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UID:549@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150120T110000
DTEND;TZID=Europe/Paris:20150120T120000
DTSTAMP:20150105T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/biomechanical-pattern-for-cell-
 growth/
SUMMARY: (...): Biomechanical pattern for cell growth
DESCRIPTION:: In this talk\, we introduce a cell growth model that combines
  the  bio-mechanic growth effect of a viscoelastic membrane and the geomet
 ry of the cell wall. More specifically\, we consider that the density of a
 vailable building materials depends on the curvature of the cell wall. Thi
 s particular assumption leads to introduce anisotropic growth in the model
 . We show that the dynamics of the cell wall is described as a system of c
 oupled PDEs  including a convection-diffusion equation and a generalized L
 aplace equation with Neumann boundary conditions. Using a stability analys
 is\, we identify which  structure parameters make the membrane wall unstab
 le around a spherical shape. In particular\, we show that the coupling bet
 ween the two equations has to be highly non-linear to make the system unst
 able around the spherical shape. Finally\, we present numerical simulation
 s which confirm this theoretical analysis of unstable patterns.[http://per
 so.ensta-paristech.fr/~giraldi/]
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20141026T020000
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