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An Introduction to the Mathematics of Neurons : Modeling in the Frequency Domain - Frank C. Hoppensteadt

An Introduction to the Mathematics of Neurons

Modeling in the Frequency Domain

Paperback

Published: 10th November 1997
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This book describes signal processing aspects of neural networks, how we receive and assess information. Beginning with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, it proceeds to applications. These applications include small networks of neurons, such as those used in control of warm-up and flight in moths and control of respiration during exercise in humans. Next, Hoppensteadt develops a theory of mnemonic surfaces and presents material on pattern formation and cellular automata. Finally, the text addresses the large networks, such as the thalamus-reticular complex circuit, that may be involved in focusing attention, and the development of connections in the visual cortex. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.

"The author undoubtedly has a strong and thorough knowledge of both mathematics and neurosciences which allows him to put the reader on what he calls 'the launching point'...an excellent door that opens the researcher to further exploration of the mysteries of the brain. I conclude this review by repeating what is at the end of this very well written book: 'Mathematics is needed to understand how the brain works.'" Catherine Garcia-Reimbert "...a brief and nice introduction to the mathematical methods and models used in the theory of neural networks and their applications." Monatshefte fur Mathematik

Preface
Some useful electrical circuits
A theory of simple clocks
Some mathematical models of neurons
Signal processing in phase-locked systems
Small physiological control networks
Memory, phase change, and synchronization
Attention and other brain phenomena
Appendices
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521599290
ISBN-10: 0521599296
Series: Cambridge Studies in Mathematical Biology
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 232
Published: 10th November 1997
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.3
Weight (kg): 0.32
Edition Number: 2
Edition Type: Revised