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A semantic equivalence for Bio-PEPA based on discretisation of continuous values

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)2142-2161
Number of pages20
JournalTheoretical Computer Science
Volume412
Issue number21
DOIs
Publication statusPublished - 6 May 2011

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 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 number of levels, by using the idea of equivalence from concurrency and process algebra. We present a novel behavioural semantic equivalence, compression bisimilarity, and investigate when this equates two discretisations of the same model and the circumstances in which this equivalence is a congruence with respect to the synchronisation operator. (C) 2011 Elsevier B.V. All rights reserved.

    Research areas

  • Process algebra, Biological modelling, Discretisation, Semantic equivalence, Compression bisimulation, Congruence, Stoichiometry

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