Abstract
The charge transport processes in biological macromolecules are studied within the nonlinear electrosoliton mechanism. The interaction between few electrosolitons in a one-dimensional electron-phonon system is investigated. It is shown that in a singlet state the minimum of energy corresponds to a bisoliton. In a triplet state the autolocalized state is described by two electrosolitons which are separated from one another by some finite distance determined by the nonadiabatic terms of the Hamiltonian.
Keywords: Bisolitons, charge transport, electrosolitons, respiratory chain
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References
- 1.Davydov A.S. Solitons and energy transfer along protein molecules. J. Theor. Biol. 1977;66:379–387. doi: 10.1016/0022-5193(77)90178-3. [DOI] [PubMed] [Google Scholar]
- 2.Davydov A.S. Solitons in Molecular Systems. Dordrecht: Reidel; 1985. [Google Scholar]
- 3.Brizhik L.S., Davydov A.S. The electrosoliton pairing in soft molecular chains. Fiz. Nizk. Temp. 1984;10:748–753. [Google Scholar]
- 4.Brizhik L.S. Bisolitons in one-dimensional molecular systems. Fiz. Nizk. Temp. 1986;14:437–441. [Google Scholar]
- 5.Brizhik L.S. The bisoliton mechanism of electron transport in biological systems. J. Biol. Phys. 1993;19:123–131. [Google Scholar]
- 6.Hol W.G.J., Van Duijnen P.T., Berendsen H.J.C. The alpha-helix dipole and the properties of proteins. Nature. 1978;273:443–446. doi: 10.1038/273443a0. [DOI] [PubMed] [Google Scholar]
- 7.Turner I.E., Anderson V.E., Fox K. Energy eigenvalues and eigenfunctions for an electron in an electric-dipole field. Phys. Rev. 1968;174:84–89. [Google Scholar]
- 8.Ukrainskii I.I., Mironov S.L. The origination of the conducting band in polypeptide chains. Teor. Eksper. Chem. 1979;15:144–151. [Google Scholar]
- 9.Rashba E.I. The theory of strong interactions of electron excitations with the lattice vibrations in molecular crystals. Optika i Spektroskopiya. 1957;2:75–87. [Google Scholar]
- 10.Lehninger A.L. Biochemistry. N.Y.: Worth Publishers, Inc.; 1972. [Google Scholar]
- 11.Friedrich P. Supramolecular enzyme organization. Quaternary structure and beyond. Oxford – Budapest: Pergamon Press – Akadémiai Kiadó; 1984. [Google Scholar]
- 12.Dixon M., Webb E.C. Enzymes. Third edition. London: Longman Group Ltd.; 1979. [Google Scholar]
- 13.Brizhik L.S., Eremko A.A., La Magna A., Pucci R. The ground state of an extra electron interacting with acoustic phonons in a molecular chain. Phys. Lett. A. 1995;205:90–96. [Google Scholar]
- 14.Davydov A.S., Eremko A.A. Radiative lifetime of solitons in molecular chains. Ukr. Fiz. Zh. 1977;22:881–893. [Google Scholar]
- 15.Brizhik L.S., Eremko A.A. Electron autolocalized states in molecular chains. Physica D. 1995;81:295–304. [Google Scholar]
- 16.Eremko A.A. Peierls-Froehlich problem in continuum approximation. Phys. Rev. B. 1992;46:3721–3728. doi: 10.1103/physrevb.46.3721. [DOI] [PubMed] [Google Scholar]
- 17.Manakov S.V. To the theory of two-dimensional stationary self-focusing of electromagnetic waves. Zh. Eksper. Teor. Fiz. 1973;65:505–516. [Google Scholar]
- 18.Brizhik, L.S. and Eremko, A.A.: The role of Pauli principle in the formation of autolocalized electron states, Submitted to Ukr. Fiz. Zh., 1998.
- 19.Tratnik M.V., Sipe J.E. Bound solitary waves in a birefringent optical fibre. Phys. Rev. A. 1988;38:2011–2017. doi: 10.1103/physreva.38.2011. [DOI] [PubMed] [Google Scholar]
- 20.Whittaker E.T. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. Cambridge: University Press; 1927. [Google Scholar]
- 21.Hyman J.M., McLaughlin D.W., Scott A.C. On Davydov's alpha-helix solitons. Physica D. 1981;3:23–44. [Google Scholar]
- 22.Brizhik L.S., Gaididei Y., Vakhnenko A.A., Vakhnenko V.A. Soliton generation in semi-infinite molecular chains. Phys. Stat. Sol. (b) 1988;146:179–180. [Google Scholar]
- 23.Erecinska M., Blasie J.K., Wilson D.F. Orientation of the hemes of cytochrome c oxidase and cytochrome c in mitochondria. FEBS Lett. 1977;76:235–239. doi: 10.1016/0014-5793(77)80159-2. [DOI] [PubMed] [Google Scholar]
- 24.Brizhik L.S., Eremko A.A. Possible mechanism of electromagnetic radiation influence on charge transport in biosystems. Physics of the Alive. 1997;5:9–17. [Google Scholar]
- 25.Brizhik, L., Cruzeiro-Hansson, L. and Eremko, A.: Influence of electromagnetic radiation on molecular solitons, Submitted to J. Biol. Physics. [DOI] [PMC free article] [PubMed]