Theory of the effect of extracellular potassium on oscillations in the pancreatic beta-cell

Biophysical Journal
T R Chay, J Keizer


Based on the observation that potassium ions are compartmentalized near the surface of pancreatic beta-cells in mouse islets (Perez-Armendariz, E.M., I. Atwater, and E. Rojas 1985, Biophys. J. 48:741-749), we present a theoretical treatment of the effect of external potassium on oscillations in the pancreatic beta-cell. Our model includes the effects of ionic diffusion, the Ca2+-activated K+ channel, voltage-gated K+ and Ca2+ channels, and some of the effects of glucose. It is described by four ordinary differential equations. Numerical integration of these equations allows us to examine the effect of glucose, external K+, quinine, and tetraethylammonium ion (TEA) on the oscillations in membrane potential, intracellular Ca2+, and compartmentalized K+. The results are in good agreement with experiment.


Jul 12, 2013·CPT: Pharmacometrics & Systems Pharmacology·I AjmeraV Chelliah
Apr 23, 2009·Biophysical Journal·L E FridlyandL H Philipson
Jan 1, 1989·Archives of Biochemistry and Biophysics·E GrapengiesserB Hellman
Mar 30, 1988·Biochemical and Biophysical Research Communications·E GrapengiesserB Hellman

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