To relate the noise intensity with a periodically modulated input signal in a single neuron stochastic model we introduce a diffusion model with both time modulated drift and diffusion coefficient. Such model is the continuous version of a Stein model with time oscillating frequencies for the Poisson processes describing the inputs impinging on the neuron. We focus here on some aspects of the resonance phenomenon for such model. We compare the corresponding interspike interval distribution with the analogous distribution for a model sharing the same parameter values, but with constant noise intensity. Examples with two different levels for this noise intensity are discussed. The enhancement of the height of the peaks in the interspike interval distribution appearing at the modulation period, the improvement of the phase locking behavior and an enlargement of the noise ranges where a resonance like behavior arises are the main features recognized from the considered cases.

Effects of a periodic stimulus on a neuronal diffusion model with signal-dependent noise / Giraudo M.T.; Sacerdote L.. - In: BIOSYSTEMS. - ISSN 0303-2647. - 79(2005), pp. 73-81.

Effects of a periodic stimulus on a neuronal diffusion model with signal-dependent noise

GIRAUDO, Maria Teresa;SACERDOTE, Laura Lea
2005

Abstract

To relate the noise intensity with a periodically modulated input signal in a single neuron stochastic model we introduce a diffusion model with both time modulated drift and diffusion coefficient. Such model is the continuous version of a Stein model with time oscillating frequencies for the Poisson processes describing the inputs impinging on the neuron. We focus here on some aspects of the resonance phenomenon for such model. We compare the corresponding interspike interval distribution with the analogous distribution for a model sharing the same parameter values, but with constant noise intensity. Examples with two different levels for this noise intensity are discussed. The enhancement of the height of the peaks in the interspike interval distribution appearing at the modulation period, the improvement of the phase locking behavior and an enlargement of the noise ranges where a resonance like behavior arises are the main features recognized from the considered cases.
79
73
81
Single neuron model; resonance; input dependent noise
Giraudo M.T.; Sacerdote L.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1554
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