A design principle for vascular beds: the effects of complex blood rheology

作者: Tomás Alarcón , Helen M. Byrne , Philip K. Maini

DOI: 10.1016/J.MVR.2005.02.002

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摘要: We propose a design principle that extends Murray's original optimization for vascular architecture to account complex blood rheology. Minimization of an energy dissipation function enables us determine how rheology affects the morphology simple branching networks. The behavior various physical quantities associated with networks, such as wall shear stress and flow velocity, is also determined. Our results are shown be qualitatively quantitatively compatible independent experimental observations simulations.

参考文章(14)
Mary D.S. Frame, Ingrid H. Sarelius, Energy Optimization and Bifurcation Angles in the Microcirculation Microvascular Research. ,vol. 50, pp. 301- 310 ,(1995) , 10.1006/MVRE.1995.1060
Paolo A. Netti, Sylvie Roberge, Yves Boucher, Laurence T. Baxter, Rakesh K. Jain, Effect of transvascular fluid exchange on pressure-flow relationship in tumors: a proposed mechanism for tumor blood flow heterogeneity. Microvascular Research. ,vol. 52, pp. 27- 46 ,(1996) , 10.1006/MVRE.1996.0041
Axel R. Pries, Timothy W. Secomb, Peter Gaehtgens, Design principles of vascular beds. Circulation Research. ,vol. 77, pp. 1017- 1023 ,(1995) , 10.1161/01.RES.77.5.1017
M. Zamir, Optimality principles in arterial branching Journal of Theoretical Biology. ,vol. 62, pp. 227- 251 ,(1976) , 10.1016/0022-5193(76)90058-8
C. D. Murray, The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 12, pp. 207- 214 ,(1926) , 10.1073/PNAS.12.3.207
M LaBarbera, Principles of design of fluid transport systems in zoology Science. ,vol. 249, pp. 992- 1000 ,(1990) , 10.1126/SCIENCE.2396104
Nitzan Resnick, Hava Yahav, Ayelet Shay-Salit, Moran Shushy, Shay Schubert, Limor Chen Michal Zilberman, Efrat Wofovitz, Fluid shear stress and the vascular endothelium: for better and for worse. Progress in Biophysics & Molecular Biology. ,vol. 81, pp. 177- 199 ,(2003) , 10.1016/S0079-6107(02)00052-4
Geoffrey B West, James H Brown, Brian J Enquist, A general model for the origin of allometric scaling laws in biology Science. ,vol. 276, pp. 122- 126 ,(1997) , 10.1126/SCIENCE.276.5309.122
V.V. GAFIYCHUK, I.A. LUBASHEVSKY, On the principles of the vascular network branching. Journal of Theoretical Biology. ,vol. 212, pp. 1- 9 ,(2001) , 10.1006/JTBI.2001.2277