Free boundary problems for tumor growth: a viscosity solutions approach

DOI10.1016/J.NA.2016.01.019zbMath1334.35360arXiv1507.00796OpenAlexW2963325269WikidataQ60502706 ScholiaQ60502706MaRDI QIDQ272749

Inwon Christina Kim, Panagiotis E. Souganidis, Perthame, Benoît

Publication date: 20 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00796

zbMATH Keywords

tumor growthfree boundaryviscosity solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Other free boundary flows; Hele-Shaw flows (76D27) Viscosity solutions to PDEs (35D40)

Related Items (10)

A density-constrained model for chemotaxis ⋮ Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour ⋮ Incompressible limit of the Navier-Stokes model with a growth term ⋮ Tumor boundary instability induced by nutrient consumption and supply ⋮ From individual-based mechanical models of multicellular systems to free-boundary problems ⋮ Incompressible limits of the Patlak-Keller-Segel model and its stationary state ⋮ Modeling the chemotherapy-induced selection of drug-resistant traits during tumor growth ⋮ Bridging the gap between individual-based and continuum models of growing cell populations ⋮ Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues ⋮ A two-species hyperbolic–parabolic model of tissue growth

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