A model of cell surface receptor aggregation

DOI10.1007/s00285-017-1094-9zbMath1370.92026OpenAlexW2580816300WikidataQ47995585 ScholiaQ47995585MaRDI QIDQ2402995

David Iron, John Rumsey

Publication date: 15 September 2017

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

Full work available at URL: https://doi.org/10.1007/s00285-017-1094-9

zbMATH Keywords

bifurcationspartial differential equationstheoretical biologymesa pattern formation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Developmental biology, pattern formation (92C15) Cell biology (92C37) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items (1)

Backward parabolicity, cross-diffusion and Turing instability

Uses Software

• Maple
• FlexPDE

Cites Work

• Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients
• Stability transitions and dynamics of mesa patterns near the shadow limit of reaction-diffusion systems in one space dimension
• Aggregation of cell surface receptors by multivalent ligands
• Equilibrium binding of multivalent ligands to cells: Effects of cell and receptor density
• Mesa-type patterns in the one-dimensional Brusselator and their stability
• Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations

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