Bulletin of Mathematical Biology

, Volume 38, Issue 3, pp 305–315

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

  • Keith Horsfield

DOI: 10.1007/BF02459562

Cite this article as:
Horsfield, K. Bltn Mathcal Biology (1976) 38: 305. doi:10.1007/BF02459562


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.

Copyright information

© Society for Mathematical Biology 1976

Authors and Affiliations

  • Keith Horsfield
    • 1
  1. 1.Midhurst Medical Research InstituteMidhurstEngland