Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm
ESAIM: M2AN, 47 4 (2013) 961-985
Published online: 2013-06-13
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Finite-difference splitting scheme for numerical modeling of blood flow in arteries
Gerasim V. Krivovichev and Ruslan V. PukhalenkoNumerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie) 27 (2) 119 (2026)
https://doi.org/10.26089/NumMet.v27r209
Mathematical Modeling of Photoplethysmography: Model Assessment and Validation
Adrien Lefieux, Justine Daraize, Fabien Vergnet, Marina Vidrascu, Marie Willemet, Aniss Bendjoudi, Damiano Lombardi and Miguel A. FernándezCardiovascular Engineering and Technology (2026)
https://doi.org/10.1007/s13239-026-00826-0
From Steady to Pulsatile Flow in Molecular Communication: Propagation of Nanoparticles in Mid-Sized Arteries
Luiz C. P. Wille, Christof Pfannenmüller and Jens KirchnerIEEE Transactions on Molecular, Biological, and Multi-Scale Communications 11 (4) 531 (2025)
https://doi.org/10.1109/TMBMC.2025.3608558
One‐Dimensional Blood Flow Modeling in the Cardiovascular System. From the Conventional Physiological Setting to Real‐Life Hemodynamics
Pablo J. Blanco and Lucas O. MüllerInternational Journal for Numerical Methods in Biomedical Engineering 41 (3) (2025)
https://doi.org/10.1002/cnm.70020
Uncertainty Quantification and Sensitivity Analysis for Non‐invasive Model‐Based Instantaneous Wave‐Free Ratio Prediction
Caterina Dalmaso, Fredrik Eikeland Fossan, Anders Tjellaug Bråten and Lucas Omar MüllerInternational Journal for Numerical Methods in Biomedical Engineering 41 (1) (2025)
https://doi.org/10.1002/cnm.3898
A 3D Patient‐Specific Model of Cerebral Blood Flow: Influence of Arterial Compliance and Circle of Willis Configuration
L. A. Mansilla Alvarez, G. D. Maso Talou, R. A. Feijóo and P. J. BlancoInternational Journal for Numerical Methods in Biomedical Engineering 41 (7) (2025)
https://doi.org/10.1002/cnm.70065
Near Real-Time Estimation of Blood Loss and Flow–Pressure Redistribution during Unilateral Nephrectomy
James Cowley, Justicia Kyeremeh, Grant D. Stewart, Xichun Luo, Wenmiao Shu and Asimina KazakidiFluids 9 (9) 214 (2024)
https://doi.org/10.3390/fluids9090214
(2023)
https://doi.org/10.21203/rs.3.rs-2385152/v1
A Mathematical Model of Blood Loss during Renal Resection
James Cowley, Xichun Luo, Grant D. Stewart, Wenmiao Shu and Asimina KazakidiFluids 8 (12) 316 (2023)
https://doi.org/10.3390/fluids8120316
The Dynamics of the Flow of Blood in the Human Circulatory System
V. Sree Hari Rao and T. S. L. RadhikaDifferential Equations and Dynamical Systems 31 (3) 673 (2023)
https://doi.org/10.1007/s12591-022-00617-8
The splitting-based semi-implicit finite-difference schemes for simulation of blood flow in arteries
Gerasim V. KrivovichevComputers & Fluids 266 106049 (2023)
https://doi.org/10.1016/j.compfluid.2023.106049
Automated model calibration with parallel MCMC: Applications for a cardiovascular system model
Finbar Argus, Debbie Zhao, Thiranja P. Babarenda Gamage, Martyn P. Nash and Gonzalo D. Maso TalouFrontiers in Physiology 13 (2022)
https://doi.org/10.3389/fphys.2022.1018134
(2021)
https://doi.org/10.1101/2021.03.09.434672
Complementing sparse vascular imaging data by physiological adaptation rules
Maarten H. G. Heusinkveld, Robert J. Holtackers, Bouke P. Adriaans, et al.Journal of Applied Physiology 130 (3) 571 (2021)
https://doi.org/10.1152/japplphysiol.00250.2019
Hierarchical semantic composition of biosimulation models using bond graphs
Niloofar Shahidi, Michael Pan, Soroush Safaei, et al.PLOS Computational Biology 17 (5) e1008859 (2021)
https://doi.org/10.1371/journal.pcbi.1008859
Domain decomposition methods in a geometrical multiscale domain using finite volume schemes
Marie‐Claude ViallonInternational Journal for Numerical Methods in Fluids 92 (5) 391 (2020)
https://doi.org/10.1002/fld.4788
BioClimate: A Science Gateway for Climate Change and Biodiversity research in the EUBrazilCloudConnect project
Sandro Fiore, Donatello Elia, Ignacio Blanquer, et al.Future Generation Computer Systems 94 895 (2019)
https://doi.org/10.1016/j.future.2017.11.034
Zero‐dimensional lumped approach to incorporate the dynamic part of the pressure at vessel junctions in a 1D wave propagation model
Tim van den Boom, Raoul Stevens, Tammo Delhaas, Frans van de Vosse and Wouter HubertsInternational Journal for Numerical Methods in Biomedical Engineering 34 (9) (2018)
https://doi.org/10.1002/cnm.3116
SIMULATION ANALYSIS OF BLOOD FLOW IN ARTERIES OF THE HUMAN ARM
Wu Quanyu, Liu Xiaojie, Pan Lingjiao, Tao Weige and Qian ChunqiBiomedical Engineering: Applications, Basis and Communications 29 (04) 1750031 (2017)
https://doi.org/10.4015/S1016237217500314
Numerical assessment and comparison of pulse wave velocity methods aiming at measuring aortic stiffness
Hasan Obeid, Gilles Soulat, Elie Mousseaux, et al.Physiological Measurement 38 (11) 1953 (2017)
https://doi.org/10.1088/1361-6579/aa905a
An implicit solver for 1D arterial network models
Jason Carson and Raoul Van LoonInternational Journal for Numerical Methods in Biomedical Engineering 33 (7) (2017)
https://doi.org/10.1002/cnm.2837
A novel method for non-invasively detecting the severity and location of aortic aneurysms
Igor Sazonov, Ashraf W. Khir, Wisam S. Hacham, et al.Biomechanics and Modeling in Mechanobiology 16 (4) 1225 (2017)
https://doi.org/10.1007/s10237-017-0884-8
A fast method for solving a linear model of one-dimensional blood flow in a viscoelastic arterial tree
Ivan Korade, Zdravko Virag and Severino KrizmanićProceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 231 (3) 203 (2017)
https://doi.org/10.1177/0954411916688718
Finite volume numerical solution to a blood flow problem in human artery
Inge Wijayanti Budiawan and Sudi MungkasiJournal of Physics: Conference Series 795 012042 (2017)
https://doi.org/10.1088/1742-6596/795/1/012042
165 (2016)
https://doi.org/10.1109/WAINA.2016.128
A high‐order local time stepping finite volume solver for one‐dimensional blood flow simulations: application to the ADAN model
Lucas O. Müller, Pablo J. Blanco, Sansuke M. Watanabe and Raúl A. FeijóoInternational Journal for Numerical Methods in Biomedical Engineering 32 (10) (2016)
https://doi.org/10.1002/cnm.2761
Roadmap for cardiovascular circulation model
Soroush Safaei, Christopher P. Bradley, Vinod Suresh, Kumar Mithraratne, Alexandre Muller, Harvey Ho, David Ladd, Leif R. Hellevik, Stig W. Omholt, J. Geoffrey Chase, Lucas O. Müller, Sansuke M. Watanabe, Pablo J. Blanco, Bernard de Bono and Peter J. HunterThe Journal of Physiology 594 (23) 6909 (2016)
https://doi.org/10.1113/JP272660
An integrated mathematical model of the cardiovascular and respiratory systems
Paulo Roberto Trenhago, Luciano Gonçalves Fernandes, Lucas Omar Müller, Pablo Javier Blanco and Raúl Antonino FeijóoInternational Journal for Numerical Methods in Biomedical Engineering 32 (1) (2016)
https://doi.org/10.1002/cnm.2736
Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models
Lucas O. Müller, Günter Leugering and Pablo J. BlancoJournal of Computational Physics 314 167 (2016)
https://doi.org/10.1016/j.jcp.2016.03.012
A benchmark study of numerical schemes for one‐dimensional arterial blood flow modelling
Etienne Boileau, Perumal Nithiarasu, Pablo J. Blanco, Lucas O. Müller, Fredrik Eikeland Fossan, Leif Rune Hellevik, Wouter P. Donders, Wouter Huberts, Marie Willemet and Jordi AlastrueyInternational Journal for Numerical Methods in Biomedical Engineering 31 (10) (2015)
https://doi.org/10.1002/cnm.2732
9662 96621S (2015)
https://doi.org/10.1117/12.2205912
An Effective Fractal-Tree Closure Model for Simulating Blood Flow in Large Arterial Networks
Paris Perdikaris, Leopold Grinberg and George Em. KarniadakisAnnals of Biomedical Engineering 43 (6) 1432 (2015)
https://doi.org/10.1007/s10439-014-1221-3
Error estimate for a finite volume scheme in a geometrical multi-scale domain
Marie-Claude ViallonESAIM: Mathematical Modelling and Numerical Analysis 49 (2) 529 (2015)
https://doi.org/10.1051/m2an/2014042
A numerical model of pulsatile blood flow in compliant arteries of a truncated vascular system
Kamil Kahveci and Bryan R. BeckerInternational Communications in Heat and Mass Transfer 67 51 (2015)
https://doi.org/10.1016/j.icheatmasstransfer.2015.06.010
Blood flow distribution in an anatomically detailed arterial network model: criteria and algorithms
Pablo J. Blanco, Sansuke M. Watanabe, Enzo A. Dari, Marco Aurélio R. F. Passos and Raúl A. FeijóoBiomechanics and Modeling in Mechanobiology 13 (6) 1303 (2014)
https://doi.org/10.1007/s10237-014-0574-8
A computational approach to generate concurrent arterial networks in vascular territories
P. J. Blanco, R. A. B. de Queiroz and R. A. FeijóoInternational Journal for Numerical Methods in Biomedical Engineering 29 (5) 601 (2013)
https://doi.org/10.1002/cnm.2547