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

Front Cover
Cambridge University Press, Apr 29, 1988 - Mathematics - 304 pages
0 Reviews
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

the properties of motoneurons
1
2 The classical theory of membrane potentials
33
3 The Lapicque model of the nerve cell
85
steadystate solutions
124
5 Timedependent cable theory for nerve cylinders and dendritic trees
180
6 Rails model neuron
234
References
283
Index
290
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information