The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system
Abstract
In this paper we numerically investigate a one‐dimensional model of blood flow in human arteries using both a discontinuous Galerkin and a Taylor–Galerkin formulation. The derivation of the model and the numerical schemes are detailed and applied to two model numerical experiments. We first study the effect of an intervention, such the implantation of a vascular prosthesis (e.g. a stent), which leads to an abrupt variation of the mechanical characteristics of an artery. We then discuss the simulation of the propagation of pressure and velocity waveforms in the human arterial tree using a simplified model consisting of the 55 main arteries. Copyright © 2003 John Wiley & Sons, Ltd.
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Cites
Womersley, J. R. (1955) · The Journal of Physiology · doi:10.1113/jphysiol.1955.sp005276 · Cited by 1,835
McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles
Vlachopoulos, C., O'Rourke, M., & Nichols, W. W. (2011) · doi:10.1201/b13568 · Cited by 1,613
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Godlewski, E., & Raviart, P.-A. (1996) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-0713-9 · Cited by 1,331
Time dependent boundary conditions for hyperbolic systems
Thompson, K. W. (1987) · Journal of Computational Physics · doi:10.1016/0021-9991(87)90041-6 · Cited by 1,274
Finite element modeling of blood flow in arteries
Taylor, C. A., Hughes, T. J. R., & Zarins, C. K. (1998) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(98)80008-x · Cited by 726
Analog studies of the human systemic arterial tree
Westerhof, N., Bosman, F., De Vries, C. J., & Noordergraaf, A. (1969) · Journal of Biomechanics · doi:10.1016/0021-9290(69)90024-4 · Cited by 684 · cited 16×
“In Reference [12] an energy inequality was derived which bounds a measure of the energy of the hyperbolic system in terms of the initial and boundary data.”
BackgroundMethodInfluentialComputer simulation of arterial flow with applications to arterial and aortic stenoses
Stergiopulos, N., Young, D. F., & Rogge, T. R. (1992) · Journal of Biomechanics · doi:10.1016/0021-9290(92)90060-e · Cited by 511
Computational vascular fluid dynamics: problems, models and methods
Quarteroni, A., Tuveri, M., & Veneziani, A. (2000) · Computing and Visualization in Science · doi:10.1007/s007910050039 · Cited by 480
Multiscale modelling of the circulatory system: a preliminary analysis
Formaggia, L., Nobile, F., Quarteroni, A., & Veneziani, A. (1999) · Computing and Visualization in Science · doi:10.1007/s007910050030 · Cited by 279
Self-citationWave propagation in a model of the arterial circulation
Wang, J. J., & Parker, K. H. (2004) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2003.09.007 · Cited by 270
Cited by
The ‘Digital Twin’ to enable the vision of precision cardiology
Corral-Acero, J., Margara, F., Marciniak, M., Rodero, C., Loncaric, F., Feng, Y., Gilbert, A., Fernandes, J. F., Bukhari, H. A., Wajdan, A., et al. (2020) · European Heart Journal · doi:10.1093/eurheartj/ehaa159 · Cited by 932
Kissas, G., Yang, Y., Hwuang, E., Witschey, W. R., Detre, J. A., & Perdikaris, P. (2020) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2019.112623 · Cited by 647
Vignon-Clementel, I. E., Alberto Figueroa, C., Jansen, K. E., & Taylor, C. A. (2006) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2005.04.014 · Cited by 646
One-dimensional modelling of a vascular network in space-time variables
Sherwin, S. J., Franke, V., Peiró, J., & Parker, K. (2003) · Journal of Engineering Mathematics · doi:10.1023/b:engi.0000007979.32871.e2 · Cited by 464
Self-citationAlastruey, J., Khir, A. W., Matthys, K. S., Segers, P., Sherwin, S. J., Verdonck, P. R., Parker, K. H., & Peiró, J. (2011) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2011.05.041 · Cited by 441
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Metadata
- Authors
- Sherwin, S. J., Formaggia, L., Peiró, J., & Franke, V.
- Venue
- International Journal for Numerical Methods in Fluids
- Publisher
- Wiley
- Published
- 2003-10-10
- Volume
- 43
- Issue
- 6-7
- Pages
- 673-700
- ISSN
- 0271-2091 (ISSN-L)
- 1097-0363
- OpenAlex
- W2081651178
- Cited by
- 324
- References
- 13
- FWCI
- 3.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sherwin, S. J., Formaggia, L., Peiró, J., & Franke, V. (2003). Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system. International Journal for Numerical Methods in Fluids. https://doi.org/10.1002/fld.543
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
