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Titolo: Calculation of interspike intervals for integrateandfire neurons with Poisson distribution of synaptic inputs
Autore: Burkitt, AN; Clark, GM;
 Indirizzi:
 Bion Ear Inst, E Melbourne, Vic 3002, Australia Bion Ear Inst E MelbourneVic Australia 3002 lbourne, Vic 3002, Australia
 Titolo Testata:
 NEURAL COMPUTATION
fascicolo: 8,
volume: 12,
anno: 2000,
pagine: 1789  1820
 SICI:
 08997667(200008)12:8<1789:COIIFI>2.0.ZU;2O
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 COCHLEAR NUCLEUS; SPIKING NEURONS; NEURAL ACTIVITY; NETWORK MODELS; CORTICALCELLS; VISUALCORTEX; SYNCHRONIZATION; APPROXIMATIONS; TRANSMISSION; VARIABILITY;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Life Sciences
 Engineering, Computing & Technology
 Citazioni:
 57
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Burkitt, AN Bion Ear Inst, E Melbourne, Vic 3002, Australia Bion Ear InstE Melbourne Vic Australia 3002 3002, Australia



 Citazione:
 A.N. Burkitt e G.M. Clark, "Calculation of interspike intervals for integrateandfire neurons with Poisson distribution of synaptic inputs", NEURAL COMP, 12(8), 2000, pp. 17891820
Abstract
We present a new technique for calculating the interspike intervals of integrateandfire neurons. There are two new components to this technique. First, the probability density of the summed potential is calculated by integrating over the distribution of arrival times of the afferent postsynaptic potentials (PSPs), rather than using conventional stochastic differential equation techniques. A general formulation of this technique is given in terms of the probability distribution of the inputs and the time course of thepostsynaptic response. The expressions are evaluated in the gaussian approximation, which gives results that become more accurate for large numbers of smallamplitude PSPs. Second, the probability density of output spikes, which are generated when the potential reaches threshold, is given in terms of an integral involving a conditional probability density. This expressionis a generalization of the renewal equation, but it holds for both leaky neurons and situations in which there is no timetranslational invariance. The conditional probability density of the potential is calculated using thesame technique of integrating over the distribution of arrival times of the afferent PSPs. For inputs with a Poisson distribution, the known analyticsolutions for both the perfect integrator model and the Stein model (whichincorporates membrane potential leakage) in the diffusion limit are obtained. The interspike interval distribution may also be calculated numericallyfor models that incorporate both membrane potential leakage and a finite rise time of the postsynaptic response. Plots of the relationship between input and output firing rates, as well as the coefficient of variation, are given, and inputs with varying rates and amplitudes, including inhibitory inputs, are analyzed. The results indicate that neurons functioning near their critical threshold, where the inputs are just sufficient to cause firing,display a large variability in their spike timings.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 20/01/20 alle ore 05:22:57