Multispike interactions in a stochastic model of spike-timing-dependent plasticity.
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.
Appleby
Peter A
PA
Institute for Theoretical Biology, Humboldt-Universität zu Berlin, Invalidenstrasse 43, D-10115 Berlin, Germany. p.appleby@biologie.hu-berlin.de
Elliott
Terry
T
D000200:Action Potentials / Q000502:physiology*; D008959:Models, Neurological; D009473:Neuronal Plasticity / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D017729:Presynaptic Terminals / Q000502:physiology; D013269:Stochastic Processes; D013997:Time Factors