Abstract
From casts of cat brain vessels, the branching angles and diameters of blood vessels at arterial bifurcations were measured. The results were compared with theoretical predictions based on the principle of minimum work in order to understand the physiological principle governing arterial branching. It was revealed that the branching angles measured have statistically significant correlations with relative sizes of parent and branch vessels, as predicted by the optimal theories. However, it was found that the arteries were well winding, and thereby the branching angles could be determined only in the neighborhood of branch points. This suggests that the branching angle of arterial bifurcation is governed by local factors.
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References
Murray CD: The physiological principle of minimum work I. Proc Natl Acad Sic U.S.A 12: 207–214, 1926.
Murray CD: The physiological principle of minimum work applied to this angle of branching of arteries. J Gen Physiol 9: 8 355–841, 1926.
Rosen R Optimality principles in biology. Butterworth, London,1967.
Kamiya A, Togawa T: Optimal branching of the vascular tree. Bull Math Biophys 34: 431–438, 1972
Zamir M: Nonsymmetrical bifurcations in arterial branching. J Gen Physiol 72: 837–845, 1978.
Oka S, Nakai M: Optimality principles in vascular bifurcation. Biorheology 24: 737–751, 1987.
Hutchins GM, Miner MM, Boitnott JK: Vessel caliber and branch-angle of human coronary artery branch points. Circ Res 38: 572–576, 1976.
Zamir M, Medeiros JA, Cunningham TK Arterial bifurcation in the human retina. J Gen Physiol 74: 537–548, 1978.
Thompson D’AW: On growth and form. Macmillan, New York, pp 948–957, 1945
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© 1990 Springer-Verlag Berlin Heidelberg
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Matsuo, T., Okeda, R. (1990). Morphometry of the Brain Arterial Tree. In: Liepsch, D.W. (eds) Biofluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52338-0_25
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DOI: https://doi.org/10.1007/978-3-642-52338-0_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52730-5
Online ISBN: 978-3-642-52338-0
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