Tuckwell, Henry C. 1943-

Introduction to theoretical neurobiology. Volume 2, Nonlinear and stochastic theories / Henry C. Tuckwell. - Cambridge : Cambridge University Press, 1988. - 1 online resource (xi, 265 pages) : digital, PDF file(s). - Cambridge studies in mathematical biology ; 8 . - Cambridge studies in mathematical biology ; 8. .

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

9780511623202 (ebook)


Neurons--Mathematical models.
Neural transmission--Mathematical models.

QP361 / .T76 1988

599/.0188