Seminar 24.10.2013: Pavol Bokes

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 24.10.2013: Pavol Bokes

Postby quittner » Tue Oct 15, 2013 1:20 pm

Seminár z kvalitatívnej teórie diferenciálnych rovníc

Štvrtok 24.10.2013 o 14:15 v posluchárni M-223

Pavol Bokes (KAMŠ FMFI UK):
Hybrid simulation of stochastic gene expression

Hybrid models for gene expression combine stochastic and deterministic
representations of the underlying biophysical mechanisms.
According to one of the simplest hybrid formalisms, protein molecules
are produced in randomly occurring bursts of a randomly distributed size
while they are degraded deterministically. Here, we use this particular
formalism to study two key regulatory motifs - the autoregulation loop
and the toggle switch. The distribution of burst times is determined
and used as a basis for the development of exact simulation algorithms
for gene expression dynamics. For the autoregulation loop,
the simulations are compared to an analytic solution of a master equation.
Simulations of the toggle switch reveal a number of qualitatively
distinct scenarios with implications for the modelling of cell-fate
selection. The talk contains results which the author has obtained
in collaboration with John R. King, Andrew T. A. Wood and Matthew Loose.
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