Simulation of Stochastic Reaction-Diffusion Processes on Unstructured Meshes

@article{Engblom2009SimulationOS,
  title={Simulation of Stochastic Reaction-Diffusion Processes on Unstructured Meshes},
  author={Stefan Engblom and Lars Ferm and Andreas Hellander and Per L{\"o}tstedt},
  journal={SIAM J. Scientific Computing},
  year={2009},
  volume={31},
  pages={1774-1797}
}
We model stochastic chemical systems with diffusion by a reaction-diffusion master equation. On a macroscopic level, the governing equation is a reaction-diffusion equation for the averages of the chemical species. On a mesoscopic level, the master equation for a well stirred chemical system is combined with a discretized Brownian motion in space to obtain the reaction-diffusion master equation. The space is covered in our method by an unstructured mesh, and the diffusion coefficients on the… CONTINUE READING

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