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Mathematical Foundations of Neuroscience: 35 (Interdisciplinary Applied Mathematics, 35) - Hardcover

Book 23 of 53: Interdisciplinary Applied Mathematics

Ermentrout, G. Bard; Terman, David H.

 
9780387877075: Mathematical Foundations of Neuroscience: 35 (Interdisciplinary Applied Mathematics, 35)
Hardcover
ISBN 10: 038787707X ISBN 13: 9780387877075
Publisher: Springer, 2010

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David H. Terman is Professor of Mathematics at the Ohio State University.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2010
Language
English
ISBN 10 
038787707X
ISBN 13 
9780387877075
Binding
Hardcover
Number of pages
437

Other Popular Editions of the Same Title

9781461426219: Mathematical Foundations of Neuroscience: 35 (Interdisciplinary Applied Mathematics, 35)

Featured Edition

ISBN 10:  1461426219 ISBN 13:  9781461426219
Publisher: Springer, 2012
Softcover