Geodesic
Trasporto ottimo, sistemi viventi
Matematica, cultura e società, Série 1, Tome 2 (2017) no. 3, pp. 327-341

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

This review concerns the optimal transport theory, providing some news about its birth, its renewed rediscovery and the resulting unexpected new applications. We are talking about optimal transport for the arterial system, Kleiber's law, tree roots, and finally the diffusion of the Physarum Polycephalum mold and its geodetic features. The central thread of our tale is the problem of Monge-Kantorovich, starting from its original static formulation, passing through a stationary dynamic reading, up to a dynamic non stationary transient phase (in the case of molds), tending asymptotically in time to the stationary Monge-Kantorovich setting. The exposition is accompanied by the use of very basic techniques. Measure theory and functional analysis are merely mentioned and we try to keep the story as readable as possible to interested people. 
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     title = {Trasporto ottimo, sistemi viventi},
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Cardin, Franco. Trasporto ottimo, sistemi viventi. Matematica, cultura e società, Série 1, Tome 2 (2017) no. 3, pp. 327-341. http://geodesic.mathdoc.fr/item/RUMI_2017_1_2_3_a6/