Presented by:
Christof Schuette
Date:
Wednesday 20th January 2016 - 13:30 to 14:15
Venue:
INI Seminar Room 1
Event:
Abstract:
Accurate modeling of reaction kinetics is important for
understanding 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 detailed model
consists of particle-based reaction-diffusion dynamics,
where all individual particles
are explicitly resolved in time and space, and particle
positions are propagated by
diffusion equations, and reaction events may occur only
when reactive species are
adjacent.
For rapid diffusion or large concentrations, the model
may be coarse-grained in different
ways. Rapid diffusion leads to mixing and implies that
spatial resolution 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-volumes.
The talk will discuss these different models;
in particular, we will see how the STCME description can
be derived from particle-based reaction-diffusion dynamics.
Joint work with Stefanie Winkelmann (FU Berlin)
Joint work with Stefanie Winkelmann (FU Berlin)
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