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Neural Comput. 2007 May;19(5):1362-99.

Multispike interactions in a stochastic model of spike-timing-dependent plasticity.

Author information

1
Institute for Theoretical Biology, Humboldt-Universit├Ąt zu Berlin, Invalidenstrasse 43, D-10115 Berlin, Germany. p.appleby@biologie.hu-berlin.de

Abstract

Recently we presented a stochastic, ensemble-based model of spike-timing-dependent plasticity. In this model, single synapses do not exhibit plasticity depending on the exact timing of pre- and postsynaptic spikes, but spike-timing-dependent plasticity emerges only at the temporal or synaptic ensemble level. We showed that such a model reproduces a variety of experimental results in a natural way, without the introduction of various, ad hoc nonlinearities characteristic of some alternative models. Our previous study was restricted to an examination, analytically, of two-spike interactions, while higher-order, multispike interactions were only briefly examined numerically. Here we derive exact, analytical results for the general n-spike interaction functions in our model. Our results form the basis for a detailed examination, performed elsewhere, of the significant differences between these functions and the implications these differences have for the presence, or otherwise, of stable, competitive dynamics in our model.

PMID:
17381270
DOI:
10.1162/neco.2007.19.5.1362
[Indexed for MEDLINE]

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