Oscillations and patterns in spatially discrete models for developmental intercellular signalling

DOI10.1007/s00285-003-0247-1zbMath1058.92008OpenAlexW2052438956WikidataQ47854242 ScholiaQ47854242MaRDI QIDQ1889368

Markus R. Owen, Steven D. Webb

Publication date: 1 December 2004

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/preprint/Oscillations_and_patterns_in_spatially_discrete_models_for_developmental_intercellular_signalling/9384452

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Cell biology (92C37) Bifurcations in context of PDEs (35B32)

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Effect of time delay on pattern formation: Competition between homogenisation and patterning ⋮ Intra-membrane ligand diffusion and cell shape modulate juxtacrine patterning ⋮ Boolean analysis of lateral inhibition ⋮ Coupling dynamics of 2D notch-delta signalling ⋮ Snaking and isolas of localised states in bistable discrete lattices ⋮ Continuum limits of pattern formation in hexagonal-cell monolayers ⋮ Effects of intrinsic and extrinsic noise can accelerate juxtacrine pattern formation ⋮ Multiscale analysis of pattern formation via intercellular signalling ⋮ Resonant filtering of compositional waves in multicellular networks ⋮ 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

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