03732nam 22008055 450 99646656330331620230125181425.03-030-61157-410.1007/978-3-030-61157-6(CKB)4100000011528439(DE-He213)978-3-030-61157-6(MiAaPQ)EBC6382138(Au-PeEL)EBL6382138(OCoLC)1243532880(oapen)https://directory.doabooks.org/handle/20.500.12854/33944(PPN)25887080X(EXLCZ)99410000001152843920201030d2021 fy 0engurnn#---mamaatxtrdacontentcrdamediacrrdacarrierModeling excitable tissue the EMI framework /editors, Aslak Tveito, Kent-Andre Mardal, Marie E. Rognes1st edition 2021.Springer Nature2021Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (XVII, 100 p. 25 illus. in color.)Reports on Computational Physiology,2730-7735 ;73-030-61156-6 Derivation of a cell-based mathematical model of excitable cells -- A cell-based model for ionic electrodiffusion in excitable tissue -- Modeling cardiac mechanics on a subcellular scale -- Operator splitting and finite difference schemes for solving the EMI model -- Solving the EMI equations using finite element methods -- Iterative solvers for EMI models -- Improving neural simulations with the EMI model -- Index.This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.Reports on Computational Physiology,2730-7735 ;7BioinformaticsCell physiologyComputational biologyExcitation (Physiology)Mathematical modelsMathematical modelsMathematical and Computational BiologyApplications of MathematicsMathematical Modeling and Industrial Mathematicsapplied mathematicsscientific computingcomputational physiologyfinite element methodscardiac modellingbiomechanicsnumerical methodspreconditioningopen accessMaths for scientistsMathematical modellingMaths for engineersBioinformatics.Cell physiology.Computational biology.Excitation (Physiology)Mathematical models.Mathematical models.570.285Tveito Aslakedt41984Tveito Aslak1961-edthttp://id.loc.gov/vocabulary/relators/edtMardal Kent-Andreedthttp://id.loc.gov/vocabulary/relators/edtRognes Marie Eedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996466563303316Modeling excitable tissue3358306UNISA