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dc.contributor.authorCusimano, N. 
dc.contributor.authorGerardo-Giorda, L.
dc.date.accessioned2017-10-04T18:28:06Z
dc.date.available2017-10-04T18:28:06Z
dc.date.issued2017-10-04
dc.identifier.issn0021-9991
dc.identifier.urihttp://hdl.handle.net/20.500.11824/738
dc.description.abstractClassical models of electrophysiology do not typically account for the effects of high structural heterogeneity in the spatio-temporal description of excitation waves propagation. We consider a modification of the Monodomain model obtained by replacing the diffusive term of the classical formulation with a fractional power of the operator, defined in the spectral sense. The resulting nonlocal model describes different levels of tissue heterogeneity as the fractional exponent is varied. The numerical method for the solution of the fractional Monodomain relies on an integral representation of the nonlocal operator combined with a finite element discretisation in space, allowing to handle in a natural way bounded domains in more than one spatial dimension. Numerical tests in two spatial dimensions illustrate the features of the model. Activation times, action potential duration and its dispersion throughout the domain are studied as a function of the fractional parameter: the expected peculiar behaviour driven by tissue heterogeneities is recovered.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectCardiac electrophysiologyen_US
dc.subjectFractional operatorsen_US
dc.subjectFinite elementsen_US
dc.titleA space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometriesen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doihttps://doi.org/10.1016/j.jcp.2018.02.034
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDES/1PE/MTM2015-69992-Ren_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US


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