Model Decomposition and Stochastic Fragments

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PETROV, Tatjana, Arnab GANGULY, Heinz KOEPPL, 2012. Model Decomposition and Stochastic Fragments. In: Electronic Notes in Theoretical Computer Science. 284, pp. 105-124. ISSN 1571-0661. Available under: doi: 10.1016/j.entcs.2012.05.018

@article{Petrov2012-06Model-42135, title={Model Decomposition and Stochastic Fragments}, year={2012}, doi={10.1016/j.entcs.2012.05.018}, volume={284}, issn={1571-0661}, journal={Electronic Notes in Theoretical Computer Science}, pages={105--124}, author={Petrov, Tatjana and Ganguly, Arnab and Koeppl, Heinz} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:creator>Ganguly, Arnab</dc:creator> <dcterms:abstract xml:lang="eng">In this paper, we discuss a method for decomposition, abstraction and reconstruction of the stochastic semantics of rule-based systems with conserved number of agents. Abstraction is induced by counting fragments instead of the species, which are the standard entities of information in molecular signaling. The rule-set can be decomposed to smaller rule-sets, so that the fragment-based dynamics of the whole rule-set is exactly a composition of species-based dynamics of smaller rule-sets. The reconstruction of the transient species-based dynamics is possible for certain initial distributions. We show that, if all the rules in a rule set are reversible, the reconstruction of the species-based dynamics is always possible at the stationary distribution. We use a case study of colloidal aggregation to demonstrate that the method can reduce the state space exponentially with respect to the standard, species-based description.</dcterms:abstract> <dspace:hasBitstream rdf:resource=""/> <dc:contributor>Ganguly, Arnab</dc:contributor> <bibo:uri rdf:resource=""/> <dcterms:issued>2012-06</dcterms:issued> <dc:creator>Koeppl, Heinz</dc:creator> <dcterms:isPartOf rdf:resource=""/> <dc:contributor>Petrov, Tatjana</dc:contributor> <dc:date rdf:datatype="">2018-04-23T11:42:11Z</dc:date> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:contributor>Koeppl, Heinz</dc:contributor> <dcterms:available rdf:datatype="">2018-04-23T11:42:11Z</dcterms:available> <dc:rights>Attribution-NonCommercial-NoDerivs 3.0 Unported</dc:rights> <dcterms:title>Model Decomposition and Stochastic Fragments</dcterms:title> <dc:creator>Petrov, Tatjana</dc:creator> <dspace:isPartOfCollection rdf:resource=""/> <dc:language>eng</dc:language> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:rights rdf:resource=""/> <dcterms:hasPart rdf:resource=""/> </rdf:Description> </rdf:RDF>

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