European Biophysics Journal

, Volume 29, Issue 2, pp 90–103

A theory for the membrane potential of living cells

  • L. P. Endresen
  • K. Hall
  • J. S. Høye
  • J. Myrheim
ARTICLE

DOI: 10.1007/s002490050254

Cite this article as:
Endresen, L., Hall, K., Høye, J. et al. Eur Biophys J (2000) 29: 90. doi:10.1007/s002490050254

Abstract

We give an explicit formula for the membrane potential of cells in terms of the intracellular and extracellular ionic concentrations, and derive equations for the ionic currents that flow through channels, exchangers and electrogenic pumps. We demonstrate that the work done by the pumps equals the change in potential energy of the cell, plus the energy lost in downhill ionic fluxes through the channels and exchangers. The theory is illustrated in a simple model of spontaneously active cells in the cardiac pacemaker. The model predicts the experimentally observed intracellular ionic concentration of potassium, calcium and sodium. Likewise, the shapes of the simulated action potential and five membrane currents are in good agreement with experiment. We do not see any drift in the values of the concentrations in a long time simulation, and we obtain the same asymptotic values when starting from the full equilibrium situation with equal intracellular and extracellular ionic concentrations.

Key words Membrane potential Cells Cardiac pacemaker Osmotic pressure 

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • L. P. Endresen
    • 1
  • K. Hall
    • 2
  • J. S. Høye
    • 1
  • J. Myrheim
    • 1
  1. 1.Institutt for Fysikk, NTNU, N-7491 Trondheim, Norway e-mail: endresen@phys.ntnu.noNO
  2. 2.Centre for Nonlinear Dynamics, Department of Physiology, McGill University, 3655 Drummond Street, Montreal,Quebec, Canada H3G IY6CA

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