Mathematical Foundations of Neuroscience

Nonfiction, Science & Nature, Mathematics, Applied, Science, Biological Sciences, Zoology
Cover of the book Mathematical Foundations of Neuroscience by G. Bard Ermentrout, David H. Terman, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: G. Bard Ermentrout, David H. Terman ISBN: 9780387877082
Publisher: Springer New York Publication: July 1, 2010
Imprint: Springer Language: English
Author: G. Bard Ermentrout, David H. Terman
ISBN: 9780387877082
Publisher: Springer New York
Publication: July 1, 2010
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Stem Cells Handbook by G. Bard Ermentrout, David H. Terman
Cover of the book Clinical Aspects of Hearing by G. Bard Ermentrout, David H. Terman
Cover of the book The Methods of Distances in the Theory of Probability and Statistics by G. Bard Ermentrout, David H. Terman
Cover of the book Theory and Practice of Metal Electrodeposition by G. Bard Ermentrout, David H. Terman
Cover of the book Genetics and Genomics of Rice by G. Bard Ermentrout, David H. Terman
Cover of the book Kernel Learning Algorithms for Face Recognition by G. Bard Ermentrout, David H. Terman
Cover of the book Simulating Society by G. Bard Ermentrout, David H. Terman
Cover of the book Traditional Organized Crime in the Modern World by G. Bard Ermentrout, David H. Terman
Cover of the book Food Freezing and Thawing Calculations by G. Bard Ermentrout, David H. Terman
Cover of the book Male Infertility by G. Bard Ermentrout, David H. Terman
Cover of the book Group Cell Architecture for Cooperative Communications by G. Bard Ermentrout, David H. Terman
Cover of the book An Introduction to Finite Tight Frames by G. Bard Ermentrout, David H. Terman
Cover of the book Real Options and Strategic Technology Venturing by G. Bard Ermentrout, David H. Terman
Cover of the book Essentials of Pharmacology for Anesthesia, Pain Medicine, and Critical Care by G. Bard Ermentrout, David H. Terman
Cover of the book Reviews of Environmental Contamination and Toxicology by G. Bard Ermentrout, David H. Terman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy