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oapen-20.500.12657-635762023-06-21T04:24:53Z Differential Equations for Studies in Computational Electrophysiology Horgmo Jæger, Karoline Tveito, Aslak Action potential Cardiomyocytes Differential equations numerical methods software computational physiology computational electrophysiology Cable equation bidomain cell-based models bic Book Industry Communication::P Mathematics & science::PB Mathematics bic Book Industry Communication::U Computing & information technology::UY Computer science bic Book Industry Communication::P Mathematics & science::PS Biology, life sciences::PSA Life sciences: general issues bic Book Industry Communication::P Mathematics & science::PH Physics::PHV Applied physics::PHVN Biophysics 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. 2023-06-20T10:29:08Z 2023-06-20T10:29:08Z 2023 book ONIX_20230620_9783031308529_27 9783031308529 9783031308512 https://library.oapen.org/handle/20.500.12657/63576 eng Simula SpringerBriefs on Computing; Reports on Computational Physiology application/pdf n/a 978-3-031-30852-9.pdf https://link.springer.com/978-3-031-30852-9 Springer Nature Springer Nature Switzerland 10.1007/978-3-031-30852-9 10.1007/978-3-031-30852-9 6c6992af-b843-4f46-859c-f6e9998e40d5 b1904811-dde1-4b07-bd62-e43f39274e02 9783031308529 9783031308512 Springer Nature Switzerland 14 128 Cham [...] open access
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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.
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