Math. Model. Nat. Phenom.
Volume 5, Number 3, 2010Mathematical modeling in the medical sciences
|Page(s)||15 - 27|
|Published online||28 April 2010|
Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics
Department of Mathematics, Elmhurst College, 60126 Elmhurst,
2 Department of Biochemistry, Rush University Medical Center, 60565 Naperville, USA
* Corresponding author. E-mail: firstname.lastname@example.org
Hematologic disorders such as the myelodysplastic syndromes (MDS) are discussed. The lingering controversies related to various diseases are highlighted. A simple biomathematical model of bone marrow - peripheral blood dynamics in the normal state is proposed and used to investigate cell behavior in normal hematopoiesis from a mathematical viewpoint. Analysis of the steady state and properties of the model are used to make postulations about the phenomenon of massive apoptosis in MDS. Simulations of the model show situations in which homeostatic equilibrium can be achieved and maintained. Consequently, it is postulated that hematopoietic growth factors may possess the capabilities of preventing oscillatory dynamics and enhancing faster evolution towards homeostatic equilibrium.
Mathematics Subject Classification: 92B05 / 35A24
Key words: hematologic disorders / mathematical model / normal hematopoiesis
© EDP Sciences, 2010
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