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

  title={Collective Equilibrium Behaviour of Ion Channel Gating in Cell Membranes: An Ising Model Formulation},
  author={Rıza Erdem},
  journal={Journal of Biological Physics},
  • 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
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
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.
S6 Peptide Derived from KvAP Channel Shows Cooperativity in Gating on Bilayer Lipid Membrane
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.


Relaxation of Membrane Channels: A Statistical Mechanical Approach
Abstract Co-operative behaviour of voltage-sensitive membrane channels, for example, gap-junctions, has been investigated. A statistical mechanical model has already been proposed by us for the
Statistical mechanics of membrane channels.
A model of the Zimm-Bragg type is developed for a membrane with a large number of channels behaving co-operatively and tested with voltage-dependent conductance data for gap-junction channels in embryonic cells.
Statistical mechanical equilibrium theory of selective ion channels.
  • B. Roux
  • Biology
    Biophysical journal
  • 1999
Lattice model for calcium dynamics.
This work presents a simplified lattice model to study calcium dynamics in the endoplasmic reticulum membrane and shows that the critical behavior of the model changes drastically depending on the opening/closing functions.