Analysis and calibration of a linear model for structured cell populations with unidirectional motion : Application to the morphogenesis of ovarian follicles

Abstract : We analyze a multi-type age dependent model for cell populations subject to uni-6directional motion, in both a stochastic and deterministic framework. Cells are distributed into7successive layers; they may divide and move irreversibly from one layer to the next. We adapt re-8sults on the large-time convergence of PDE systems and branching processes to our context, where9the Perron-Frobenius or Krein-Rutman theorem can not be applied. We derive explicit analytical10formulas for the asymptotic cell number moments, and the stable age distribution. We illustrate11these results numerically and we apply them to the study of the morphodynamics of ovarian folli-12cles. We prove the structural parameter identifiability of our model in the case of age independent13division rates. Using a set of experimental biological data, we estimate the model parameters to fit14the changes in the cell numbers in each layer during the early stages of follicle developmen
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Pré-publication, Document de travail
2018
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Frédérique Clément, Frédérique Robin, Romain Yvinec. Analysis and calibration of a linear model for structured cell populations with unidirectional motion : Application to the morphogenesis of ovarian follicles. 2018. 〈hal-01852560〉

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