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 …

Arterial pulse wave modeling and analysis for vascular-age studies: a review from VascAgeNet

J Alastruey, PH Charlton, V Bikia… - American Journal …, 2023 - journals.physiology.org
Arterial pulse waves (PWs) such as blood pressure and photoplethysmogram (PPG) signals
contain a wealth of information on the cardiovascular (CV) system that can be exploited to …

Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks

G Kissas, Y Yang, E Hwuang, WR Witschey… - Computer Methods in …, 2020 - Elsevier
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 …

[BOK][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 …

Physics-informed neural networks for brain hemodynamic predictions using medical imaging

M Sarabian, H Babaee, K Laksari - IEEE transactions on …, 2022 - ieeexplore.ieee.org
Determining brain hemodynamics plays a critical role in the diagnosis and treatment of
various cerebrovascular diseases. In this work, we put forth a physics-informed deep …

A systematic comparison between 1‐D and 3‐D hemodynamics in compliant arterial models

N **ao, 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 …

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 …

One-dimensional haemodynamic modeling and wave dynamics in the entire adult circulation

JP Mynard, JJ Smolich - Annals of biomedical engineering, 2015 - Springer
Abstract One-dimensional (1D) modeling is a powerful tool for studying haemodynamics;
however, a comprehensive 1D model representing the entire cardiovascular system is …

[BOK][B] Scientific computation

P Joly, A Quarteroni, J Rappaz - 2005 - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

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 …