The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Structured tree outflow condition for blood flow in larger systemic arteries
Abstract
A central problem in modeling blood flow and pressure in the larger systemic arteries is determining a physiologically based boundary condition so that the arterial tree can be truncated after a few generations. We have used a structured tree attached to the terminal branches of the truncated arterial tree in which the root impedance is estimated using a semianalytical approach based on a linearization of the viscous axisymmetric Navier-Stokes equations. This provides a dynamic boundary condition that maintains the phase lag between blood flow and pressure as well as the high-frequency oscillations present in the impedance spectra. Furthermore, it accommodates the wave propagation effects for the entire systemic arterial tree. The result is a model that is physiologically adequate as well as computationally feasible. For validation, we have compared the structured tree model with a pure resistance and a windkessel model as well as with measured data.
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Cites
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
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 1×
“With data for Cvol from Westerhof et al. ( 53 ), Stergiopulos et al. (46), and Segers et al. (45) we obtain k1 5 2.00 3 107 g·s22·cm21,k2 52 22.53 cm21, and k3 5 8.65 3 105 g·s22·cm21.”
InfluentialAnliker, M., Rockwell, R. L., & Ogden, E. (1971) · Zeitschrift für angewandte Mathematik und Physik ZAMP · doi:10.1007/bf01591407 · Cited by 202
Stettler, J. C., Niederer, P., & Anliker, M. (1981) · Annals of Biomedical Engineering · doi:10.1007/bf02363533 · Cited by 107
Cited by
Validation of a one-dimensional model of the systemic arterial tree
Reymond, P., Merenda, F., Perren, F., Rüfenacht, D., & Stergiopulos, N. (2009) · American Journal of Physiology-Heart and Circulatory Physiology · doi:10.1152/ajpheart.00037.2009 · Cited by 638
Bazilevs, Y., Gohean, J. R., Hughes, T. J. R., Moser, R. D., & Zhang, Y. (2009) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2009.04.015 · Cited by 386
Image-Based Computational Fluid Dynamics Modeling in Realistic Arterial Geometries
Steinman, D. A. (2002) · Annals of Biomedical Engineering · doi:10.1114/1.1467679 · Cited by 381
Short‐term cardiovascular oscillations in man: measuring and modelling the physiologies
Cohen, M. A., & Taylor, J. A. (2002) · The Journal of Physiology · doi:10.1113/jphysiol.2002.017483 · Cited by 362
E XPERIMENTAL AND C OMPUTATIONAL M ETHODS IN C ARDIOVASCULAR F LUID M ECHANICS
Taylor, C. A., & Draney, M. T. (2004) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.36.050802.121944 · Cited by 285
Metadata
- Authors
- Olufsen, M. S.
- Venue
- American Journal of Physiology-Heart and Circulatory Physiology
- Publisher
- American Physiological Society
- Published
- 1999-01-01
- Volume
- 276
- Issue
- 1
- Pages
- H257-H268
- ISSN
- 0363-6135 (ISSN-L)
- 1522-1539
- OpenAlex
- W2126720024
- Cited by
- 439
- References
- 4
- FWCI
- 2.26
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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