TY  - BOOK
AU  - Horgmo Jæger,Karoline
AU  - Tveito,Aslak
ED  - SpringerLink (Online service)
TI  - Differential Equations for Studies in Computational Electrophysiology
T2  - Reports on Computational Physiology,
SN  - 9783031308529
AV  - QA1-939 
U1  - 510 23
PY  - 2023///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Mathematics
KW  - Computer science
KW  - Biology
KW  - Bioengineering
KW  - Computer Science
KW  - Biological Sciences
KW  - Biological and Physical Engineering
N1  - 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; Open Access
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-30852-9
ER  -