Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases

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dc.creatorAdimy, Mostafa
dc.creatorCrauste, Fabien
dc.creatorRuan, Shigui
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:05:03Z
dc.date.available2026-07-07T13:05:03Z
dc.descriptionHematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth factors. A mathematical approach of this process is proposed to carry out explanation on some blood diseases, characterized by oscillations in circulating blood cells. A system of three differential equations with delay, corresponding to the cell cycle duration, is analyzed. The existence of a Hopf bifurcation for a positive steady-state is obtained through the study of an exponential polynomial characteristic equation with delay-dependent coefficients. Numerical simulations show that long period oscillations can be obtained in this model, corresponding to a destabilization of the feedback regulation between blood cells and growth factors. This stresses the localization of periodic hematological diseases in the feedback loop.
dc.identifierhttps://arxiv.org/abs/0904.2501
dc.identifierhttp://arxiv.org/abs/0904.2501
dc.identifierBulletin of Mathematical Biology 68, 8 (2006) 2321-2351
dc.identifierdoi:10.1007/s11538-006-9121-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227374
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subjectCell Behavior
dc.subjectTissues and Organs
dc.titleModelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases
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