A Mathematical Characterization of the Gel Point in Sol-Gel Transition

dc.contributor.authorBilge, Ayşe Hümeyra
dc.contributor.authorPekcan, Önder
dc.date.accessioned2021-01-14T18:55:51Z
dc.date.available2021-01-14T18:55:51Z
dc.date.issued2015
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Biyoinformatik ve Genetik Bölümüen_US
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.description.abstractWe model the sol-gel transition in terms of Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models and compare with experimental results. We show, numerically, that the "gel point" described as the onset of the gelation phenomena and measured experimentally, corresponds to an accumulation point of the extreme values of the derivatives of the gelation curve. We define the "critical point of a sigmoidal curve" as the limit of the points where the derivatives reach their extreme values, provided that this limit exists.en_US
dc.identifier.citation3
dc.identifier.doi10.1088/1742-6596/574/1/012005en_US
dc.identifier.issn1742-6588en_US
dc.identifier.issn1742-6588
dc.identifier.scopus2-s2.0-84921696296en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12469/3727
dc.identifier.urihttps://doi.org/10.1088/1742-6596/574/1/012005
dc.identifier.volume574en_US
dc.identifier.wosWOS:000352595600005en_US
dc.institutionauthorBilge, Ayşe Hümeyraen_US
dc.institutionauthorBilge, Ayşe Hümeyra
dc.institutionauthorPekcan, Mehmet Önder
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.journal3rd International Conference on Mathematical Modeling in Physical Sciences (Ic-Msquare 2014)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMolecular-Size Distributionen_US
dc.subjectPolymersen_US
dc.subjectGelationen_US
dc.titleA Mathematical Characterization of the Gel Point in Sol-Gel Transitionen_US
dc.typeConference Objecten_US
dspace.entity.typePublication
relation.isAuthorOfPublication1b50a6b2-7290-44da-b8d5-f048fea8b315
relation.isAuthorOfPublicatione5459272-ce6e-44cf-a186-293850946f24
relation.isAuthorOfPublication.latestForDiscovery1b50a6b2-7290-44da-b8d5-f048fea8b315

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