Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics

Mostafa Adimy 1, 2, * Oscar Angulo 3 Juan Carlos López-Marcos 3 Miguel Angel López-Marcos 3
* Auteur correspondant
1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGMC - Centre de génétique moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne], UCBL - Université Claude Bernard Lyon 1 : EA
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.
Type de document :
Article dans une revue
International Journal of Computer Mathematics, Taylor & Francis, 2014, 91 (2), pp.11. 〈10.1080/00207160.2013.778400〉
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https://hal.inria.fr/hal-00767161
Contributeur : Mostafa Adimy <>
Soumis le : mercredi 19 décembre 2012 - 15:48:11
Dernière modification le : mardi 16 janvier 2018 - 16:26:53

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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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