Collective Equilibrium Behaviour of Ion Channel Gating in Cell Membranes: An Ising Model Formulation

@article{Erdem2006CollectiveEB,
  title={Collective Equilibrium Behaviour of Ion Channel Gating in Cell Membranes: An Ising Model Formulation},
  author={Rıza Erdem},
  journal={Journal of Biological Physics},
  year={2006},
  volume={32},
  pages={523-529}
}
  • R. Erdem
  • Published 15 March 2007
  • Biology
  • Journal of Biological Physics
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… 
Monte Carlo simulation for statistical mechanics model of ion-channel cooperativity in cell membranes.
  • R. Erdem, E. Aydiner
  • Biology, Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
TLDR
A new Hamiltonian and a new Monte Carlo simulation algorithm are introduced to simulate a statistical mechanics model of voltage-gated ion channels on the basis of a two-dimensional spin model and it was shown that the results well match the experimental data obtained from batrachotoxin-modified sodium channels in the squid giant axon using the cut-open axon technique.
Collective Dynamics of Ion Channels on Bilayer Lipid Membranes
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The Zimm–Bragg-type model in two dimensions with unequal weight distribution in channel–channel interactions has been proposed and successfully describes the multichannel gating behavior and self-organization of the VDAC cluster.
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It is concluded that the S6 multi-channels show co-operative gating and the difference between the single and one channel conductances is a nonlinear function of the membrane potential.

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