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An Introduction to the Mathematics of Neurons

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

2nd Edition


Part of Cambridge Studies in Mathematical Biology

  • Date Published: June 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521599290

$ 57.00

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About the Authors
  • 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 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, a theory of mnemonic surfaces is developed and studied and material on pattern formation and cellular automata is presented. Finally, large networks are studied, such as the thalamus-reticular complex circuit, believed to be involved in focusing attention, and the development of connections in the visual cortex. Additional material is also provided about nonlinear wave propagation in networks. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.

    • Bifurcation analysis of neural networks
    • Analysis of neural networks in the frequency domain
    • Modelling and simulation of large brain structures
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    Product details

    • Edition: 2nd Edition
    • Date Published: June 1997
    • format: Paperback
    • isbn: 9780521599290
    • length: 232 pages
    • dimensions: 229 x 153 x 15 mm
    • weight: 0.315kg
    • contains: 69 b/w illus. 1 table
    • availability: Available
  • Table of Contents

    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

  • Author

    Frank C. Hoppensteadt, Arizona State University

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