Abstract
An equation with five exponential terms is shown to fit the depolarized potassium current with different initial conditions. This equation has a molecular basis and was derived from the assumption that the potassium ions are transported under the combined forces via Newton's second law. It points out that the initial phase of the potassium current may take a different form and the usual concept that potassium conductance has a time delay may be misleading.
Similar content being viewed by others
Literature
Chandler, W. K. and H. Meves. 1970. “Sodium and Potassium Currents in Squid Axions Perfused with Floride Solutions.”J. Physiol. 211, 623–652.
Chiang, C. 1978. “On the Nerve Impulse Equation: the Dynamic Responses of Nerve.”Bull. math. Biol. 40, 247–255.
— 1979. “On the Gating Current and the Dipole Transition.”Bull. math. Biol. 41, 841–848.
Cole, K. S. and J. W. Moore. 1960. “Potassium Ion Current in the Squid Giant Axon: Dynamic Characteristic.”Biophys. J. 1, 1–14.
Goldman, L. and C. L. Schauf. 1973. “Quantitative Description of Sodium and Potassium Currents and Computed Action Potentials inMyxicola Giant Axions.”J. gen. Physiol. 61, 361–384.
Goldman, L. and R. Hahin. 1978. “Initial Conditions and the Kinetics of the Sodium Conductance inMyxicola Giant Axons.”72, 879–898.
Hodgkin, A. L. and A. F. Huxley. 1952. “A Quantitative Description of Membrane Current and its Application to Conduction and Excitation in Nerve.”J. Physiol., Lond. 117, 500–544.
Moore, J. W. and E. B. Cox. 1976. “A Kinetic Model for the Sodium Conductance System in Squid Axon.”Biophys. J. 16, 171–192.
Wei, L. Y. 1969. “Role of Surface Dipoles on Axion Membrane.”Science 163, 280–282.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chiang, C. Depolarized potassium currents and time delay in nerve membrane. Bltn Mathcal Biology 47, 317–320 (1985). https://doi.org/10.1007/BF02460040
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02460040