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Some mathematical properties of branching trees with application to the respiratory system

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Abstract

A number of biological branching systems, such as the bronchial and pulmonary arterial trees, are being investigated in an ongoing study in order to define their physiological properties. The technique involves the description of branching trees by the use of hierarchical systems of ordering, especially those described by Horsfield and by Strahler. During this work some mathematical properties of branching trees were demonstrated and these are described in this paper.

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Authors and Affiliations

  1. Midhurst Medical Research Institute, GU29 0BL, Midhurst, Sussex, England

    Keith Horsfield

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  1. Keith Horsfield
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Horsfield, K. Some mathematical properties of branching trees with application to the respiratory system. Bltn Mathcal Biology 38, 305–315 (1976). https://doi.org/10.1007/BF02459562

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  • DOI: https://doi.org/10.1007/BF02459562

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