Localised signalling compartments in 2D coupled by a bulk diffusion field: Quorum sensing and synchronous oscillations in the well-mixed limit

DOI10.1017/S0956792520000261zbMath1479.35051arXiv2006.03775MaRDI QIDQ5014476

Sarafa A. Iyaniwura, Michael J. Ward

Publication date: 8 December 2021

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03775

zbMATH Keywords

Hopf bifurcationglobal couplingquorum sensingPDE-ODE systemsynchronous oscillationsKuramoto order parameterbulk diffusiondefector cells

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Bifurcations in context of PDEs (35B32) Biological rhythms and synchronization (92B25) Pattern formations in context of PDEs (35B36)

Uses Software

• Matlab
• XPPAUT
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• The MATLAB ODE Suite
• Simulating, Analyzing, and Animating Dynamical Systems
• Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations