Expressive statistical model checking of genetic networks with delayed stochastic dynamics

  • Authors:
  • Paolo Ballarini;Jarno Mäkelä;Andre S. Ribeiro

  • Affiliations:
  • Ecole Centrale Paris, France;Tampere University of Technology, Finland;Tampere University of Technology, Finland

  • Venue:
  • CMSB'12 Proceedings of the 10th international conference on Computational Methods in Systems Biology
  • Year:
  • 2012

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Abstract

The recently introduced Hybrid Automata Stochastic Logic (HASL) establishes a powerful framework for the analysis of a broad class of stochastic processes, namely Discrete Event Stochastic Processes (DESPs). Here we demonstrate the potential of HASL based verification in the context of genetic circuits. To this aim we consider the analysis of a model of gene expression with delayed stochastic dynamics, a class of systems whose dynamics includes both Markovian and non-Markovian events. We identify a number of relevant properties related to this model, formally express them in HASL terms and, assess them with COSMOS, a statistical model checker for HASL model checking. We demonstrate that this allows assessing the "performances" of a biological system beyond the capability of other stochastic logics.