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Field name	Details
Dewey Class	570.285
Title	Mathematical Foundations of Neuroscience ([EBook]) / by G. Bard Ermentrout, David H. Terman.
Author	Ermentrout, G. Bard
Added Personal Name	Terman, David H.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2010.
Physical Details	XV, 422 pages, 38 illus. in color. : online resource.
Series	Interdisciplinary Applied Mathematics 0939-6047 ; ; 35
ISBN	9780387877082
Summary Note	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.:
Contents note	The Hodgkin-Huxley equations.-Dendrites -- Dynamics -- Voltage-gated channels -- Action potentials -- Synaptic channels -- Noise -- Networks -- Neuro oscillators -- Firing rate models -- Spatially distributed networks.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-87708-2
Links to Related Works	Subject References: Mathematical and Computational Biology . Neurobiology . Neurosciences . Authors: author . Ermentrout, G. Bard . Terman, David H. . Corporate Authors: SpringerLink (Online service) . Series: Interdisciplinary Applied Mathematics . Classification: 570.285 .

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Mathematical Foundations of Neuroscience

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