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Differential Equations for Studies in Computational Electrophysiology
Karoline Horgmo Jæger and Aslak Tveito
2023
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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
- action potential
- Applied Physics
- Bidomain
- Biology, Life Sciences
- Biophysics
- Cable equation
- cardiomyocytes
- cell-based models
- computational electrophysiology
- computational physiology
- Computer science
- Computing & information technology
- Differential equations
- Life sciences: general issues
- Mathematics
- Mathematics & science
- Numerical methods
- Physics
- Software
- thema EDItEUR::P Mathematics and Science::PB Mathematics
- thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics::PHVN Biophysics
- thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSA Life sciences: general issues
- thema EDItEUR::U Computing and Information Technology::UY Computer science
Links
DOI: 10.1007/978-3-031-30852-9Editions