Equilibrium Properties of Temporally Asymmetric Hebbian Plasticity

Details Equilibrium Properties of Temporally Asymmetric Hebbian Plasticity Equilibrium Properties of Temporally Asymmetric Hebbian Plasticity

2000-07-25

arxiv.org/abs/cond-mat/0007392v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

3 figures, minor corrections of equations and text

Scientific paper

10.1103/PhysRevLett.86.364

A theory of temporally asymmetric Hebb (TAH) rules which depress or potentiate synapses depending upon whether the postsynaptic cell fires before or after the presynaptic one is presented. Using the Fokker-Planck formalism, we show that the equilibrium synaptic distribution induced by such rules is highly sensitive to the manner in which bounds on the allowed range of synaptic values are imposed. In a biologically plausible multiplicative model, we find that the synapses in asynchronous networks reach a distribution that is invariant to the firing rates of either the pre- or post-synaptic cells. When these cells are temporally correlated, the synaptic strength varies smoothly with the degree and phase of synchrony between the cells.

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