Algorithm for Mesoscopic Advection–Diffusion

@article{Noel2018AlgorithmFM,
  title={Algorithm for Mesoscopic Advection–Diffusion},
  author={Adam Noel and Dimitrios Makrakis},
  journal={IEEE Transactions on NanoBioscience},
  year={2018},
  volume={17},
  pages={543-554}
}
In this paper, an algorithm is presented to calculate the transition rates between adjacent mesoscopic subvolumes in the presence of flow and diffusion. These rates can be integrated in stochastic simulations of reaction-diffusion systems that follow a mesoscopic approach, i.e., that partition the environment into homogeneous subvolumes and apply the spatial stochastic simulation algorithm (spatial SSA). The rates are derived by integrating Fick’s second law over a single subvolume in 1D and… 

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