Abstract Interpretation for Probabilistic Termination of Biological Systems

Roberta Gori
(Dipartimento di informatica, Pisa. )
Francesca Levi
(Dipartimento di informatica, Pisa)

In a previous paper the authors applied the Abstract Interpretation approach for approximating the probabilistic semantics of biological systems, modeled specifically using the Chemical Ground Form calculus. The methodology is based on the idea of representing a set of experiments, which differ only for the initial concentrations, by abstracting the multiplicity of reagents present in a solution, using intervals. In this paper, we refine the approach in order to address probabilistic termination properties. More in details, we introduce a refinement of the abstract LTS semantics and we abstract the probabilistic semantics using a variant of Interval Markov Chains. The abstract probabilistic model safely approximates a set of concrete experiments and reports conservative lower and upper bounds for probabilistic termination.

In Gabriel Ciobanu: Proceedings Third Workshop on Membrane Computing and Biologically Inspired Process Calculi 2009 (MeCBIC 2009), Bologna, Italy, 5th September 2009, Electronic Proceedings in Theoretical Computer Science 11, pp. 137–153.
Published: 30th November 2009.

ArXived at: http://dx.doi.org/10.4204/EPTCS.11.9 bibtex PDF

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