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SUMMARY:Equilibrium distributions of simple biochemical reaction systems f
 or time-scale separation in stochastic reaction networks - Bence Mélykút
 i (Albert-Ludwigs-Universität Freiburg)
DTSTART:20160210T150000Z
DTEND:20160210T160000Z
UID:TALK64700@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Many biochemical reaction networks are inherently multiscale i
 n time and in the counts of participating molecular species. A standard te
 chnique to treat different time scales in the stochastic kinetics framewor
 k is averaging or quasi-steady-state analysis: it is assumed that the fast
  dynamics reaches its equilibrium (stationary) distribution on a time scal
 e where the slowly varying molecular counts are unlikely to have changed. 
 We derive analytic equilibrium distributions for various simple biochemica
 l systems\, such as enzymatic reactions and gene regulation models. These 
 can be directly inserted into simulations of the slow time-scale dynamics.
  They also provide insight into the stimulus&ndash\;response of these syst
 ems. An important model for which we derive the analytic equilibrium distr
 ibution is the binding of dimer transcription factors (TFs) that first hav
 e to form from monomers. This gene regulatory mechanism is compared to the
  cases of the binding of simple monomer TFs to one gene or to multiple cop
 ies of a gene\, and to the cases of the cooperative binding of two or mult
 iple TFs to a gene. The results apply equally to ligands binding to enzyme
  molecules.
LOCATION:Seminar Room 2\, Newton Institute
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