Multiscale analysis of pattern formation via intercellular signalling
From MaRDI portal
Publication:541893
DOI10.1016/J.MBS.2011.03.003zbMath1214.92006OpenAlexW1979614823WikidataQ48149415 ScholiaQ48149415MaRDI QIDQ541893
Publication date: 8 June 2011
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: http://eprints.nottingham.ac.uk/29035/
Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Cell biology (92C37)
Related Items (9)
A MULTIPHASE MULTISCALE MODEL FOR NUTRIENT LIMITED TISSUE GROWTH ⋮ Coordination of local and long range signaling modulates developmental patterning ⋮ A multi-scale analysis of drug transport and response for a multi-phase tumour model ⋮ A simplified model of glycoprotein production within cell culture ⋮ Coupling dynamics of 2D notch-delta signalling ⋮ Continuum limits of pattern formation in hexagonal-cell monolayers ⋮ Effective equations governing an active poroelastic medium ⋮ The Extrinsic Noise Effect on Lateral Inhibition Differentiation Waves ⋮ Pattern formation in discrete cell tissues under long range filopodia-based direct cell to cell contact
Cites Work
- Waves and propagation failure in discrete space models with nonlinear coupling and feedback
- Convergence to pushed fronts
- On two types of moving front in quasilinear diffusion
- Travelling fronts in nonlinear diffusion equations
- Pattern formation in discrete cell lattices
- Mathematical modelling of juxtacrine cell signalling
- Oscillations and patterns in spatially discrete models for developmental intercellular signalling
- Multiple scale and singular perturbation methods
- Intra-membrane ligand diffusion and cell shape modulate juxtacrine patterning
- A multiple timescale analysis of a mathematical model of the Wnt/\(\beta\)-catenin signalling pathway
- Continuum approximations of individual-based models for epithelial monolayers
- Poroelasticity equations derived from microstructure
- The chemical basis of morphogenesis
- Homogenization of the Cell Cytoplasm: The Calcium Bidomain Equations
This page was built for publication: Multiscale analysis of pattern formation via intercellular signalling
