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UID:20260624T020728EDT-83158VEUVD@132.216.98.100
DTSTAMP:20260624T060728Z
DESCRIPTION:Title: Pattern formation in a coupled membrane-bulk reaction-di
 ffusion model for intracellular polarization and oscillations\n\nAbstract:
 \n\nIn recent years\, there has been an interest in the theory of coupled 
 bulk-surface semilinear partial differential equations and their applicati
 ons in cell biology. One of the reasons behind this is the natural compart
 mentalization of cytosolic (bulk) and membrane-bound species that such a c
 lass of models allows. Here we consider the distribution of the polarity p
 rotein Cdc42 in a mass-conserved membrane-bulk model\, and explore the eff
 ects of spatial dimensionality and diffusion on the formation of spatio-te
 mporal patterns. In a simplified geometry consisting of a 1-D spatial bulk
  domain\, the model reduces to a coupled PDE-ODE system\, with passive dif
 fusion inside the cell coupled to two systems of nonlinear ODEs for bindin
 g kinetics at each end of the cell. On a 2-D circular bulk domain\, specie
 s can also also move along the membrane and thus surface diffusion is adde
 d to the nonlinear ODEs. In both cases\, the coupling is modeled with nonl
 inear Robin-type boundary conditions. Finally\, our analysis of the 1-D ca
 se reveals the existence of symmetric and asymmetric steady states\, as we
 ll as anti-phase relaxation-type oscillations existing in the limit of lon
 g membrane-residence time\, whereas in 2-D we observe the formation of sta
 tionary Turing patterns\, rotating waves and standing waves. This is joint
  work with Bin Xu\, Kelsey DiPietro\, Alan Lindsay and Alexandra Jilkine\,
  from the University of Notre Dame.\n
DTSTART:20190930T200000Z
DTEND:20190930T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Frédéric Paquin-Lefebvre (UBC)
URL:/mathstat/channels/event/frederic-paquin-lefebvre-
 ubc-300409
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