Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/24010
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dc.contributor.authorFarkas, Jozsef Zoltanen_UK
dc.contributor.authorWebb, Glenn Fen_UK
dc.date.accessioned2017-04-19T23:38:10Z-
dc.date.available2017-04-19T23:38:10Z-
dc.date.issued2017-03en_UK
dc.identifier.urihttp://hdl.handle.net/1893/24010-
dc.description.abstractWe investigate a partial differential equation model of a cancer cell population, which is structured with respect to age and telomere length of cells. We assume a continuous telomere length structure, which is applicable to the clonal evolution model of cancer cell growth. This model has a non-standard non-local boundary condition. We establish global existence of solutions and study their qualitative behaviour. We study the effect of telomere restoration on cancer cell dynamics. Our results indicate that without telomere restoration, the cell population extinguishes. With telomere restoration, exponential growth occurs in the linear model. We further characterise the specific growth behaviour of the cell population for special cases. We also study the effects of crowding induced mortality on the qualitative behaviour, and the existence and stability of steady states of a nonlinear model incorporating crowding effect. We present examples and extensive numerical simulations, which illustrate the rich dynamic behaviour of the linear and nonlinear models.en_UK
dc.language.isoenen_UK
dc.publisherSpringeren_UK
dc.relationFarkas JZ & Webb GF (2017) Mathematical Analysis of a Clonal Evolution Model of Tumour Cell Proliferation. Journal of Evolution Equations, 17 (1), pp. 275-308. https://doi.org/10.1007/s00028-016-0369-8en_UK
dc.rightsThis item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. Publisher policy allows this work to be made available in this repository; The final publication is available at Springer via https://doi.org/10.1007/s00028-016-0369-8en_UK
dc.subjectCancer modellingen_UK
dc.subjectstructured populationsen_UK
dc.subjectsemigroups of operatorsen_UK
dc.subjectasymptotic behaviouren_UK
dc.subjecttelomere self-renewalen_UK
dc.titleMathematical Analysis of a Clonal Evolution Model of Tumour Cell Proliferationen_UK
dc.typeJournal Articleen_UK
dc.rights.embargodate2017-10-23en_UK
dc.rights.embargoreason[telomere-structured-6July2016-JEE.pdf] Publisher requires embargo of 12 months after formal publication.en_UK
dc.identifier.doi10.1007/s00028-016-0369-8en_UK
dc.citation.jtitleJournal of Evolution Equationsen_UK
dc.citation.issn1424-3202en_UK
dc.citation.issn1424-3199en_UK
dc.citation.volume17en_UK
dc.citation.issue1en_UK
dc.citation.spage275en_UK
dc.citation.epage308en_UK
dc.citation.publicationstatusPublisheden_UK
dc.citation.peerreviewedRefereeden_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.contributor.funderRoyal Societyen_UK
dc.author.emailjozsef.farkas@stir.ac.uken_UK
dc.citation.date22/10/2016en_UK
dc.contributor.affiliationMathematicsen_UK
dc.contributor.affiliationVanderbilt Universityen_UK
dc.identifier.isiWOS:000398074400010en_UK
dc.identifier.scopusid2-s2.0-84992079452en_UK
dc.identifier.wtid553576en_UK
dc.contributor.orcid0000-0002-8794-4834en_UK
dc.date.accepted2016-07-08en_UK
dcterms.dateAccepted2016-07-08en_UK
dc.date.filedepositdate2016-08-12en_UK
dc.relation.funderprojectPartial differential equation modelling of structured cell populationsen_UK
dc.relation.funderrefIE140487en_UK
rioxxterms.apcnot requireden_UK
rioxxterms.typeJournal Article/Reviewen_UK
rioxxterms.versionAMen_UK
local.rioxx.authorFarkas, Jozsef Zoltan|0000-0002-8794-4834en_UK
local.rioxx.authorWebb, Glenn F|en_UK
local.rioxx.projectIE140487|Royal Society|http://dx.doi.org/10.13039/501100000288en_UK
local.rioxx.freetoreaddate2017-10-23en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/under-embargo-all-rights-reserved||2017-10-22en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/all-rights-reserved|2017-10-23|en_UK
local.rioxx.filenametelomere-structured-6July2016-JEE.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source1424-3199en_UK
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