00757nam0-22002651i-450-99000210395040332120060407102312.0000210395FED01000210395(Aleph)000210395FED0100021039520030910d1990----km-y0itay50------baengUSDatabase systemsprinciples, design and implementationCatherine M. RicardoNew YorkMacmillan Publishing Company1990576 p.25 cmRicardo,Catherine M.88962ITUNINARICAUNIMARCBK99000210395040332162 518.1 RICDEPA 6549DAGEADAGEADatabase systems394655UNINA01132nam a2200313 i 450099100081764970753620020507173952.0980720s1995 us ||| | eng 0387943013b10761378-39ule_instLE01302772ExLDip.to Matematicaeng515.352AMS 34-01LC QA371.R595Ross, Clay C.286050Differential equations :an introduction with Mathematica /Clay C. RossNew York :Springer-Verlag,c1995xiii, 503 p. :ill. ;25 cmTextbooks in mathematical sciencesIncludes bibliographical references (p. [491]-493) and indexesDifferential equationsMathematica (Computer file).b1076137823-02-1728-06-02991000817649707536LE013 34-XX ROS11 (1995)12013000101521le013-E0.00-l- 00000.i1085664x28-06-02Differential equations81948UNISALENTOle01301-01-98ma -engus 0103439nam 22006495 450 99654796670331620230527111711.03-031-30852-210.1007/978-3-031-30852-9(CKB)5590000001065390(MiAaPQ)EBC30553113(Au-PeEL)EBL30553113(DE-He213)978-3-031-30852-9(PPN)270615792(OCoLC)1380865208(EXLCZ)99559000000106539020230527d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDifferential Equations for Studies in Computational Electrophysiology[electronic resource] /by Karoline Horgmo Jæger, Aslak Tveito1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (134 pages)Reports on Computational Physiology,2730-7743 ;143-031-30851-4 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.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.Reports on Computational Physiology,2730-7743 ;14MathematicsComputer scienceBiologyBioengineeringMathematicsComputer ScienceBiological SciencesBiological and Physical EngineeringMathematics.Computer science.Biology.Bioengineering.Mathematics.Computer Science.Biological Sciences.Biological and Physical Engineering.510Horgmo Jæger Karoline1363116Tveito Aslak41984MiAaPQMiAaPQMiAaPQBOOK996547966703316Differential Equations for Studies in Computational Electrophysiology3382899UNISA