Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics

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...

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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 91; no. 2; pp. 198 - 208
Main Authors Adimy, M., Angulo, O., López-Marcos, J. C., López-Marcos, M. A.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.02.2014
Taylor & Francis Ltd
Subjects
age-structured model
Approximation
asymptotic analysis
Asymptotic properties
Biology
Computer simulation
Dynamics
hematopoietic stem cell
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
numerical integration
population dynamics
Simulation
Stem cells
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2013.778400