Dynamics of Erythroid Progenitors and Erythroleukemia

N. Bessonov; F. Crauste; I. Demin; V. Volpert

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 3, page 210-232
  • ISSN: 0973-5348

Abstract

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The paper is devoted to mathematical modelling of erythropoiesis, production of red blood cells in the bone marrow. We discuss intra-cellular regulatory networks which determine self-renewal and differentiation of erythroid progenitors. In the case of excessive self-renewal, immature cells can fill the bone marrow resulting in the development of leukemia. We introduce a parameter characterizing the strength of mutation. Depending on its value, leukemia will or will not develop. The simplest model of treatment of acute myeloid leukemia with chemotherapy allows us to determine the conditions of successful treatment or of its failure. We show that insufficient treatment can worsen the situation. In some cases curing may not be possible even without resistance to treatment. Modelling presented in this work is based on ordinary differential equations, reaction-diffusion systems and individual based approach.

How to cite

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Bessonov, N., et al. "Dynamics of Erythroid Progenitors and Erythroleukemia." Mathematical Modelling of Natural Phenomena 4.3 (2009): 210-232. <http://eudml.org/doc/222310>.

@article{Bessonov2009,
abstract = { The paper is devoted to mathematical modelling of erythropoiesis, production of red blood cells in the bone marrow. We discuss intra-cellular regulatory networks which determine self-renewal and differentiation of erythroid progenitors. In the case of excessive self-renewal, immature cells can fill the bone marrow resulting in the development of leukemia. We introduce a parameter characterizing the strength of mutation. Depending on its value, leukemia will or will not develop. The simplest model of treatment of acute myeloid leukemia with chemotherapy allows us to determine the conditions of successful treatment or of its failure. We show that insufficient treatment can worsen the situation. In some cases curing may not be possible even without resistance to treatment. Modelling presented in this work is based on ordinary differential equations, reaction-diffusion systems and individual based approach. },
author = {Bessonov, N., Crauste, F., Demin, I., Volpert, V.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {erythropoiesis; leukemia; reaction-diffusion systems; cellular modelling; cellular modelling},
language = {eng},
month = {6},
number = {3},
pages = {210-232},
publisher = {EDP Sciences},
title = {Dynamics of Erythroid Progenitors and Erythroleukemia},
url = {http://eudml.org/doc/222310},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Bessonov, N.
AU - Crauste, F.
AU - Demin, I.
AU - Volpert, V.
TI - Dynamics of Erythroid Progenitors and Erythroleukemia
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/6//
PB - EDP Sciences
VL - 4
IS - 3
SP - 210
EP - 232
AB - The paper is devoted to mathematical modelling of erythropoiesis, production of red blood cells in the bone marrow. We discuss intra-cellular regulatory networks which determine self-renewal and differentiation of erythroid progenitors. In the case of excessive self-renewal, immature cells can fill the bone marrow resulting in the development of leukemia. We introduce a parameter characterizing the strength of mutation. Depending on its value, leukemia will or will not develop. The simplest model of treatment of acute myeloid leukemia with chemotherapy allows us to determine the conditions of successful treatment or of its failure. We show that insufficient treatment can worsen the situation. In some cases curing may not be possible even without resistance to treatment. Modelling presented in this work is based on ordinary differential equations, reaction-diffusion systems and individual based approach.
LA - eng
KW - erythropoiesis; leukemia; reaction-diffusion systems; cellular modelling; cellular modelling
UR - http://eudml.org/doc/222310
ER -

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