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UID:3580@test.i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150120T110000
DTEND;TZID=Europe/Paris:20150120T120000
DTSTAMP:20150105T100000Z
URL:https://test.i2m.univ-amu.fr/events/biomechanical-pattern-for-cell-gro
wth/
SUMMARY:Biomechanical pattern for cell growth -
DESCRIPTION:In this talk\, we introduce a cell growth model that combines t
he bio-mechanic growth effect of a viscoelastic membrane and the geometry
of the cell wall. More specifically\, we consider that the density of ava
ilable building materials depends on the curvature of the cell wall. This
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 cou
pled PDEs including a convection-diffusion equation and a generalized Lap
lace equation with Neumann boundary conditions. Using a stability analysis
\, we identify which structure parameters make the membrane wall unstable
around a spherical shape. In particular\, we show that the coupling betwe
en the two equations has to be highly non-linear to make the system unstab
le around the spherical shape. Finally\, we present numerical simulations
which confirm this theoretical analysis of unstable patterns.[http://perso
.ensta-paristech.fr/~giraldi/]
CATEGORIES:Séminaire Analyse Appliquée (AA)
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DTSTART:20141026T020000
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