Existence and Asymptotic Properties of Solutions of a Nonlocal Evolution Equation Modeling Cell-Cell Adhesion
From MaRDI portal
Publication:2999875
DOI10.1137/090765663zbMath1222.35030OpenAlexW2012220363MaRDI QIDQ2999875
Rosanna Villella-Bressan, Janet Dyson, Glenn F. Webb, Stephen A. Gourley
Publication date: 17 May 2011
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/090765663
regularityexistencepositivityreaction-diffusionanalytic semigroupnonlocaladhesionpositivity preserving property
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Cell movement (chemotaxis, etc.) (92C17)
Related Items
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion, Continuous models for cell-cell adhesion, Asymptotic behavior of a nonlocal advection system with two populations, A cell-cell repulsion model on a hyperbolic Keller-Segel equation, The work of Glenn F. Webb, A nonlocal model for contact attraction and repulsion in heterogeneous cell populations, A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis, Biological modeling with nonlocal advection–diffusion equations, 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, A non-local evolution equation model of cell–cell adhesion in higher dimensional space, AN IN VITRO CELL POPULATION DYNAMICS MODEL INCORPORATING CELL SIZE, QUIESCENCE, AND CONTACT INHIBITION, Sharp discontinuous traveling waves in a hyperbolic Keller–Segel equation, Existence and uniqueness of solutions for a hyperbolic Keller-Segel equation, Mathematical modeling of chondrogenic pattern formation during limb development: recent advances in continuous models, Ensemble Interpretation of Quantum Mechanics and the Two-Slit Experiment, On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation