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SUMMARY:Cell-based modelling for wound contraction and angiogenesis - Verm
 olen\, F (Delft University of Technology)
DTSTART:20151103T110000Z
DTEND:20151103T120000Z
UID:TALK62240@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Wound contraction and angiogenesis are biological processes th
 at often take place during healing of wounds and in tumor development. To 
 model these processes\, one distinguishes between different types of model
 s\, which are descriptive at several scales\, ranging from cellular scale 
 (micro-scale) to the tissue scale (macro-scale). The models are on the mac
 ro-scale are based on continuum hypotheses\, which means that one sets up 
 and solves partial differential equations with the associated boundary and
  initial conditions. On the smallest scale one models all kinds of cell ph
 enomena on a molecular level. In this talk\, we will consider colonies of 
 cells\, which are treated as discrete entities\, as well as chemical and m
 echanical signals that are modelled as sets of partial differential equati
 ons. Hence\, the current approach is a hybride one. \n\nThe process of ang
 iogenesis\, which is the formation of a vascular network in tissues\, is o
 ften modeled by using principles based on cell densities in a continuum ap
 proach or on hybride cellular-continuum level where one uses cellular auto
 mata (in particular cellular Potts) models. In this study\, we abandon the
  lattice needed to model the cell positions in cellular automata modelling
  and instead\, we apply a continuous cell-based approach to simulate three
 -dimensional angiogenesis. Next to the application of this modelling strat
 egy to angiogenesis\, we discuss the application of the formalism to wound
  contraction.\n\nThe talk will describe some of the mathematical issues en
 countered in these models and further some animations will be shown to ill
 ustrate the potential merits of our approaches.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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