Abstract
An age-structured model for the cell populations of the epidermis basal layer is proposed, with the aim of quantifying the cell production which makes possible epidermis renewal. The model, which extends our previous model [J. Math. Biol., 73 (2016), pp. 1595--1626], describes the dynamics of proliferating cells, differentiated cells, and apoptotic cells under the physical constraint on the total surface cell density imposed by the cell occupancy of a basement membrane. To fulfill this constraint during any dynamics, the surface cell density is assumed to control cell migration toward the epidermis suprabasal region, as well as the balance between production of proliferating and of differentiated cells at cell division. The well-posedness of the model is fully studied, and the unique steady state is characterized. Numerical simulations are provided for realistic values of the parameters, giving some insight into the stability of the equilibrium and into the homeostatic properties of the model.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.