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Form and function of arterial bifurcations in various parts of the animal body

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Abstract

Branching patterns of arterial networks might influence vascular resistance and allow control of blood supply to peripheral tissues. Arterial casts from the brain, kidneys, and earlobes of cats and the chorioallantoic arteries of chick embryos were used for microscopic measurements of arterial geometry. From the measured diameters of parent and two daughter vessels at arterial bifurcations, we calculated the diameter exponent m. By applying the minimum work concept to blood flow through a cylindrical vessel, an optimal value m = 3 has been derived (Murray’s cubic law). The measured values of the diameter exponent were 2.59, 2.54, 2.58, and 2.49 for the brain, kidneys, earlobes, and chick embryos, respectively, exhibiting significant deviation from Murray’s law. The physiological implication of the m values is discussed here.

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Authors and Affiliations

  1. Kanagawa Institute of Technology, Shimo-ogino 1030, Atsugi, Kanagawa, 243-0292, Japan

    Takashi Matsuo, Shin-ichi Watanabe & Hidenobu Takao

  2. Yokohama College of Systems Engineering, Yokohama, Kanagawa, 241-0826, Japan

    Masato Nakakubo

  3. Asahikawa Medical University, Asahikawa, Hokkaido, 078-8510, Japan

    Tatsuhisa Takahashi

Authors
  1. Takashi Matsuo
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  2. Shin-ichi Watanabe
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  3. Masato Nakakubo
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  4. Hidenobu Takao
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  5. Tatsuhisa Takahashi
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Correspondence to Takashi Matsuo.

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Matsuo, T., Watanabe, Si., Nakakubo, M. et al. Form and function of arterial bifurcations in various parts of the animal body. Artif Life Robotics 18, 2–6 (2013). https://doi.org/10.1007/s10015-013-0091-3

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  • DOI: https://doi.org/10.1007/s10015-013-0091-3

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