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Nernst-planck analog equations and stationary state membrane electric potentials

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Abstract

A set of coupled nonlinear differential equations, determining the concentration profiles and electric potentials valid for isothermal transport of ions and molecules across a diffusion barrier are formulated, using a correction to the limiting expression for chemical potential gradients and the molecular expression for frictional force. These differential equations are similar to Nernst-Planck equations and reduce to these under appropriate approximations. Solutions of these equations valid under specified conditions are presented. Expressions for permeability, concentration profiles of many ion systems are included.

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Authors and Affiliations

  1. Department of Biophysical Sciences, State University of New York at Buffalo, 114B Carey Hall, Maincampus, 14226, New York, NY, USA

    V. S. Vaidhyanathan

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  1. V. S. Vaidhyanathan
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Vaidhyanathan, V.S. Nernst-planck analog equations and stationary state membrane electric potentials. Bltn Mathcal Biology 41, 365–385 (1979). https://doi.org/10.1007/BF02460818

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  • DOI: https://doi.org/10.1007/BF02460818

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