Skip to main content
Log in

Simple models of non-linearDNA dynamics

  • Published:
La Rivista del Nuovo Cimento (1978-1999) Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. M. Ya. Azbel:J. Phys. A,12, L29 (1979).

    Article  ADS  Google Scholar 

  2. E. Balanovski:Int. J. Theor. Phys.,26, 49 (1987).

    Article  MATH  Google Scholar 

  3. A. Banerjee andH. M. Sobell:J. Biomol. Struct. and Dyn.,1, 253 (1983).

    Article  Google Scholar 

  4. C. R. Calladine:J. Mol. Biol.,161, 343 (1982).

    Article  Google Scholar 

  5. C. R. Calladine andH. R. Drew:Understanding DNA (Academic Press, London, 1992).

    Google Scholar 

  6. P. L. Christiansen andV. Muto:Physica D,68, 93 (1993).

    Article  ADS  MATH  Google Scholar 

  7. J. F. Currie, J. A. Krumhansl, A. R. Bishop andS. E. Trullinger:Phys. Rev. B,22, 477 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  8. T. Dauxois:Phys. Lett. A,159, 390 (1991).

    Article  ADS  Google Scholar 

  9. T. Dauxois, M. Peyrard andC. R. Willis:Physica D,57, 267 (1992).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. T. Dauxois, M. Peyrard andA. R. Bishop:Phys. Rev. E,47, R44 (1993).

    Article  ADS  Google Scholar 

  11. T. Dauxois, M. Peyrard andA. R. Bishop:Phys. Rev. E,47, 684 (1993).

    Article  ADS  Google Scholar 

  12. T. Dauxois andM. Peyrard:Phys. Rev. Lett.,70, 3935 (1993).

    Article  ADS  Google Scholar 

  13. A. S. Davydov:J. Theor. Biol.,38, 559 (1973).

    Article  Google Scholar 

  14. A. S. Davydov:Biology and Quantum Mechanics (Pergamon, New York, N. Y., 1982).

    Google Scholar 

  15. A. Dubrovin, S. P. Novikov andA. Fomenko:Geometrie Contemporaine I, II & III (Mir, Moscow, 1982, 1987);Modern Geometry I & II (Springer, New York, N. Y., 1984).

    Google Scholar 

  16. G. Duval-Valentine andR. Ehrlich:Nucl. Acid Res.,14, 1967 (1986).

    Article  Google Scholar 

  17. G. Duval-Valentine andR. Ehrlich:Nucl. Acid Res.,15, 575 (1987).

    Article  Google Scholar 

  18. S. W. Englander, N. R. Kallenbach, A. J. Heeger, J. A. Krumhansl andS. Litwin:Proc. Natl. Acad. Sci. (USA),777, 7222 (1980).

    Article  ADS  Google Scholar 

  19. K. Forinash, A. R. Bishop andP. S. Lomdahl:Phys. Rev. B,43, 10743 (1991).

    Article  ADS  Google Scholar 

  20. J. Gabarro-Arpa andC. Reiss: inProgress in molecular and subcellular biology, edited byF. E. Hahn, vol.5, p. 1 (Springer, New York, N. Y, 1977).

    Google Scholar 

  21. J. Gabarro-Arpa, P. Tougard andC. Reiss:Nature,280, 515 (1979).

    Article  ADS  Google Scholar 

  22. G. Gaeta:Phys. Lett. A,143, 227 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  23. G. Gaeta:Phys. Lett. A,168, 383 (1992).

    Article  ADS  Google Scholar 

  24. G. Gaeta:Phys. Lett. A,172, 365 (1993).

    Article  MathSciNet  ADS  Google Scholar 

  25. G. Gaeta:Phys. Lett. A,179, 167 (1993).

    Article  MathSciNet  ADS  Google Scholar 

  26. G. Gaeta, to appear inProceedings of the Leningrad DNA Conference (June 1992). To be published by Nova Science (St. Petersbourg).

  27. Y. Gao, K. V. Devi Prasad, E. W. Prohofsky:J. Chem. Phys.,80, 6291 (1984).

    Article  ADS  Google Scholar 

  28. M. Guéron, M. Kochoyan andJ. L. Leroy:Nature,328, 89 (1987).

    Article  ADS  Google Scholar 

  29. H. Heumann, M. Ricchetti andW. Werel:EMBO J.,7, 4379 (1988).

    Google Scholar 

  30. P. von Hippel, D. G. Baer, W. D. Morgan andJ. A. McSwiggen:Ann. Rev. Biochem.,53, 389 (1984).

    Article  Google Scholar 

  31. S. Homma andS. Takeno:Prog. Theor. Phys.,72, 679 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. M. A. Jacquet, R. Ehrlich andC. Reiss:Nucl. Acid. Res.,17, 2933 (1989).

    Article  Google Scholar 

  33. M. A. Jacquet andC. Reiss:Nucl. Acid Res.,18, 1137 (1990).

    Article  Google Scholar 

  34. M. A. Jacquet andC. Reiss:Mol. Microbiol.,6, 1681 (1992).

    Article  Google Scholar 

  35. W. C. Kerr, A. M. Hawthorne, R. J. Gooding, A. R. Bishop andJ. A. Krumhansl:Phys. Rev. B,45, 7036 (1992).

    Article  ADS  Google Scholar 

  36. J. A. Krumhansl andJ. R. Schrieffer:Phys. Rev. B,11, 3535 (1975).

    Article  ADS  Google Scholar 

  37. J. A. Krumhansl andD. M. Alexander: inStructure and Dynamics: Nuclei Acids and Proteins, edited byE. Clementi andR. H. Sarma (Adenine Press, New York, N.Y., 1983).

    Google Scholar 

  38. J. A. Krumhansl, J. A. Wysin, D. M. Alexander, A. Garcia, P. S. Lomdahl, A. C. Scott andP. Layne: inStructure and Motion: Membranes, Nucleic Acids and Proteins, edited byE. Clementi, G. Corongiu, M. H. Sarma andR. H. Sarma (Adenine Press, New York, N. Y., 1985).

    Google Scholar 

  39. J. A. Krumhansl andR. J. Gooding:Phys. Rev. B,39, 3047 (1989).

    Article  ADS  Google Scholar 

  40. M. Lewitt:Cold Spring Harbor Symp. Quant. Biol. A,46, 251 (1982).

    Google Scholar 

  41. H. Marcaud, J. Gabarro-Arpa, R. Ehrlich andC. Reiss:Nucl. Acid Res.,14, 551 (1986).

    Article  Google Scholar 

  42. V. Muto, J. Halding, P. L. Christiansen andA. C. Scott:J. Biomol. Struct. Dyn.,5, 837 (1988).

    Article  Google Scholar 

  43. V. Muto, J. Halding, P. L. Christiansen andA. C. Scott:J. Biomol. Struct. Dyn.,5, 873 (1988).

    Article  Google Scholar 

  44. V. Muto, P. S. Lomdahl andP. L. Christiansen:Phys. Lett. A,136, 33 (1989).

    Article  ADS  Google Scholar 

  45. V. Muto, A. C. Scott andP. L. Christiansen:Physica D,44, 75 (1990).

    Article  ADS  MATH  Google Scholar 

  46. V. Muto, P. S. Lomdahl andP. L. Christiansen:Phys. Rev. A,42, 7452 (1990).

    Article  ADS  Google Scholar 

  47. S. Nose:Mol. Phys.,52, 255 (1984);J. Chem. Phys.,81, 511 (1984).

    Article  ADS  Google Scholar 

  48. M. Peyrard andA. R. Bishop:Phys. Rev. Lett.,62, 2755 (1989).

    Article  ADS  Google Scholar 

  49. M. Peyrard, T. Dauxois, H. Hoyet andC. R. Willis:Physica D,68, 104 (1993).

    Article  ADS  MATH  Google Scholar 

  50. D. Poland, H. Scheraga:J. Chem. Phys.,81, 511 (1984).

    Article  Google Scholar 

  51. E. W. Prohofsky:Phys. Rev. A,38, 1538 (1988).

    Article  ADS  Google Scholar 

  52. E. W. Prohofsky:Phys. Rev A,38, 5332 (1988).

    Article  Google Scholar 

  53. W. Saenger:Principles of Nucleic Acid Structure (Springer, New York, N. Y., 1984); second corrected printing 1988.

    Book  Google Scholar 

  54. M. Salerno:Phys. Rev. A,44, 5292 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  55. D. J. Scalapino, M. Sears, R. A. Ferrel:Phys. Rev. B,6, 3409 (1972).

    Article  ADS  Google Scholar 

  56. B. Schmitt andC. Reiss:Biochem. J.,277, 435 (1991).

    Article  Google Scholar 

  57. A. C. Scott:Am. J. Phys.,37, 52 (1969).

    Article  ADS  Google Scholar 

  58. A. C. Scott, F. V. F. Chu andD. W. Mac Laughlin:Proc. IEEE,61, 1443 (1980).

    Article  ADS  Google Scholar 

  59. A. C. Scott:Phys. Rev. A,31, 3518 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  60. H. M. Sobell, C. C. Tsai, S. G. Gilbert, S. C. Jain andT. D. Sacore:Proc. Natl. Acad. Sci. USA,73, 3068 (1976).

    Article  ADS  Google Scholar 

  61. H. M. Sobell, C. C. Tsai, S. C. Jain andS. G. Gilbert:J. Mol. Biol.,114, 333 (1977).

    Article  Google Scholar 

  62. H. M. Sobell:Proc. Natl. Acad. Sci. USA,82, 5328 (1985).

    Article  ADS  Google Scholar 

  63. S. Takeno andS. Homma:Prog. Theor. Phys.,70, 308 (1983).

    Article  ADS  Google Scholar 

  64. S. Takeno andS. Homma:Prog. Theor. Phys.,77, 548 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  65. M. Techera, L. L. Daemen andE. W. Prohofsky:Phys. Rev. A,40, 6636 (1989).

    Article  ADS  Google Scholar 

  66. M. Techera, L. L. Daemen andE. W. Prohofsky:Phys. Rev. A,42, 1008 (1990).

    Article  ADS  Google Scholar 

  67. N. Theodorakopoulos andM. Peyrard, unpublished.

  68. S. V. Vinogradov andR. H. Linnell:Hydrogen Bonding (Van Nostrand Reinhold, New York, N. Y., 1971).

    Google Scholar 

  69. F. J. Wang andC. Reiss:Biochem. Mol. Biol. Int.,30, 983 (1993).

    Google Scholar 

  70. F. J. Wang: Thesis, Université Paris VI, 1991.

  71. J. Xiao, J. Lin andG. Zhang:J. Phys. A,20, 2425 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  72. L. V. Yakushevich:Studia Biophys.,121, 201 (1987).

    Google Scholar 

  73. L. V. Yakushevich:Phys. Lett. A,136, 413 (1989).

    Article  ADS  Google Scholar 

  74. S. Yomosa:J. Phys. Soc. Jpn.,51, 3318 (1982).

    Article  ADS  Google Scholar 

  75. S. Yomosa:Phys. Rev. A,27, 2120 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  76. S. Yomosa:Phys. Rev. A,30, 474 (1984).

    Article  ADS  Google Scholar 

  77. L. L. van Zandt:Phys. Rev. A,40, 6134 (1989).

    Article  ADS  Google Scholar 

  78. L. L. van Zandt:Phys. Rev. A,42, 5036 (1990).

    Article  ADS  Google Scholar 

  79. C. T. Zhang:Phys. Rev. A,35, 886 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  80. G. F. Zhou andC. T. Zhang:Physica Scripta,43, 347 (1991).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gaeta, G., Reiss, C., Peyrard, M. et al. Simple models of non-linearDNA dynamics. Riv. Nuovo Cim. 17, 1–48 (1994). https://doi.org/10.1007/BF02724511

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02724511

Navigation