Differential equations for studies in computational electrophysiology / Karoline Horgmo Jæger, Aslak Tveito.
Jæger, Karoline Horgmo, author.; Tveito, Aslak, 1961- author.
2023
QP341
Available Online

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Title
Differential equations for studies in computational electrophysiology / Karoline Horgmo Jæger, Aslak Tveito.
Author
Jæger, Karoline Horgmo, author.
ISBN
9783031308529 (electronic bk.)
3031308522 (electronic bk.)
9783031308512
DOI
https://doi.org/10.1007/978-3-031-30852-9
Published
Cham : Springer, 2023.
Language
English
Description
1 online resource (xv, 128 pages) : color illustrations.
Item Number
10.1007/978-3-031-30852-9 doi
Call Number
QP341
Dewey Decimal Classification
572/.437015118
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Open access.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 1, 2023).
Added Author
Tveito, Aslak, 1961- author.
Series
Reports on computational physiology ; 14. 2730-7743
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1. Getting Started
2. A System of Ordinary Differential Equations
3. The Diffusion Equation
4. Implicit Numerical Methods
5. Improved Accuracy
6. A Simple Cable Equation
7. Operator Splitting
8. Membrane Models
9. The Cable Equation
10. Spatial Models of Cardiac Electrophysiology
11. The Extracellular-Membrane-Intracellular (EMI) Model
12. The Poisson-Nernst-Planck (PNP) Model
Index.

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