Title: Coupled models technology in multi-scale computational haemodynamics

Authors: Pablo Javier Blanco, Marcio Ricardo Pivello, Santiago Adrian Urquiza, Nelson Albuquerque De Souza e Silva, Raul Antonino Feijoo

Addresses: LNCC, Laboratorio Nacional de Computacao Cientifica, Av. Getulio Vargas 333, Quitandinha, 25651-075, Petropolis, RJ, Brazil; INCT–MACC, Instituto Nacional de Ciencia e Tecnologia em Medicina Assistida por Computacao Cientifica, Petropolis, RJ, Brazil. ' UFU, Universidade Federal de Uberlandia, Campus Santa Monica Bloco 5P, Avenida Joao Naves de Avila 2121, 38400-902, Uberlandia, MG, Brazil; INCT-MACC, Instituto Nacional de Ciencia e Tecnologia em Medicina Assistida por Computacao Cientifica, Petropolis, RJ, Brazil. ' UNMDP, Universidad Nacional de Mar del Plata, Av. J.B. Justo 4302, B7608FDQ, Mar del Plata, Argentina; INCT-MACC, Instituto Nacional de Ciencia e Tecnologia em Medicina Assistida por Computacao Cientifica, Petropolis, RJ, Brazil. ' IC/UFRJ, Instituto do Coracao, Universidade Federal do Rio de Janeiro, Rua Professor Rodolpho Paulo Rocco no. 255, 8o. andar predio do Hospital Universitario Clementino Fraga Filho (HUCFF) Cidade Universitaria, Ilha do Fundao, Rio de Janeiro, Brazil; INCT-MACC, Instituto Nacional de Ciencia e Tecnologia em Medicina Assistida por Computacao Cientifica, Petropolis, RJ, Brazil. ' LNCC, Laboratorio Nacional de Computacao Cientifca, Av. Getulio Vargas 333, Quitandinha, 25651-075, Petropolis, RJ, Brazil; INCT–MACC, Instituto Nacional de Ciencia e Tecnologia em Medicina Assistida por Computacao Cientifica, Petropolis, RJ, Brazil

Abstract: The goal of this work is to gather recent advances in computational modelling aimed at tackling problems in the field of computational hemodynamics to provide insight about the flow regimes prevailing in certain vascular districts. These models are devised to retrieve the relevant physical phenomena from the different geometrical scales encountered within the cardiovascular system. Hence, we resort to the use of dimensionally-heterogeneous models, whose derivation follows a unified variational approach. Also, some issues that emerge with the use of such technology are exposed and elucidated, together with two selected examples of application. Finally, some guidelines for future research are highlighted.

Keywords: geometrical multi-scale modelling; coupled modelling; computational haemodynamics; 3D–1D–0D models; cardiovascular modelling; blood flow; heart beat; simulation.

DOI: 10.1504/IJBET.2011.039195

International Journal of Biomedical Engineering and Technology, 2011 Vol.5 No.2/3, pp.132 - 156

Published online: 21 Jan 2015 *

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