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SUMMARY:Contributed Talk 5: Numerical Continuation of Equilibria of Cell P
 opulation Models with Internal Cell Cycle - Kirkilionis\, M (University of
  Warwick)
DTSTART:20141127T172000Z
DTEND:20141127T173500Z
UID:TALK56388@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will discuss the behavior of a model describing unicellular 
 organisms living in a continuous culture. We do this mainly numerically\, 
 with the help of an extended version of bifurcation analysis adapted to th
 is type of quite complex (structured) population dynamics. The complexity 
 is induced by attaching a whole physiological structure to each of these c
 ells\, which in the present case describes the states of their internal ce
 ll cycle. Other pathways based on biochemistry would entirely fit into the
  modeling framework as well. In our example the cycling speed through the 
 cell cycle will depend on the environment\, which in a bioreactor environm
 ent is just the concentration of some limiting nutrient in the main tank w
 here microbial growth takes place. The model serves well as a basis of mul
 ti-scale mathematical modeling of microbial activity\, from internal cell 
 biochemistry up to the population level\, like distributions of microbial 
 biomasses in the environment. Howev er\, medical applications can be cover
 ed as well.\n
LOCATION:Seminar Room 1\, Newton Institute
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