caa a22 4500 44533021X CHVBK 20180317142734.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00285-010-0330-3 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0330-3 An age-structured model of epidermis growth [Elektronische Daten] [Alberto Gandolfi, Mimmo Iannelli, Gabriela Marinoschi] We propose a model with age and space structure for the evolution of the supra-basal epidermis. The model includes different types of cells: proliferating cells, differentiated cells, corneous cells, and apoptotic cells. We assume that all cells move with the same velocity and that the local volume fraction, occupied by the cells is constant in space and time. This hypothesis, based on experimental evidence, allows us to determine a constitutive equation for the cell velocity. We focus on the stationary case of the problem, that takes the form of a quasi-linear evolution problem of first order, and we investigate conditions under which there is a solution. Springer-Verlag, 2010 Nonlinear PDE nationallicence Population theory nationallicence Age structure nationallicence Cell populations nationallicence Stratified epithelium nationallicence Gandolfi Alberto Istituto di Analisi dei Sistemi ed Informatica "A. Ruberti”, CNR, Viale Manzoni 30, 00185, Roma, Italy aut Iannelli Mimmo Mathematics Department, University of Trento, via Sommarive 14, 38123, Povo (Trento), Italy aut Marinoschi Gabriela Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711, Bucharest, Romania aut Journal of Mathematical Biology Springer-Verlag 62/1(2011-01-01), 111-141 0303-6812 62:1<111 2011 62 285 https://doi.org/10.1007/s00285-010-0330-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0330-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gandolfi Alberto Istituto di Analisi dei Sistemi ed Informatica "A. Ruberti”, CNR, Viale Manzoni 30, 00185, Roma, Italy aut NATIONALLICENCE 700 1- Iannelli Mimmo Mathematics Department, University of Trento, via Sommarive 14, 38123, Povo (Trento), Italy aut NATIONALLICENCE 700 1- Marinoschi Gabriela Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711, Bucharest, Romania aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/1(2011-01-01), 111-141 0303-6812 62:1<111 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer