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Mathematical Foundations of Neuroscience (Paperback, 2010)
Loot Price: R2,748
Discovery Miles 27 480
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Mathematical Foundations of Neuroscience (Paperback, 2010)
Series: Interdisciplinary Applied Mathematics, 35
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Total price: R2,768
Discovery Miles: 27 680
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This book applies methods from nonlinear dynamics to problems in
neuroscience. It uses modern mathematical approaches to understand
patterns of neuronal activity seen in experiments and models of
neuronal behavior. The intended audience is researchers interested
in applying mathematics to important problems in neuroscience, and
neuroscientists who would like to understand how to create models,
as well as the mathematical and computational methods for analyzing
them. The authors take a very broad approach and use many different
methods to solve and understand complex models of neurons and
circuits. They explain and combine numerical, analytical, dynamical
systems and perturbation methods to produce a modern approach to
the types of model equations that arise in neuroscience. There are
extensive chapters on the role of noise, multiple time scales and
spatial interactions in generating complex activity patterns found
in experiments. The early chapters require little more than basic
calculus and some elementary differential equations and can form
the core of a computational neuroscience course. Later chapters can
be used as a basis for a graduate class and as a source for current
research in mathematical neuroscience. The book contains a large
number of illustrations, chapter summaries and hundreds of
exercises which are motivated by issues that arise in biology, and
involve both computation and analysis. Bard Ermentrout is Professor
of Computational Biology and Professor of Mathematics at the
University of Pittsburgh. David Terman is Professor of Mathematics
at the Ohio State University.
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