Morphological changes in early melanoma development: influence of nutrients, growth inhibitors and cell-adhesion mechanisms

DOI10.1016/j.jtbi.2011.08.029zbMath1397.92318OpenAlexW1976295346WikidataQ45993004 ScholiaQ45993004MaRDI QIDQ1786816

Pasquale Ciarletta, Clément Chatelain, Martine Ben Amar

Publication date: 25 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2011.08.029

zbMATH Keywords

WKB analysisclinical dermatologycontour instabilityskin cancer morphologytumor multiphase model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Developmental biology, pattern formation (92C15) Cell movement (chemotaxis, etc.) (92C17)

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The universal growth rate behavior and regime transition in adherent cell colonies ⋮ Relaxation of the Cahn–Hilliard equation with singular single-well potential and degenerate mobility ⋮ Error analysis of a finite element approximation of a degenerate Cahn-Hilliard equation ⋮ Regularization and Separation for Evolving Surface Cahn–Hilliard Equations ⋮ Tumor boundary instability induced by nutrient consumption and supply ⋮ Discontinuous Galerkin finite element discretization of a degenerate Cahn-Hilliard equation with a single-well potential ⋮ Dynamic Analysis of the Melanoma Model: From Cancer Persistence to Its Eradication ⋮ Model of vascular desmoplastic multispecies tumor growth ⋮ Nonlinear studies of tumor morphological stability using a two-fluid flow model ⋮ A nonlinear poroelastic theory of solid tumors with glycosaminoglycan swelling ⋮ Modelling cancer cell budding in-vitro as a self-organised, non-equilibrium growth process

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