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Modeling excitable tissuethe EMI fra...

Mardal, Kent-Andre.

Modeling excitable tissuethe EMI framework /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modeling excitable tissueedited by Aslak Tveito, Kent-Andre Mardal, Marie E. Rognes.
Reminder of title:	the EMI framework /
other author:	Tveito, Aslak.
Published:	Cham :Springer International Publishing :2021.
Description:	xvii, 100 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Excitation (Physiology)Mathematical models.
Online resource:	https://doi.org/10.1007/978-3-030-61157-6
ISBN:	9783030611576$q(electronic bk.)

Modeling excitable tissuethe EMI framework /
Modeling excitable tissuethe EMI framework /[electronic resource] :edited by Aslak Tveito, Kent-Andre Mardal, Marie E. Rognes. - Cham :Springer International Publishing :2021. - xvii, 100 p. :ill., digital ;24 cm. - Simula SpringerBriefs on computing: Reports on computational physiology,v.72730-7735 ;. - Simula SpringerBriefs on computing.Reports on computational physiology ;v.7..

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.

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.

ISBN: 9783030611576$q(electronic bk.)

Standard No.: 10.1007/978-3-030-61157-6doiSubjects--Topical Terms:

887797
Excitation (Physiology)
--Mathematical models.

LC Class. No.: QP363 / .M63 2021

Dewey Class. No.: 612.014

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505 0 $a 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.
506 $a Open access.
520 $a 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.
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700 1 $a Rognes, Marie E. $3 887795
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