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 …

Image-based computational fluid dynamics modeling in realistic arterial geometries

DA Steinman - Annals of biomedical engineering, 2002 - Springer
Local hemodynamics are an important factor in atherosclerosis, from the development of
early lesions, to the assessment of stroke risk, to determining the ultimate fate of a mature …

Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries

IE Vignon-Clementel, CA Figueroa, KE Jansen… - Computer methods in …, 2006 - Elsevier
Flow and pressure waves emanate from the heart and travel through the major arteries
where they are damped, dispersed and reflected due to changes in vessel caliber, tissue …

[图书][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 …

MRI and CFD studies of pulsatile flow in healthy and stenosed carotid bifurcation models

I Marshall, S Zhao, P Papathanasopoulou… - Journal of …, 2004 - Elsevier
Pulsatile flow was studied in physiologically realistic models of a normal and a moderately
stenosed (30% diameter reduction) human carotid bifurcation. Time-resolved velocity …

Three-dimensional instabilities and transition of steady and pulsatile axisymmetric stenotic flows

SJ Sherwin, HM Blackburn - Journal of Fluid Mechanics, 2005 - cambridge.org
A straight tube with a smooth axisymmetric constriction is an idealized representation of a
stenosed artery. We examine the three-dimensional instabilities and transition to turbulence …

Direct numerical simulation of transitional flow in a stenosed carotid bifurcation

SE Lee, SW Lee, PF Fischer, HS Bassiouny… - Journal of …, 2008 - Elsevier
The blood flow dynamics of a stenosed, subject-specific, carotid bifurcation were numerically
simulated using the spectral element method. Pulsatile inlet conditions were based on in …

Numerical analysis of pulsatile blood flow and vessel wall mechanics in different degrees of stenoses

MX Li, JJ Beech-Brandt, LR John, PR Hoskins… - Journal of …, 2007 - Elsevier
Hemodynamics factors and biomechanical forces play key roles in atherogenesis, plaque
development and final rupture. In this paper, we investigated the flow field and stress field for …

Assessment of the accuracy of MRI wall shear stress estimation using numerical simulations

S Petersson, P Dyverfeldt… - Journal of Magnetic …, 2012 - Wiley Online Library
Purpose: To investigate the accuracy of wall shear stress (WSS) estimation using MRI.
Specifically, to investigate the impact of different parameters and if MRI WSS estimates are …

Numerical solution of magnetohydrodynamics effects on a generalised power law fluid model of blood flow through a bifurcated artery with an overlapping shaped …

NM Zain, Z Ismail - Plos one, 2023 - journals.plos.org
This paper presents a numerical analysis of blood flow in a diseased vessel within the
presence of an external magnetic field. The blood flow was considered to be incompressible …