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 |
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