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SUMMARY:Partial integro-differential equation models for the spatial sprea
 d and evolutionary dynamics of heterogeneous cell populations - Tommaso Lo
 renzi (Politecnico di Torino)
DTSTART:20230811T123000Z
DTEND:20230811T133000Z
UID:TALK201487@talks.cam.ac.uk
DESCRIPTION:In this talk\, partial integro-differential equation models de
 scribing the spatial spread and evolutionary dynamics of heterogeneous cel
 l populations will be considered. In these models\, a continuous structuri
 ng variable captures intercellular variability in cell proliferation and m
 igration rates. A formal derivation of such deterministic\, continuum mode
 ls from corresponding stochastic\, individual-based models will be carried
  out\, analytical and numerical results summarising the behaviour of the s
 olutions to the model equations will be presented\, and the insights gener
 ated by these results into the mechanisms that underpin collective cell mi
 gration will be briefly discussed.
LOCATION:Seminar Room 1\, Newton Institute
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