Corrected mean-field models for spatially dependent advection-diffusion-reaction phenomena.

@article{Simpson2011CorrectedMM,
  title={Corrected mean-field models for spatially dependent advection-diffusion-reaction phenomena.},
  author={Matthew J. Simpson and Ruth E. Baker},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 5 Pt 1},
  pages={051922}
}
In the exclusion-process literature, mean-field models are often derived by assuming that the occupancy status of lattice sites is independent. Although this assumption is questionable, it is the foundation of many mean-field models. In this work we develop methods to relax the independence assumption for a range of discrete exclusion-process-based mechanisms motivated by applications from cell biology. Previous investigations that focused on relaxing the independence assumption have been… CONTINUE READING

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