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Stochastic Processes in the Neurosciences

Stochastic Processes in the Neurosciences

Stochastic Processes in the Neurosciences

Henry C. Tuckwell, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
January 1987
Paperback
9780898712322
$70.00
USD
Paperback

    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.

    Reviews & endorsements

    ' … 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, SIAM Review

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    Product details

    January 1987
    Paperback
    9780898712322
    140 pages
    253 × 172 × 9 mm
    0.24kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

    Table of 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.
      Author
    • Henry C. Tuckwell , Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig