Mathematical modelling and numerical simulation of the cardiovascular system
Publisher Summary The development of mathematical models, algorithms and numerical
simulation tools for the investigation of the human cardiovascular system has received a …
simulation tools for the investigation of the human cardiovascular system has received a …
[書籍][B] The finite element method for solid and structural mechanics
OC Zienkiewicz, RL Taylor - 2005 - books.google.com
This is the key text and reference for engineers, researchers and senior students dealing
with the analysis and modelling of structures–from large civil engineering projects such as …
with the analysis and modelling of structures–from large civil engineering projects such as …
Fluid and solid mechanical implications of vascular stenting
Vascular stents have emerged as an effective treatment for occlusive vascular disease.
Despite their success and widespread use, outcomes for patients receiving stents are still …
Despite their success and widespread use, outcomes for patients receiving stents are still …
One-dimensional models for blood flow in arteries
In this paper a family of one-dimensional nonlinear systems which model the blood pulse
propagation in compliant arteries is presented and investigated. They are obtained by …
propagation in compliant arteries is presented and investigated. They are obtained by …
One-dimensional modelling of a vascular network in space-time variables
In this paper a one-dimensional model of a vascular network based on space-time variables
is investigated. Although the one-dimensional system has been more widely studied using a …
is investigated. Although the one-dimensional system has been more widely studied using a …
Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system
In this paper we numerically investigate a one‐dimensional model of blood flow in human
arteries using both a discontinuous Galerkin and a Taylor–Galerkin formulation. The …
arteries using both a discontinuous Galerkin and a Taylor–Galerkin formulation. The …
A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method
There is an important interaction between the pum** performance of the ventricle, arterial
haemodynamics and coronary blood flow. While previous non‐linear 1D models have …
haemodynamics and coronary blood flow. While previous non‐linear 1D models have …
Numerical modeling of 1D arterial networks coupled with a lumped parameters description of the heart
The investigations on the pressure wave propagation along the arterial network and its
relationships with vascular physiopathologies can be supported nowadays by numerical …
relationships with vascular physiopathologies can be supported nowadays by numerical …
Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vessels
S Čanić, EH Kim - Mathematical Methods in the Applied …, 2003 - Wiley Online Library
In this paper, we present a mathematical analysis of the quasilinear effects arising in a
hyperbolic system of partial differential equations modelling blood flow through large …
hyperbolic system of partial differential equations modelling blood flow through large …
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties
We construct well-balanced, high-order numerical schemes for one-dimensional blood flow
in elastic vessels with varying mechanical properties. We adopt the ADER (Arbitrary high …
in elastic vessels with varying mechanical properties. We adopt the ADER (Arbitrary high …