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020 _a9783031308529
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024 7 _a10.1007/978-3-031-30852-9
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_223
100 1 _aHorgmo Jæger, Karoline.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDifferential Equations for Studies in Computational Electrophysiology
_h[electronic resource] /
_cby Karoline Horgmo Jæger, Aslak Tveito.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2023.
300 _aXV, 128 p. 38 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aReports on Computational Physiology,
_x2730-7743 ;
_v14
505 0 _a1. 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.
506 0 _aOpen Access
520 _aThis 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.
650 0 _aMathematics.
650 0 _aComputer science.
650 0 _aBiology.
650 0 _aBioengineering.
650 1 4 _aMathematics.
650 2 4 _aComputer Science.
650 2 4 _aBiological Sciences.
650 2 4 _aBiological and Physical Engineering.
700 1 _aTveito, Aslak.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031308512
776 0 8 _iPrinted edition:
_z9783031308536
830 0 _aReports on Computational Physiology,
_x2730-7743 ;
_v14
856 4 0 _uhttps://doi.org/10.1007/978-3-031-30852-9
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