Solving stochastic chemical kinetics by Metropolis-Hastings sampling

dc.contributor.authorMooasvi, A.en
dc.contributor.authorTranquilli, Paulen
dc.contributor.authorSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2017-03-06T18:44:49Zen
dc.date.available2017-03-06T18:44:49Zen
dc.date.issued2016-05-01en
dc.description.abstractThis study considers using Metropolis-Hastings algorithm for stochastic simulation of chemical reactions. The proposed method uses SSA (Stochastic Simulation Algorithm) distribution which is a standard method for solving well-stirred chemically reacting systems as a desired distribution. A new numerical solvers based on exponential form of exact and approximate solutions of CME (Chemical Master Equation) is employed for obtaining target and proposal distributions in Metropolis-Hastings algorithm to accelerate the accuracy of the tau-leap method. Samples generated by this technique have the same distribution as SSA and the histogram of samples show it’s convergence to SSA.en
dc.description.versionPublished versionen
dc.format.extent322 - 335 (14) page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.11948/2016025en
dc.identifier.issn2156-907Xen
dc.identifier.issue2en
dc.identifier.urihttp://hdl.handle.net/10919/75289en
dc.identifier.volume6en
dc.language.isoenen
dc.publisherWilmington Scientific Publisher, Llcen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000385782100005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathematics, Applieden
dc.subjectMathematicsen
dc.subjectMetropolis-Hastingsen
dc.subjectSSAen
dc.subjectCMEen
dc.subjecttau-leapen
dc.subjectREACTING SYSTEMSen
dc.subjectSIMULATIONen
dc.subjectALGORITHMSen
dc.titleSolving stochastic chemical kinetics by Metropolis-Hastings samplingen
dc.title.serialJournal of Applied Analysis And Computationen
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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