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Dynamics of Neural Networks

A Mathematical and Clinical Approach

Authors: van Putten, Michel J.A.M.

  • Treats essentials of neurophysiology and related mathematical concepts
  • Offers the mathemaics of physiology in a clinical context
  • Focusses on EEG generation, ischaemia, epilepsy and neurostimulation
  • Provides exercises at the end of each chapter; answers are included
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  • ISBN 978-3-662-61184-5
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  • Due: March 11, 2021
  • ISBN 978-3-662-61182-1
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  • Immediate ebook access, if available*, with your print order
About this Textbook

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, we present 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 basic knowledge about essentials of (clinical) neurophysiology, although most concepts are shortly 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 clinical applications   In addition, clinicians with an interest in dynamics of neural networks may find this book useful, too.


About the authors

Michel van Putten is the co-founder of Clinical Science Systems, and he studied Medicine in Leiden and Applied Physics in Delft. In 2000, he got his PhD in Applied Physics from Delft, and registered as a clinical neurologist.

Michel van Putter is heading the department of Clinical Neurophysiology of the Medisch Spectrum Twente, a large teaching hospital, and he chairs Clinical Neurophysiology (CNPH) at the University of Twente (utwente.nl).

His research involves the pathophysiology of epilepsy, ischaemia, brain monitoring in the ICU, and fundamentals of EEG generation.

Buy this book

eBook  
  • ISBN 978-3-662-61184-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover ca. $99.99
price for USA in USD
  • Due: March 11, 2021
  • ISBN 978-3-662-61182-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order

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Bibliographic Information

Bibliographic Information
Book Title
Dynamics of Neural Networks
Book Subtitle
A Mathematical and Clinical Approach
Authors
Copyright
2021
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany, part of Springer Nature
eBook ISBN
978-3-662-61184-5
Hardcover ISBN
978-3-662-61182-1
Edition Number
1
Number of Illustrations
50 b/w illustrations, 100 illustrations in colour
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.