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SUMMARY:Modelling Cellular Reaction-Diffusion Kinetics - Christof Schuette
  (Freie Universität Berlin)
DTSTART:20160120T133000Z
DTEND:20160120T141500Z
UID:TALK64658@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Accurate modeling of reaction kinetics is important for unders
 tanding the functionality  of biological cells. Depending on the particle 
 concentrations  and on the relation between particle mobility and reaction
  rate constants\,  different mathematical models are appropriate.  In the 
 limit of slow diffusion and small concentrations\, both discrete particle 
 numbers  and spatial inhomogeneity must be taken into account. The most de
 tailed model  consists of particle-based reaction-diffusion dynamics\, whe
 re all individual particles  are explicitly resolved in time and space\, a
 nd particle positions are propagated by  diffusion equations\, and reactio
 n events may occur only when reactive species are  adjacent.  For rapid di
 ffusion or large concentrations\, the model may be coarse-grained in diffe
 rent  ways. Rapid diffusion leads to mixing and implies that spatial resol
 ution is not  needed below a certain length scale. This permits the system
  to be modeled via a spatiotemporal  chemical Master equation (STCME)\, i.
 e. a coupled set of chemical Master  equations acting on spatial sub-volum
 es.   The talk will discuss these different models\;   in particular\, we 
 will see how the STCME description can be derived from particle-based reac
 tion-diffusion dynamics. <br><span><br>Joint work with Stefanie Winkelmann
  (FU Berlin)&nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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