001467610 000__ 03688cam\\22005897i\4500 001467610 001__ 1467610 001467610 003__ OCoLC 001467610 005__ 20230707003331.0 001467610 006__ m\\\\\o\\d\\\\\\\\ 001467610 007__ cr\un\nnnunnun 001467610 008__ 230601s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001467610 020__ $$a9783031308529$$q(electronic bk.) 001467610 020__ $$a3031308522$$q(electronic bk.) 001467610 020__ $$z9783031308512 001467610 0247_ $$a10.1007/978-3-031-30852-9$$2doi 001467610 035__ $$aSP(OCoLC)1380865208 001467610 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP 001467610 049__ $$aISEA 001467610 050_4 $$aQP341 001467610 08204 $$a572/.437015118$$223/eng/20230601 001467610 1001_ $$aJæger, Karoline Horgmo,$$eauthor. 001467610 24510 $$aDifferential equations for studies in computational electrophysiology /$$cKaroline Horgmo Jæger, Aslak Tveito. 001467610 264_1 $$aCham :$$bSpringer,$$c2023. 001467610 300__ $$a1 online resource (xv, 128 pages) :$$bcolor illustrations. 001467610 336__ $$atext$$btxt$$2rdacontent 001467610 337__ $$acomputer$$bc$$2rdamedia 001467610 338__ $$aonline resource$$bcr$$2rdacarrier 001467610 4901_ $$aReports on computational physiology,$$x2730-7743 ;$$vvolume 14 001467610 504__ $$aIncludes bibliographical references and index. 001467610 5050_ $$a1. Getting Started -- 2. A System of Ordinary Differential Equations -- 3. The Diffusion Equation -- 4. Implicit Numerical Methods -- 5. Improved Accuracy -- 6. A Simple Cable Equation -- 7. Operator Splitting -- 8. Membrane Models -- 9. The Cable Equation -- 10. Spatial Models of Cardiac Electrophysiology -- 11. The Extracellular-Membrane-Intracellular (EMI) Model -- 12. The Poisson-Nernst-Planck (PNP) Model -- Index. 001467610 5060_ $$aOpen access.$$5GW5XE 001467610 520__ $$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. 001467610 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 1, 2023). 001467610 650_0 $$aElectrophysiology$$xMathematical models. 001467610 650_0 $$aDifferential equations. 001467610 655_0 $$aElectronic books. 001467610 7001_ $$aTveito, Aslak,$$d1961-$$eauthor. 001467610 830_0 $$aReports on computational physiology ;$$v14.$$x2730-7743 001467610 852__ $$bebk 001467610 85640 $$3Springer Nature$$uhttps://link.springer.com/10.1007/978-3-031-30852-9$$zOnline Access$$91397441.2 001467610 909CO $$ooai:library.usi.edu:1467610$$pGLOBAL_SET 001467610 980__ $$aBIB 001467610 980__ $$aEBOOK 001467610 982__ $$aEbook 001467610 983__ $$aOnline 001467610 994__ $$a92$$bISE