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UID:4965@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20231120T000000
DTEND;TZID=Europe/Paris:20231124T000000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/branched-transport-and-network-
 formation-in-biology-projet-boum-de-la-smai/
SUMMARY: (...): Branched transport and network formation in biology (Projet
  BOUM de la SMAI)
DESCRIPTION:: \n\n\n\n\n\nRESEARCH IN RESIDENCE\nProjet BOUM de la SMAI \n\
 n\n\n\nBranched transport and network formation in biology\nTransport bran
 ché et formation de réseaux en biologie\n20 – 24 November\, 2023\n\n\n
 \n\n\n\n\n\n\n\n\nParticipants\nRomain Hug (Aix-Marseille Université)\nAn
 tonin Monteil (Université Paris-Est Créteil)\nPaul Pegon (Université Pa
 ris-Dauphine-PSL)\n\n\n\n\n\n\n\n\n\n\n\n\nWe want to perform a variationa
 l treatment of the mechanisms governing network formation in biology (leaf
  venation\, vascular system. . . ). The existing literature suggests takin
 g into account two distinct energy effects: energy dissipation via Joule e
 ffect and a material cost taking into account diffusion effects\, among ot
 her things. The Joule effect favours a high capacity of the network\, whil
 e the material cost prefers a smaller network. The conductance\, that repr
 esents the network\, then realizes the balance between the two effects. We
  expect concentration on a 1D network as the diffusion intensity\, represe
 nted by a parameter D &gt\; 0 tends to 0. After two previous meetings betw
 een the project members\, we realized that the limiting contribution of th
 e material cost should be given by a variant of the branched transport ene
 rgy (a non-convex variant of optimal transport)\, but it was still unclear
  how the Joule effect is relaxed in the limit and whether it is coupled wi
 th this limiting material cost.\nOur aim is to clarify this question by ri
 gorous mathematical analysis and numerical simulations. The CIRM offers th
 e perfect environement for collaborative coding\, and is easily  reachabl
 e by the three members. A duration of one week is a reasonable balance bet
 ween schedule constraints of the members\, and the intended objectives of 
 the meeting.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nSPONSOR\
 n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
CATEGORIES:Manifestation scientifique,Research in Residence
LOCATION:Luminy - CIRM\, 163 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
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