Common principles in construction of biological networks
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Abstract
In the present paper the statistical data on network geometry of the venation system of Morus
alba leaf are presented. The mathematical model of the sap motion in the conducting system of a
leaf is proposed. On the base of the solution of an optimization problem the principle of optimal
construction of a bifurcation in plant leaf venation that correspond to Murray’s law is obtained.
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Proc.Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium