Using Von Mises-fisher Distribution for Polymer Conformation Analysis in Multi-scale Framework

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dc.contributor.authorAbzhanov, Aidos
dc.contributor.authorKallemov, Bakytzhan
dc.creatorAidos, Abzhanov
dc.date.accessioned2017-12-14T04:20:45Z
dc.date.available2017-12-14T04:20:45Z
dc.date.issued2013-01-01
dc.description.abstractAbstract In this study we consider the statistical representation of polymer conformations, which is very important when modeling rheology at macroscopic scales. It is impossible to track all relevant microscopic variables for each polymer in a polymer-laden solution due to the huge number degrees of freedom associated with such fluids. We applied this approach to one of the most descriptive kinetic models of polymer, Kramers bead-rod model, where the probability density function models the angle of each rod with respect to the fixed coordinate axes. Towards this goal we apply mixture of von Mises-Fisher distribution for modeling a polymer conformation. The Expectation-Maximization based clustering algorithms are used to estimate the conformation given the ensemble of polymers. Both distribution sampling and parameters estimation have been implemented in parallel using CPU and GPU based platforms.
dc.identifierDOI:10.1016/j.proeng.2013.07.102
dc.identifier.citationAidos Abzhanov, Bakytzhan Kallemov, Using Von Mises-fisher Distribution for Polymer Conformation Analysis in Multi-scale Framework, In Procedia Engineering, Volume 61, 2013, Pages 111-116
dc.identifier.issn18777058
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1877705813011685
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/2883
dc.relation.ispartofProcedia Engineering
dc.rights.licenseCopyright © 2013 The Authors. Published by Elsevier Ltd.
dc.subjectvon Mises-Fisher
dc.subjectmulti-scale model
dc.subjectpolymer conformation
dc.subjectGPGPU
dc.titleUsing Von Mises-fisher Distribution for Polymer Conformation Analysis in Multi-scale Framework
dc.typeArticle
dcterms.publisherProcedia Engineering
elsevier.aggregationtypeJournal
elsevier.coverdate2013-01-01
elsevier.coverdisplaydate2013
elsevier.endingpage116
elsevier.identifier.doi10.1016/j.proeng.2013.07.102
elsevier.identifier.eid1-s2.0-S1877705813011685
elsevier.identifier.piiS1877-7058(13)01168-5
elsevier.identifier.scopusid84891686341
elsevier.issue.name25th International Conference on Parallel Computational Fluid Dynamics
elsevier.openaccess1
elsevier.openaccessarticletrue
elsevier.openaccessuserlicensehttp://creativecommons.org/licenses/by-nc-nd/3.0/
elsevier.openarchivearticlefalse
elsevier.startingpage111
elsevier.teaserIn this study we consider the statistical representation of polymer conformations, which is very important when modeling rheology at macroscopic scales. It is impossible to track all relevant microscopic...
elsevier.volume61

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