A non-local evolution equation model of cell–cell adhesion in higher dimensional space

DOI10.1080/17513758.2012.755572zbMath1448.92068OpenAlexW1966309002WikidataQ38316578 ScholiaQ38316578MaRDI QIDQ3304545

Janet Dyson, Glenn F. Webb, Stephen A. Gourley

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2012.755572

zbMATH Keywords

existenceboundednesspositivityadvectionnon-localcell adhesion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17) Positive solutions to PDEs (35B09)

Related Items (13)

The work of Glenn F. Webb ⋮ A nonlocal model for contact attraction and repulsion in heterogeneous cell populations ⋮ Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion ⋮ Biological modeling with nonlocal advection–diffusion equations ⋮ Viability in a non-local population model structured by size and spatial position ⋮ Patterning of nonlocal transport models in biology: the impact of spatial dimension ⋮ The force of cell-cell adhesion in determining the outcome in a nonlocal advection diffusion model of wound healing ⋮ Bifurcation analysis of critical values for wound closure outcomes in wound healing experiments ⋮ Nonlocal and local models for taxis in cell migration: a rigorous limit procedure ⋮ Partial differential inclusions of transport type with state constraints ⋮ A particle system approach to aggregation phenomena ⋮ Mathematical modeling of chondrogenic pattern formation during limb development: recent advances in continuous models ⋮ On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation

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