A non-extensive statistical mechanical approach to define the equilibrium value function in the kinetics of voltage-gated ion channels

Erdem R.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.373, pp.417-424, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 373
  • Publication Date: 2007
  • Doi Number: 10.1016/j.physa.2006.06.005
  • Journal Name: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.417-424
  • Keywords: voltage-gated ion channels, equilibrium value function, squid optic nerve, non-extensive statistical mechanics, Tsallis' entropy, MODIFIED SODIUM-CHANNELS, BOLTZMANN-GIBBS STATISTICS, PLANAR LIPID BILAYERS, TSALLIS ENTROPY, NONEXTENSIVE THERMOSTATISTICS, GENERALIZED STATISTICS, PAIR APPROXIMATION, POTASSIUM CHANNEL, GATING KINETICS, ELECTRIC-FIELDS
  • Akdeniz University Affiliated: No

Abstract

We present a model for the steady-state (or equilibrium) behaviors of the voltage-gated ion channels in cell membranes using the non-extensive or generalized statistical mechanics. The equilibrium value function in the gating kinetics of batrachotoxin-modified sodium channels from a squid optic nerve in planar bilayers are calculated for different values of entropic index (q) which characterizes the degree of non-extensivity of Tsallis' entropy and the fractal structure of the channels. It is found that in the limit q -> 1, the results of calculation reduce to the results described by the well-known Boltzmann statistics or the extensive physics. For the non-extensive case (q not equal 1), a small deviation with respect to the Boltzmann curve which was observed in a great variety of physical systems occurred. (c) 2006 Elsevier B.V. All rights reserved.