A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion
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Publication:2415722
DOI10.1016/j.jtbi.2014.06.011zbMath1412.92025OpenAlexW1982364740WikidataQ51073229 ScholiaQ51073229MaRDI QIDQ2415722
Alistair M. Middleton, Ramon Grima, Christian Fleck
Publication date: 23 May 2019
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2014.06.011
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini
- Adding adhesion to a chemical signaling model for somite formation
- Model for chemotaxis
- From particle to kinetic and hydrodynamic descriptions of flocking
- Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation
- Large time behavior of nonlocal aggregation models with nonlinear diffusion
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- The impact of adhesion on cellular invasion processes in cancer and development
- Non-local models for the formation of hepatocyte-stellate cell aggregates
- Travelling waves in a wound healing assay.
- Mutual interactions, potentials, and individual distance in a social aggregation
- A continuum approach to modelling cell-cell adhesion
- Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\)
- The Mathematical Analysis of Biological Aggregation and Dispersal: Progress, Problems and Perspectives
- A hybrid approach to multi-scale modelling of cancer
- Particle, kinetic, and hydrodynamic models of swarming
- Continuum approximations of individual-based models for epithelial monolayers
- Emergent Behavior in Flocks
- Local and Global Existence for an Aggregation Equation
- Derivation of macroscopic equations for individual cell‐based models: a formal approach
- Statistical Mechanics of Fluid Mixtures
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