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Dynamics of Neural Networks

A Mathematical and Clinical Approach

Michel JAM van Putten author

Format:Hardback

Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Published:19th Dec '20

Currently unavailable, and unfortunately no date known when it will be back

Dynamics of Neural Networks cover

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.

“The book is for sure a valuable contribution to make understandable the concepts of neurophysiology, it’s connection to applied mathematics and the benefits of theoretical achievements for application to clinical problems.” (Claudia simionescu-Badea, zbMATH 1482.92005, 2022)

ISBN: 9783662611821

Dimensions: unknown

Weight: unknown

259 pages

1st ed. 2020