Bifurcations in a Model of the Platelet Regulatory System
Modelling of the control mechanism for the regulation of platelet production leads to a functional differential equation with two time delays, one accounting for the senescence time of platelets, and the other one due to the maturation time of megakaryocytes. Local stability analysis and numerical simulations are performed to evaluate the possible behaviours of the solutions as clinically relevant, physiologically realistic parameters are varied. In particular, possible mechanisms for the onset of cyclic thrombocytopenia and idiopathic thrombocytopenic purpura are discussed.
KeywordsHopf Bifurcation Functional Differential Equation Idiopathic Thrombocytopenic Purpura Stem Cell Population Maturation Time
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