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 …
Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …
various cardiac diseases, which remain the most common cause of death in the developed …
A systematic comparison between 1‐D and 3‐D hemodynamics in compliant arterial models
N Xiao, J Alastruey… - International journal for …, 2014 - Wiley Online Library
We present a systematic comparison of computational hemodynamics in arteries between a
one‐dimensional (1‐D) and a three‐dimensional (3‐D) formulation with deformable vessel …
one‐dimensional (1‐D) and a three‐dimensional (3‐D) formulation with deformable vessel …
[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 …
Arterial pulse wave propagation across stenoses and aneurysms: assessment of one-dimensional simulations against three-dimensional simulations and in vitro …
W Jin, J Alastruey - Journal of the Royal Society Interface, 2021 - royalsocietypublishing.org
One-dimensional (1-D) arterial blood flow modelling was tested in a series of idealized
vascular geometries representing the abdominal aorta, common carotid and iliac arteries …
vascular geometries representing the abdominal aorta, common carotid and iliac arteries …
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 …
A time-dependent non-Newtonian extension of a 1D blood flow model
AR Ghigo, PY Lagree, JM Fullana - Journal of Non-Newtonian Fluid …, 2018 - Elsevier
Blood pulsatility, aneurysms, stenoses and general low shear stress hemodynamics
enhance non-Newtonian blood effects which generate local changes in the space-time …
enhance non-Newtonian blood effects which generate local changes in the space-time …
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 …
[HTML][HTML] Flux vector splitting schemes applied to a conservative 1D blood flow model with transport for arteries and veins
We present novel flux splitting-based numerical schemes for the 1D blood flow equations
with an advection equation for a passive scalar, considering tube laws that allow to model …
with an advection equation for a passive scalar, considering tube laws that allow to model …