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Cambridge Studies in Mathematical Biology #8: Introduction to Theoretical Neurobiology

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Cambridge Studies in Mathematical Biology #8: Introduction to Theoretical Neurobiology Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

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.

Table of Contents

Preface; 1. Introductory neuroanatomy and neurophysiology: the properties of motoneurons; 2. The classical theory of membrane potentials; 3. The Lapicque model of the nerve cell; 4. Linear cable theory for nerve cylinders and dendritic trees: steady-state solutions; 5. Time-dependent cable theory for nerve cylinders and dendritic trees; 6. Rall's model neuron; References.

Product Details

ISBN:
9780521022224
Author:
Tuckwell, Henry C.
Publisher:
Cambridge University Press
Editor:
Cannings, C.
Editor:
Hoppensteadt, F. C.
Author:
Henry C., Tuckwell
Location:
Cambridge
Subject:
Applied
Subject:
Neuroscience
Subject:
Physiology
Subject:
Mathematical models
Subject:
Neurons
Subject:
Neurons -- Mathematical models.
Subject:
Life Sciences - Biology - General
Subject:
Neurons--Mathematical models Neurons--Mathema
Subject:
Neural transmission -- Mathematical models.
Subject:
Biology-General
Edition Description:
Trade paper
Series:
Cambridge Studies in Mathematical Biology
Series Volume:
8
Publication Date:
20050931
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Y
Pages:
304
Dimensions:
5.98x9.01x.68 in. .99 lbs.

Related Subjects

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History and Social Science » World History » General
Science and Mathematics » Biology » General
Science and Mathematics » Mathematics » Applied

Cambridge Studies in Mathematical Biology #8: Introduction to Theoretical Neurobiology New Trade Paper
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Product details 304 pages Cambridge University Press - English 9780521022224 Reviews:
"Synopsis" by , 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.
"Synopsis" by , 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.

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