Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics

E. Afenya; S. Mundle

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 5, Issue: 3, page 15-27
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Afenya, E., and Mundle, S.. "Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics." Mathematical Modelling of Natural Phenomena 5.3 (2010): 15-27. <http://eudml.org/doc/197677>.

@article{Afenya2010,
abstract = {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.},
author = {Afenya, E., Mundle, S.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {hematologic disorders; mathematical model; normal hematopoiesis},
language = {eng},
month = {4},
number = {3},
pages = {15-27},
publisher = {EDP Sciences},
title = {Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics},
url = {http://eudml.org/doc/197677},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Afenya, E.
AU - Mundle, S.
TI - Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/4//
PB - EDP Sciences
VL - 5
IS - 3
SP - 15
EP - 27
AB - 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.
LA - eng
KW - hematologic disorders; mathematical model; normal hematopoiesis
UR - http://eudml.org/doc/197677
ER -

References

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