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Published in:
The Hodgkin–Huxley Equations Read chapter Read first chapter

2010 | OriginalPaper | Chapter

4. The Variety of Channels

Authors : G. Bard Ermentrout, David H. Terman

Published in: Mathematical Foundations of Neuroscience

Publisher: Springer New York

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Abstract

We have discussed several types of active (voltage-gated) channels for specific neuron models. The Hodgkin–Huxley model for the squid axon consisted of three different ion channels: a passive leak, a transient sodium channel, and the delayed rectifier potassium channel. Similarly, the Morris–Lecar model has a delayed rectifier and a simple calcium channel (with no dynamics). Hodgkin and Huxley were smart and supremely lucky that they used the squid axon as a model to analyze the action potential, as it turns out that most neurons have dozens of different ion channels. In this chapter, we briefly describe a number of them, provide some instances of their formulas, and describe how they influence a cell’s firing properties. The reader who is interested in finding out about other channels and other models for the channels described here should consult http://senselab.med.yale.edu/modeldb/default.asp, which is a database for neural models.

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Metadata
Title
The Variety of Channels
Authors
G. Bard Ermentrout
David H. Terman
Copyright Year
2010
Publisher
Springer New York
Book
Mathematical Foundations of Neuroscience

Print ISBN: 978-0-387-87707-5

Electronic ISBN: 978-0-387-87708-2

Copyright Year: 2010

DOI
https://doi.org/10.1007/978-0-387-87708-2_4

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