Error Bound for Piecewise Deterministic Processes Modeling Stochastic Reaction Systems

@article{Jahnke2012ErrorBF,
  title={Error Bound for Piecewise Deterministic Processes Modeling Stochastic Reaction Systems},
  author={Tobias Jahnke and Michael Kreim},
  journal={Multiscale Modeling & Simulation},
  year={2012},
  volume={10},
  pages={1119-1147}
}
Biological processes involving the random interaction of d species with integer particle numbers are often modeled by a Markov jump process on N0. Realizations of this process can, in principle, be generated with the classical stochastic simulation algorithm proposed in [19], but for very reactive systems this method is usually inefficient. Hybrid models based on piecewise deterministic processes offer an attractive alternative which can decrease the simulation time considerably in applications… CONTINUE READING
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