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Introduction to theoretical neurobiology. Volume 2: Nonlinear and stochastic theories. (English) Zbl 0647.92009
Cambridge Studies in Mathematical Biology 8(vol.2). Cambridge (UK) etc.: Cambridge University Press (ISBN 0-521-35217-7/hbk; 978-0-511-62320-2/ebook). xi, 265 p. (1988).
[For Vol. 1 see the preceding review, Zbl 0647.92008.]
The second volume of the book contains more advanced theories of neuronal activity. The reversal potentials for ionic currents are incorporated into the cable equation in the seventh chapter. In this way nonlinear interaction between excitat in the form of a power function. He then demonstrates how these sufficiency conditions can be checked by solving an equivalent linear programming problem.
These results require the compactness of S, but the author also shows how to extend his results to the flow in the positive quadrant determined by Lotka-Volterra equations.
Reviewer: J.M.Cushing

MSC:
92Cxx Physiological, cellular and medical topics
92-02 Research exposition (monographs, survey articles) pertaining to biology
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