Distribution networks and the optimal form of the kidney and lung

2005/12/07 by Walton R. Gutierrez, Gutierrez, Walton R.
Biochemistry, Genetics and Molecular Biology · #FOS: Biological sciences #Quantitative Methods (q-bio.QM) #Tissues and Organs (q-bio.TO) #q-bio.QM #q-bio.TO

paper · pdf · doi:10.48550/arxiv.q-bio/0512015

5 pages, 4 figures

arxiv created 2005/12/07 · arxiv updated 2009/12/01

Abstract

A model is proposed to minimize the total volume of the main distribution networks of fluids in organs such as the kidney and the lung. A consequence of the minimization analysis is that the optimal overall form of the organs is a modified ellipsoid. The variational procedure implementing this minimization is similar to the traditional isoperimetric theorems of geometry.

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