LEADER 03732nam 22008055 450 001 996466563303316 005 20230125181425.0 010 $a3-030-61157-4 024 7 $a10.1007/978-3-030-61157-6 035 $a(CKB)4100000011528439 035 $a(DE-He213)978-3-030-61157-6 035 $a(MiAaPQ)EBC6382138 035 $a(Au-PeEL)EBL6382138 035 $a(OCoLC)1243532880 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/33944 035 $a(PPN)25887080X 035 $a(EXLCZ)994100000011528439 100 $a20201030d2021 fy 0 101 0 $aeng 135 $aurnn#---mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModeling excitable tissue $ethe EMI framework /$feditors, Aslak Tveito, Kent-Andre Mardal, Marie E. Rognes 205 $a1st edition 2021. 210 $cSpringer Nature$d2021 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (XVII, 100 p. 25 illus. in color.) 225 1 $aReports on Computational Physiology,$x2730-7735 ;$v7 311 1 $a3-030-61156-6 327 $aDerivation 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. 330 $aThis open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells. 410 0$aReports on Computational Physiology,$x2730-7735 ;$v7 606 $aBioinformatics 606 $aCell physiology 606 $aComputational biology 606 $aExcitation (Physiology)$xMathematical models 606 $aMathematical models 610 $aMathematical and Computational Biology 610 $aApplications of Mathematics 610 $aMathematical Modeling and Industrial Mathematics 610 $aapplied mathematics 610 $ascientific computing 610 $acomputational physiology 610 $afinite element methods 610 $acardiac modelling 610 $abiomechanics 610 $anumerical methods 610 $apreconditioning 610 $aopen access 610 $aMaths for scientists 610 $aMathematical modelling 610 $aMaths for engineers 615 0$aBioinformatics. 615 0$aCell physiology. 615 0$aComputational biology. 615 0$aExcitation (Physiology)$xMathematical models. 615 0$aMathematical models. 676 $a570.285 700 $aTveito$b Aslak$4edt$041984 702 $aTveito$b Aslak$f1961-$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMardal$b Kent-Andre$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRognes$b Marie E$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466563303316 996 $aModeling excitable tissue$93358306 997 $aUNISA