Approximate Exponential Algorithms to Solve the Chemical Master Equation

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dc.contributor.authorMooasvi, A.en
dc.contributor.authorSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2017-03-06T18:43:29Zen
dc.date.available2017-03-06T18:43:29Zen
dc.date.issued2015-05-04en
dc.description.abstractThis paper discusses new simulation algorithms for stochastic chemical kinetics that exploit the linearity of the chemical master equation and its matrix exponential exact solution. These algorithms make use of various approximations of the matrix exponential to evolve probability densities in time. A sampling of the approximate solutions of the chemical master equation is used to derive accelerated stochastic simulation algorithms. Numerical experiments compare the new methods with the established stochastic simulation algorithm and the tau-leaping method.en
dc.description.versionPublished versionen
dc.format.extent382 - 395 (14) page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.3846/13926292.2015.1048760en
dc.identifier.issn1392-6292en
dc.identifier.issue3en
dc.identifier.urihttp://hdl.handle.net/10919/75286en
dc.identifier.volume20en
dc.language.isoenen
dc.publisherVilnius Gediminas Tech Univen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000355600800006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathematicsen
dc.subjectstochastic simulation algorithmen
dc.subjectexact solutionen
dc.subjecttau-leapen
dc.subjectstochastic chemical kineticsen
dc.subjectchemical master equationen
dc.subjectACCELERATED STOCHASTIC SIMULATIONen
dc.subjectREACTING SYSTEMSen
dc.subjectSTABILITYen
dc.subjectSCHEMESen
dc.titleApproximate Exponential Algorithms to Solve the Chemical Master Equationen
dc.title.serialMathematical Modelling And Analysisen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/Computer Scienceen

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