A reduced order model formulation for left atrium flow: an atrial fibrillation case.

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Title: A reduced order model formulation for left atrium flow: an atrial fibrillation case.
Authors: Balzotti, Caterina1 (AUTHOR), Siena, Pierfrancesco1 (AUTHOR), Girfoglio, Michele1 (AUTHOR), Stabile, Giovanni2 (AUTHOR), Dueñas-Pamplona, Jorge3 (AUTHOR), Sierra-Pallares, José4 (AUTHOR), Amat-Santos, Ignacio4,5 (AUTHOR), Rozza, Gianluigi1 (AUTHOR) grozza@sissa.it
Source: Biomechanics & Modeling in Mechanobiology. Aug2024, Vol. 23 Issue 4, p1411-1429. 19p.
Subjects: Cardiac output, Blood flow, Atrial fibrillation, Left heart atrium, Blood testing, Blood viscosity
Abstract: A data-driven reduced order model (ROM) based on a proper orthogonal decomposition-radial basis function (POD-RBF) approach is adopted in this paper for the analysis of blood flow dynamics in a patient-specific case of atrial fibrillation (AF). The full order model (FOM) is represented by incompressible Navier–Stokes equations, discretized with a finite volume (FV) approach. Both the Newtonian and the Casson's constitutive laws are employed. The aim is to build a computational tool able to efficiently and accurately reconstruct the patterns of relevant hemodynamics indices related to the stasis of the blood in a physical parametrization framework including the cardiac output in the Newtonian case and also the plasma viscosity and the hematocrit in the non-Newtonian one. Many FOM-ROM comparisons are shown to analyze the performance of our approach as regards errors and computational speed-up. [ABSTRACT FROM AUTHOR]
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Abstract:A data-driven reduced order model (ROM) based on a proper orthogonal decomposition-radial basis function (POD-RBF) approach is adopted in this paper for the analysis of blood flow dynamics in a patient-specific case of atrial fibrillation (AF). The full order model (FOM) is represented by incompressible Navier–Stokes equations, discretized with a finite volume (FV) approach. Both the Newtonian and the Casson's constitutive laws are employed. The aim is to build a computational tool able to efficiently and accurately reconstruct the patterns of relevant hemodynamics indices related to the stasis of the blood in a physical parametrization framework including the cardiac output in the Newtonian case and also the plasma viscosity and the hematocrit in the non-Newtonian one. Many FOM-ROM comparisons are shown to analyze the performance of our approach as regards errors and computational speed-up. [ABSTRACT FROM AUTHOR]
ISSN:16177959
DOI:10.1007/s10237-024-01847-1