| Cells coupled by voltage-dependent gap junctions: the asymptotic dynamical limit. | |
| | |
MedLine Citation:
|
PMID: 12595119 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
|
We study the steady state and dynamical properties of a pair of cells coupled by a voltage-dependent gap junction. The cells have linear membrane properties, and the gap junction is modelled using a simple Markov chain with a voltage-dependent transition matrix. We first show that the voltage-independent case is globally convergent using energy dissipation as a Lyapunov function for the cells, and standard results on the convergence of homogeneous Markov chains for the junction. For the voltage-dependent case, we use the difference in cell and gap junction time scales to reduce the coupled equations for cells and the gap junction to a single equation for the gap junction, but with a transition matrix that depends upon the current gap junction state. We identify cooperativity as key property behind the global convergence of Markov chains and investigate convergence of the voltage-dependent system by establishing some conditions under which cooperativity is preserved. |
| | |
Authors:
|
Stephen Baigent |
Related Documents
:
|
3970839 - The effects of thermal stimulation on the ultrastructure of the human atrichial sweat g... 12064619 - Mouse horizontal cells do not express connexin26 or connexin36. 14963329 - Nanotubular highways for intercellular organelle transport. 103299 - Cell junctions in dyserythropoiesis. 8719879 - Synthesis and assembly of human beta 1 gap junctions in bhk cells by dna transfection w... 7902579 - Barrier properties of testis microvessels. 9602529 - Classification of the frog lingual gland cells and their exocytotic features. 10928749 - Bowman's layer structure and function: critical or dispensable to corneal function? a h... 1723659 - Developmental expression of the glial fibrillary acidic protein (gfap) gene in the mous... |
Publication Detail:
|
Type: Journal Article; Research Support, Non-U.S. Gov't |
Journal Detail:
|
Title: Bio Systems Volume: 68 ISSN: 0303-2647 ISO Abbreviation: BioSystems Publication Date: 2003 Feb-Mar |
Date Detail:
|
Created Date: 2003-02-21 Completed Date: 2003-11-18 Revised Date: 2006-11-15 |
Medline Journal Info:
|
Nlm Unique ID: 0430773 Medline TA: Biosystems Country: Ireland |
Other Details:
|
Languages: eng Pagination: 213-22 Citation Subset: IM |
Copyright Information:
|
Copyright 2002 Elsevier Science Ireland Ltd. |
Affiliation:
|
Centre for Non-linear Dynamics and Its Applications, University College London, Gower Street, London WC1E 6BT, UK. s.baigent@ucl.ac.uk |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
Cell Communication
/
physiology* Gap Junctions / physiology* Markov Chains |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Exploring the dynamic background of the developmental processes and cell reactions with the use of a...
Next Document: A hybrid machine model of rice blast fungus, Magnaporthe grisea.