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Dynamics of Neural Networks: A Mathematical and Clinical Approach

Putten, Michel J.A.M. van  |  eBook

9783662611845 - Dynamics of Neural Networks: A Mathematical and Clinical Approach
2e hands

Artikelomschrijving

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.

Specificaties

Auteur Putten, Michel J.A.M. van
ISBN/EAN 9783662611845
Verschijningsvorm eBook i
Licentieduur eBook online lezen: 365 days
eBook offline lezen (downloaden): Oneindig
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Artikelomschrijving

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.

Specificaties

Auteur Putten, Michel J.A.M. van
ISBN/EAN 9783662611845
Verschijningsvorm eBook i
Licentieduur eBook online lezen: 365 days
eBook offline lezen (downloaden): Oneindig