LEADER 03439nam 22006495 450 001 996547966703316 005 20230527111711.0 010 $a3-031-30852-2 024 7 $a10.1007/978-3-031-30852-9 035 $a(CKB)5590000001065390 035 $a(MiAaPQ)EBC30553113 035 $a(Au-PeEL)EBL30553113 035 $a(DE-He213)978-3-031-30852-9 035 $a(PPN)270615792 035 $a(OCoLC)1380865208 035 $a(EXLCZ)995590000001065390 100 $a20230527d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential Equations for Studies in Computational Electrophysiology$b[electronic resource] /$fby Karoline Horgmo Jęger, Aslak Tveito 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (134 pages) 225 1 $aReports on Computational Physiology,$x2730-7743 ;$v14 311 $a3-031-30851-4 327 $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. 330 $aThis open access text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations. Every method is implemented in Matlab and the codes are freely available online. By using these codes, the reader becomes familiar with classical models of electrophysiology, like the cable equation, the monodomain model, and the bidomain model. But modern models that have just started to gain attention in the field of computational electrophysiology are also presented. If you just want to read one book, it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text. 410 0$aReports on Computational Physiology,$x2730-7743 ;$v14 606 $aMathematics 606 $aComputer science 606 $aBiology 606 $aBioengineering 606 $aMathematics 606 $aComputer Science 606 $aBiological Sciences 606 $aBiological and Physical Engineering 615 0$aMathematics. 615 0$aComputer science. 615 0$aBiology. 615 0$aBioengineering. 615 14$aMathematics. 615 24$aComputer Science. 615 24$aBiological Sciences. 615 24$aBiological and Physical Engineering. 676 $a510 700 $aHorgmo Jęger$b Karoline$01363116 701 $aTveito$b Aslak$041984 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996547966703316 996 $aDifferential Equations for Studies in Computational Electrophysiology$93382899 997 $aUNISA