2009 | OriginalPaper | Buchkapitel
Extended Stochastic Petri Nets for Model-Based Design of Wetlab Experiments
verfasst von : Monika Heiner, Sebastian Lehrack, David Gilbert, Wolfgang Marwan
Erschienen in: Transactions on Computational Systems Biology XI
Verlag: Springer Berlin Heidelberg
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This paper introduces extended stochastic Petri nets to model wetlab experiments. The extentions include read and inhibitor arcs, stochastic transitions with freestyle rate functions as well as several deterministically timed transition types: immediate firing, deterministic firing delay, and scheduled firing. The extensions result into non-Markovian behaviour, which precludes analytical analysis approaches. But there are adapted stochastic simulation analysis (SSA) methods, ready to deal with the extended behaviour. Having the simulation traces, we apply simulative model checking of PLTL, a linear-time temporal logic (LTL) in a probabilistic setting.
We present some typical model components, demonstrating the suitability of the introduced Petri net class for the envisaged application scenario. We conclude by looking briefly at a classical example of prokaryotic gene regulation, the lac operon case.