Waves and propagation failure in discrete space models with nonlinear coupling and feedback

DOI10.1016/S0167-2789(02)00620-6zbMath1048.92009MaRDI QIDQ701515

Markus R. Owen

Publication date: 3 November 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

pattern formationtravelling wave solutionsdifferential equation models

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Cell biology (92C37)

Related Items (7)

Pushed and pulled fronts in a discrete reaction-diffusion equation ⋮ Intra-membrane ligand diffusion and cell shape modulate juxtacrine patterning ⋮ Continuum limits of pattern formation in hexagonal-cell monolayers ⋮ Multiscale analysis of pattern formation via intercellular signalling ⋮ Modelling and analysis of planar cell polarity ⋮ Travelling wavefronts in delayed lattice dynamical systems with global interaction ⋮ Resonant filtering of compositional waves in multicellular networks

Uses Software

• AUTO

Cites Work

• Unnamed Item
• Mathematical modelling of juxtacrine patterning
• Restricted-range gradients and travelling fronts in a model of juxtacrine cell relay
• Multistability in networks of weakly coupled bistable units
• Pattern formation in discrete cell lattices
• Mathematical modelling of juxtacrine cell signalling
• Nonlinear Analysis of Juxtacrine Patterns
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Analysis and computation of travelling wave solutions of bistable differential-difference equations
• The chemical basis of morphogenesis
• Computation of Mixed Type Functional Differential Boundary Value Problems

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