Spike-timing dependent synaptic plasticity: a phenomenological framework |
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Authors: | Kistler Werner M |
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Institution: | (1) Department of Neuroscience, Faculty of Medicine and Health Sciences, Erasmus University Rotterdam, The Netherlands, NL |
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Abstract: | In this paper a phenomenological model of spike-timing dependent synaptic plasticity (STDP) is developed that is based on
a Volterra series-like expansion. Synaptic weight changes as a function of the relative timing of pre- and postsynaptic spikes
are described by integral kernels that can easily be inferred from experimental data. The resulting weight dynamics can be
stated in terms of statistical properties of pre- and postsynaptic spike trains. Generalizations to neurons that fire two
different types of action potentials, such as cerebellar Purkinje cells where synaptic plasticity depends on correlations
in two distinct presynaptic fibers, are discussed.
We show that synaptic plasticity, together with strictly local bounds for the weights, can result in synaptic competition
that is required for any form of pattern formation. This is illustrated by a concrete example where a single neuron equipped
with STDP can selectively strengthen those synapses with presynaptic neurons that reliably deliver precisely timed spikes
at the expense of other synapses which transmit spikes with a broad temporal distribution. Such a mechanism may be of vital
importance for any neuronal system where information is coded in the timing of individual action potentials.
Received: 23 January 2002 / Accepted: 28 March 2002
Correspondence to: W.M. Kistler (e-mail: kistler@anat.fgg.eur.nl Fax: +31 10 408 5459) |
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