Jane Hillston

  1. A semi-quantitative equivalence for abstracting from fast reactions.

    Authors: Federica Ciocchetta, Jane Hillston, Vashti Galpin
    Subjects: and Science, Computational Engineering, Finance
    Abstract

    Semantic equivalences are used in process algebra to capture the notion of
    similar behaviour, and this paper proposes a semi-quantitative equivalence for
    a stochastic process algebra developed for biological modelling. We consider
    abstracting away from fast reactions as suggested by the Quasi-Steady-State
    Assumption. We define a fast-slow bisimilarity based on this idea. We also show
    congruence under an appropriate condition for the cooperation operator of
    Bio-PEPA.

  2. HYPE with stochastic events.

    Authors: Jane Hillston, Luca Bortolussi, Vashti Galpin
    Subjects: Logic in Computer Science
    Abstract

    The process algebra HYPE was recently proposed as a fine-grained modelling
    approach for capturing the behaviour of hybrid systems. In the original
    proposal, each flow or influence affecting a variable is modelled separately
    and the overall behaviour of the system then emerges as the composition of
    these flows. The discrete behaviour of the system is captured by instantaneous
    actions which might be urgent, taking effect as soon as some activation
    condition is satisfied, or non-urgent meaning that they can tolerate some
    (unknown) delay before happening.

  3. Modeling biological systems with delays in Bio-PEPA.

    Authors: Jane Hillston, Giulio Caravagna
    Subjects: and Science, Computational Engineering, Finance
    Abstract

    Delays in biological systems may be used to model events for which the
    underlying dynamics cannot be precisely observed, or to provide abstraction of
    some behavior of the system resulting more compact models. In this paper we
    enrich the stochastic process algebra Bio-PEPA, with the possibility of
    assigning delays to actions, yielding a new non-Markovian process algebra:
    Bio-PEPAd. This is a conservative extension meaning that the original syntax of
    Bio-PEPA is retained and the delay specification which can now be associated
    with actions may be added to existing Bio-PEPA models.

  4. Investigating modularity in the analysis of process algebra models of biochemical systems.

    Authors: Federica Ciocchetta, Maria Luisa Guerriero, Jane Hillston
    Subjects: and Science, Computational Engineering, Finance
    Abstract

    Compositionality is a key feature of process algebras which is often cited as
    one of their advantages as a modelling technique. It is certainly true that in
    biochemical systems, as in many other systems, model construction is made
    easier in a formalism which allows the problem to be tackled compositionally.
    In this paper we consider the extent to which the compositional structure which
    is inherent in process algebra models of biochemical systems can be exploited
    during model solution. In essence this means using the compositional structure
    to guide decomposed solution and analysis.

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