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Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics

Mostafa Adimy 1, 2, 3, * Oscar Angulo 4 Juan Carlos López-Marcos 4 Miguel Angel López-Marcos 4 
* Corresponding author
1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne]
3 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
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 con rms this behaviour.
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Submitted on : Wednesday, December 19, 2012 - 3:48:11 PM
Last modification on : Monday, May 16, 2022 - 3:12:02 PM

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Mostafa Adimy, Oscar Angulo, Juan Carlos López-Marcos, Miguel Angel López-Marcos. Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics. International Journal of Computer Mathematics, Taylor & Francis, 2014, 91 (2), pp.11. ⟨10.1080/00207160.2013.778400⟩. ⟨hal-00767161⟩



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