| Issue |
Math. Model. Nat. Phenom.
Volume 1, Number 2, 2006
Hematopoiesis and blood diseases
|
|
|---|---|---|
| Page(s) | 81 - 103 | |
| DOI | https://doi.org/10.1051/mmnp:2008005 | |
| Published online | 15 May 2008 | |
Cell Modelling of Hematopoiesis
1
Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2
Université de Lyon, Université Lyon 1, CNRS UMR 5208 Institut Camille Jordan
F - 69200 Villeurbanne Cedex, France
Corresponding author: pujo@math.univ-lyon.fr
In this work, we introduce a new software created to study hematopoiesis at the cell population level with the individually based approach. It can be used as an interface between theoretical works on population dynamics and experimental observations. We show that this software can be useful to study some features of normal hematopoiesis as well as some blood diseases such as myelogenous leukemia. It is also possible to simulate cell communication and the formation of cell colonies in the bone marrow.
Mathematics Subject Classification: 92K05 / 92C37 / 92C17 / 92D25 / 90C15
Key words: McKendrick equation / renewal equation / demography cycles / periodic solutions / age-structure
© EDP Sciences, 2006
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