Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework

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Timofeeva, Yulia ; Lord, Gabriel ; Coombes, Stephen (2005)
  • Subject:
    arxiv: Quantitative Biology::Tissues and Organs | Mathematics::Geometric Topology | Quantitative Biology::Neurons and Cognition
    mesheuropmc: musculoskeletal system | musculoskeletal diseases

The spike-diffuse-spike (SDS) model describes a passive dendritic tree with active dendritic spines. Spine-head dynamics is modelled with a simple integrate-and-fire process, whilst communication between spines is mediated by the cable equation. Here we develop a computational framework that allows the study of multiple spiking events in a network of such spines embedded in a simple one-dimensional cable. This system is shown to support saltatory waves as a result of the discrete distribution of spines. Moreover, we demonstrate one of the ways to incorporate noise into the spine-head whilst retaining computational tractability of the model. The SDS model sustains a variety of propagating patterns.
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