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  1. Home
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  3. Introduction to Theoretical Neurobiology
  • Cited by 238
  • Volume 1: Linear Cable Theory and Dendritic Structure
  • Henry C. Tuckwell, University of California, Irvine
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
1988
Online ISBN:
9780511623271
DOI:
https://doi.org/10.1017/CBO9780511623271
Subjects:
Life Sciences, Geometry and Topology, Applied Probability and Stochastic Networks, Statistics and Probability, Neurosciences
Series:
Cambridge Studies in Mathematical Biology (8)
Information

Book description

The human brain contains billions of nerve cells whose activity plays a critical role in the way we behave, feel, perceive, and think. This two-volume set explains the basic properties of a neuron - an electrically active nerve cell - and develops mathematical theories for the way neurons respond to the various stimuli they receive. Volume 1 contains descriptions and analyses of the principal mathematical models that have been developed for neurons in the past thirty years. It provides a brief review of the basic neuroanatomical and neurophysiological facts that will form the focus of the mathematical treatment. Tuckwell discusses the mathematical theories, beginning with the theory of membrane potentials. He then goes on to treat the Lapicque model, linear cable theory, and time-dependent solutions of the cable equations. He concludes with a description of Rall's model nerve cell. Because the level of mathematics increases steadily upward from Chapter Two, some familiarity with differential equations and linear algebra is desirable.

Reviews

"It will undoubtably prove to be very useful for experimentalists...Its application will clearly help experimentalists and modelers to better understand thte behavior of their research system...an up-to-date comprehensive effort that encompasses the major analytical approaches to neuronal modeling at the cellular level." --Physics Today

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