Quantitative Biology > Tissues and Organs
[Submitted on 7 Dec 2005]
Title:Distribution networks and the optimal form of the kidney and lung
View PDFAbstract: 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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