Convergent dynamics of two cells coupled by a nonlinear gap junction

Autor:	Jaroslav Stark, Stephen Baigent, Anne E. Warner
Rok vydání:	2001
Předmět:	Nonlinear system Singular perturbation Steady state (electronics) Coupling strength Control theory Applied Mathematics Inertial manifold Dynamics (mechanics) Convergence (routing) Mathematical analysis Gap junction Analysis Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 47:257-268
ISSN:	0362-546X
DOI:	10.1016/s0362-546x(01)00174-2
Popis:	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 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 Poincare-Bendixson theorem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bbb31f1d020916bdb5e094c96c43fb93 https://doi.org/10.1016/s0362-546x(01)00174-2 Zobrazit plný text záznamu Full Text from ScienceDirect