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 …
Pulse wave propagation in the arterial tree
FN Van de Vosse, N Stergiopulos - Annual Review of Fluid …, 2011 - annualreviews.org
The beating heart creates blood pressure and flow pulsations that propagate as waves
through the arterial tree that are reflected at transitions in arterial geometry and elasticity …
through the arterial tree that are reflected at transitions in arterial geometry and elasticity …
Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks
Advances in computational science offer a principled pipeline for predictive modeling of
cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and …
cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and …
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 …
Validation of a one-dimensional model of the systemic arterial tree
P Reymond, F Merenda, F Perren… - American Journal …, 2009 - journals.physiology.org
A distributed model of the human arterial tree including all main systemic arteries coupled to
a heart model is developed. The one-dimensional (1-D) form of the momentum and …
a heart model is developed. The one-dimensional (1-D) form of the momentum and …
A benchmark study of numerical schemes for one‐dimensional arterial blood flow modelling
E Boileau, P Nithiarasu, PJ Blanco… - … journal for numerical …, 2015 - Wiley Online Library
Hæmodynamical simulations using one‐dimensional (1D) computational models exhibit
many of the features of the systemic circulation under normal and diseased conditions …
many of the features of the systemic circulation under normal and diseased conditions …
[HTML][HTML] Pulse wave propagation in a model human arterial network: assessment of 1-D visco-elastic simulations against in vitro measurements
The accuracy of the nonlinear one-dimensional (1-D) equations of pressure and flow wave
propagation in Voigt-type visco-elastic arteries was tested against measurements in a well …
propagation in Voigt-type visco-elastic arteries was tested against measurements in a well …
[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 …
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 …
An introduction to wave intensity analysis
KH Parker - Medical & biological engineering & computing, 2009 - Springer
Wave intensity analysis applies methods first used to study gas dynamics to cardiovascular
haemodynamics. It is based on the method of characteristics solution of the 1-D equations …
haemodynamics. It is based on the method of characteristics solution of the 1-D equations …