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Equivalence and Discretisation in Bio-PEPA

  • Vashti Galpin
  • Jane Hillston
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5688)

Abstract

Bio-PEPA is a process algebra for modelling biological systems. An important aspect of Bio-PEPA is the ability it provides to discretise concentrations resulting in a smaller, more manageable state space. The discretisation is based on a step size which determines the size of each discrete level and also the maximum number of levels. This paper considers the relationship between two discretisations of the same Bio-PEPA model that differ only in the step size and hence the maximum number of levels, by using the idea of equivalence from concurrency and process algebra. We present a novel behavioural semantic equivalence, compression bisimulation, that equates two discretisations of the same model and we show that this equivalence is a congruence with respect to the synchronisation operator.

Keywords

Equivalence Class Equivalence Relation System Biology Transition System Model Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Vashti Galpin
    • 1
  • Jane Hillston
    • 1
    • 2
  1. 1.LFCS, School of InformaticsUniversity of EdinburghScotland
  2. 2.Centre for Systems Biology (CSBE)University of EdinburghScotland

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