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Normalized entropy as a measure of randomness is explored. It is employed to characterize those properties of neuronal firing that cannot be described by the first two statistical moments. We analyze randomness of firing of the Ornstein-Uhlenbeck (OU) neuronal model with respect either to the variability of interspike intervals (coefficient of variation) or… (More)

The dynamics of a neuron are influenced by the connections with the network where it lies. Recorded spike trains exhibit patterns due to the interactions between neurons. However, the structure of the network is not known. A challenging task is to investigate it from the analysis of simultaneously recorded spike trains. We develop a non-parametric method… (More)

We present a computational algorithm aimed to classify single unit spike trains on the basis of observed interspikes intervals (ISI). The neuronal activity is modeled with a stochastic leaky integrate and fire model and the inverse first passage time method is extended to the Ornstein-Uhlenbeck (OU) process. Differences between spike trains are detected in… (More)

The inverse first-passage problem for a Wiener process (Wt) t≥0 seeks to determine a function b : R+ → R such that τ = inf{t > 0|Wt ≥ b(t)} has a given law. In this paper two methods for approximating the unknown function b are presented. The errors of the two methods are studied. A set of examples illustrates the methods. Possible applications are… (More)

A first passage problem for a bivariate diffusion process: numerical solution with an application to neuroscience. Abstract We consider a bivariate diffusion process and we study the first passage time of one component through a boundary. We prove that its probability density is the unique solution of a new integral equation and we propose a numerical… (More)

An optimum signal in the Ornstein-Uhlenbeck neuronal model is determined on the basis of interspike interval data. Two criteria are proposed for this purpose. The first, the classical one, is based on searching for maxima of the slope of the frequency transfer function. The second one uses maximum of the Fisher information, which is, under certain… (More)

Statistical properties of spike trains as well as other neurophysiological data suggest a number of mathematical models of neurons. These models range from entirely descriptive ones to those deduced from the properties of the real neurons. One of them, the diffusion leaky integrate-and-fire neuronal model, which is based on the Ornstein–Uhlenbeck (OU)… (More)

- Tina Birmpili, Keith Alverson, Wondwosen Asnake, Sandra Averous, Abdourahman Bary, Sylvia Bankobeza +86 others
- 2016

Diversity , the Montreal Protocol on substances that deplete the ozone layer, and the Basel Convention on the control of transboundary movements of hazardous wastes and their disposal, the Rotterdam Convention on the prior informed consent procedure for certain hazardous chemicals and pesticides in international trade and Stockholm convention on persistent… (More)