Complexity of model checking for reaction systems

Sepinoud Azimi Rashti, Cristian Gratie, Sergiu Ivanov, Luca Manzoni, Ion Petre, Antonio E. Porreca

    Research output: Contribution to journalArticleScientificpeer-review

    13 Citations (Scopus)

    Abstract

    Reaction systems are a new mathematical formalism inspired by the living cell and driven by only two basic mechanisms: facilitation and inhibition. As a modeling framework, they differ from the traditional approaches based on ODEs and CTMCs in two fundamental aspects: their qualitative character and the non-permanency of resources. In this article we introduce to reaction systems several notions of central interest in biomodeling: mass conservation, invariants, steady states, stationary processes, elementary fluxes, and periodicity. We prove that the decision problems related to these properties span a number of complexity classes from P to NP- and coNP-complete to PSPACE-complete.
    Original languageUndefined/Unknown
    Pages (from-to)103–113
    JournalTheoretical Computer Science
    Volume623
    DOIs
    Publication statusPublished - 2016
    MoE publication typeA1 Journal article-refereed

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