Geodesic
Application of Hybrid Models to Blood Cell Production in the Bone Marrow
N. Bessonov1, 2 ; F. Crauste2, 3 ; S. Fischer2, 3 ; P. Kurbatova2, 3 ; V. Volpert2, 3
1 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2 Institut Camille Jordan, Université Lyon 1, UMR 5208 CNRS 69622 Villeurbanne, France
3 INRIA Rhône-Alpes, Team-project “Dracula”
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 7 Supplement, pp. 2-12.

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A hybrid model of red blood cell production, where cells are considered as discrete objects while intra-cellular proteins and extra-cellular biochemical substances are described with continuous models, is proposed. Spatial organization and regulation of red blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is simulated in two dimensions, and the influence on the output of the model of some parameters involved in cell fate (differentiation, self-renewal, and death by apoptosis) is studied.
DOI : 10.1051/mmnp/20116701

N. Bessonov 1, 2 ; F. Crauste 2, 3 ; S. Fischer 2, 3 ; P. Kurbatova 2, 3 ; V. Volpert 2, 3

1 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2 Institut Camille Jordan, Université Lyon 1, UMR 5208 CNRS 69622 Villeurbanne, France
3 INRIA Rhône-Alpes, Team-project “Dracula” 
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N. Bessonov; F. Crauste; S. Fischer; P. Kurbatova; V. Volpert. Application of Hybrid Models to Blood Cell Production in the Bone Marrow. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 7 Supplement, pp. 2-12. doi : 10.1051/mmnp/20116701. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116701/

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