Is the Fractal Nature of Intraorgan Spatial Flow Distributions Based on Vascular Network Growth or on Local Metabolic Needs

作者: James B. Bassingthwaighte , Daniel A. Beard , Zheng Li , Tada Yipintsoi

DOI: 10.1007/978-1-4612-4156-0_16

关键词: Set (psychology)Flow (mathematics)Transit timeAdult formTheoretical computer scienceNetwork modelVascular networkComputer scienceOrder (biology)Fractal nature

摘要: In this chapter we attempt to relate the coronary vascular anatomy, a system of parallel paths with differing transit times, regional flow distributions, time distribution, and measures physiological functions. To do explore some approaches algorithmic growth. “Growth” from embryonic beginnings through development heart is not what treat here; rather try capture essence adult form network in order see how well its behavior matches that real system. This first part exercise, instead following dimensional changes occur life, an determine whether or forming model set statistically defined vessels, positioning them within contours heart, produces which shows appropriate behavior.

参考文章(36)
Johannes H. G. M. van Beek, James B. Bassingthwaighte, Stephen A. Roger, Fractal networks explain regional myocardial flow heterogeneity. Advances in Experimental Medicine and Biology. ,vol. 248, pp. 249- 257 ,(1989) , 10.1007/978-1-4684-5643-1_29
Hans Meinhardt, Models for the Formation of Netlike Structures Birkhäuser Boston. pp. 147- 172 ,(1996) , 10.1007/978-1-4612-4156-0_12
Oxygen transport to tissue INTERNATIONAL SYMPOSIUM ON OXYGEN TRANSPORT TO TISSUE ( 1973 : CHARLSTON, SOUTH CAROLINA ). ,(1973) , 10.1007/978-1-4684-3288-6
Charles D. Little, E. Helene Sage, Vladimir Mironov, Vascular morphogenesis: In vivo, in vitro, in mente ,(1997)
Karel Rakusan, Zdenek Turek, Thomas K. Goldstick, George P. Biro, Oxygen Transport to Tissue XI ,(1989)
T. F. Nonnenmacher, Ewald R. Weibel, G. A. Losa, Fractals in Biology and Medicine ,(1994)
Frank Moss, Peter Vaughan Elsmere McClintock, Experiments and simulations Cambridge University Press. ,(1989)
J. D. Murray, D. Manoussaki, S. R. Lubkin, R. Vernon, A Mechanical Theory of In Vitro Vascular Network Formation Birkhäuser Boston. pp. 173- 188 ,(1996) , 10.1007/978-1-4612-4156-0_13
Ghassan S. Kassab, Jeff Berkley, Yuan-Cheng B. Fung, Analysis of pig’s coronary arterial blood flow with detailed anatomical data Annals of Biomedical Engineering. ,vol. 25, pp. 204- 217 ,(1997) , 10.1007/BF02738551