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  1. Home
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  3. Introduction to Theoretical Neurobiology
  • Cited by 145
  • Volume 2: Nonlinear and Stochastic Theories
  • Henry C. Tuckwell, Monash University, Victoria
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1988
Online ISBN:
9780511623202
DOI:
https://doi.org/10.1017/CBO9780511623202
Subjects:
Mathematics, Mathematical Biology, Geometry and Topology
Series:
Cambridge Studies in Mathematical Biology (8)
Information

Book description

The second part of this two-volume set contains advanced aspects of the quantitative theory of the dynamics of neurons. It begins with an introduction to the effects of reversal potentials on response to synaptic input. It then develops the theory of action potential generation based on the seminal Hodgkin-Huxley equations and gives methods for their solution in the space-clamped and non-space-clamped cases. The remainder of the book discusses stochastic models of neural activity and ends with a statistical analysis of neuronal data with emphasis on spike trains. The mathematics is more complex in this volume than in the first volume and involves numerical methods of solution of partial differential equations and the statistical analysis of point processes.

Reviews

"...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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