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SUMMARY:From microscopic to macroscopic descriptions of cell migration on 
 growing domains - Dr Ruth Baker\, University of Oxford
DTSTART:20090602T161000Z
DTEND:20090602T170000Z
UID:TALK17884@talks.cam.ac.uk
CONTACT:Dr Fabien Petitcolas
DESCRIPTION:*Abstract*: Cell migration and growth are essential components
  of the development of multicellular organisms. The role of various cues i
 n directing cell migration is widespread\, in particular\, the role of sig
 nals in the environment in the control of cell motility and directional gu
 idance. In many cases\, especially in developmental biology\, growth of th
 e domain also plays a large role in the distribution of cells and\, in som
 e cases\, cell or signal distribution may actually drive domain growth. Th
 ere is a ubiquitous use of partial differential equations (PDEs) for model
 ling the time evolution of cellular density and environmental cues. In the
  last twenty years\, a lot of attention has been devoted to connecting mac
 roscopic PDEs with more detailed microscopic models of cellular motility\,
  including models of directional sensing and signal transduction pathways.
  However\, domain growth is largely omitted in the literature.\nIn this ta
 lk\, individual-based models describing cell movement and domain growth ar
 e outlined\, and correspondence with a macroscopic-level PDE describing th
 e evolution of cell density is demonstrated. The individual-basedmodels ar
 e formulated in terms of randomwalkers on a lattice. Domain growth provide
 s an extra mathematical challenge by making the lattice size variable over
  time. A reaction-diffusion master equation formalism is generalised to th
 e case of growing lattices and used in the derivation of the macroscopic P
 DEs.\n\n*Biography*: Ruth Baker is an RCUK Academic Fellow in Mathematical
  Biology at the Centre for Mathematical Biology\, part of the Mathematical
  Institute\, University of Oxford. She is a Junior Research Fellow at St H
 ugh’s College and holds a Microsoft Research European Fellowship. She ha
 s also held a Lloyds Tercentenary Foundation Fellowship.\n\nRuth completed
  her M.Math (1997-2001) and D.Phil (2001-2005) at Wadham College and also 
 held a Stipendiary Lectureship in Applied Mathematics at St John’s Colle
 ge (2004-2005).
LOCATION:Large public lecture room\, Microsoft Research\, Roger Needham Bu
 ilding\, 7 J J Thomson Avenue\, Cambridge CB3 0FB
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