Multiscale modelling in biofluidynamics: Application to reconstructive paediatric cardiac surgery

Migliavacca, Francesco; Balossino, Rossella; Pennati, Giancarlo; Dubini, Gabriele; Hsia, Tain Yen; Leval, Marc R. de; Bove, Edward L.

doi:10.1016/j.jbiomech.2005.02.021

Cited by 161 publications

(135 citation statements)

References 22 publications

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“…An example extensively addressed in the literature is given by the numerical modeling of the Total CavoPulmonary Connection (TCPC), see e.g. [83,106,107,121]. In this case, the 0D model -that is in general nonlinear due to the presence of the valves -is not directly included in the 3D solution; segregated approaches are indeed more indicated.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…In this respect, we mention [106,107,121] applied to the Total Cavopulmonary Connection obtained as a therapy for Left Ventricle Hypoplasia Syndrome and [12] for the analysis of carotid stenosis. In the latter paper, an extensive comparison of different boundary conditions in both stand-alone and multiscale settings is carried out, pointing out the importance of the combination of local/systemic perspectives granted by multiscale coupling for the reliability of numerical simulations.…”

Section: An Annotated Review Of Selected Workmentioning

confidence: 99%

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Geometric multiscale modeling of the cardiovascular system, between theory and practice

Quarteroni

Veneziani

Vergara

2016

Computer Methods in Applied Mechanics and Engineering

169

157

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This review paper addresses the so called geometric multiscale approach for the numerical simulation of blood flow problems, from its origin (that we can collocate in the second half of '90s) to our days. By this approach the blood fluid-dynamics in the whole circulatory system is described mathematically by means of heterogeneous featuring different degree of detail and different geometric dimension that interact together through appropriate interface coupling conditions.Our review starts with the introduction of the stand-alone problems, namely the 3D fluidstructure interaction problem, its reduced representation by means of 1D models, and the so-called lumped parameters (aka 0D) models, where only the dependence on time survives. We then address specific methods for stand-alone 3D models when the available boundary data are not enough to ensure the mathematical well posedness. These so-called "defective problems" naturally arise in practical applications of clinical relevance but also because of the interface coupling of heterogeneous problems that are generated by the geometric multiscale process. We also describe specific issues related to the boundary treatment of reduced models, particularly relevant to the geometric multiscale coupling. Next, we detail the most popular numerical algorithms for the solution of the coupled problems. Finally, we review some of the most representative works -from different research groups -which addressed the geometric multiscale approach in the past years.A proper treatment of the different scales relevant to the hemodynamics and their interplay is essential for the accuracy of numerical simulations and eventually for their clinical impact. This paper aims at providing a state-of-the-art picture of these topics, where the gap between theory and practice demands rigorous mathematical models to be reliably filled.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Section: An Annotated Review Of Selected Workmentioning

confidence: 99%

Geometric multiscale modeling of the cardiovascular system, between theory and practice

Quarteroni

Veneziani

Vergara

2016

Computer Methods in Applied Mechanics and Engineering

169

157

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“…Meshes consisting of entirely tetrahedral elements are already being employed in complex anatomical domains with great success. 19,20,25 And for simpler anatomies, hexahedral unstructured grids can be readily implemented 14 as the boundary-layer mesh uniformity can be controlled with reasonable manual mesh generation effort. The algorithms for creating unstructured grids are also more amenable to automation.…”

Section: Mesh Generationmentioning

confidence: 99%

Progress in the CFD Modeling of Flow Instabilities in Anatomical Total Cavopulmonary Connections

et al. 2007

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Abstract-Intrinsic flow instability has recently been reported in the blood flow pathways of the surgically created total-cavopulmonary connection. Besides its contribution to the hydrodynamic power loss and hepatic blood mixing, this flow unsteadiness causes enormous challenges in its computational fluid dynamics (CFD) modeling. This paper investigates the applicability of hybrid unstructured meshing and solver options of a commercially available CFD package (FLUENT, ANSYS Inc., NH) to model such complex flows. Two patient-specific anatomies with radically different transient flow dynamics are studied both numerically and experimentally (via unsteady particle image velocimetry and flow visualization). A new unstructured hybrid mesh layout consisting of an internal core of hexahedral elements surrounded by transition layers of tetrahedral elements is employed to mesh the flow domain. The numerical simulations are carried out using the parallelized second-order accurate upwind scheme of FLUENT. The numerical validation is conducted in two stages: first, by comparing the overall flow structures and velocity magnitudes of the numerical and experimental flow fields, and then by comparing the spectral content at different points in the connection. The numerical approach showed good quantitative agreement with experiment, and total simulation time was well within a clinically relevant time-scale of our surgical planning application. It also further establishes the ability to conduct accurate numerical simulations using hybrid unstructured meshes, a format that is attractive if one ever wants to pursue automated flow analysis in a large number of complex (patient-specific) geometries.

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“…CFD has been applied in assessment of aneurysms and rupture risk, [11][12][13] the design and assessment of vascular devices, 14,15 and the planning and outcome prediction of vascular surgeries. [16][17][18] Imaging & modelling In order to perform CFD simulations, detailed anatomical imaging is required to create accurate 3D geometric models of the thoracic aorta. Imaging modalities such as Cardiovascular Magnetic Resonance Imaging (CMR) or multi-slice CT may be used to acquire the anatomical data.…”

Section: Computational Fluid Dynamicsmentioning

confidence: 99%

Functional assessment of thoracic aortic aneurysms – the future of risk prediction?

Youssefi

Sharma

Figueroa

et al. 2016

British Medical Bulletin

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Multiscale modelling in biofluidynamics: Application to reconstructive paediatric cardiac surgery

Cited by 161 publications

References 22 publications

Geometric multiscale modeling of the cardiovascular system, between theory and practice

Geometric multiscale modeling of the cardiovascular system, between theory and practice

Progress in the CFD Modeling of Flow Instabilities in Anatomical Total Cavopulmonary Connections

Functional assessment of thoracic aortic aneurysms – the future of risk prediction?

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