- Poster presentation
- Open Access
Synaptic transmission of spike trains with arbitrary interspike intervals
BMC Neuroscience volume 16, Article number: P205 (2015)
Short-term synaptic depression, caused by depletion of releasable neurotransmitter vesicles, modulates the strength of neuronal connections in an activity-dependent manner [1, 2]. Quantifying the statistics of this form of synaptic transmission requires the development of stochastic models linking probabilistic neurotransmitter release with the spike-train statistics of the presynaptic population [3, 4]. A common approach has been to model the presynaptic spike train as either regular or a memory-less Poisson process  - few analytical results are available that describe the behaviour of a depressing synapse when the afferent spike train has more complex, temporally correlated statistics.
Recently, we have derived a series of results that allow for the fraction of occupied release sites and the neurotransmitter release probability to be calculated for a presynaptic spike train with arbitrary interspike interval (ISI) statistics. The results take a particularly compact form when the presynaptic spike times are generated by a renewal process, i.e. when the ISIs are independent. This encompasses a broad range of models that are currently used for circuit and network analyses, including the class of integrate-and-fire models. Our approach also allows for the postsynaptic voltage mean and variance to be calculated, which in turn allows for an approximation of the firing rate of a neuron driven by depressing synapses from non-Poissonian presynaptic neurons (Figure 1).
These results will allow for the incorporation of more complex and physiologically relevant firing patterns into future analytic studies of neuronal circuits and networks.
Eccles JC, Katz B, Kuffler SW: Nature of the 'endplate potential' in curarized muscle. J Neurophysiol. 1941, 4 (5): 362-387.
Tsodyks M, Pawelzik K, Markram H: Neural networks with dynamic synapses. Neural Comput. 1998, 10 (4): 821-835.
Fuhrmann G, Segev I, Markram H, Tsodyks M: Coding of temporal information by activity-dependent synapses. J Neurophysiol. 2002, 87 (1): 140-148.
la Rocha de J, Parga N: Short-term synaptic depression causes a non-monotonic response to correlated stimuli. J Neurosci. 2005, 25 (37): 8416-8431.
Rosenbaum R, Rubin J, Doiron B: Short Term Synaptic Depression Imposes a Frequency Dependent Filter on Synaptic Information Transfer. PLoS Comput Biol. 2012, 8 (6): e1002557-
Rights and permissions
This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
About this article
Cite this article
Bird, A.D., Richardson, M.J. Synaptic transmission of spike trains with arbitrary interspike intervals. BMC Neurosci 16 (Suppl 1), P205 (2015). https://doi.org/10.1186/1471-2202-16-S1-P205
- Synaptic Transmission
- Spike Train
- Neurotransmitter Release
- Firing Pattern
- Spike Time