Exact and approximate solutions for spatial stochastic models of biochemical systems

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• Ramon Grima (University of Edinburgh)
• Monday 20 June 2016, 16:00-16:45
• Seminar Room 1, Newton Institute.

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SDBW04 - Spatially distributed stochastic dynamical systems in biology

Co-authors: Claudia Cianci (University of Edinburgh), Stephen Smith (University of Edinburgh)

Stochastic effects in chemical reaction systems have been mostly studied via the chemical master equation, a non-spatial discrete stochastic formulation of chemical kinetics which assumes well-mixing and point-like interactions between molecules. These assumptions are in direct contrast with what experiments tells us about the nature of the intracellular environment, namely that diffusion plays a fundamental role in intracellular dynamics and that the environment itself is highly non-dilute (or crowded). I will here describe our recent work on obtaining (i) exact expressions for the solution of the reaction-diffusion master equation (RDME) and its crowded counterpart (cRDME) in equilibrium conditions and (ii) approximate expressions for the moments in non-equilibrium conditions. The solutions portray an emerging picture of the combined influence of diffusion and crowding on the stochastic properties of chemical reaction networks.

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• http://grimagroup.bio.ed.ac.uk/index.html

This talk is part of the Isaac Newton Institute Seminar Series series.

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