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A PDE System Modeling Biological Network Formation

By Peter Markowich, King Abdullah University of Science and Technology

We present a PDE model for biological (fluid) network formation. The model consists of a Poisson equation for the fluid pressure (based on Darcy’s law) coupled to a reaction diffusion equation for the network conductance vector. We discuss existence&uniqueness issues, bifurcations of stationary solutions and diffusion-caused network formation by a Turing-type instability.

Earlier Event: April 24
Opening Remarks
Later Event: April 24
Coffee Break