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Signal-to-noise ratio of binned spike-counts and the timescales of neural coding
© Zacksenhouse et al; licensee BioMed Central Ltd. 2010
- Published: 20 July 2010
- Neural Activity
- Poisson Process
- Additive Noise
- Spike Train
- Refractory Period
The timescales at which information in encoded in the neural activity are usually determined with respect to well identified stimuli or actions. However, neurons may encode multiple signals, including hidden or internal signals, which are not under experimental control. Here we derive a method for estimating the signal-to-noise ratio of binned spike-counts, without any assumption about the encoded signals, and use it to determine the relevant timescales. The method is applied to investigate the timescales relevant during experiments with Brain-Machine Interfaces (BMIs).
The basic method is based on estimating the signal-to-noise ratio in the binned spike trains, under the sole assumption that the spike trains are realizations of either doubly stochastic Poisson process (DSPP) or dead-time modified DSPP . This assumption is verified by demonstrating that the probability densities of the recorded ISIs are approximated well by a mixture of two exponential distributions. Furthermore, it is shown that the estimated SNR is proportional to the actual SNR for signal-dependent additive noise, so it is appropriate for sensitivity analysis.
Theoretical analysis indicates that the behavior of the results at low bin-width reflects the effect of the refractory period, while the behavior of the results at long bin-widths reflects the frequency band-width. Simulations results depict similar behavior and demonstrate the effect of the refractory period and frequency bandwidth.
This research was supported by BERNSTEIN RESEARCH FUND, and conducted in collaboration with Nicolelis Lab. at the Center for Neuro-engineering at Duke University, where the BMI experiments were conducted.
This article is published under license to BioMed Central Ltd.