LEADER 03330nam 22006735 450 001 9910424947903321 005 20251113200200.0 010 $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(ODN)ODN0010072037 035 $a(oapen)doab33944 035 $a(EXLCZ)994100000011528439 100 $a20201030d2021 u| 0 101 0 $aeng 135 $aurnn#---mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModeling Excitable Tissue $eThe EMI Framework /$fedited by Aslak Tveito, Kent-Andre Mardal, Marie E. Rognes 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (XVII, 100 p. 25 illus. in color.) 225 1 $aReports on Computational Physiology,$x2730-7743 ;$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,$x2730-7743 ;$v7 606 $aBiomathematics 606 $aMathematics 606 $aMathematical models 606 $aMathematical and Computational Biology 606 $aApplications of Mathematics 606 $aMathematical Modeling and Industrial Mathematics 615 0$aBiomathematics. 615 0$aMathematics. 615 0$aMathematical models. 615 14$aMathematical and Computational Biology. 615 24$aApplications of Mathematics. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a570.285 686 $aMAT003000$2bisacsh 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 $a9910424947903321 996 $aModeling excitable tissue$93358306 997 $aUNINA