soc. Lond. A 439, No. 1906, Nov. 9 (1992) 407-410.
[I282]
J.E.Taylor. Crystalline variational methods.
Proc. Natl. Acad. Sci. USA 99, Issue 22, 26 Nov. (2002) 15277-15280. DOI: 10.1073/pnas.222494799
[I283]
A.Majumdar, J.M.Robbins, M.Zyskin. Corrigendum: Elastic energy of liquid crystals in convex polyhedra.
J. Phys. A: Math. Gen. 38, Issue 34, 26 Aug. (2005) 7595. DOI: 10.1088/0305-4470/38/34/C01
[I284]
J.M.Robbins, M.Zyskin. Classification of unit-vector fields in convex polyhedra with tangent boundary conditions.
J. Phys. A: Math. Gen. 37, Issue 44, 5 Nov. (2004) 10609-10623. DOI: 10.1088/0305-4470/37/44/010
[I285]
J.M.Robbins, M.Zyskin. Corrigendum: Classification of unit-vector fields in convex polyhedra with tangent boundary conditions.
J. Phys. A: Math. Gen. 38, Issue 34, 26 Aug. (2005) 7597. DOI: 10.1088/0305-4470/38/34/C02
[I286]
R.Budney, J.Conant, K.P.Scannell, D.Sinha. New perspectives on self-linking.
Advances in Mathematics 191, Issue 1, 15 Feb. (2005) 78-113. DOI: 10.1016/j.aim.2004.03.004
[I287]
M.A.Berger. Topological invariants in braid theory.
Letters in Mathematical Physics 55, Issue 3, (2001) 181-192.
[I288]
S.Chmutov, S.Duzhin. The Kontsevich integral.
Acta Applicandae Mathematicae 66, Issue 2, (2001) 155-190. DOI: 10.1023/A:1010773818312
[I289]
S.Clausen, G.Helgesen, A.T.Skjeltorp. Braid description of collective fluctuations in a few-body system.
Phys. Rev. E 58, Issue 4, (1998) 4229-4237. DOI: 10.1103/PhysRevE.58.4229
[I290]
P.-G. de Gennes. Tight knots.
Macromolecules 17, Issue 4, (1984) 703-704. DOI: 10.1021/ma00134a030
[I291]
M.L.Mansfield. Tight knots in polymers.
Macromolecules 31, Issue 12, (1998) 4030-4032. DOI: 10.1021/ma980013l
End of Bibliography Data File