Bifurcations in a Model of the Platelet Regulatory System

  • Jacques Bélair
Part of the NATO ASI Series book series (NSSA, volume 138)

Abstract

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.

Keywords

Hopf Bifurcation Functional Differential Equation Idiopathic Thrombocytopenic Purpura Stem Cell Population Maturation Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Jacques Bélair
    • 1
  1. 1.Département de mathématiques et de statistique and Centre de recherches mathématiquesUniversité de MontréalMontréalCanada

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