Time-scale matching in the response of a leaky integrate-and-fire neuron model to periodic stimulus with additive noise

Citation
T. Shimokawa et al., Time-scale matching in the response of a leaky integrate-and-fire neuron model to periodic stimulus with additive noise, PHYS REV E, 59(3), 1999, pp. 3427-3443
Citations number
31
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
59
Issue
3
Year of publication
1999
Part
B
Pages
3427 - 3443
Database
ISI
SICI code
1063-651X(199903)59:3<3427:TMITRO>2.0.ZU;2-J
Abstract
We study the response of a leaky integrate-and-fire neuron model to subthre shold periodic stimulus with additive noise. Previous works have shown that the interspike interval distribution at the modulation period goes through a maximum with increasing either the noise intensity or the period. This m aximum appears when the stimulation period is close to the mode of the inte rspike interval distribution in the absence of the modulation. This phenome non is called time-scale matching. In this paper, we examine time-scale mat ching in the response to periodic signals with and without resetting of the input phase at each firing. For the case without resetting, we calculate t he phase distribution by iterating a stochastic phase transition operator. This operator extends the phase transition curve commonly used in the analy sis of the response of deterministic oscillators to periodic stimulation. W e also examine the dependence of the time-scale matching on the input ampli tude. Furthermore, we consider the response of the system in the frequency domain. It is known that the signal-to-noise ratio derived from the power s pectral density goes through a maximum with increasing noise intensity. We show that the signal-to-noise ratio also has a hump as a function of the pe riod, and discuss its relation to time-scale matching. This work helps in c larifying conditions whereby noise can improve the detection of a weak peri odic signal by neurons through time-scale matching. [S1063-651X(99)07703-X] .