Stochastic Fragments : a Framework for the Exact Reduction of the Stochastic Semantics of Rule-Based Models

Feret, Jérôme; Koeppl, Heinz; Petrov, Tatjana

Stochastic Fragments : a Framework for the Exact Reduction of the Stochastic Semantics of Rule-Based Models

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2013

Autor:innen

Feret, Jérôme

Koeppl, Heinz

Petrov, Tatjana

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

International Journal of Software and Informatics : IJSI. 2013, 7(4), pp. 527-604. eISSN 1673-7288

Zusammenfassung

In this paper, we propose an abstract interpretation-based framework for reducing the state space of stochastic semantics for protein-protein interaction networks. Our approach consists in quotienting the state space of networks. Yet interestingly, we do not apply the widely-used strong lumpability criterion which imposes that two equivalent states behave similarly with respect to the quotient, but a weak version of it. More precisely, our framework detects and proves some invariants about the dynamics of the system: indeed the quotient of the state space is such that the probability of being in a given state knowing that this state is in a given equivalence class, is an invariant of the semantics. Then we introduce an individual-based stochastic semantics (where each agent is identifed by a unique identifier) for the programs of a rule-based language (namely Kappa) and we use our abstraction framework for deriving a sound population-based semantics and a sound fragments-based semantics, which give the distribution of the traces respectively for the number of instances of molecular species and for the number of instances of partially defined molecular species. These partially defined species are chosen automatically thanks to a dependency analysis which is also described in the paper.

Fachgebiet (DDC)

004 Informatik

Schlagwörter

rule-based modeling; continuous-time Markov chains; abstract interpretation; hierarchy of semantics; model reduction

Zitieren

ISO 690

FERET, Jérôme, Heinz KOEPPL, Tatjana PETROV, 2013. Stochastic Fragments : a Framework for the Exact Reduction of the Stochastic Semantics of Rule-Based Models. In: International Journal of Software and Informatics : IJSI. 2013, 7(4), pp. 527-604. eISSN 1673-7288

BibTex

@article{Feret2013Stoch-42181,
  year={2013},
  title={Stochastic Fragments : a Framework for the Exact Reduction of the Stochastic Semantics of Rule-Based Models},
  url={http://ijsi.cnjournals.com/ch/reader/view_abstract.aspx?file_no=i173&flag=1},
  number={4},
  volume={7},
  journal={International Journal of Software and Informatics : IJSI},
  pages={527--604},
  author={Feret, Jérôme and Koeppl, Heinz and Petrov, Tatjana}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/42181">
    <dcterms:abstract xml:lang="eng">In this paper, we propose an abstract interpretation-based framework for reducing the state space of stochastic semantics for protein-protein interaction networks. Our approach consists in quotienting the state space of networks. Yet interestingly, we do not apply the widely-used strong lumpability criterion which imposes that two equivalent states behave similarly with respect to the quotient, but a weak version of it. More precisely, our framework detects and proves some invariants about the dynamics of the system: indeed the quotient of the state space is such that the probability of being in a given state knowing that this state is in a given equivalence class, is an invariant of the semantics. Then we introduce an individual-based stochastic semantics (where each agent is identifed by a unique identifier) for the programs of a rule-based language (namely Kappa) and we use our abstraction framework for deriving a sound population-based semantics and a sound fragments-based semantics, which give the distribution of the traces respectively for the number of instances of molecular species and for the number of instances of partially defined molecular species. These partially defined species are chosen automatically thanks to a dependency analysis which is also described in the paper.</dcterms:abstract>
    <dc:creator>Koeppl, Heinz</dc:creator>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-04-26T08:38:33Z</dcterms:available>
    <dc:language>eng</dc:language>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/42181"/>
    <dc:contributor>Petrov, Tatjana</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dcterms:title>Stochastic Fragments : a Framework for the Exact Reduction of the Stochastic Semantics of Rule-Based Models</dcterms:title>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-04-26T08:38:33Z</dc:date>
    <dcterms:issued>2013</dcterms:issued>
    <dc:contributor>Koeppl, Heinz</dc:contributor>
    <dc:creator>Feret, Jérôme</dc:creator>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:creator>Petrov, Tatjana</dc:creator>
    <dc:contributor>Feret, Jérôme</dc:contributor>
  </rdf:Description>
</rdf:RDF>

URL der Originalveröffentl.

http://ijsi.cnjournals.com/ch/reader/view_abstract.aspx?file_no=i173&flag=1

Prüfdatum der URL

2018-04-26

Universitätsbibliographie

Nein