dorsal/arxiv
View SchemaStatistical properties of spike trains: universal and stimulus-dependent aspects
| Authors | N. Brenner, O. Agam, W. Bialek, R. de Ruyter van Steveninck |
|---|---|
| Categories | |
| ArXiv ID | physics/9902061 |
| URL | https://arxiv.org/abs/physics/9902061 |
Abstract
Statistical properties of spike trains measured from a sensory neuron in-vivo are studied experimentally and theoretically. Experiments are performed on an identified neuron in the visual system of the blowfly. It is shown that the spike trains exhibit universal behavior over short time, modulated by a stimulus-dependent envelope over long time. A model of the neuron as a nonlinear oscillator driven by noise and an external stimulus, is suggested to account for these results. The model enables a theoretic distinction of the effects of internal neuronal properties from effects of external stimulus properties, and their identification in the measured spike trains. The universal regime is characterized by one dimensionless parameter, representing the internal degree of irregularity, which is determined both by the sensitivity of the neuron and by the properties of the noise. The envelope is related in a simple way to properties of the input stimulus as seen through nonlinearity of the neural response. Explicit formulas are derived for different statistical properties in both the universal and the stimulus-dependent regimes. These formulas are in very good agreement with the data in both regimes.
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"abstract": "Statistical properties of spike trains measured from a sensory neuron in-vivo\nare studied experimentally and theoretically. Experiments are performed on an\nidentified neuron in the visual system of the blowfly. It is shown that the\nspike trains exhibit universal behavior over short time, modulated by a\nstimulus-dependent envelope over long time. A model of the neuron as a\nnonlinear oscillator driven by noise and an external stimulus, is suggested to\naccount for these results. The model enables a theoretic distinction of the\neffects of internal neuronal properties from effects of external stimulus\nproperties, and their identification in the measured spike trains. The\nuniversal regime is characterized by one dimensionless parameter, representing\nthe internal degree of irregularity, which is determined both by the\nsensitivity of the neuron and by the properties of the noise. The envelope is\nrelated in a simple way to properties of the input stimulus as seen through\nnonlinearity of the neural response. Explicit formulas are derived for\ndifferent statistical properties in both the universal and the\nstimulus-dependent regimes. These formulas are in very good agreement with the\ndata in both regimes.",
"arxiv_id": "physics/9902061",
"authors": [
"N. Brenner",
"O. Agam",
"W. Bialek",
"R. de Ruyter van Steveninck"
],
"categories": [
"physics.bio-ph",
"q-bio"
],
"title": "Statistical properties of spike trains: universal and stimulus-dependent aspects",
"url": "https://arxiv.org/abs/physics/9902061"
},
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