Dynamics of erythroid progenitors and erythroleukemia

Nikolai Bessonov (1, 2) , Fabien Crauste (2, 3) , Ivan Demin (2) , Vitaly Volpert (2)

1 IPME - Institute of Mechanical Engineering Problems [St. Petersburg]
2 ICJ - Institut Camille Jordan
3 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis

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.

Mots clés: cellular modelling; reaction-diffusion systems; erythropoiesis; leukemia

Domaines: Equations aux dérivées partielles [math.AP]; Cancer; Biologie cellulaire

Nikolai Bessonov, Fabien Crauste, Ivan Demin, Vitaly Volpert. Dynamics of erythroid progenitors and erythroleukemia. Mathematical Modelling of Natural Phenomena, 2009, Cancer modelling (Part 2), 4 (3), pp.210-232. ⟨10.1051/mmnp/20094309⟩. ⟨hal-00542660⟩