From Gene Regulation to Stochastic Fusion

  • Authors:
  • Gabriel Ciobanu

  • Affiliations:
  • Faculty of Computer Science, Romanian Academy, Institute of Computer Science, "A.I.Cuza" University, Iaşi, Romania 700506

  • Venue:
  • UC '08 Proceedings of the 7th international conference on Unconventional Computing
  • Year:
  • 2008

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Abstract

Usual process algebras are working with one-to-one interactions, and so it is difficult to use them in order to describe complex biological systems like gene regulation where many-to-many interactions are involved. We overcome this limitation and present a stochastic fusion calculus suitable to describe the dynamic behaviour involving many-to-many interactions. We extend the semantics of the fusion calculus from labelled transition system to stochastic labelled transition system where the evolution of a system is driven by probability distributions, then we analyse the stochastic distribution of the synchronization between interacting processes. Finally we define and study a stochastic hyperequivalence, and present an axiomatic system for it.