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dc.contributor.authorDoumic, Marie
dc.contributor.authorRezaei, Human
dc.contributor.authorHoffmann, Marc
dc.contributor.authorWafaâ, Haffaf
dc.contributor.authorPrigent, Stephanie
dc.date.accessioned2014-03-17T13:04:29Z
dc.date.available2014-03-17T13:04:29Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12906
dc.language.isoenen
dc.subjectkernel density estimationen
dc.subjectstatistical testen
dc.subjectBecker-Döring systemen
dc.subjectPrP fiberen
dc.subjectprotein aggregationen
dc.subject.ddc519en
dc.titleSize distribution of amyloid fibrils. Mathematical models and experimental data.en
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUnité de recherche Virologie et Immunologie Moléculaires (VIM) Institut national de la recherche agronomique (INRA) : UR0892;France
dc.contributor.editoruniversityotherLaboratoire Jacques-Louis Lions (LJLL) http://www.ann.jussieu.fr;France
dc.contributor.editoruniversityotherBANG (INRIA Rocquencourt) http://www-rocq.inria.fr/bang/;France
dc.description.abstractenMore than twenty types of proteins can adopt misfolded conformations, which can coaggregate into amyloid fibrils, and are related to pathologies such as Alzheimer's disease. Numerous reactions have been proposed to take part to their aggregation kinetics, though the relative importance of each reaction in vivo is unclear. We have statistically analysed the shape of the size distribution of prion fibrils, with the peculiar example of truncated data due to the experimental technique (electron microscopy). A model of polymerization and depolymerization succeeds in explaining the exponential law, which can be followed by the experimental distribution. The effect of other reactions is exposed by reviewing mathematical models on length distribution: activation steps, with nucleation compared to initiation, disaggregation steps, with depolymerization compared to fragmentation, and additional processes such as filament coalescence or secondary nucleation.en
dc.relation.isversionofjnlnameInternational Journal of Pure and Applied Mathematics
dc.relation.isversionofjnlvol93
dc.relation.isversionofjnlissue6
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages845-878
dc.relation.isversionofdoihttp://dx.doi.org/10.12732/ijpam.v93i6.10
dc.identifier.urlsitehttp://hal.upmc.fr/hal-00958785en
dc.relation.isversionofjnlpublisherTaylor & Francisen
dc.relation.isversionofjnlpublisherAcademic Publications
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen


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