A numerical scheme for modeling wavefront propagation on a monolayer of arbitrary geometry
dc.contributor.author | Zozor, Steeve | |
dc.contributor.author | Blanc, Olivier | |
dc.contributor.author | Jacquemet, Vincent | |
dc.contributor.author | Virag, Nathalie | |
dc.contributor.author | Vesin, Jean-Marc | |
dc.contributor.author | Pruvot, Etienne | |
dc.contributor.author | Kappenberger, Lukas | |
dc.contributor.author | Henriquez, Craig S. | |
dc.date.accessioned | 2024-04-17T17:35:46Z | |
dc.date.available | NO_RESTRICTION | fr |
dc.date.available | 2024-04-17T17:35:46Z | |
dc.date.issued | 2003-04-15 | |
dc.identifier.uri | http://hdl.handle.net/1866/32924 | |
dc.publisher | Institute of electrical and electronics engineers | fr |
dc.subject | Atrial modeling | fr |
dc.subject | Cardiac propagation | fr |
dc.subject | Fi nite difference methods | fr |
dc.subject | Triangular mesh | fr |
dc.title | A numerical scheme for modeling wavefront propagation on a monolayer of arbitrary geometry | fr |
dc.type | Article | fr |
dc.contributor.affiliation | Université de Montréal. Faculté de médecine. Département de pharmacologie et physiologie | fr |
dc.identifier.doi | 10.1109/TBME.2003.809505 | |
dcterms.abstract | The majority of models of wavefront propagation in cardiac tissue have assumed relatively simple geometries. Extensions to complicated three-dimensional (3-D) representations are computationally challenging due to issues related both to problem size and to the correct implementation of flux conservation. In this paper, we present a generalized finite difference scheme (GDFS) to simulate the reaction-diffusion system on a 3-D monolayer of arbitrary shape. GDFS is a vertex-centered variant of the finite-volume method that ensures local flux conservation. Owing to an effectively lower dimensionality, the overall computation time is reduced compared to full 3-D models at the same spatial resolution. We present the theoretical background to compute both the wavefront conduction and local electrograms using a matrix formulation. The same matrix is used for both these quantities. We then give some results of simulation for simple monolayers and complex monolayers resembling a human atria. | fr |
dcterms.isPartOf | urn:ISSN:0018-9294 | fr |
dcterms.isPartOf | urn:ISSN:1558-2531 | fr |
dcterms.language | eng | fr |
UdeM.ReferenceFournieParDeposant | http://dx.doi.org/10.1109/TBME.2003.809505 | fr |
UdeM.VersionRioxx | Version acceptée / Accepted Manuscript | fr |
oaire.citationTitle | IEEE Transactions on biomedical engineering | fr |
oaire.citationVolume | 50 | fr |
oaire.citationIssue | 4 | fr |
oaire.citationStartPage | 412 | fr |
oaire.citationEndPage | 420 | fr |
Fichier·s constituant ce document
Ce document figure dans la ou les collections suivantes
Ce document diffusé sur Papyrus est la propriété exclusive des titulaires des droits d'auteur et est protégé par la Loi sur le droit d'auteur (L.R.C. (1985), ch. C-42). Il peut être utilisé dans le cadre d'une utilisation équitable et non commerciale, à des fins d'étude privée ou de recherche, de critique ou de compte-rendu comme le prévoit la Loi. Pour toute autre utilisation, une autorisation écrite des titulaires des droits d'auteur sera nécessaire.