Biopolym. Cell. 1992; 8(1):36-42.
http://dx.doi.org/10.7124/bc.00030C
Structure and Function of Biopolymers
Exitable membrane ion channel as a self-organized non-equilibrium system. 2. Modelling of ion channel bearing several "gate particles"
1Weinreb G. Ye.
  1. Intersectoral Research and Engineering Center for Physics of the living and the microwave resonance therapy "Vidguk"
    61-b, Volodymyrska Str., Kyiv, Ukraine, 252017

Abstract

A model of single-ion channel allowing us to describe discrete conductivety levels and gate processes is suggested. A number of conformational variables describing ion-conformational interaction is equal to the number of "gate particles". Synerge-tic approach developed in the paper enables us to reproduce the properties of ecxited membranes described by Hodgkin – Haxley theory. Along with this te model has special properties making possible its experimental approbation.
Full text: (PDF, in Russian)

References

[1] Hodgkin AL, Huxley AF. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol. 1952;117(4):500-44.
[2] Membranes. Ion channels. Ed. A. Chiznadzheva. M. Mir. 1981; 320 p.
[3] Kostyuk PG, Kryshtal OA. Mechanisms electrical excitability of nerve cells. M. Mir. 1981; 204 p.
[4] Rubin AB. Biophysics. M. Vysshaya shkola, 1987. vol. 2. 304 p.
[5] Stühmer W, Conti F, Suzuki H, Wang XD, Noda M, Yahagi N, Kubo H, Numa S. Structural parts involved in activation and inactivation of the sodium channel. Nature. 1989;339(6226):597-603.
[6] Single-channel recording / edited by Bert Sakmann and Erwin Neher. New York : Plenum Press, 1983.
[7] Läuger P. Dynamics of ion transport systems in membranes. Physiol Rev. 1987;67(4):1296-331. Review.
[8] Ciani S. Coupling between fluxes in one-particle pores with fluctuating energy profiles. A theoretical study. Biophys J. 1984;46(2):249-52.
[9] Gaididei YB, Kharkyanen VN, Chinarov VA. Synergetic model of the voltage-gated ion channels in biological membranes. Kiev, 1988. 40 p. (Preprint. UkSSR. Inst theor. Physics; 123R).
[10] Waynreb GE, YU. B. Gaididei YB, Kharkyanen VN, Chinarov VA. Synergetic model of ion transport channels in a voltage-bio-membranes. Physics of multiparticle systems.. 1990; Iss. 18: 172-97.
[11] Gardiner C. W. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences. 2d ed. Springer-Verlag, 1985. 442 p.