A geometric multiscale model for the numerical simulation of blood flow in the human left heart

Zingaro, Alberto; Fumagalli, Ivan; Dedè, Luca; Fedele, Marco; Africa, Pasquale Claudio; Corno, Antonio F.; Quarteroni, Alfio

doi:10.3934/dcdss.2022052

Cited by 41 publications

(66 citation statements)

References 73 publications

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“…Fluid dynamics of the blood are described by ALE incompressible Navier-Stokes equations (see e.g. Zingaro et al (2022)). Valves are included with the Resistive Immersed Implicit Surface method (Fedele et al (2017)), choosing the opening and closing times based on computed pressures.…”

Section: Models and Numerical Methodsmentioning

confidence: 99%

MATHMOD 2022 Discussion Contribution Volume

2022

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About ARGESIMARGESIM is a non-profit society generally aiming for dissemination of information on system simulation from research via development to applications of system simulation. ARGESIM is closely co-operating with EU-ROSIM, the Federation of European Simulation Societies, and with ASIM, the German Simulation Society. ARGESIM is an 'outsourced' activity from the Mathematical Modelling and Simulation Group of TU Wien, there is also close co-operation with TU Wien (organisationally and personally). ARGESIM Publisher organizes publishing activities, with ISBN root 978-3-901608-xx-y and DOI root 10.11128/xx…x.

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Section: Models and Numerical Methodsmentioning

confidence: 99%

MATHMOD 2022 Discussion Contribution Volume

2022

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“…For more specifics on this method, we refer to [27]. The extension of the VMS-LES method for the NS-ALE-RIIS equations can be found in [41].…”

Section: Space and Time Discretizationsmentioning

confidence: 99%

“…Following [41,40,44] we assume that the boundary datum g ALE , introduced in Equation 2, can be expressed via separation of variables as:…”

Section: Parametrization Of the La Wall Displacementmentioning

confidence: 99%

“…The procedure to adapt the Zygote valve to the patient-specific geometry is given in [82]. Moreover, the leaflet displacement is the same used in [41].…”

Section: Meshesmentioning

confidence: 99%

“…Similarly to what done in [40,41,42,43,44,45,46,47,48], we use a parametric displacement combined with patient-specific geometry to fill the lack of information on the chamber displacement. Starting from the analytical formulation in [40], we modify the displacement to catch a more realistic movement of LAA and matching the variations of volume with the physiological or pathological values of the Left Atrial Appendage Ejection Fraction (LAAEF) [49].…”

Section: Introductionmentioning

confidence: 99%

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Impact of Atrial Fibrillation on Left Atrium Haemodynamics: A Computational Fluid Dynamics Study

Corti¹,

Zingaro²,

Dedè³

et al. 2022

Preprint

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We analyze left atrium haemodynamics, highlighting differences among healthy individuals and patients affected by atrial fibrillation. The computational study is based on patient-specific geometries of the left atria to simulate blood flow dynamics. We devise a novel procedure aimed at recovering the boundary conditions for the 3D haemodynamics simulations, particularly useful in absence of specific ones provided by clinical measurements. With this aim, we introduce a parametric definition of the atria displacement, and we employ a closed-loop lumped parameter model of the whole cardiocirculatory system conveniently tuned on the basis of the patient characteristics. We evaluate a number of fluid dynamics indicators for the atrial haemodynamics, validating our numerical results in terms of several clinical measurements; we investigate the impact of geometrical and clinical features on the risk of thrombosis. To analyse the correlation of thrombus formation with atrial fibrillation, coherently with the medical evidence, we propose a novel indicator, which we call age stasis and that arises from the combination of Eulerian and Lagrangian quantities. This indicator identifies regions where the slow flow cannot rinse the chamber properly, accumulating stale blood particles and creating optimal conditions for clot formation.

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A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart

Bucelli

Zingaro

Africa

et al. 2023

Numer Methods Biomed Eng

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We propose a mathematical and numerical model for the simulation of the heart function that couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and includes reduced models for cardiac valves and the circulatory system. Our model accounts for the major feedback effects among the different processes that characterize the heart function, including electro‐mechanical and mechano‐electrical feedback as well as force‐strain and force‐velocity relationships. Moreover, it provides a three‐dimensional representation of both the cardiac muscle and the hemodynamics, coupled in a fluid–structure interaction (FSI) model. By leveraging the multiphysics nature of the problem, we discretize it in time with a segregated electrophysiology‐force generation‐FSI approach, allowing for efficiency and flexibility in the numerical solution. We employ a monolithic approach for the numerical discretization of the FSI problem. We use finite elements for the spatial discretization of partial differential equations. We carry out a numerical simulation on a realistic human left heart model, obtaining results that are qualitatively and quantitatively in agreement with physiological ranges and medical images.

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A geometric multiscale model for the numerical simulation of blood flow in the human left heart

Cited by 41 publications

References 73 publications

MATHMOD 2022 Discussion Contribution Volume

MATHMOD 2022 Discussion Contribution Volume

Impact of Atrial Fibrillation on Left Atrium Haemodynamics: A Computational Fluid Dynamics Study

A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart

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