Stability of Negative Image Equilibria in Spike-Timing Dependent Plasticity
Biological Physics
2009-11-10 v1 q-bio
Abstract
We investigate the stability of negative image equilibria in mean synaptic weight dynamics governed by spike-timing dependent plasticity (STDP). The neural architecture of the model is based on the electrosensory lateral line lobe (ELL) of mormyrid electric fish, which forms a negative image of the reafferent signal from the fish's own electric discharge to optimize detection of external electric fields. We derive a necessary and sufficient condition for stability, for arbitrary postsynaptic potential functions and arbitrary learning rules. We then apply the general result to several examples of biological interest.
Cite
@article{arxiv.physics/0304062,
title = {Stability of Negative Image Equilibria in Spike-Timing Dependent Plasticity},
author = {Alan Williams and Patrick D. Roberts and Todd K. Leen},
journal= {arXiv preprint arXiv:physics/0304062},
year = {2009}
}
Comments
13 pages, revtex4; uses packages: graphicx, subfigure; 9 figures, 16 subfigures