scholarly journals Interspike interval distribution of a resonate-and-fire neuron model driven by Mittag-Leffler noise

2017 ◽  
Author(s):  
A. Rekker ◽  
R. Mankin ◽  
S. Paekivi
Keyword(s):  
Neuron Model ◽  
Interspike Interval ◽  
Model Driven ◽  
Interspike Interval Distribution ◽  
Interval Distribution

CLASSICAL-LIKE RESONANCE INDUCED BY NOISE IN A FITZHUGH–NAGUMO NEURON MODEL

1999 ◽  
Vol 09 (12) ◽  
pp. 2295-2303 ◽  
Author(s):  
S. RIPOLL MASSANÉS ◽  
C. J. PÉREZ VICENTE
Keyword(s):  
High Frequency ◽  
Interspike Interval ◽  
Low Frequency ◽  
Resonance Phenomenon ◽  
Characteristic Time Scale ◽  
Wide Range ◽  
External Stimuli ◽  
Interspike Interval Distribution ◽  
Stochastic Resonance Phenomenon ◽  
Interval Distribution

We have studied the stochastic behavior of Fitzhugh–Nagumo neuron-like model (FN) induced by subthreshold external stimuli. Our analysis based on three standard measures: the power spectrum, interspike interval distribution (ISI) and autocorrelation function shows that it is possible to define a characteristic time scale which can be identified in the response of the system for a wide range of frequencies. In contrast to previous studies we have focused our attention on high frequency signals which could be of interest for real systems such as nervous fibers in the auditory system. We report behaviors which resemble those of classical deterministic oscillators but never the stochastic resonance phenomenon typical of low frequency signals.

Improvements to the Sensitivity of Gravitational Clustering for Multiple Neuron Recordings

2000 ◽  
Vol 12 (11) ◽  
pp. 2597-2620 ◽  
Author(s):  
Stuart N. Baker ◽  
George L. Gerstein
Keyword(s):  
Interspike Interval ◽  
Simulation Method ◽  
Spike Trains ◽  
The Novel ◽  
Limited Data ◽  
Neuronal Synchrony ◽  
Gravitational Clustering ◽  
Using Data ◽  
Interspike Interval Distribution ◽  
Interval Distribution

We outline two improvements to the technique of gravitational clustering for detection of neuronal synchrony, which are capable of improving the method's detection of weak synchrony with limited data. The advantages of the enhancements are illustrated using data with known levels of synchrony and different interspike interval distributions. The novel simulation method described can easily generate such test data. An important dependence of the sensitivity of gravitational clustering to the interspike interval distribution of the analysed spike trains is described.

Some renewal process models for single neuron discharge

1971 ◽  
Vol 8 (4) ◽  
pp. 802-808 ◽  
Author(s):  
Howard G. Hochman ◽  
Stephen E. Fienberg
Keyword(s):  
Single Neuron ◽  
Interspike Interval ◽  
Poisson Processes ◽  
Process Models ◽  
Recurrence Time ◽  
The Laplace Transform ◽  
Mean And Variance ◽  
The Mean ◽  
Interspike Interval Distribution ◽  
Interval Distribution

Leslie (1969) obtained the Laplace transform for the recurrence time of clusters of Poisson processes, which can be thought of as yielding the interspike interval distribution for a neuron that receives Poisson excitatory inputs subject to decay. Here, several extensions of this model are derived, each including Poisson inhibitory inputs. Expressions for the mean and variance are derived for each model, and the results for the different models are compared.

scholarly journals Maximum Likelihood Decoding of Neuronal Inputs from an Interspike Interval Distribution

2009 ◽  
Vol 21 (11) ◽  
pp. 3079-3105 ◽  
Author(s):  
Xuejuan Zhang ◽  
Gongqiang You ◽  
Tianping Chen ◽  
Jianfeng Feng
Keyword(s):  
Maximum Likelihood ◽  
Interspike Interval ◽  
Time Windows ◽  
Model Neuron ◽  
Maximum Likelihood Estimates ◽  
Maximum Likelihood Decoding ◽  
First Time ◽  
Lif Neuron ◽  
Interspike Interval Distribution ◽  
Interval Distribution

An expression for the probability distribution of the interspike interval of a leaky integrate-and-fire (LIF) model neuron is rigorously derived, based on recent theoretical developments in the theory of stochastic processes. This enables us to find for the first time a way of developing maximum likelihood estimates (MLE) of the input information (e.g., afferent rate and variance) for an LIF neuron from a set of recorded spike trains. Dynamic inputs to pools of LIF neurons both with and without interactions are efficiently and reliably decoded by applying the MLE, even within time windows as short as 25 msec.

Haloperidol-induced suppression of carotid chemoreception in vitro

1985 ◽  
Vol 59 (3) ◽  
pp. 814-820 ◽  
Author(s):  
W. F. Nolan ◽  
D. F. Donnelly ◽  
E. J. Smith ◽  
R. E. Dutton
Keyword(s):  
Single Unit ◽  
Interspike Interval ◽  
Dose Dependency ◽  
Nerve Activity ◽  
Serial Dependency ◽  
Endogenous Dopamine ◽  
Reduced Frequency ◽  
Interspike Interval Distribution ◽  
Interval Distribution

Effects of antagonism of endogenous dopamine with haloperidol on single-unit frequency, interspike interval distribution, and interval serial dependency of the cat sinus nerve were tested using an in vitro carotid body-sinus nerve superfusion technique. A dose dependency of inhibition by haloperidol (0.05–2.0 microgram/ml) was observed. Superfusion with 1–2 microgram/ml haloperidol significantly reduced frequency within 5 min (P less than 0.05) and caused a complete cessation of firing within 25 min in 5 of 10 chemoreceptor units. Frequency recovered to control during drug washout. Acetylcholine (10-micrograms/ml superfusion or 500-micrograms bolus) increased sinus nerve activity under control conditions but not during superfusion with haloperidol. No effect of haloperidol on impulse serial dependency was detected. However, interval distribution was significantly altered by haloperidol in five of six chemoreceptor units. Our results suggest an excitatory role for dopamine in carotid chemoreception.

scholarly journals EFFECT OF MEMBRANE DEPOLARISATION OF SUPRACHIASMATIC NUCLEUS NEURONS ON SPIKE ACTIVITY IN VITRO

2017 ◽  
Vol 20 (3) ◽  
pp. 170-177
Author(s):  
A.N. Inyushkin ◽  
M.A. Tkacheva ◽  
A.A. Petrova ◽  
T.V. Ryazantseva ◽  
A.V. Parfenova
Keyword(s):  
Suprachiasmatic Nucleus ◽  
Spike Activity ◽  
Interspike Interval ◽  
Membrane Depolarisation ◽  
Interspike Interval Distribution ◽  
Hypothalamic Slices ◽  
Interval Distribution

The properties of spike activity of neurons of the suprachiasmatic nucleus during their membrane depolarisation in vitro are investigated on rat hypothalamic slices. Depolarisation of membrane caused an increase in activity of cells and a decrease in entropy log interspike interval distribution were used as a measure of spikes irregularity generation. Possible mechanisms of the effects are discussed.

Some renewal process models for single neuron discharge

1971 ◽  
Vol 8 (04) ◽  
pp. 802-808
Author(s):  
Howard G. Hochman ◽  
Stephen E. Fienberg
Keyword(s):  
Single Neuron ◽  
Interspike Interval ◽  
Poisson Processes ◽  
Process Models ◽  
Recurrence Time ◽  
The Laplace Transform ◽  
Mean And Variance ◽  
The Mean ◽  
Interspike Interval Distribution ◽  
Interval Distribution

Leslie (1969) obtained the Laplace transform for the recurrence time of clusters of Poisson processes, which can be thought of as yielding the interspike interval distribution for a neuron that receives Poisson excitatory inputs subject to decay. Here, several extensions of this model are derived, each including Poisson inhibitory inputs. Expressions for the mean and variance are derived for each model, and the results for the different models are compared.

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