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008 201030s2021 sz | s |||| 0|eng d
020 _a9783030611576
_9978-3-030-61157-6
024 7 _a10.1007/978-3-030-61157-6
_2doi
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPBW
_2bicssc
072 7 _aPSA
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072 7 _aMAT003000
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072 7 _aPSAX
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082 0 4 _a570.285
_223
245 1 0 _aModeling Excitable Tissue
_h[electronic resource] :
_bThe EMI Framework /
_cedited by Aslak Tveito, Kent-Andre Mardal, Marie E. Rognes.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXVII, 100 p. 25 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aReports on Computational Physiology,
_x2730-7743 ;
_v7
505 0 _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.
506 0 _aOpen Access
520 _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.
650 0 _aBiomathematics.
650 0 _aMathematics.
650 0 _aMathematical models.
650 1 4 _aMathematical and Computational Biology.
650 2 4 _aApplications of Mathematics.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
700 1 _aTveito, Aslak.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aMardal, Kent-Andre.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aRognes, Marie E.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030611569
776 0 8 _iPrinted edition:
_z9783030611583
830 0 _aReports on Computational Physiology,
_x2730-7743 ;
_v7
856 4 0 _uhttps://doi.org/10.1007/978-3-030-61157-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c37744
_d37744