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| Title | Speaker |
|---|---|
| Mesoscopic Stochastic Modeling of Reaction-Diffusion Processes | Stefan Engblom |
| Location | Time and Date |
|---|---|
| PDC seminar room, Teknikringen 14, level 3 | 14.30-15.30, 2010-02-10 |
| Abstract |
|---|
| We consider diffusion-controlled reactions with applications mainly in molecular biology. Since microscopic models of realistically large reaction networks are prohibitively complex, well stirred chemically reacting systems are often modeled by a continuous-time Markov chain (chemical master equation). For problems with spatial dependence, a suitable discrete version of Brownian motion in the computational domain can be combined with well stirred chemical kinetics to obtain the reaction-diffusion master equation. This is a viable stochastic model at the mesoscopic scale. It was previously not well understood how to sample from this model other than for the simple case of Cartesian meshes. In this talk I will discuss the conditions for the validity of this approach and show how to evolve the model in a consistent way using unstructured meshes. The resulting method is a flexible hybrid algorithm in that the diffusion can be handled either in the stochastic or in the deterministic domain. Possible applications of the method are illustrated with examples inspired by molecular biology. |
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