|
|||||
|
|
Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics |
|
| Authors: | M. Adimy J. C. López-Marcos M. A. López-Marcos |
| Affiliation: | 1. INRIA Team Dracula, CNRS UMR 5208, Institut Camille Jordan, Université Lyon 1, 43 blvd. du 11 novembre 1918, F-69622 Villeurbanne-Cedex, France;2. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Pso Belén 7, 47011 Valladolid, Spain |
| Abstract: | We deeply researched into the asymptotic behaviour of a numerical method adapted for the solution of mathematical model of hematopoiesis which describes the dynamics of a stem cell population. We investigated the stationary solutions of the original model by their numerical approximation: we proved the existence of a numerical stationary solution that provides a good approximation to the nontrivial equilibrium solution of the problem. Also, we presented a numerical simulation which confirms this behaviour. |
| Keywords: | hematopoietic stem cell population dynamics age-structured model asymptotic analysis numerical integration |