TY - BOOK AU - Tveito,Aslak AU - Mardal,Kent-Andre AU - Rognes,Marie E. ED - SpringerLink (Online service) TI - Modeling Excitable Tissue: The EMI Framework T2 - Reports on Computational Physiology, SN - 9783030611576 AV - QH323.5 U1 - 570.285 23 PY - 2021/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Biomathematics KW - Mathematics KW - Mathematical models KW - Mathematical and Computational Biology KW - Applications of Mathematics KW - Mathematical Modeling and Industrial Mathematics N1 - 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; Open Access N2 - 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 UR - https://doi.org/10.1007/978-3-030-61157-6 ER -