The Library
Intercellular calcium waves in the fire-diffuse-fire framework : Green's function for gap-junctional coupling
Tools
Harris, J. (Jamie) and Timofeeva, Yulia (2010) Intercellular calcium waves in the fire-diffuse-fire framework : Green's function for gap-junctional coupling. Physical Review E, Vol.82 (No.5). Article: 051910. doi:10.1103/PhysRevE.82.051910 ISSN 1539-3755.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1103/PhysRevE.82.051910
Abstract
Calcium is a crucial component in a plethora of cellular processes involved in cell birth, life, and death. Intercellular calcium waves that can spread through multiple cells provide one form of cellular communication mechanism between various parts of cell tissues. Here we introduce a simple, yet biophysically realistic model for the propagation of intercellular calcium waves based on the fire-diffuse-fire type model for calcium dynamics. Calcium release sites are considered to be discretely distributed along individual linear cells that are connected by gap junctions and a solution of this model can be found in terms of the Green's function for this system. We develop the "sum-over-trips" formalism that takes into account the boundary conditions at gap junctions providing a generalization of the original sum-over-trips approach for constructing the response function for branched neural dendrites. We obtain the exact solution of the Green's function in the Laplace (frequency) domain for an infinite array of cells and show that this Green's function can be well approximated by its truncated version. This allows us to obtain an analytical traveling wave solution for an intercellular calcium wave and analyze the speed of solitary wave propagation as a function of physiologically important system parameters. Periodic and irregular traveling waves can be also sustained by the proposed model.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Computer Science |
||||
Journal or Publication Title: | Physical Review E | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | 5 November 2010 | ||||
Dates: |
|
||||
Volume: | Vol.82 | ||||
Number: | No.5 | ||||
Number of Pages: | 12 | ||||
Page Range: | Article: 051910 | ||||
DOI: | 10.1103/PhysRevE.82.051910 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Research Councils UK (RCUK) |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |