Introduction to Theoretical Neurobiology: Volume 2, Nonlinear and Stochastic Theories

The second part of this two-volume set contains advanced aspects of the quantitative theory of the dynamics of neurons.

Henry C. Tuckwell (Author)

9780521019323, Cambridge University Press

Paperback, published 8 September 2005

280 pages, 81 b/w illus. 1 table
22.9 x 15.4 x 1.8 cm, 0.426 kg

"...an up-to-date comprehensive effort that encompasses the major analytical approaches to neuronal modeling at the cellular level." Physics Today

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.

Preface
7. Subthreshold response to synaptic input
8. Theory of the action potential
9. The stochastic activity of neurons
10. The analysis of stochastic neuronal activity
References
Index.

Subject Areas: Maths for engineers [TBJ], Neurosciences [PSAN], Maths for scientists [PDE]