Error Bound for Piecewise Deterministic Processes Modeling Stochastic Reaction Systems

@article{Jahnke2012ErrorBF,
  title={Error Bound for Piecewise Deterministic Processes Modeling Stochastic Reaction Systems},
  author={T. Jahnke and Michael Kreim},
  journal={Multiscale Model. Simul.},
  year={2012},
  volume={10},
  pages={1119-1147}
}
  • T. Jahnke, Michael Kreim
  • Published 2012
  • Computer Science, Mathematics
  • Multiscale Model. Simul.
  • Biological processes involving the random interaction of $d$ species with integer particle numbers are often modeled by a Markov jump process on $\mathbb{N}_{0}^{d}$. Realizations of this process can, in principle, be generated with Gillespie's classical stochastic simulation algorithm, 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… CONTINUE READING

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