Cells coupled by voltage-dependent gap junctions: The asymptotic dynamical limit

BioSystems

Volumn 68, Issue 2-3, 2003, Pages 213-222

  Baigent, Stephen ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Cooperative dynamics; Ion channels; Markov chains

Indexed keywords

CYTOLOGY; MARKOV CHAIN;

ANIMAL CELL; CELL JUNCTION; CONFERENCE PAPER; COOPERATION; ELECTRIC POTENTIAL; ENERGY; EXTRACELLULAR MATRIX; GLOBAL CHANGE; HOMOGENATE; MOLECULAR DYNAMICS; NONHUMAN; PROBABILITY; STEADY STATE;

EID: 0037322596     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0303-2647(02)00097-7     Document Type: Conference Paper

References (14)

1. Baigent S., Stark J., Warner A. Modelling the effect of gap junction nonlinearities in systems of coupled cells. J. Theor. Biol. 186:1997;223-239.
2. Baigent S., Stark J., Warner A. Convergent dynamics of two cells coupled by a nonlinear gap junction. Nonlinear Anal. Theory Methods Appl. 47:(1):2001;257-268.
3. Bennett M.V.L., Verselis V.K. Biophysics of gap junctions. Semin. Cell Biol. 3:1992;29-47.
4. Grimmett G.R., Stirzaker D.R. Probability and Random Processes. second ed. 1992;245 Clarendon Press, Oxford.
5. Halanay A., Rasvan V. Applications of Liapunov Methods in Stability. 1993;Kluwer Academic Publishers.
6. Harris A.L., Spray D.C., Bennett M.V.L. Kinetic properties of a voltage-dependent junctional conductance. J. Gen. Physiol. 77:1981;95-117.
7. Iannelli P., Baigent S., Stark J. Inertial manifolds for dynamics of cells coupled by a gap junction. Dyn. Stab. Sys. 13:(2):1998;187-213.
8. Kumar N.M., Gilula N.B. The gap junction communication channel. Cell. 84:1996;381-388.
9. Norris J.R. Markov Chains. 1997;CUP.
10. Sakamoto K. Invariant manifolds in singular perturbation problems for ordinary differential equations. Proc. R. Soc. Ed. Series A. 116:1990;45-78.
11. Smith, H.L., 1995. Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. AMS Mathematical surveys and monographs, 41.
12. Spray D.C., Harris A.L., Bennett M.V.L. Equilibrium properties of a voltage-dependent junctional conductance. J. Gen. Physiol. 77:1981;77-93.
13. Verhulst F. Nonlinear Differential Equations and Dynamical Systems. second ed. 1996;Springer.
14. White T.W., Bruzzone R., Wolfram S., Paul D.L., Goodenough D.A. Selective interactions among the multiple connexin proteins expressed in the vertebrate lens: the second extracellular domain is a determinant of compatibility between connexins. J. Cell Biol. 125:1994;879-892.