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Published November 1993 | Published
Journal Article Open

Limitations of the Hodgkin-Huxley formalism : effects of single channel kinetics on transmembrane voltage dynamics

Abstract

A standard membrane model, based on the continuous deterministic Hodgkin-Huxley equations, is compared to an alternative membrane model, based on discrete stochastic ion channel populations represented through Marlcov processes. Simulations explore the relationship between these two levels of description: the behavior predicted by the macroscopic membrane currents versus the behavior predicted by their microscopic ion channels. Discussion considers the extent to which these random events underlying neural signals mediate random events in neural computation.

Additional Information

© 2009 The MIT Press. Received 16 March 1992; accepted 26 February 1993; posted online April 4, 2008. This material is based on work supported under a National Science Foundation Graduate Fellowship and an NIH HL-27385. We would like to express our deep appreciation to Dr. Christof Koch for his comments and suggestions throughout the preparation of this manuscript. We also would like to thank Hsiaolan Hsu and Dr. Henry Lester for helpful insights.

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