Rational macromodeling of 1D blood flow in the human cardiovascular system

Author:

Ferranti Francesco1,Tamburrelli Vincenzopio2,Antonini Giulio3

Affiliation:

1. Department of Fundamental Electricity and Instrumentation; Vrije Universiteit Brussel; Pleinlaan 2 B-1050 Brussels Belgium

2. Private Practice; Rome Italy

3. UAq EMC Laboratory; Dipartimento di Ingegneria Industriale e dell'Informazione e di Economia, Università degli Studi dell'Aquila; Via G. Gronchi 18 L'Aquila 67100 Italy

Funder

Fonds Wetenschappelijk Onderzoek

Publisher

Wiley

Subject

Applied Mathematics,Computational Theory and Mathematics,Molecular Biology,Modelling and Simulation,Biomedical Engineering,Software

Reference59 articles.

1. Global solution to a hyperbolic problem arising in the modeling of blood flow in circulatory systems;Ruan;Journal of Mathematical Analysis and Applications,2007

2. A 3D/1D geometrical multiscale model of cerebral vasculature;Passerini;Journal of Engineering Mathematics,2009

3. Computational vascular fluid dynamics: problems, models and methods;Quarteroni;Computing and Visualization in Science,2000

4. Mathematical and numerical modeling of solute dynamics in blood flow and arterial walls;Quarteroni;SIAM Journal on Numerical Analysis,2001

5. A domain decomposition method for advection-diffusion processes with application to blood solutes;Quarteroni;SIAM Journal on Scientific Computing,2002

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1. Numerical solutions for blood flow in elastic vessels;Mathematical Methods in the Applied Sciences;2020-07-07

2. Zero-dimensional lumped approach to incorporate the dynamic part of the pressure at vessel junctions in a 1D wave propagation model;International Journal for Numerical Methods in Biomedical Engineering;2018-08-07

3. The dynamics of a healthy and infected red blood cell in flow through constricted channels: A DPD simulation;International Journal for Numerical Methods in Biomedical Engineering;2018-06-25

4. 1-D blood flow modelling in a running human body;Computer Methods in Biomechanics and Biomedical Engineering;2017-04-10

5. On a sparse pressure-flow rate condensation of rigid circulation models;Journal of Biomechanics;2016-07

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