Dynamics and stability of a three-dimensional model of cell signal transduction with delay

DOI10.1088/0951-7715/28/7/2515zbMath1356.35265OpenAlexW2414864971MaRDI QIDQ2944174

David Iron, Chris Levy

Publication date: 28 August 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/7/2515

zbMATH Keywords

delay differential equationsperturbation methodsnumerical simulationssignal transductionlocalized structures

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic expansions of solutions to PDEs (35C20) Cell biology (92C37) Numerical methods for differential-algebraic equations (65L80) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Bifurcations in context of PDEs (35B32) Numerical analysis (educational aspects) (97N40)

Related Items (4)

An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion ⋮ Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model ⋮ Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field ⋮ Stability and dynamics of spike-type solutions to delayed Gierer-Meinhardt equations

Uses Software

• COMSOL
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