Journal of Computational Neuroscience

, Volume 21, Issue 3, pp 293–306

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

  • Yulia Timofeeva
  • Gabriel J. Lord
  • Stephen Coombes
Article

DOI: 10.1007/s10827-006-8776-4

Cite this article as:
Timofeeva, Y., Lord, G.J. & Coombes, S. J Comput Neurosci (2006) 21: 293. doi:10.1007/s10827-006-8776-4

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.

Keywords

Spike-diffuse-spike Dendritic spines Filtering Noise 

Copyright information

© Springer Science Business Media, LLC 2006

Authors and Affiliations

  • Yulia Timofeeva
    • 1
  • Gabriel J. Lord
    • 1
  • Stephen Coombes
    • 2
  1. 1.Department of MathematicsHeriot-Watt UniversityEdinburghUK
  2. 2.School of Mathematical SciencesUniversity of NottinghamNottinghamUK

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