Fluctuation analysis for particle-based stochastic reaction-diffusion models

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dc.contributor.authorHeldman, Maxen
dc.contributor.authorSpilopoulos, Konstantinosen
dc.contributor.authorIsaacson, Samuelen
dc.contributor.authorMa, Jingweien
dc.date.accessioned2024-02-13T15:48:22Zen
dc.date.available2024-02-13T15:48:22Zen
dc.date.issued2024-01-17en
dc.description.abstractRecent works have derived and proven the large-population mean-field limit for several classes of particle-based stochastic reaction-diffusion (PBSRD) models. These limits correspond to systems of partial integral-differential equations (PIDEs) that generalize standard mass-action reaction-diffusion PDE models. In this work we derive and prove the next order fluctuation corrections to such limits, which we show satisfy systems of stochastic PIDEs with Gaussian noise. Numerical examples are presented to illustrate how including the fluctuation corrections can enable the accurate estimation of higher order statistics of the underlying PBSRD model.en
dc.description.versionAccepted versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.orcidHeldman, Max [0000-0002-3602-2143]en
dc.identifier.urihttps://hdl.handle.net/10919/117981en
dc.identifier.volume167en
dc.language.isoenen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleFluctuation analysis for particle-based stochastic reaction-diffusion modelsen
dc.title.serialStochastic Processes and their Applicationsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dcterms.dateAccepted2023-10-12en
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/Mathematicsen
pubs.organisational-group/Virginia Tech/Post-docsen

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