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A good understanding of how neurons use electrical pulses (i.e, spikes) to encode the signal information remains elusive. Analyzing spike sequences generated by individual neurons and by two coupled neurons (using the stochastic…

Neurons and Cognition · Quantitative Biology 2019-10-23 Maria Masoliver , Cristina Masoller

We investigate two recently proposed multivariate time series analysis techniques that aim at detecting phase synchronization clusters in spatially extended, nonstationary systems with regard to field applications. The starting point of…

Data Analysis, Statistics and Probability · Physics 2010-03-15 Stephan Bialonski , Klaus Lehnertz

The metrization of the space of neural responses is an ongoing research program seeking to find natural ways to describe, in geometrical terms, the sets of possible activities in the brain. One component of this program are the {\em spike…

Neurons and Cognition · Quantitative Biology 2009-07-21 Alexander J. Dubbs , Brad A. Seiler , Marcelo O. Magnasco

The neuromagnetic activity (magnetoencephalogram, MEG) from healthy human brain and from an epileptic patient against chromatic flickering stimuli has been earlier analyzed on the basis of a memory functions formalism (MFF). Information…

Medical Physics · Physics 2010-06-29 O. Yu. Panischev , S. A. Demin , J. Bhattacharya

To predict an epileptic event means the ability to determine in advance the time of the seizure with the highest possible accuracy. A correct prediction benchmark for epilepsy events in clinical applications is a typical problem in…

Applications · Statistics 2020-06-03 Antonio Quintero-Rincon , Carlos D'Giano , Marcelo Risk

We have studied neuronal synchronisation in a random network of adaptive exponential integrate-and-fire neurons. We study how spiking or bursting synchronous behaviour appears as a function of the coupling strength and the probability of…

Epilepsy is one of the most prevalent neurological conditions, where an epileptic seizure is a transient occurrence due to abnormal, excessive and synchronous activity in the brain. Electroencephalogram signals emanating from the brain may…

Neurons and Cognition · Quantitative Biology 2023-12-05 Paul Grant , Md Zahidul Islam

Measures of linear dependence (coherence) and nonlinear dependence (phase synchronization) between any number of multivariate time series are defined. The measures are expressed as the sum of lagged dependence and instantaneous dependence.…

Methodology · Statistics 2007-11-12 Roberto D. Pascual-Marqui

Patients with epilepsy can manifest short, sub-clinical epileptic "bursts" in addition to full-blown clinical seizures. We believe the relationship between these two classes of events---something not previously studied…

Machine Learning · Statistics 2014-07-29 Drausin F. Wulsin , Emily B. Fox , Brian Litt

Neural spike trains, which are sequences of very brief jumps in voltage across the cell membrane, were one of the motivating applications for the development of point process methodology. Early work required the assumption of stationarity,…

Applications · Statistics 2011-08-01 Robert E. Kass , Ryan C. Kelly , Wei-Liem Loh

The two-point central difference is a common algorithm in biological signal processing and is particularly useful in analyzing physiological signals. In this paper, we develop a model-based classification method to detect epileptic seizures…

Applications · Statistics 2020-06-01 Antonio Quintero-Rincon , Carlos D'Giano , Hadj Batatia

In this paper we address the issue of photo galleries synchronization, where pictures related to the same event are collected by different users. Existing solutions to address the problem are usually based on unrealistic assumptions, like…

Multimedia · Computer Science 2017-01-17 E. Sansone , K. Apostolidis , N. Conci , G. Boato , V. Mezaris , F. G. B. De Natale

We report measurements on the synchronization properties of organ pipes. First, we investigate influence of an external acoustical signal from a loudspeaker on the sound of an organ pipe. Second, the mutual influence of two pipes with…

Classical Physics · Physics 2009-11-11 M. Abel , S. Bergweiler , R. Gerhard-Multhaupt

Quantifying cooperation or synergy among random variables in predicting a single target random variable is an important problem in many complex systems. We review three prior information-theoretic measures of synergy and introduce a novel…

Information Theory · Computer Science 2014-04-02 Virgil Griffith , Christof Koch

Spontaneous synchronization of an ensemble of metronomes placed on a freely rotating platform is studied experimentally and by computer simulations. A striking in-phase synchronization is observed when the metronomes' beat frequencies are…

Chaotic Dynamics · Physics 2015-06-11 Szilard Boda , Zoltan Neda , Botond Tyukodi , Arthur Tunyagi

Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network's structure. For non identical elements, the lack of…

Adaptation and Self-Organizing Systems · Physics 2016-01-20 A. Navas , J. A. Villacorta-Atienza , I. Leyva , J. A. Almendral , I. Sendiña-Nadal , S. Boccaletti

The estimation of the signal location and intensity of a peak in a pulse height spectrum is important for x-ray and $\gamma$-ray spectroscopy, charged-particle spectrometry, liquid chromatography, and many other subfields. However, both the…

Data Analysis, Statistics and Probability · Physics 2021-03-03 Cade Rodgers , Christian Iliadis

Measures of multiple spike train synchrony are essential in order to study issues such as spike timing reliability, network synchronization, and neuronal coding. These measures can broadly be divided in multivariate measures and averages…

Neurons and Cognition · Quantitative Biology 2012-12-11 T. Kreuz , D. Chicharro , R. G. Andrzejak , J. S. Haas , H. D. I. Abarbanel

We introduce Ordinal Synchronization ($OS$) as a new measure to quantify synchronization between dynamical systems. $OS$ is calculated from the extraction of the ordinal patterns related to two time series, their transformation into…

Quantitative Methods · Quantitative Biology 2019-01-30 Ignacio Echegoyen , Victor Vera-Ávila , Ricardo Sevilla-Escoboza , Johann H. Martínez , Javier M. Buldú

Statistical similarities between neuronal spike trains could reveal significant information on complex underlying processing. In general, the similarity between synchronous spike trains is somewhat easy to identify. However, the similar…

Neurons and Cognition · Quantitative Biology 2021-03-16 Sathish Ande , Jayanth R Regatti , Neha Pandey , Ajith Karunarathne , Lopamudra Giri , Soumya Jana
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