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

DOI10.1007/s00285-012-0608-8zbMath1283.35151OpenAlexW2168780544WikidataQ51306348 ScholiaQ51306348MaRDI QIDQ2435077

David Iron, Chris Levy

Publication date: 3 February 2014

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

Full work available at URL: https://doi.org/10.1007/s00285-012-0608-8

zbMATH Keywords

Green's functionmatched asymptotic expansionsreaction diffusion equationscell signallinglocalized structuressignal transduction pathway

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Cell biology (92C37)

Related Items (4)

An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion ⋮ Synchronized Oscillatory Dynamics for a 1-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion ⋮ Mathematical modelling and computational study of two-dimensional and three-dimensional dynamics of receptor-ligand interactions in signalling response mechanisms ⋮ Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field

Uses Software

• Maple
• COMSOL

Cites Work

• Unnamed Item
• Unnamed Item
• Goldbeter-Koshland model for open signaling cascades: a mathematical study
• Model of cell signal transduction in a three-dimensional domain
• Signaling cascades as cellular devices for spatial computations
• An Asymptotic Analysis of Intracellular Signaling Gradients Arising from Multiple Small Compartments

This page was built for publication: Dynamics and stability of a three-dimensional model of cell signal transduction