Baigent, S; Stark, J; Warner, A; (2001) Convergent dynamics of two cells coupled by a nonlinear gap junction. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , 47 (1) 257 - 268.
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A mathematical model for two Xenopus cells linked by a gap junction is analysed. The model takes the form of a 4 dimensional singular perturbation problem. Depending upon the coupling strength of the gap junction and the electrogenic pumping, there is either one stable steady state or two stable and one unstable steady states. Convergence of the dynamics to a steady state is proved by projecting the system onto a 2 dimensional inertial manifold and applying Dulac's test together with the Pohicare-Bendixson theorem.
|Title:||Convergent dynamics of two cells coupled by a nonlinear gap junction.|
|Keywords:||convergent dynamics, inertial manifold, gap junctions, MANIFOLDS|
|UCL classification:||UCL > School of Life and Medical Sciences > Faculty of Life Sciences|
UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
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