Dynamics of Neural Networks
A Mathematical and Clinical Approach
Authors: van Putten, Michel
Free Preview- Treats essentials of neurophysiology and related mathematical concepts
- Offers the mathematics of physiology in a clinical context
- Focusses on EEG generation, ischaemia, epilepsy, and neurostimulation
- Provides exercises at the end of each chapter and includes answers
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- About this Textbook
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This book treats essentials from neurophysiology (Hodgkin–Huxley equations, synaptic transmission, prototype networks of neurons) and related mathematical concepts (dimensionality reductions, equilibria, bifurcations, limit cycles and phase plane analysis). This is subsequently applied in a clinical context, focusing on EEG generation, ischaemia, epilepsy and neurostimulation.
The book is based on a graduate course taught by clinicians and mathematicians at the Institute of Technical Medicine at the University of Twente. Throughout the text, the author presents examples of neurological disorders in relation to applied mathematics to assist in disclosing various fundamental properties of the clinical reality at hand. Exercises are provided at the end of each chapter; answers are included.
Basic knowledge of calculus, linear algebra, differential equations and familiarity with MATLAB or Python is assumed. Also, students should have some understanding of essentials of (clinical) neurophysiology, although most concepts are summarized in the first chapters. The audience includes advanced undergraduate or graduate students in Biomedical Engineering, Technical Medicine and Biology. Applied mathematicians may find pleasure in learning about the neurophysiology and clinic essentials applications. In addition, clinicians with an interest in dynamics of neural networks may find this book useful, too.
- About the authors
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Michel van Putten studied Medicine in Leiden and Applied Physics in Delft. In 2000, he got his Ph.D. in Applied Physics from Delft, and registered as a neurologist/clinical neurophysiologist.
Michel van Putten is heading the Department of Clinical Neurophysiology of the Medisch Spectrum Twente, a large teaching hospital, and he chairs the Clinical Neurophysiology (CNPH) group at the University of Twente (utwente.nl).He is co-Founder of Clinical Science Systems, a company that develops clinical EEG software. His research involves the pathophysiology of epilepsy, ischaemia, brain monitoring in the ICU and fundamentals of EEG generation.
- Table of contents (10 chapters)
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Electrophysiology of the Neuron
Pages 3-26
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Synapses
Pages 27-43
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Dynamics in One-Dimension
Pages 47-70
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Dynamics in Two-Dimensional Systems
Pages 71-109
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Elementary Neural Networks and Synchrony
Pages 113-125
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Dynamics of Neural Networks
- Book Subtitle
- A Mathematical and Clinical Approach
- Authors
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- Michel van Putten
- Copyright
- 2020
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag GmbH Germany, part of Springer Nature
- eBook ISBN
- 978-3-662-61184-5
- DOI
- 10.1007/978-3-662-61184-5
- Hardcover ISBN
- 978-3-662-61182-1
- Edition Number
- 1
- Number of Pages
- XVII, 259
- Number of Illustrations
- 98 b/w illustrations, 40 illustrations in colour
- Topics
