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hematologic disorders

Mathematical Modelling of Natural Phenomena (1)

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Hematologic Disorders and Bone Marrow–Peripheral BloodDynamics
E. Afenya, S. Mundle
Journal:

Mathematical Modelling of Natural Phenomena / Volume 5 / Issue 3 / 2010

Published online by Cambridge University Press:

28 April 2010, pp. 15-27

Print publication:

2010
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Hematologic disorders such as the myelodysplastic syndromes (MDS) are discussed. Thelingering controversies related to various diseases are highlighted. A simplebiomathematical model of bone marrow - peripheral blood dynamics in the normal state isproposed and used to investigate cell behavior in normal hematopoiesis from a mathematicalviewpoint. Analysis of the steady state and properties of the model are used to makepostulations about the phenomenon of massive apoptosis in MDS. Simulations of the modelshow situations in which homeostatic equilibrium can be achieved and maintained.Consequently, it is postulated that hematopoietic growth factors may possess thecapabilities of preventing oscillatory dynamics and enhancing faster evolution towardshomeostatic equilibrium.