Abstract
It seems reasonable to think of blood vessels as “tubes” because the physical principles of flow in tubes is at the core of how blood is conveyed within the body. Indeed, the study of these principles has been the declared theme of this book, and “flow in tubes” has been the language we used so far and the language we will continue to use. Yet, paradoxically, it would be a gross error to think of the arterial tree as only a system of branching tubes, a system of passive conduits.
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Notes
- 1.
Murray CD, 1926. The physiological principle of minimum work applied to the angle of branching of arteries. Journal of General Physiology 9:835–841.
- 2.
Zamir M. The Physics of Pulsatile Flow. Springer-Verlag, New York, 2000.
- 3.
Zamir M. Vascular system of the human heart: Some branching and scaling issues. In: Brown JH, West GB (eds.). Scaling in Biology. Oxford University Press, 2000.
- 4.
Burton AC. Physiology and Biophysics of the Circulation. Year Book Medical Publishers, Chicago, 1965.
- 5.
Murray CD, 1926. The physiological principle of minimum work applied to the angle of branching of arteries. Journal of General Physiology 9:835–841.
- 6.
Zamir M, 1978. Nonsymmetrical bifurcations in arterial branching. Journal of General Physiology 72:837–845.
- 7.
Zamir M, 1999. On fractal properties of arterial trees. J Theor Biol 197:517–526.
- 8.
Zamir M. Vascular system of the human heart: Some branching and scaling issues. In: Brown JH, West GB (eds.). Scaling in Biology. Oxford University Press, 2000.
- 9.
Zamir M. Vascular system of the human heart: Some branching and scaling issues. In: Brown JH, West GB (eds.). Scaling in Biology. Oxford University Press, 2000.
- 10.
Kassab GS, Rider CA, Tang NJ, Fung YC, Bloor CM, 1993. Morphometry of pig coronary arterial trees. American Journal of Physiology 265:H350–H365.
- 11.
Zamir M, 1999. On fractal properties of arterial trees. Journal of Theoretical Biology 197:517–526.
- 12.
Kassab GS, Rider CA, Tang NJ, Fung YC, Bloor CM, 1993. Morphometry of pig coronary arterial trees. American Journal of Physiology 265:H350–H365.
- 13.
Zamir M. Vascular system of the human heart: Some branching and scaling issues. In: Brown JH, West GB (eds.). Scaling in Biology. Oxford University Press, 2000.
- 14.
Kassab GS, Rider CA, Tang NJ, Fung YC, Bloor CM, 1993. Morphometry of pig coronary arterial trees. American Journal of Physiology 265:H350–H365.
- 15.
Zamir M. Vascular system of the human heart: Some branching and scaling issues. In: Brown JH, West GB (eds.). Scaling in Biology. Oxford University Press, 2000.
- 16.
Antiga L, Piccinelli M, Botti L, Ene-Iordache B, Remuzzi A, Steinman DA. An image-based modeling framework for patient-specific computational hemodynamics. Medical and Biological Engineering and Computing 11:1097–112.
- 17.
Kim HJ, Vignon-Clementel IE, Coogan JS, Figueroa CA, Jansen KE, Taylor CA. Patient-specific modeling of blood flow and pressure in human coronary arteries. Annals of Biomedical Engineering 10:3195–209.
- 18.
Zamir M, 1988. Distributing and delivering vessels of the human heart. Journal of General Physiology 91:725–735.
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Zamir, M. (2016). Flow in Branching Tubes. In: Hemo-Dynamics. Biological and Medical Physics, Biomedical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-24103-6_7
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