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Four arguments against the reaction-diffusion master equation (and one in its favour).

Presented by: 
Stephen Smith University of Edinburgh
Tuesday 31st May 2016 - 15:00 to 16:00
INI Seminar Room 2
The reaction-diffusion master equation (RDME) is a well-established and popular lattice-based mathematical description of spatial stochastic chemical systems. A well-known argument against the RDME is that it gives absurd results in the limit of small lattice spacing: this fact has led researchers to develop modified RDMEs which avoid this problem. In this talk, I will offer three further scenarios in which the RDME cannot be considered an accurate description of the underlying physical process. I subsequently argue that there is only a tiny class of problems for which the RDME is the most appropriate route to a solution. I will conclude by offering a beautiful problem from this tiny class to which the RDME provides a remarkable and counterintuitive solution.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons