Towards a learning-theoretic analysis of spike-timing dependent plasticity

This paper suggests a learning-theoretic perspective on how synaptic plasticity benefits global brain functioning. We introduce a model, the selectron, that (i) arises as the fast time constant limit of leaky integrate-and-fire neurons equipped with spiking timing dependent plasticity (STDP) and (ii) is amenable to theoretical analysis. We show that the selectron encodes reward estimates into spikes and that an error bound on spikes is controlled by a spiking margin and the sum of synaptic weights. Moreover, the efficacy of spikes (their usefulness to other reward maximizing selectrons) also depends on total synaptic strength. Finally, based on our analysis, we propose a regularized version of STDP, and show the regularization improves the robustness of neuronal learning when faced with multiple stimuli.Comment: To appear in Adv. Neural Inf. Proc. System

Adenosine A1 receptor activation mediates the developmental shift at layer 5 pyramidal cell synapses and is a determinant of mature synaptic strength

During the first postnatal month glutamatergic synapses between layer 5 pyramidal cells in the rodent neocortex switch from an immature state exhibiting high probability of neurotransmitter release, large unitary amplitude and synaptic depression to a mature state with decreased probability of release, smaller unitary amplitude and synaptic facilitation. Using paired recordings, we demonstrate that the developmental shift in release probability at synapses between rat somatosensory layer 5 thick-tufted pyramidal cells is due to a higher and more heterogeneous activation of presynaptic adenosine A1 receptors. Immature synapses under control conditions exhibited distributions of CV, failure rate and release probability that were almost coincident with the A1 receptor blocked condition; however, mature synapses under control conditions exhibited much broader distributions that spanned those of both the A1 receptor agonised and antagonised conditions. Immature and mature synapses expressed A1 receptors with no observable difference in functional efficacy and therefore the heterogeneous A1 receptor activation seen in the mature neocortex is due to increased adenosine concentrations that vary between synapses. Given the central role demonstrated for A1 receptor activation in determining synaptic amplitude and the statistics of transmission between mature layer 5 pyramidal cells, the emplacement of adenosine sources and sinks near the synaptic terminal could constitute a novel form of long-term synaptic plasticity

Modeling the Contributions of the Exocytotic Machinery and Receptor Desensitization to Short- and Long-Term Plasticity of Synapses Between Neocortical Pyramidal Neurons

Short-term synaptic depression (STD) refers to the progressive decrease in synaptic efficacy during a spike train. This decrease may be explained in terms of presynaptic and postsynaptic processes, such as a decrease in the probability of transmitter release, and postsynaptic receptor desensitization. STD may be very strong, and is release-dependent in neocortical pyramid-pyramid synapses. Using a stochastic synapse model, we suggest that the main source of depression in these synapses is the step of vesicle priming, while vesicle depletion and postsynaptic receptor desensitization are proposed to play a lesser role. Our results suggest that vesicle priming may explain not only the release-dependent nature of STD, but also the observation that an average of about one vesicle per active zone is released in central synapses, without positing forced univesicular release. We propose that the latter phenomenon is due to a low priming probability. Our results also explain the effect of paired pre- and postsynaptic activity on STD. In neocortical pyramid-pyramid synapses pairing induces a form of long-term potentiation that has been described as a redistribution of synaptic efficacy (RSE). We propose that RSE is due to a pairing-induced increase in the probability that a primed vesicle will undergo release in response to a presynaptic action potential. This increase may be due to an increased Ca^2+ influx through voltage-gated Ca^2+ channels, or to an increased sensitivity of primed vesicles to this influx. The results were obtained by constraining the model with experimentally observed levels of release probability and other synaptic variables.Defense Advanced Research Projects Agency and the Office of Naval Research (N00014-95-l-0409); Office of Naval Research (N00014-95-l-0657)