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Session 23. Nonlinear Evolution Equations and their Applications
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Symmetry breaking in a bulk-surface reaction-diffusion model for signaling networks |
Andreas Rätz, TU Dortmund, Germany
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The talk is based on the joint work with Matthias Röger
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Small GTPases are key regulators of membrane trafficking. The
cycling of these GTPases between active and passive states
and between cytosolic and membrane-bound states is essential for
their function. The mathematical modeling of this scenario leads us
to a coupled system of reaction-diffusion equations inside and on
the membrane. For our numerical investigations, the membrane is
implicitly treated in a diffuse-interface approach to study the
influence of Turing-type mechanisms for the localization of
active/inactive GTPases. Furthermore, we use a phase field method in
order to simulate a reaction-diffusion system which is coupled to
the dynamics of the membrane.
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