Overview
- This text provides easy access to a field of growing importance
- It requires only knowledge of basic calculus and linear algebra
- The text is open access, and the software for all examples of the text is freely available
Part of the book series: Simula SpringerBriefs on Computing (SBRIEFSC, volume 14)
Part of the book sub series: Reports on Computational Physiology (RCP)
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About this book
This open access text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations. Every method is implemented in Matlab and the codes are freely available online. By using these codes, the reader becomes familiar with classical models of electrophysiology, like the cable equation, the monodomain model, and the bidomain model. But modern models that have just started to gain attention in the field of computational electrophysiology are also presented. If you just want to read one book, it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text.
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Keywords
Table of contents (12 chapters)
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Front Matter
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Tools for Differential Equations and Numerical Methods
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Differential Equations for Studies in Computational Electrophysiology
Authors: Karoline Horgmo Jæger, Aslak Tveito
Series Title: Simula SpringerBriefs on Computing
DOI: https://doi.org/10.1007/978-3-031-30852-9
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2023
Softcover ISBN: 978-3-031-30851-2Published: 28 May 2023
eBook ISBN: 978-3-031-30852-9Published: 27 May 2023
Series ISSN: 2512-1677
Series E-ISSN: 2512-1685
Edition Number: 1
Number of Pages: XV, 128
Number of Illustrations: 38 illustrations in colour
Topics: Mathematics, general, Computer Science, general, Life Sciences, general, Biological and Medical Physics, Biophysics