The Library
Travelling waves in a model of quasi-active dendrites with active spines
Tools
Timofeeva, Yulia (2010) Travelling waves in a model of quasi-active dendrites with active spines. Physica D: Nonlinear Phenomena, Vol.239 (No.9). pp. 494-503. doi:10.1016/j.physd.2010.01.004 ISSN 0167-2789.
PDF
WRAP_Timofeeva__0671586-cs-140510-rsds.pdf - Requires a PDF viewer. Download (1152Kb) |
Official URL: http://dx.doi.org/10.1016/j.physd.2010.01.004
Abstract
Dendrites, the major components of neurons, have many different types of branching structures and are involved in receiving and integrating thousands of synaptic inputs from other neurons. Dendritic spines with excitable channels can be present in large densities on the dendrites of many cells. The recently proposed Spike-Diffuse-Spike (SDS) model that is described by a system of point hot-spots (with an integrate-and-fire process) embedded throughout a passive tree has been shown to provide a reasonable caricature of a dendritic tree with supra-threshold dynamics. Interestingly, real dendrites equipped with voltage-gated ion channels can exhibit not only supra-threshold responses, but also sub-threshold dynamics. This sub-threshold resonant-like oscillatory behaviour has already been shown to be adequately described by a quasi-active membrane. In this paper we introduce a mathematical model of a branched dendritic tree based upon a generalisation of the SDS model where the active spines are assumed to be distributed along a quasi-active dendritic structure. We demonstrate how solitary and periodic travelling wave solutions can be constructed for both continuous and discrete spine distributions. In both cases the speed of such waves is calculated as a function of system parameters. We also illustrate that the model can be naturally generalised to an arbitrary branched dendritic geometry whilst remaining computationally simple. The spatio-temporal patterns of neuronal activity are shown to be significantly influenced by the properties of the quasi-active membrane. Active (sub- and supra-threshold) properties of dendrites are known to vary considerably among cell types and animal species, and this theoretical framework can be used in studying the combined role of complex dendritic morphologies and active conductances in rich neuronal dynamics.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Library of Congress Subject Headings (LCSH): | Dendrites -- Research, Membranes (Biology) -- Electric properties, Synapses -- Research, Neural transmission, Neural circuitry | ||||
Journal or Publication Title: | Physica D: Nonlinear Phenomena | ||||
Publisher: | Elsevier BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 1 March 2010 | ||||
Dates: |
|
||||
Volume: | Vol.239 | ||||
Number: | No.9 | ||||
Page Range: | pp. 494-503 | ||||
DOI: | 10.1016/j.physd.2010.01.004 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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 |
Downloads
Downloads per month over past year