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A statistical mechanical model of cell membrane ion channels in electric fields: The mean-field approximation

Author

Listed:
  • Yang, Y.S.
  • Thompson, C.J.
  • Anderson, V.
  • Wood, A.W.

Abstract

A statistical mechanical model of cell membrane ion channels is proposed which incorporates interactions between ion channels and external electric fields. The model provides a physical explanation of trans-membrane ion transport. Under a mean-field approximation, the maximum fractions of open potassium and sodium channels are obtained by solving a self-consistent nonlinear algebraic equation. Using known parameters for the squid giant axon, the model gives excellent agreement with experimental measurements for potassium and sodium trans-membrane conductance. The numerical results imply that the chemical potential of open channels and the interaction energy between channels are well above the thermal noise.

Suggested Citation

  • Yang, Y.S. & Thompson, C.J. & Anderson, V. & Wood, A.W., 1999. "A statistical mechanical model of cell membrane ion channels in electric fields: The mean-field approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 424-432.
    • Handle: RePEc:eee:phsmap:v:268:y:1999:i:3:p:424-432
    DOI: 10.1016/S0378-4371(99)00102-8
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    Cited by:

    1. Ozer, Mahmut, 2005. "Determination of rate kinetics in ion channels by the path probability method and Onsager reciprocity theorem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 397-414.

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