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Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain

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Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book describes the signal processing aspects of neural networks. It begins with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, and then moves on to applications. These applications include small networks of neurons, a theory of mnemonic surfaces, pattern formation and cellular automata, and large networks, such as the complex circuit believed to be involved in focusing attention. This is an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.

Synopsis:

Describes signal processing aspects of neural networks and their applications. This is an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.

Table of Contents

Preface; 1. Some useful electrical circuits; 2. A theory of simple clocks; 3. Some mathematical models of neurons; 4. Signal processing in phase-locked systems; 5. Small physiological control networks; 6. Memory, phase change, and synchronization; 7. Attention and other brain phenomena; Appendices; References; Index.

Product Details

ISBN:
9780521590754
Author:
HOPPENSTEADT, FRANK C. (ARIZONA STATE UNIVERSITY)
Publisher:
Cambridge University Press
Editor:
Cannings, C.
Author:
Hoppensteadt, F. C.
Author:
Hoppensteadt
Author:
Segel, L. A.
Author:
Cannings, C.
Location:
Cambridge
Subject:
Biology
Subject:
Applied
Subject:
Neurons -- Mathematical models.
Subject:
Neural circuitry -- Mathematical models.
Subject:
Life Sciences - Biology - General
Subject:
Probability & Statistics - General
Subject:
Mathematical models
Subject:
Neurons
Subject:
Biology-General
Copyright:
Edition Number:
2
Edition Description:
2ND ED
Series:
CAMBRIDGE STUDIES IN MATHEMATICAL BIOLOGY
Series Volume:
6
Publication Date:
June 2006
Binding:
Paperback
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
69 line diagrams 1 table
Pages:
232
Dimensions:
237 x 158 in.

Related Subjects

Religion » Comparative Religion » General
Science and Mathematics » Biology » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain New Hardcover
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$128.25 In Stock
Product details 232 pages Cambridge University Press - English 9780521590754 Reviews:
"Synopsis" by , This book describes the signal processing aspects of neural networks. It begins with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, and then moves on to applications. These applications include small networks of neurons, a theory of mnemonic surfaces, pattern formation and cellular automata, and large networks, such as the complex circuit believed to be involved in focusing attention. This is an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.
"Synopsis" by , Describes signal processing aspects of neural networks and their applications. This is an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.
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