Overview
- Includes access to Matlab codes generating the figures
- Exercises at widely varying levels are included at the end of every chapter
- Detailed writing allows for self-study opportunities
- Includes supplementary material: sn.pub/extras
Part of the book series: Texts in Applied Mathematics (TAM, volume 66)
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Table of contents (40 chapters)
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Front Matter
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Modeling a Single Neuron
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Front Matter
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Dynamics of Single Neuron Models
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Front Matter
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Keywords
About this book
This book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science. An undergraduate introduction to differential equations is more than enough mathematical background. Only a slim, high school-level background in physics is assumed, and none in biology.
Topics include models of individual nerve cells and their dynamics, models of networks of neurons coupled by synapses and gap junctions, origins and functions of population rhythms in neuronal networks, and models of synaptic plasticity.
An extensive online collection of Matlab programs generating the figures accompanies the book.
Reviews
“The book is supplemented with a helpful library of Matlab scripts that generate many of the plots and numerical results presented in it. The exercises encourage the readers to modify the scripts to create new plots ... the book takes the reader on a fascinating journey of neuronal dynamics via introduction, analysis and numerical simulation of relevant dynamical systems. It is written with clarity and rigor.” (Oksana Bihun, zbMATH 1382.92001, 2018)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: An Introduction to Modeling Neuronal Dynamics
Authors: Christoph Börgers
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-3-319-51171-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Hardcover ISBN: 978-3-319-51170-2Published: 25 April 2017
Softcover ISBN: 978-3-319-84585-2Published: 18 July 2018
eBook ISBN: 978-3-319-51171-9Published: 17 April 2017
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XIII, 457
Number of Illustrations: 170 b/w illustrations, 186 illustrations in colour
Topics: Mathematical Models of Cognitive Processes and Neural Networks, Mathematical and Computational Biology, Neurosciences, Statistical Physics and Dynamical Systems, Vibration, Dynamical Systems, Control