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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Modelling Cellular Reaction-Diffusion Kinetics - C
hristof Schuette (Freie Universität Berlin)
DTSTART;TZID=Europe/London:20160120T133000
DTEND;TZID=Europe/London:20160120T141500
UID:TALK64658AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/64658
DESCRIPTION:Accurate modeling of reaction kinetics is importan
t for understanding the functionality of biologic
al cells. Depending on the particle concentrations
and on the relation between particle mobility an
d reaction rate constants\, different mathematica
l models are appropriate. In the limit of slow di
ffusion and small concentrations\, both discrete p
article numbers and spatial inhomogeneity must be
taken into account. The most detailed model cons
ists of particle-based reaction-diffusion dynamics
\, where all individual particles are explicitly
resolved in time and space\, and particle position
s are propagated by diffusion equations\, and rea
ction events may occur only when reactive species
are adjacent. For rapid diffusion or large conce
ntrations\, the model may be coarse-grained in dif
ferent ways. Rapid diffusion leads to mixing and
implies that spatial resolution is not needed bel
ow a certain length scale. This permits the system
to be modeled via a spatiotemporal chemical Mast
er equation (STCME)\, i.e. a coupled set of chemic
al Master equations acting on spatial sub-volumes
. The talk will discuss these different models\;
in particular\, we will see how the STCME descr
iption can be derived from particle-based reaction
-diffusion dynamics.

Joint work with
Stefanie Winkelmann (FU Berlin) \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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