Some mathematical properties of branching trees with application to the respiratory system
Received: 18 July 1975 Revised: 19 November 1975 DOI:
10.1007/BF02459562 Cite this article as: Horsfield, K. Bltn Mathcal Biology (1976) 38: 305. doi:10.1007/BF02459562 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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© Society for Mathematical Biology 1976