Distribution networks and the optimal form of the kidney and lung

Details Distribution networks and the optimal form of the kidney and lung Distribution networks and the optimal form of the kidney and lung

2005-12-07

arxiv.org/abs/q-bio/0512015v1

Biology

Quantitative Biology

Tissues and Organs

5 pages, 4 figures

Scientific paper

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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