Volume integration of fractal distribution networks

Walton R. Gutierrez
Phys. Rev. E 66, 041906 – Published 21 October 2002
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Abstract

An approach based on integral calculus methods is developed in order to determine the volume of a distribution network with fractal characteristics. This approach introduces alternative useful techniques and concepts to the study of the self-similarity of fractal distribution networks. The application to the allometry of organs reveals other possible scaling for the bronchial tree and the kidney arterial tree of mammals.

  • Received 15 January 2002

DOI:https://doi.org/10.1103/PhysRevE.66.041906

©2002 American Physical Society

Authors & Affiliations

Walton R. Gutierrez*

  • Touro College, 27 West 23rd Street, New York, NY 10010

  • *Electronic address: waltong@touro.edu

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Issue

Vol. 66, Iss. 4 — October 2002

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