A reduced-order model based on the coupled 1D-3D finite element simulations for an efficient analysis of hemodynamics problems

Abstract

A reduced-order model for an efficient analysis of cardiovascular hemodynamics problems using multiscale approach is presented in this work. Starting from a patient-specific computational mesh obtained by medical imaging techniques, an analysis methodology based on a two-step automatic procedure is proposed. First a coupled 1D-3D Finite Element Simulation is performed and the results are used to adjust a reduced-order model of the 3D patient-specific area of interest. Then, this reduced-order model is coupled with the 1D model. In this way, threedimensional effects are accounted for in the 1D model in a cost effective manner, allowing fast computation under different scenarios. The methodology proposed is validated using a patient-specific aortic coarctation model under rest and non-rest conditions

Cardiac computational modelling

“…Los modelos de para ´metros concentrados se han utilizado tambie ´n recientemente para un estudio holı ´stico de las interacciones entre corazo ´n y cerebro, para la personalizacio ´n de modelos cardiovasculares con datos procedentes de miles de casos de la base de datos UK Biobank y para identificar nuevas relaciones entre factores neurolo ´gicos como las lesiones de hiperintensidad de sustancia blanca y anomalı ´as cardiacas como la fibrilacio ´n auricular (FA) 25 . En este sentido, tambie ´n es posible crear un modelo simple basado en el acoplamiento de modelos 1 D o 0 D con modelos 3 D para estudiar de manera eficiente problemas de hemodina ´mica 26 . Los modelos 1 D permiten investigar los mecanismos fı ´sicos que subyacen a los cambios de la presio ´n y de la forma de onda del pulso de flujo a que da lugar en una enfermedad cardiovascular 27 .…”

Modelización computacional cardiaca

“…25 In that line, it is also possible to create a reduced order model based on coupling 1D or 0D models with 3D models to study efficiently hemodynamics problems. 26 1D models allow us to investigate physical mechanisms underlying changes in pressure and flow pulse waveforms that are produced by a cardiovascular disease 27 .…”

Estimation of Wall Shear Stress Using 4d Flow Cardiovascular Mri and Computational Fluid Dynamics

“…The use of CFD techniques in simulating blood patterns and modelling cardiovascular systems has become widespread within bioengineering and medical research in the past few decades. However, the increasing reliance on CFD for hemodynamic simulations requires a close look at the various assumptions required by the modelling activity, and in particular, to assess the sensitivity to assumptions regarding boundary conditions (25) (29). Nowadays, thanks the new advances in 4D flow CMR imaging, we can obtain highly resolved blood flow patterns in anatomically realistic models.…”