Skip to main content
SpringerLink
Log in

Models for Energy and Charge Transport and Storage in Biomolecules

  • Published:
Journal of Biological Physics Aims and scope Submit manuscript

Abstract

Two models for energy and charge transport and storage in biomolecules are considered. A model based on the discrete nonlinear Schrödinger equation with long-range dispersive interactions (LRI's) between base pairs of DNA is offered for the description of nonlinear dynamics of the DNA molecule. We show that LRI's are responsible for the existence of an interval of bistability where two stable stationary states, a narrow, pinned state and a broad, mobile state, coexist at each value of the total energy. The possibility of controlled switching between pinned and mobile states is demonstrated. The mechanism could be important for controlling energy storage and transport in DNA molecules. Another model is offered for the description of nonlinear excitations in proteins and other anharmonic biomolecules. We show that in the highly anharmonic systems a bound state of Davydov and Boussinesq solitons can exist.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Reiss, C.: In M. Peyrard (ed.), Nonlinear Excitations in Biomolecules, Springer-Verlag, Berlin, Heidelberg, Les Editions de Physique Les Ulis, 1995, p. 29.

    Google Scholar 

  2. Lozansky et al.: In R.H. Sarma (ed.), Stereodynamics of Molecular Systems, Pergamon Press, 1979, p. 265.

  3. Chou, K.C. and Mao, B.: Biopolymers 27 (1988), 1795.

    Google Scholar 

  4. Prohovsky, E.W.: In R.H. Sarma and M.H. Sarma (eds.), Biomolecular Stereodynamics IV, Adenine Guilderland, New York, 1986, p. 21.

    Google Scholar 

  5. Georghiou et al.: Biophysical J. 70 (1996), 1909.

    Google Scholar 

  6. Holbrook, S.R. and Kim, S.H.: J. Mol. Biol. 173 (1984), 361.

    Google Scholar 

  7. Gaididei, Yu.B. and Serikov, A.A.: Theor. and Math. Phys. 27 (1976), 457.

    Google Scholar 

  8. Papanicolaou, G.C.: J. Appl. Math. 21 (1971), 13.

    Google Scholar 

  9. Wadati, M.: J. Phys. Soc. Jpn. 38 (1976), 673.

    Google Scholar 

  10. Sievers, A.J. and Takeno, S.: Phys. Rev. Lett. 61 (1988), 970.

    Google Scholar 

  11. MacKay, R.S. and Aubry, S.: Nonlinearity 7 (1994), 1623.

    Google Scholar 

  12. Pouget, J. et al.: Phys. Rev. B 47 (1993), 14866.

    Google Scholar 

  13. Dauxois, T. and Peyrard, M.: Phys. Rev. Lett. 70 (1993), 3935.

    Google Scholar 

  14. Muto, V. et al.: Phys. Rev. A 42 (1990), 7452.

    Google Scholar 

  15. Christiansen, P.L. et al.: Phys. Rev. B 55 (1997), 5759.

    Google Scholar 

  16. Gaeta, G. et al.: Riv. N. Chim. 17(4) (1994), 1.

    Google Scholar 

  17. Peyrard, M. and Bishop, A.: Phys. Rev. Lett. 62 (1989), 2755.

    Google Scholar 

  18. Techera, M. et al.: Phys. Rev. A 40 (1989), 6636.

    Google Scholar 

  19. Dauxois, T. et al.: Phys. Rev. E 47 (1993), 684.

    Google Scholar 

  20. Dauxois, T. et al.: Phys. Rev. E 47 (1993), R44.

    Google Scholar 

  21. Dahlborg, U. and Rupprecht, A.: Biopolymers 10 (1971), 849.

    Google Scholar 

  22. Corongiu, G. and Clementi, E.: Biopolymers 20 (1981), 551.

    Google Scholar 

  23. Braun, O.M. et al.: Phys. Rev. B 41 (1990), 7118.

    Google Scholar 

  24. Woafo, P. et al.: J. Phys. Condens. Matter 5 (1993), L123.

    Google Scholar 

  25. Vazquez, L. et al.: Phys. Lett. A 189 (1994), 454.

    Google Scholar 

  26. Alfimov, G.L. et al.: Chaos 3 (1993), 405.

    Google Scholar 

  27. Gaididei, Yu.B. et al.: Phys. Lett. A 222 (1996), 152; Gaididei, Yu.B. et al.: Phys. Scr. T67 (1996), 151.

    Google Scholar 

  28. Gaididei, Yu.B. et al.: Phys. Rev. Lett. 75 (1995), 2240.

    Google Scholar 

  29. Gaididei, Yu.B. et al.: Phys. Rev. E 55 (1997), 6141.

    Google Scholar 

  30. Davydov, A.S.: Solitons in molecular systems, D. Reidel Pub. Co., Dordrecht, Boston, Lancaster, 1987.

    Google Scholar 

  31. Christiansen, P.L. and Scott, A.C. (eds.), Davydov's soliton reivisited, NATO ASI Series B: Physics Vol. 243, Plenum Press, 1990.

  32. Christiansen, P.L. et al.: Chaos, Solitons and Fractals 2 (1992), 45.

    Google Scholar 

  33. Davydov, A.S. and Zolotariuk, A.V.: Phys. Stat. Sol. (b) 115 (1983), 115.

    Google Scholar 

  34. Davydov, A.S. and Zolotariuk, A.V.: Phys. Scr. 30 (1984), 426.

    Google Scholar 

  35. Christiansen, P.L. et al.: Phys. Lett. A 166 (1992), 129.

    Google Scholar 

  36. Gaididei, Yu.B. et al.: Phys. Scr. 51 (1995), 289.

    Google Scholar 

  37. Zolotaryuk, A.V. et al.: Europhys. Lett. 31 (1995), 531.

    Google Scholar 

  38. Zolotaryuk, A.V. et al.: Phys. Rev. B 54 (1996), 266.

    Google Scholar 

  39. Mingaleev, S.F.: Effects of nonlocality and anharmonicity in nonlinear transport of energy and charge, Ph.D. thesis (in Russian), 1997.

  40. Pérez, P. and Theodorakopoulos, N.: Phys. Lett. A 124 (1987), 267.

    Google Scholar 

  41. Hénon, M. and Heiles, C.: Astrophysics 63 (1964), 73.

    Google Scholar 

  42. Baker, G.A. Jr.: Phys. Rev. 122 (1961), 1477.

    Google Scholar 

  43. Kac, A.M. and Helfand, B.C.: J. Math. Phys. 4 (1972), 1078.

    Google Scholar 

  44. Johansson, M. et al.: Phys. Rev. E 57 (1998), 4739.

    Google Scholar 

  45. Laedke, E.W. et al.: Phys. Rev. Lett. 73 (1994), 1055.

    Google Scholar 

  46. Malomed, B. and Weinstein, M.I.: Phys. Lett. A 220 (1996), 91.

    Google Scholar 

  47. Johansson, M. et al.: Physica D 119 (1998), 115.

    Google Scholar 

  48. Lichtenberg, A.J. and Lieberman, M.A.: Regular and stochastic motion, Springer-Verlag, Berlin, Heidelberg, New York, 1983.

    Google Scholar 

  49. Lamb, G.L. Jr.: Elements of soliton theory, John Wiley and Sons, New York, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bogolyubov Institute for Theoretical Physics, 14-b Metrologichna Str., 252143, Kiev, Ukraine

    S.F. Mingaleev & Yu.B. Gaididei

  2. Department of Mathematical Modelling, The Technical University of Denmark, DK-2800, Lyngby, Denmark

    P.L. Christiansen

  3. Department of Physics and Measurement Technology, Linköping University, S-581 83, Linköping, Sweden

    M. Johansson

  4. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, 87545, U.S.A

    K.Ø. Rasmussen

Authors
  1. S.F. Mingaleev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P.L. Christiansen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu.B. Gaididei
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. Johansson
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. K.Ø. Rasmussen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mingaleev, S., Christiansen, P., Gaididei, Y. et al. Models for Energy and Charge Transport and Storage in Biomolecules. Journal of Biological Physics 25, 41–63 (1999). https://doi.org/10.1023/A:1005152704984

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1005152704984

Search

Navigation