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We analyze a multi-type age dependent model for cell populations subject tounidirectional motion, in both a stochastic and deterministic framework. Cellsare distributed into successive layers; they may divide and move irreversiblyfrom one layer to the next. We adapt results on the large-time convergence ofPDE systems and branching processes to our context, where the Perron-Frobeniusor Krein-Rutman theorem can not be applied. We derive explicit analyticalformulas for the asymptotic cell number moments, and the stable agedistribution. We illustrate these results numerically and we apply them to thestudy of the morphodynamics of ovarian follicles. We prove the structuralparameter identifiability of our model in the case of age independent divisionrates. Using a set of experimental biological data, we estimate the modelparameters to fit the changes in the cell numbers in each layer during theearly stages of follicle development.

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