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