ENGLISH

Introduction to Theoretical Neurobiology: Volume 1, Linear Cable Theory and Dendritic Structure

By Henry C. Tuckwell

Book information

Publisher
Cambridge University Press
Year
1988
ISBN
0521350964, 9780521350969
LCC
QP361 .T76 1988
Language
english
Format
PDF
Filesize
7 MB (7746999 bytes)
Series
Cambridge Studies in Mathematical Biology
Pages
304\304
Topic
Education
Time added
2011-06-04 13:46:07

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 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.

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