Stochastic Processes in the Neurosciences

by Henry C. Tuckwell

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1989 / v + 129 pages / Softcover / ISBN: 978-0-898712-32-2 / List Price $66.50 / SIAM/CBMS Member Price $46.55 / Order Code CB56

"... an excellent (and as far as I know unique) exposition of the mathematical modelling of neural stochastic processes ... Tuckwell is fully conversant with the basic neurobiological underpinnings and does an excellent job of presenting in a short treatment those fundamental motivations." – Karl Gustafson, University of Colorado, SIAM Review, Vol. 32, No. 2, June 1990

This monograph is centered on quantitative analysis of nerve-cell behavior. The work is foundational, with many higher order problems still remaining, especially in connection with neural networks. Thoroughly addressed topics include stochastic problems in neurobiology, and the treatment of the theory of related Markov processes.

Contents
Deterministic Theories and Stochastic Phenomena in Neurobiology; Synaptic Transmission; Early Stochastic Models for Neuronal Activity including Poisson Processes and Random Walks; Discontinuous Markov Processes with Exponential Decay; One-dimensional Diffusion Processes; Stochastic PDEs; Statistical Analysis of Stochastic Neural Activity; Channel Noise; Wiener Kernel Expansions; Stochastic Activity of Neuronal Populations.

ISBN: 9780898712322