A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage60en_US
dc.citation.issueNumber14en_US
dc.citation.spage55en_US
dc.citation.volumeNumber10en_US
dc.contributor.authorAvila, J. L.en_US
dc.contributor.authorBonnet, C.en_US
dc.contributor.authorClairambault, J.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorNiculescu, S. I.en_US
dc.contributor.authorMerhi, F.en_US
dc.contributor.authorTang, R.en_US
dc.contributor.authorMarie, J. P.en_US
dc.coverage.spatialNortheastern University, Boston, USAen_US
dc.date.accessioned2016-02-08T12:12:52Z
dc.date.available2016-02-08T12:12:52Z
dc.date.issued2012en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionConference name: Proceedings of the 10-th IFAC Workshop on Time Delay Systems The International Federation of Automatic Controlen_US
dc.descriptionDate of Conference: 22-24 June 2012en_US
dc.description.abstractIn this paper we propose a refined model for the dynamical cell behavior in Acute Myeloid Leukemia (AML) compared to (Özbay et al, 2012) and (Adimy et al, 2008).We separate the cell growth phase into a sequence of several sub-compartments. Then, with the help of the method of characteristics, we show that the overall dynamical system of equations can be reduced to two coupled nonlinear equations with four internal sub-systems involving distributed delays. © 2012 IFAC.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T12:12:52Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2012en
dc.identifier.doi10.3182/20120622-3-US-4021.00047en_US
dc.identifier.issn1474-6670
dc.identifier.urihttp://hdl.handle.net/11693/28164
dc.language.isoEnglishen_US
dc.relation.isversionofhttps://doi.org/10.3182/20120622-3-US-4021.00047en_US
dc.source.titleInternational Federation of Automatic Control IFAC Proceedings Volumesen_US
dc.subjectDelayen_US
dc.subjectMedical applicationsen_US
dc.subjectModellingen_US
dc.subjectPDEen_US
dc.subjectZmodelsen_US
dc.subjectAcute myeloid leukemiaen_US
dc.subjectCell behaviorsen_US
dc.subjectCell dynamicsen_US
dc.subjectCoupled nonlinear equationsen_US
dc.subjectDelayen_US
dc.subjectDistributed delaysen_US
dc.subjectGrowth phaseen_US
dc.subjectMethod of characteristicsen_US
dc.subjectPDEen_US
dc.subjectRefined modelen_US
dc.subjectSub-systemsen_US
dc.subjectSystem of equationsen_US
dc.subjectZmodelsen_US
dc.subjectDynamical systemsen_US
dc.subjectMedical applicationsen_US
dc.subjectModelsen_US
dc.subjectTime delayen_US
dc.subjectDiseasesen_US
dc.titleA new model of cell dynamics in Acute Myeloid Leukemia involving distributed delaysen_US
dc.typeConference Paperen_US

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