A one-dimensional model for the interaction between cell-to-cell adhesion and chemotactic signalling

DOI10.1017/S0956792511000040zbMath1219.35320arXiv0906.3452MaRDI QIDQ3087048

K. Anguige

Publication date: 2 August 2011

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3452

zbMATH Keywords

chemotaxisStefan problemscell-to-cell adhesion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (5)

Subdiffusion of Particles with a Nonlinear Interaction and Cell-Cell Adhesion ⋮ Transport equations for subdiffusion with nonlinear particle interaction ⋮ Modelling cell migration and adhesion during development ⋮ Continuum and lattice models analysis of the aggregation diffusion cell movement ⋮ Finite traveling wave solutions in a degenerate cross-diffusion model for bacterial colony with volume filling

Cites Work

• A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
• Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
• Multi-phase Stefan problems for a non-linear one-dimensional model of cell-to-cell adhesion and diffusion
• The Keller--Segel Model with Logistic Sensitivity Function and Small Diffusivity
• Global existence for a parabolic chemotaxis model with prevention of overcrowding

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