Introduction to Theoretical Neurobiology

Henry C. Tuckwell

doi:10.1017/CBO9780511623202

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.

"...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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Contents

Frontmatter
pp i-vi
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Contents
pp vii-viii
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Preface
pp ix-xii
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7 - Subthreshold response to synaptic input
pp 1-39
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8 - Theory of the action potential
pp 40-110
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9 - The stochastic activity of neurons
pp 111-190
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10 - The analysis of stochastic neuronal activity
pp 191-246
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References
pp 247-263
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Index
pp 264-265
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Introduction to Theoretical Neurobiology

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

Preface
pp ix-xii

7 - Subthreshold response to synaptic input
pp 1-39

8 - Theory of the action potential
pp 40-110

9 - The stochastic activity of neurons
pp 111-190

10 - The analysis of stochastic neuronal activity
pp 191-246

References
pp 247-263

Index
pp 264-265

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Introduction to Theoretical Neurobiology

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