The Basal Layer of the Epidermis: A Mathematical Model for Cell Production Under a Surface Density Constraint

DOI10.1137/19M1267052zbMath1475.35353OpenAlexW3007375009MaRDI QIDQ5216991

Gabriela Marinoschi, Alberto Gandolfi, Mimmo Iannelli

Publication date: 21 February 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1267052

zbMATH Keywords

numerical methodspopulation dynamicsnonlinear PDEage structureepidermisbasal layer

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Cell biology (92C37) General biology and biomathematics (92B05) First-order hyperbolic systems (35L40) Initial value problems for first-order hyperbolic equations (35L03)

Cites Work

• The steady state of epidermis: mathematical modeling and numerical simulations
• Time evolution for a model of epidermis growth
• An age-structured model of epidermis growth
• A nonlinear mathematical model of cell turnover, differentiation and tumorigenesis in the intestinal crypt
• The basic approach to age-structured population dynamics. Models, methods and numerics
• Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development

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