Four arguments against the reaction-diffusion master equation (and one in its favour).
Duration: 45 mins 46 secs
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Description: |
Smith, S (University of Edinburgh)
Tuesday 31st May 2016 - 15:00 to 16:00 |
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Created: | 2016-06-28 12:51 |
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Collection: | Stochastic Dynamical Systems in Biology: Numerical Methods and Applications |
Publisher: | Isaac Newton Institute |
Copyright: | Smith, S |
Language: | eng (English) |
Abstract: | 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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