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Introduction to Theoretical Neurobiology : Volume 1, Linear Cable Theory and Dendritic Structure - Henry C. Tuckwell

Introduction to Theoretical Neurobiology

Volume 1, Linear Cable Theory and Dendritic Structure


Published: 28th May 2004
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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 principle 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.

"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

Introductory neuroanatomy and neurophysiology: the properties of motoneurons
The classical theory of membrane potentials
The Lapicque model of the nerve cell
Linear cable theory for nerve cylinders and dendritic trees: steady-state solutions
Time-dependent cable theory for nerve cylinders and dendritic trees
Rall's model neuron
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521350969
ISBN-10: 0521350964
Series: Cambridge Studies in Mathematical Biology : Book 1
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 304
Published: 28th May 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.1
Weight (kg): 0.62