Mathematical foundations of neuroscience
 Author/Creator
 Ermentrout, Bard.
 Language
 English.
 Imprint
 New York : Springer, c2010.
 Physical description
 xv, 422 p. : ill. (some col.) ; 24 cm.
 Series
 Interdisciplinary applied mathematics ; v. 35.
Access
Available online

Stacks

Unknown
QP357.5 .E76 2010

Unknown
QP357.5 .E76 2010
More options
Contributors
 Contributor
 Terman, David H. (David Hillel)
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 407418) and index.
 Summary
 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. Book Jacket.
Bibliographic information
 Publication date
 2010
 Responsibility
 G. Bard Ermentrout, David H. Terman.
 Series
 Interdisciplinary applied mathematics, 09396047 ; v. 35
 ISBN
 9780387877075
 038787707X
 9780387877082
 0387877088