%0 Journal Article
%T Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases
%A Mostafa Adimy
%A Fabien Crauste
%A Shigui Ruan
%J Quantitative Biology
%D 2009
%I arXiv
%R 10.1007/s11538-006-9121-9
%X Hematopoiesis 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.
%U http://arxiv.org/abs/0904.2501v1