The steady state of epidermis: mathematical modeling and numerical simulations

DOI10.1007/S00285-016-1006-4zbMath1350.92009OpenAlexW2339100866WikidataQ42491948 ScholiaQ42491948MaRDI QIDQ338362

Mimmo Iannelli, Gabriela Marinoschi, Alberto Gandolfi

Publication date: 4 November 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-016-1006-4

zbMATH Keywords

numerical methodspopulation dynamicsnonlinear PDEage structurestratified epithelium

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Physiology (general) (92C30) Cell biology (92C37) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

Related Items (1)

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

Cites Work

• Time evolution for a model of epidermis growth
• Mathematical models of the cell cycle with a view to tumor studies
• An age-structured model of epidermis growth
• Active regulation of the epidermal calcium profile
• A nonlinear mathematical model of cell turnover, differentiation and tumorigenesis in the intestinal crypt
• Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development

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