Periodic Oscillations of Blood Cell Populations in Chronic Myelogenous Leukemia

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dc.creatorMackey, Michael C.
dc.creatorOu, Chunhua
dc.creatorPujo-Menjouet, Laurent
dc.creatorWu, Jianhong
dc.date2004-09-01
dc.date.accessioned2026-07-07T05:58:37Z
dc.date.available2026-07-07T05:58:37Z
dc.descriptionWe develop some techniques to prove analytically the existence and stability of long period oscillations of stem cell populations in the case of periodic chronic myelogenous leukemia. Such a periodic oscillation $p_\infty $ can be analytically constructed when the hill coefficient involved in the nonlinear feedback is infinite, and we show it is possible to obtain a contractive returning map (for the semiflow defined by the modeling functional differential equation) in a closed and convex cone containing $p_\infty $ when the hill coefficient is large, and the fixed point of such a contractive map gives the long period oscillation previously observed both numerically and experimentally.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/q-bio/0409002
dc.identifierhttp://arxiv.org/abs/q-bio/0409002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88422
dc.subjectTissues and Organs
dc.titlePeriodic Oscillations of Blood Cell Populations in Chronic Myelogenous Leukemia
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