The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

The vortex—an early predictor of cardiovascular outcome?

G Pedrizzetti, G La Canna, O Alfieri… - Nature Reviews Cardiology, 2014 - nature.com
Blood motion in the heart features vortices that accompany the redirection of jet flows
towards the outlet tracks. Vortices have a crucial role in fluid dynamics. The stability of …

[BOK][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Modeling total heart function

PJ Hunter, AJ Pullan, BH Smaill - Annual review of biomedical …, 2003 - annualreviews.org
▪ Abstract Computational models of the electrical and mechanical function of the heart are
reviewed. These models attempt to explain the integrated function of the heart in terms of …

Stabilization of explicit coupling in fluid–structure interaction involving fluid incompressibility

E Burman, MA Fernández - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
In this work, we propose a stabilized explicit coupling scheme for fluid–structure interaction
problems involving a viscous incompressible fluid. The coupled discrete formulation is …

Impact of atrial fibrillation on left atrium haemodynamics: A computational fluid dynamics study

M Corti, A Zingaro, AM Quarteroni - Computers in Biology and Medicine, 2022 - Elsevier
We analyse the haemodynamics of the left atrium, highlighting differences between healthy
individuals and patients affected by atrial fibrillation. The computational study is based on …

Stability of a coupling technique for partitioned solvers in FSI applications

J Degroote, P Bruggeman, R Haelterman… - Computers & …, 2008 - Elsevier
This paper focuses on the stability of the coupling iterations in the partitioned approach to
fluid–structure interaction. Previous research has shown that the number of coupling …

MRI-based CFD analysis of flow in a human left ventricle: methodology and application to a healthy heart

T Schenkel, M Malve, M Reik, M Markl, B Jung… - Annals of biomedical …, 2009 - Springer
A three-dimensional computational fluid dynamics (CFD) method has been developed to
simulate the flow in a pum** left ventricle. The proposed method uses magnetic …

Partitioned simulation of fluid-structure interaction: Coupling black-box solvers with quasi-Newton techniques

J Degroote - Archives of computational methods in engineering, 2013 - Springer
In this review article, the focus is on partitioned simulation techniques for strongly coupled
fluid-structure interaction problems, especially on techniques which use at least one of the …

Two-dimensional ultrasonic strain rate measurement of the human heart in vivo

J D'hooge, E Konofagou, F Jamal… - IEEE transactions on …, 2002 - ieeexplore.ieee.org
A study is presented in which the feasibility of two-dimensional strain rate estimation of the
human heart in vivo has been demonstrated. To do this, ultrasonic B-mode data were …