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Hematologic Disorders and Bone Marrow–Peripheral BloodDynamics

Published online by Cambridge University Press:  28 April 2010

E. Afenya  and
S. Mundle
E. Afenya
Affiliation:
Department of Mathematics, Elmhurst College, 60126 Elmhurst, USA
S. Mundle*
Affiliation:
Department of Biochemistry, Rush University Medical Center, 60565 Naperville, USA
*
* Corresponding author. E-mail: evansa@elmhurst.edu
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Abstract

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.

Keywords

hematologic disordersmathematical modelnormal hematopoiesis
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 3: Mathematical modeling in the medical sciences , 2010 , pp. 15 - 27
Copyright
© EDP Sciences, 2010

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