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An interactive two-state model for cell membrane potassium and sodium ion channels in electric fields using the pair approximation

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  • Erdem, Rıza
  • Ekiz, Cesur

Abstract

An interactive two-state model for cell membrane potassium and sodium ion channels in the presence of electric fields is proposed and studied using the pair approximation. In the model, ion channels which can either be in an open or closed states are regarded as residing on a two-dimensional surface with a regular array of sites and the interactions between the neighbouring channels and the external electric field are incorporated. The minimization of the free energy is performed with respect to the pair or bond variables and maximum fractions of open potassium and sodium channels are obtained. Using known parameters for the squid giant axon the model gives qualitative agreement with the mean-field results and experimental measurements for potassium and sodium trans-membrane conductance.

Suggested Citation

  • Erdem, Rıza & Ekiz, Cesur, 2005. "An interactive two-state model for cell membrane potassium and sodium ion channels in electric fields using the pair approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 417-426.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:2:p:417-426
    DOI: 10.1016/j.physa.2005.02.005
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    References listed on IDEAS

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    1. Hambly, B. M. & Kumagai, Takashi, 2001. "Fluctuation of the transition density for Brownian motion on random recursive Sierpinski gaskets," Stochastic Processes and their Applications, Elsevier, vol. 92(1), pages 61-85, March.
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