Overview
- 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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Table of contents (11 chapters)
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Front Matter
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Physiology of Neurons and Synapses
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Front Matter
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Dynamics
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Front Matter
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Networks
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Front Matter
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The Electroencephalogram
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Front Matter
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Pathology
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Front Matter
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Neurostimulation
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Dynamics of Neural Networks
Book Subtitle: A Mathematical and Clinical Approach
Authors: Michel J.A.M. van Putten
DOI: https://doi.org/10.1007/978-3-662-61184-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 2020
Hardcover ISBN: 978-3-662-61182-1Published: 19 December 2020
eBook ISBN: 978-3-662-61184-5Published: 18 December 2020
Edition Number: 1
Number of Pages: XVII, 259
Number of Illustrations: 98 b/w illustrations, 40 illustrations in colour
Topics: Biological and Medical Physics, Biophysics, Biomedical Engineering and Bioengineering, Neurobiology, Applications of Nonlinear Dynamics and Chaos Theory, Neurology, Signal, Image and Speech Processing