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SUMMARY:Incompressible limit of a mechanical models for tissue growth - So
 phie Hecht (Imperial College London)
DTSTART:20171114T110000Z
DTEND:20171114T113000Z
UID:TALK94903@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We consider mathematical models for tissue growth. These model
 s describes the dynamics of the density of cells due to pressure forces an
 d proliferation. It is known that some cell population models of this kind
  converge at the incompressible limit towards a Hele-Shaw type free bounda
 ry problem. The first model introduce a non-overlapping constraint of a po
 pulation choosing a singular pressure law. The second model represents two
  interacting populations of cells which avoid mixing. Following earlier wo
 rks\, we show that the models approximate a free boundary Hele Shaw type m
 odel that we characterise using both analytical and numerical argument.
LOCATION:Seminar Room 1\, Newton Institute
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