Kniha Neurodynamics Stephen Coombes

Neurodynamics

An Applied Mathematics Perspective

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 788
This book is about the dynamics of neural systems, and should be suitable for those with a backgroun...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2023
Stránek
514
EAN
9783031219153
Enbook ID
41908534
Vydavatel
Hmotnost
1047
Rozměry
155 x 235

Kompletní popis

This book is about the dynamics of neural systems, and should be suitable for those with a background in mathematics, physics, or engineering who want to see how their knowledge and skill-sets can be applied in a neurobiological context. No prior knowledge of neuroscience is assumed, nor is advanced understanding of all aspects of applied mathematics! Rather models and methods are introduced in the context of a typical neural phenomenon and a narrative developed that will allow the reader to test their understanding by tackling a set of mathematical problems at the end of each chapter. The emphasis is on mathematical- as opposed to computational-neuroscience, though stresses calculation above theorem and proof. The book presents necessary mathematical material in a digestible and compact form when required for specific topics.The book has eight chapters, progressing from the cell to the tissue, and an extensive set of references. It includes Markov chain models for ions, differential equations for single neuron models, idealised phenomenological models, phase-oscillator networks, spiking networks, and integro-differential equations for large scale brain activity, with delays and stochasticity thrown in for good measure. One common methodological element that arises throughout the book is the use of techniques from nonsmooth dynamical systems to form tractable models and make explicit progress in calculating solutions for rhythmic neural behaviour, synchrony, waves, patterns, and their stability.This book was written for those with an interest in applied mathematics seeking to expand their horizons to cover the dynamics of neural systems. It is suitable for a Masters level course or by postgraduate researchers starting in the field of mathematical neuroscience.

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