Distribution networks and the optimal form of the kidney and lung
نویسنده
چکیده
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. PREPRINT, May 2005 Note: An expanded version of this article will be available sometime in Dec. of 2005, taking a closer look at the fractal nature of the network.
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