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• W2950603831 abstract "The behavior of some stochastic chemical reaction networks is largely unaffected by slight inaccuracies in reaction rates. We formalize the robustness of state probabilities to reaction rate deviations, and describe a formal connection between robustness and efficiency of simulation. Without robustness guarantees, stochastic simulation seems to require computational time proportional to the total number of reaction events. Even if the concentration (molecular count per volume) stays bounded, the number of reaction events can be linear in the duration of simulated time and total molecular count. We show that the behavior of robust systems can be predicted such that the computational work scales linearly with the duration of simulated time and concentration, and only polylogarithmically in the total molecular count. Thus our asymptotic analysis captures the dramatic speedup when molecular counts are large, and shows that for bounded concentrations the computation time is essentially invariant with molecular count. Finally, by noticing that even robust stochastic chemical reaction networks are capable of embedding complex computational problems, we argue that the linear dependence on simulated time and concentration is likely optimal." @default.
• W2950603831 created "2019-06-27" @default.
• W2950603831 creator A5065095363 @default.
• W2950603831 date "2008-03-07" @default.
• W2950603831 modified "2023-09-27" @default.
• W2950603831 title "Robust Stochastic Chemical Reaction Networks and Bounded Tau-Leaping" @default.
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• W2950603831 hasPublicationYear "2008" @default.
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