Stability of Negative Image Equilibria in Spike-Timing Dependent Plasticity

Details Stability of Negative Image Equilibria in Spike-Timing Dependent Plasticity Stability of Negative Image Equilibria in Spike-Timing Dependent Plasticity

2003-04-17

arxiv.org/abs/physics/0304062v1

Physics

Biological Physics

13 pages, revtex4; uses packages: graphicx, subfigure; 9 figures, 16 subfigures

Scientific paper

10.1103/PhysRevE.68.021923

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.

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