Author:
Duchesne Ronan,Guillemin Anissa,Crauste Fabien,Gandrillon Olivier
Abstract
AbstractThe in vivo erythropoiesis, which is the generation of mature red blood cells in the bone marrow of whole organisms, has been described by a variety of mathematical models in the past decades. However, the in vitro erythropoiesis, which produces red blood cells in cultures, has received much less attention from the modelling community. In this paper, we propose the first mathematical model of in vitro erythropoiesis. We start by formulating different models and select the best one at fitting experimental data of in vitro erythropoietic differentiation. It is based on a set of linear ODE, describing 3 hypothetical populations of cells at different stages of differentiation. We then compute confidence intervals for all of its parameters estimates, and conclude that our model is fully identifiable. Finally, we use this model to compute the effect of a chemical drug called Rapamycin, which affects all states of differentiation in the culture, and relate these effects to specific parameter variations. We provide the first model for the kinetics of in vitro cellular differentiation which is proven to be identifiable. It will serve as a basis for a model which will better account for the variability which is inherent to experimental protocol used for the model calibration.
Publisher
Cold Spring Harbor Laboratory
Reference49 articles.
1. Multiple pool analysis as applied to erythro-kinetics;Annals of the New York Academy of Sciences,1963
2. Iron kinetics and erythron development;Biophysical Journal,1965
3. Blood Cell Dynamics: Half of a Century of Modelling
4. Dynamic hematological disease: a review
5. A mathematical model of erythropoiesis in mice and rats. Part 1: Structure of the model;Cell and Tissue Kinetics,1989
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献