Spatio-temporal filtering properties of a dendritic cable with active spines: A modeling study in the spike-diffuse-spike framework

Timofeeva, Yulia; Lord, Gabriel; Coombes, Stephen

Abstract

The spike-diffuse-spike (SDS) model describes a passive dendritic tree with active dendritic spines. Spine-head dynamics is modeled with a simple integrate-and-fire process, whilst communication between spines is mediated by the cable equation. In this paper we develop a computational framework that allows the study of multiple spiking events in a network of such spines embedded on a simple one-dimensional cable. In the first instance this system is shown to support saltatory waves with the same qualitative features as those observed in a model with Hodgkin-Huxley kinetics in the spine-head. Moreover, there is excellent agreement with the analytically calculated speed for a solitary saltatory pulse. Upon driving the system with time-varying external input we find that the distribution of spines can play a crucial role in determining spatio-temporal filtering properties. In particular, the SDS model in response to periodic pulse train shows a positive correlation between spine density and low-pass temporal filtering that is consistent with the experimental results of Rose and Fortune [1999, 'Mechanisms for generating temporal filters in the electrosensory system,' The Journal of Experimental Biology 202: 1281-1289]. Further, we demonstrate the robustness of observed wave properties to natural sources of noise that arise both in the cable and the spine-head, and highlight the possibility of purely noise induced waves and coherent oscillations. © Springer Science Business Media, LLC 2006.

Citation

Timofeeva, Y., Lord, G., & Coombes, S. (2006). Spatio-temporal filtering properties of a dendritic cable with active spines: A modeling study in the spike-diffuse-spike framework. Journal of Computational Neuroscience, 21(3), 293-306. https://doi.org/10.1007/s10827-006-8776-4

• Journal Article Type: Article
• Acceptance Date: Apr 12, 2006
• Online Publication Date: Jul 28, 2006
• Publication Date: Dec 1, 2006
• Deposit Date: Apr 7, 2006
• Publicly Available Date: Oct 9, 2007
• Journal: Journal of Computational Neuroscience
• Print ISSN: 0929-5313
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 21
• Issue: 3
• Pages: 293-306
• DOI: https://doi.org/10.1007/s10827-006-8776-4
• Keywords: spike-diffuse-spike, dendritic spines, filtering, noise
• Public URL: https://nottingham-repository.worktribe.com/output/1018455
• Publisher URL: https://link.springer.com/article/10.1007%2Fs10827-006-8776-4