Mathematical Neuroscience (Hardcover)

Mathematical Neuroscience By Stanislaw Brzychczy, Roman R. Poznanski Cover Image
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Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics.

Neural models that describe the spatio-temporal evolution of coarse-grained variables--such as synaptic or firing rate activity in populations of neurons --and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling.

Product Details
ISBN: 9780124114685
ISBN-10: 0124114687
Publisher: Academic Press
Publication Date: August 22nd, 2013
Pages: 208
Language: English