The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
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 …
has attracted remarkable interest from the mathematical community because of its intrinsic …
Geometric multiscale modeling of the cardiovascular system, between theory and practice
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 …
simulation of blood flow problems, from its origin (that we can collocate in the second half …
[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
Perspective on CFD studies of coronary artery disease lesions and hemodynamics: a review
Coronary artery disease (CAD) is the most common cardiovascular disease. Early diagnosis
of CAD's physiological significance is of utmost importance for guiding individualized risk …
of CAD's physiological significance is of utmost importance for guiding individualized risk …
A computational model applied to myocardial perfusion in the human heart: from large coronaries to microvasculature
In this paper we present a mathematical and numerical model for human cardiac perfusion
which accounts for the different length scales of the vessels in the coronary tree. Epicardial …
which accounts for the different length scales of the vessels in the coronary tree. Epicardial …
Benchmark problems for numerical treatment of backflow at open boundaries
In computational fluid dynamics, incoming velocity at open boundaries, or backflow, often
yields unphysical instabilities already for moderate Reynolds numbers. Several treatments …
yields unphysical instabilities already for moderate Reynolds numbers. Several treatments …
[HTML][HTML] Comparisons between reduced order models and full 3D models for fluid–structure interaction problems in haemodynamics
CM Colciago, S Deparis, A Quarteroni - Journal of Computational and …, 2014 - Elsevier
When modelling the cardiovascular system, the effect of the vessel wall on the blood flow
has great relevance. Arterial vessels are complex living tissues and three-dimensional …
has great relevance. Arterial vessels are complex living tissues and three-dimensional …
Time accurate partitioned algorithms for the solution of fluid–structure interaction problems in haemodynamics
In this work we deal with the numerical solution of the fluid–structure interaction problem
arising in the haemodynamic environment. In particular, we consider BDF and Newmark …
arising in the haemodynamic environment. In particular, we consider BDF and Newmark …
A convective-like energy-stable open boundary condition for simulations of incompressible flows
S Dong - Journal of Computational Physics, 2015 - Elsevier
We present a new energy-stable open boundary condition, and an associated numerical
algorithm, for simulating incompressible flows with outflow/open boundaries. This open …
algorithm, for simulating incompressible flows with outflow/open boundaries. This open …
A computational study of blood flow dynamics in the pulmonary arteries
In this work we study the blood dynamics in the pulmonary arteries by means of a 3D-0D
geometric multiscale approach, where a detailed 3D model for the pulmonary arteries is …
geometric multiscale approach, where a detailed 3D model for the pulmonary arteries is …