An Age and Spatially Structured Model of Tumor Invasion with Haptotaxis II

DOI10.1080/08898480802010159zbMath1145.92016OpenAlexW2091744770WikidataQ111491760 ScholiaQ111491760MaRDI QIDQ3520244

Rosanna Villella-Bressan, Janet Dyson, Glenn F. Webb

Publication date: 15 August 2008

Published in: Mathematical Population Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/08898480802010159

zbMATH Keywords

diffusionanalytic semigroupcell proliferationhaptotaxisfractional powertumor cellsextracellular matrixdegradation enzyme

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) PDEs of mixed type (35M10) Groups and semigroups of linear operators (47D03)

Related Items (8)

The work of Glenn F. Webb ⋮ The force of cell-cell adhesion in determining the outcome in a nonlocal advection diffusion model of wound healing ⋮ Logistic Tumor Growth with Delay and Impulsive Treatment ⋮ A non-local evolution equation model of cell–cell adhesion in higher dimensional space ⋮ An Identification Problem in Age-Dependent Population Diffusion ⋮ Some results based on maximal regularity regarding population models with age and spatial structure ⋮ Global Existence and Boundedness of Solutions to a Model of Chemotaxis ⋮ A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes

Cites Work

• Unnamed Item
• Dual semigroups and second order linear elliptic boundary value problems
• Semigroups of linear operators and applications to partial differential equations
• Exponential representation of solutions to an abstract semilinear differential equation
• An age and spatially structured model of tumor invasion with haptotaxis
• Global Existence of Classical Solutions for a Haptotaxis Model
• Computational Methods and Results for Structured Multiscale Models of Tumor Invasion
• A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion

This page was built for publication: An Age and Spatially Structured Model of Tumor Invasion with Haptotaxis II