Show simple item record

dc.contributor.authorPortillo de la Fuente, Ana María 
dc.contributor.authorVarela, E.
dc.contributor.authorGarcía Velasco, J.A.
dc.date.accessioned2023-03-02T12:57:41Z
dc.date.available2023-03-02T12:57:41Z
dc.date.issued2023
dc.identifier.citationMathematical Biosciences Volume 358, 2023, 108985
dc.identifier.issn0025-5564es
dc.identifier.urihttps://uvadoc.uva.es/handle/10324/58819
dc.descriptionProducción Científicaes
dc.description.abstractA discrete model is proposed for the temporal evolution of a population of cells sorted according to their telomeric length. This model assumes that, during cell division, the distribution of the genetic material to daughter cells is asymmetric, i.e. chromosomes of one daughter cell have the same telomere length as the mother, while in the other daughter cell telomeres are shorter. Telomerase activity and cell death are also taken into account. The continuous model is derived from the discrete model by introducing the generational age as a continuous variable in , being the Hayflick limit, i.e. the number of times that a cell can divide before reaching the senescent state. A partial differential equation with boundary conditions is obtained. The solution to this equation depends on the initial telomere length distribution. The initial and boundary value problem is solved exactly when the initial distribution is of exponential type. For other types of initial distributions, a numerical solution is proposed. The model is applied to the human follicular growth from preantral to preovulatory follicle as a case study and the aging rate is studied as a function of telomerase activity, the initial distribution and the Hayflick limit. Young, middle and old cell-aged initial normal distributions are considered. In all cases, when telomerase activity decreases, the population ages and the smaller the value, the higher the aging rate becomes. However, the influence of these two parameters is different depending on the initial distribution. In conclusion, the worst-case scenario corresponds to an aged initial telomere distribution.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMatemáticases
dc.subject.classificationTelomerees
dc.subject.classificationFolliclees
dc.subject.classificationAginges
dc.subject.classificationPartial differential equationes
dc.subject.classificationTelómeroes
dc.subject.classificationFolículoes
dc.subject.classificationEnvejecimientoes
dc.subject.classificationEcuación diferencial parciales
dc.titleInfluence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum modeles
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2023 The Authorses
dc.identifier.doi10.1016/j.mbs.2023.108985es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0025556423000263?via%3Dihubes
dc.identifier.publicationfirstpage108985es
dc.identifier.publicationtitleMathematical Bioscienceses
dc.peerreviewedSIes
dc.description.projectMinisterio de Ciencia e Innovación (PGC2018-101443-B-I00)es
dc.description.projectCDTI and FEDER (IDI-20190160 and IDI-20181240)es
dc.description.projectInstituto de Salud Carlos III (Spanish Government) (PI20/00252)es
dc.description.projectFINOX through FORWARD 2018-6 to E.V. and J.A.G.V. and by IVIRMA (2004-FIVI-041-MV; 1711-FIVI-111-MV; 1707-FIVI-084-MV; 1711-FIVI-112-MV; 2207-MAD-093-MV).es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones
dc.subject.unesco12 Matemáticases


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record