کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1137524 1489181 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulations
چکیده انگلیسی

We consider a nonlinear mathematical model of hematopoietic stem cell dynamics, in which proliferation and apoptosis are controlled by growth factor concentrations. Cell proliferation is positively regulated, while apoptosis is negatively regulated. The resulting age-structured model is reduced to a system of three differential equations, with three independent delays, and existence of steady states is investigated. The stability of the trivial steady state, describing cells dying out with a saturation of growth factor concentrations is proven to be asymptotically stable when it is the only equilibrium. The stability analysis of the unique positive steady state allows the determination of a stability area, and shows that instability may occur through a Hopf bifurcation, mainly as a destabilization of the proliferative capacity control, when cell cycle durations are very short. Numerical simulations are carried out and result in a stability diagram that stresses the lead role of the introduction rate compared to the apoptosis rate in the system stability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 49, Issues 11–12, June 2009, Pages 2128–2137
نویسندگان
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