Differential Equations for Studies in Computational Electrophysiology / by Karoline Horgmo Jæger, Aslak Tveito.
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 fundament...
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Superior document: | Reports on Computational Physiology, 14 |
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Place / Publishing House: | Cham : : Springer Nature Switzerland :, Imprint: Springer,, 2023. |
Year of Publication: | 2023 |
Edition: | 1st ed. 2023. |
Language: | English |
Series: | Reports on Computational Physiology,
14 |
Physical Description: | 1 online resource (134 pages) |
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(CKB)5590000001065390 (MiAaPQ)EBC30553113 (Au-PeEL)EBL30553113 (DE-He213)978-3-031-30852-9 (PPN)270615792 (OCoLC)1380865208 (EXLCZ)995590000001065390 |
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Horgmo Jæger, Karoline. Differential Equations for Studies in Computational Electrophysiology [electronic resource] / by Karoline Horgmo Jæger, Aslak Tveito. 1st ed. 2023. Cham : Springer Nature Switzerland : Imprint: Springer, 2023. 1 online resource (134 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Reports on Computational Physiology, 2730-7743 ; 14 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. 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 Mathematics. Computer science. Biology. Bioengineering. Computer Science. Biological Sciences. Biological and Physical Engineering. 3-031-30851-4 Tveito, Aslak. |
language |
English |
format |
Electronic eBook |
author |
Horgmo Jæger, Karoline. |
spellingShingle |
Horgmo Jæger, Karoline. Differential Equations for Studies in Computational Electrophysiology Reports on Computational Physiology, 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. |
author_facet |
Horgmo Jæger, Karoline. Tveito, Aslak. |
author_variant |
j k h jk jkh |
author2 |
Tveito, Aslak. |
author2_variant |
a t at |
author2_role |
TeilnehmendeR |
author_sort |
Horgmo Jæger, Karoline. |
title |
Differential Equations for Studies in Computational Electrophysiology |
title_full |
Differential Equations for Studies in Computational Electrophysiology [electronic resource] / by Karoline Horgmo Jæger, Aslak Tveito. |
title_fullStr |
Differential Equations for Studies in Computational Electrophysiology [electronic resource] / by Karoline Horgmo Jæger, Aslak Tveito. |
title_full_unstemmed |
Differential Equations for Studies in Computational Electrophysiology [electronic resource] / by Karoline Horgmo Jæger, Aslak Tveito. |
title_auth |
Differential Equations for Studies in Computational Electrophysiology |
title_new |
Differential Equations for Studies in Computational Electrophysiology |
title_sort |
differential equations for studies in computational electrophysiology |
series |
Reports on Computational Physiology, |
series2 |
Reports on Computational Physiology, |
publisher |
Springer Nature Switzerland : Imprint: Springer, |
publishDate |
2023 |
physical |
1 online resource (134 pages) |
edition |
1st ed. 2023. |
contents |
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. |
isbn |
3-031-30852-2 3-031-30851-4 |
issn |
2730-7743 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA1-939 |
callnumber-sort |
QA 11 3939 |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
oclc_num |
1380865208 |
work_keys_str_mv |
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Differential Equations for Studies in Computational Electrophysiology |
container_title |
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