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. 2006 Dec;32(6):523-9.
doi: 10.1007/s10867-007-9034-3. Epub 2007 Mar 15.

Collective equilibrium behaviour of ion channel gating in cell membranes: an ising model formulation

Riza Erdem  1
Affiliations

Collective equilibrium behaviour of ion channel gating in cell membranes: an ising model formulation

Riza Erdem. J Biol Phys. 2006 Dec.

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.

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