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 …

[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 …

[图书][B] Cardiovascular Mathematics: Modeling and simulation of the circulatory system

L Formaggia, A Quarteroni, A Veneziani - 2010 - books.google.com
Cardiovascular diseases have a major impact in Western countries. Mathematical models
and numerical simulations can aid the understanding of physiological and pathological …

Mathematical modelling and numerical simulation of the cardiovascular system

A Quarteroni, L Formaggia - Handbook of numerical analysis, 2004 - Elsevier
Publisher Summary The development of mathematical models, algorithms and numerical
simulation tools for the investigation of the human cardiovascular system has received a …

[图书][B] Computational Hemodynamics–Theory, Modelling and Applications

J Tu, K Inthavong, KKL Wong - 2015 - books.google.com
This book discusses geometric and mathematical models that can be used to study fluid and
structural mechanics in the cardiovascular system. Where traditional research …

[HTML][HTML] CRIMSON: An open-source software framework for cardiovascular integrated modelling and simulation

CJ Arthurs, R Khlebnikov, A Melville… - PLoS computational …, 2021 - journals.plos.org
In this work, we describe the CRIMSON (CardiovasculaR Integrated Modelling and
SimulatiON) software environment. CRIMSON provides a powerful, customizable and user …

Numerical modeling of 1D arterial networks coupled with a lumped parameters description of the heart

L Formaggia, D Lamponi, M Tuveri… - Computer methods in …, 2006 - Taylor & Francis
The investigations on the pressure wave propagation along the arterial network and its
relationships with vascular physiopathologies can be supported nowadays by numerical …

Data-driven cardiovascular flow modelling: examples and opportunities

A Arzani, STM Dawson - Journal of the Royal Society …, 2021 - royalsocietypublishing.org
High-fidelity blood flow modelling is crucial for enhancing our understanding of
cardiovascular disease. Despite significant advances in computational and experimental …

Multiscale modeling of cardiovascular flows for clinical decision support

AL Marsden… - Applied …, 2015 - asmedigitalcollection.asme.org
Patient-specific cardiovascular simulations can provide clinicians with predictive tools, fill
current gaps in clinical imaging capabilities, and contribute to the fundamental …

[HTML][HTML] Review of zero-D and 1-D models of blood flow in the cardiovascular system

Y Shi, P Lawford, R Hose - Biomedical engineering online, 2011 - Springer
Background Zero-dimensional (lumped parameter) and one dimensional models, based on
simplified representations of the components of the cardiovascular system, can contribute …