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Morphometry of the Brain Arterial Tree

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Biofluid Mechanics
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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

  1. Murray CD: The physiological principle of minimum work I. Proc Natl Acad Sic U.S.A 12: 207–214, 1926.

    Article  Google Scholar 

  2. Murray CD: The physiological principle of minimum work applied to this angle of branching of arteries. J Gen Physiol 9: 8 355–841, 1926.

    Google Scholar 

  3. Rosen R Optimality principles in biology. Butterworth, London,1967.

    Google Scholar 

  4. Kamiya A, Togawa T: Optimal branching of the vascular tree. Bull Math Biophys 34: 431–438, 1972

    Article  Google Scholar 

  5. Zamir M: Nonsymmetrical bifurcations in arterial branching. J Gen Physiol 72: 837–845, 1978.

    Article  Google Scholar 

  6. Oka S, Nakai M: Optimality principles in vascular bifurcation. Biorheology 24: 737–751, 1987.

    Google Scholar 

  7. Hutchins GM, Miner MM, Boitnott JK: Vessel caliber and branch-angle of human coronary artery branch points. Circ Res 38: 572–576, 1976.

    Article  Google Scholar 

  8. Zamir M, Medeiros JA, Cunningham TK Arterial bifurcation in the human retina. J Gen Physiol 74: 537–548, 1978.

    Article  Google Scholar 

  9. Thompson D’AW: On growth and form. Macmillan, New York, pp 948–957, 1945

    Google Scholar 

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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

  • eBook Packages: Springer Book Archive

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