Collective equilibrium behaviour of ion channel gating in cell membranes: An Ising model formulation

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Erdem R.

JOURNAL OF BIOLOGICAL PHYSICS, vol.32, no.6, pp.523-529, 2006 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 6
  • Publication Date: 2006
  • Doi Number: 10.1007/s10867-007-9034-3
  • Journal Name: JOURNAL OF BIOLOGICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.523-529
  • Keywords: statistical mechanics, Ising model, transfer matrix method, squid giant axon, voltage-gated, ion channels, channel-channel cooperative interactions, STATISTICAL-MECHANICAL MODEL, PAIR APPROXIMATION, ELECTRIC-FIELDS, 2-STATE MODEL, VOLTAGE, TRANSITION, KINETICS
  • Akdeniz University Affiliated: No

Abstract

A statistical mechanical model for voltage-gated ion channels in cell membranes is proposed using the transfer matrix method. Equilibrium behavior of the system is studied. Representing the distribution of channels over the cellular membrane on a one-dimensional array with each channel having two states (open and closed) and incorporating channel-channel cooperative interactions, we calculate the fraction of channels in the open state at equilibrium. Experimental data obtained from batrachotoxin-modified sodium channels in the squid giant axon, using the cut-open axon technique, is best fit by the model when there is no interaction between the channels.