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

Buch 23 von 53: Interdisciplinary Applied Mathematics

Ermentrout, G. Bard; Terman, David H.

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

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
038787707X
ISBN 13 
9780387877075
Einband
Gebundene Ausgabe
Anzahl der Seiten
437
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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

Vorgestellte Ausgabe

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