https:\/\/mox.polimi.it\/publication-results\/?id=828&tipo=add_qmox<\/a><\/p>\n\n\n\nAbstract:<\/strong>
In this paper we present a multiscale model for human cardiac perfusion which accounts for the different length scales of the vessels in the coronary tree. Epicardial vessels are represented with fully three-dimensional (3D) fluid-dynamics, whereas intramural vessels are modeled as a multi-compartment porous medium. The coupling of these models takes place through interface conditions based on the continuity of mass and momentum. To estimate the physical parameters of the multi-compartment model, a virtual intramural vascular network is generated using a novel algorithm which works in non-convex domains. Modeling epicardial vessels with a 3D model and intramural ones with a porous medium approach makes it possible to apply the proposed strategy to patient-specific heart geometries reconstructed from clinical imaging data. We also address the derivation of numerical solvers for the coupled problem. In particular, we propose a splitting algorithm for the monolithic problem, with the corresponding convergence analysis, and a suitable preconditioner for the multi-compartment porous sub-model. Finally, we test the computational framework in a realistic human heart, and we obtain results that fall in the physiological range for both pressures and local myocardial flows.<\/p>\n","protected":false},"excerpt":{"rendered":"Di Gregorio, S.; Fedele, M.; Pontone, G.; Corno, A.F.; Zunino, P.; Vergara, C.; Quarteroni, A. MOX Report 48\/2019 Open Access: https:\/\/mox.polimi.it\/publication-results\/?id=828&tipo=add_qmox Abstract: In this paper we present a multiscale model for human cardiac perfusion which accounts for the different length scales of the vessels in the coronary tree. Epicardial vessels […]<\/p>\n","protected":false},"author":2,"featured_media":1060,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[61,9],"tags":[],"class_list":["post-1059","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-papers-en-it-en","category-uncategorized-en"],"_links":{"self":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts\/1059","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/comments?post=1059"}],"version-history":[{"count":4,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts\/1059\/revisions"}],"predecessor-version":[{"id":1064,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts\/1059\/revisions\/1064"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/media\/1060"}],"wp:attachment":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/media?parent=1059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/categories?post=1059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/tags?post=1059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}