Abstract
The fundamental stimulus for the development of the theory to be presented in this paper was the discovery of circular DNAs. We recall that DNA molecules, which contain all the information on the structure of living organisms, consist of two polymer chains attached to one another by weak, noncovalent interactions. These chains form a double helix in which γo = 10 monomer links (base pairs) occur per turn. Actual DNAs contain from several thousand to billions of monomer links. Initially the main attention was focused on studying the properties of linear DNA molecules, since this is precisely the form of DNA that could be extracted from cells and virus particles.
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References
Delbruck, M., 1962, in: “Mathematical Problems in the Biological Sciences”, Amer. Math. Soc.
Depew, R. E., and Wang, J. C., 1975, Conformational fluctuating of DNA helix, Proc. Natl. Acad. Sci. USA, 72: 4275.
Frank-Kamenetskii, M. D., Likashin, A. V., and Vologodskii, A. V., 1975, Statistical mechanics and topology of polymer chains, Nature, 258: 398.
Frank-Kamenetskii, M. D., and Vologodskii, A. V., 1981, Topological aspects of the physics of polymers: the theory and its biophysical applications, Sov. Phys.-Usp., 24: 679.
Frank-Kamenetskii, M. D., Lukashin, A. V., Anshelevich, V. V., and Vologodskii, A. V., 1985, Torsional and bending rigidity of the double helix from data on small DNA rings, J. Biomol. Struct. Dyn., 2: 1005.
Fuller. F. B., 1971, The writhing number of a space curve, Proc. Natl. Acad. Sci. USA, 68: 815.
Horowitz, D. S., and Wang, J. C., 1984, The torsional rigidity of DNA and the length dependence of the free energy of DNA supercoiling J. Mol. Biol., 173: 75.
Klenin, K. V., Vologodskii, A. V., Anshelevich, V. V., Dykhne, A. M., and Frank-Kamenetskii, M. D., 1988, Effect of excluded volume on topological properties of circular DNA, J. Biomol. Struct. Dyn., 6: 1173.
Klenin, K. V., Vologodskii, A. V., Anshelevich, V. V., Dykhne, A. M., and Frank-Kamenetskii, M. D., 1990, Computer simulation of DNA supercoiling, J. Mol. Biol., in press.
Klenin, R. V., Vologodskii, A. V., Anghelevich, A. V., Klighko, V. Y., Dykhne, A. M., and Frank-Kamenetskii, M. D., 1989, Variance of writhe of wormlike DNA rings with excluded volume, J. Biomol. Struct. Dyn., 6: 707.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E., 1953, J. Chem. Phys., 21: 1087.
Pulleyblank, D. E., Shure, D. E., Tang, D., Vinograd, J., and Vosberg, H.-P., 1975, 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: 4280.
Shure, M., Pulleyblank, D. E., and Vinograd, J., 1977, The problem of eukaryotic and prokaryotic DNA packaging and in vivo confomation posed by supehelix density heterogeneity, Nucleic Acids Res., 4: 1183.
Vologodskii, M. D., Lukashin, A. V., Frank-Kamenetskii, M. D., and Anshelevich, V. V., 1974, The knot problem in statistical mechanics of polymer chains, Sov. Phys. JETP 39: 1059.
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© 1991 Springer Science+Business Media New York
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Frank-Kamenetskii, M. (1991). DNA Topology. In: Peliti, L. (eds) Biologically Inspired Physics. NATO ASI Series, vol 263. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9483-0_4
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DOI: https://doi.org/10.1007/978-1-4757-9483-0_4
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