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The Transport Properties of the Cell Membrane Ion Channels in Electric Fields: Bethe Lattice Treatment

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Abstract

The interactive two-state model of cell membrane ion channels in an electric field is formulated on the Bethe lattice by means of the exact recursion relations. The probability of channel opening or maximum fractions of open potassium and sodium channels are obtained by solving a non-linear algebraic equation. Using known parameters for the conventional mean-field theory the model gives a good agreement with the experiment both at low and high trans-membrane potential values. For intermediate voltages, the numerical results imply that collective effects are introduced by trans-membrane voltage.

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Authors and Affiliations

  1. Department of Physics, Gaziosmanpaşa University, Tokat, 60250, Turkey

    Rıza Erdem

  2. Department of Physics, Adnan Menderes University, Aydın, 09010, Turkey

    Cesur Ekiz

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  1. Rıza Erdem
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  2. Cesur Ekiz
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Correspondence to Rıza Erdem.

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Erdem, R., Ekiz, C. The Transport Properties of the Cell Membrane Ion Channels in Electric Fields: Bethe Lattice Treatment. J Stat Phys 129, 469–481 (2007). https://doi.org/10.1007/s10955-007-9370-5

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  • DOI: https://doi.org/10.1007/s10955-007-9370-5

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