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Background: Measures of spike train synchrony are widely used in both experimental and computational neuroscience. Time-scale independent and parameter-free measures, such as the ISI-distance, the SPIKE-distance and SPIKE-synchronization,…

Data Analysis, Statistics and Probability · Physics 2017-05-31 Eero Satuvuori , Mario Mulansky , Nebojsa Bozanic , Irene Malvestio , Fleur Zeldenrust , Kerstin Lenk , Thomas Kreuz

This paper aims to review the measure synchronization, a weak form of synchronization observed in coupled Hamiltonian systems, briefly. This synchronization is characterized by a Hamiltonian system that displays either quasiperiodic or…

Chaotic Dynamics · Physics 2023-11-10 Anupam Ghosh

Understanding a neural code requires knowledge both of the elementary symbols that transmit information and of the algorithm for translating these symbols into sensory signals or motor actions. We show that these questions can be separated:…

Biological Physics · Physics 2007-05-23 N. Brenner , S. P. Strong , R. Koberle , W. Bialek , R. de Ruyter van Steveninck

Electroencephalogram (EEG) is an important diagnostic test that physicians use to record brain activity and detect seizures by monitoring the signals. There have been several attempts to detect seizures and abnormalities in EEG signals with…

Machine Learning · Computer Science 2022-03-22 Kwanhyung Lee , Hyewon Jeong , Seyun Kim , Donghwa Yang , Hoon-Chul Kang , Edward Choi

We propose a novel formulation for phase synchronization -- the statistical problem of jointly estimating alignment angles from noisy pairwise comparisons -- as a nonconvex optimization problem that enforces consistency among the pairwise…

Information Theory · Computer Science 2019-05-15 Tingran Gao , Zhizhen Zhao

Neurons in the central nervous system communicate with each other with the help of series of Action Potentials, or spike trains. Various studies have shown that neurons encode information in different features of spike trains, such as the…

Neurons and Cognition · Quantitative Biology 2014-10-21 Shubhanshu Shekhar , Kaushik Majumdar

We investigate the relative merit of phase-based methods---mean phase coherence, unweighted and weighted phase lag index---for estimating the strength of interactions between dynamical systems from empirical time series which are affected…

Neurons and Cognition · Quantitative Biology 2014-09-16 Stephan Porz , Matthäus Kiel , Klaus Lehnertz

Pattern classification in electroencephalography (EEG) signals is an important problem in biomedical engineering since it enables the detection of brain activity, particularly the early detection of epileptic seizures. In this paper, we…

Applications · Statistics 2024-07-04 Antonio Quintero-Rincón , Jorge Prendes , Valeria Muro , Carlos D'Giano

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

The role of synchronous firing in sensory coding and cognition remains controversial. While studies, focusing on its mechanistic consequences in attentional tasks, suggest that synchronization dynamically boosts sensory processing, others…

Neurons and Cognition · Quantitative Biology 2019-05-07 Siavash Ghavami , Vahid Rahmati , Farshad Lahouti , Lars Schwabe

We report experimental studies of synchronization phenomena in a pair of biological neurons that interact through naturally occurring, electrical coupling. When these neurons generate irregular bursts of spikes, the natural coupling…

This paper considers the problem of detecting equal-shaped non-overlapping unimodal peaks in the presence of Gaussian ergodic stationary noise, where the number, location and heights of the peaks are unknown. A multiple testing approach is…

Methodology · Statistics 2010-08-12 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

Intracranial recordings in epilepsy patients are increasingly utilized to gain insight into the electrophysiological mechanisms of human cognition. There are currently several practical limitations to conducting research with these…

Neurons and Cognition · Quantitative Biology 2021-06-23 Omer E Ashmaig , Liberty S Hamilton , Pradeep Modur , Robert J Buchanan , Alison R Preston , Andrew J Watrous

Objectives: This study examines human Photoplethysmogram (PPG) along with Electrocardiogram (ECG) signals to study cardiac autonomic imbalance in epileptic seizures. The significance and the prevalence of changes in PPG morphological…

Signal Processing · Electrical Eng. & Systems 2019-12-12 Seyede Mahya Safavi , Ninaz Valisharifabad , Robert Sabino , Hsinchung Chen , Ali HeydariGorji , Demi Tran , Jack Lin , Beth Lopour , Pai H. Chou

By introducing the twin concepts of reliability and precision along with the corresponding measures, Mainen and Sejnowski's seminal 1995 paper "Reliability of spike timing in neocortical neurons" (Mainen and Sejnowski, 1995) paved the way…

Neurons and Cognition · Quantitative Biology 2025-10-09 Thomas Kreuz

Estimating the degree of synchrony or reliability between two or more spike trains is a frequent task in both experimental and computational neuroscience. In recent years, many different methods have been proposed that typically compare the…

Biological Physics · Physics 2012-12-11 Thomas Kreuz , Julie S. Haas , Alice Morelli , Henry D. I. Abarbanel , Antonio Politi

We present a methodology to characterize synchronization in time series based on symbolic representations. A symbol is linked to a sequence of numbers through the rank-order of its values. A representation of a time series results after…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Roberto Monetti , Wolfram Bunk , Ferdinand Jamitzky

As cyber-attacks against critical infrastructure become more frequent, it is increasingly important to be able to rapidly identify and respond to these threats. This work investigates two independent systems with overlapping electrical…

Cryptography and Security · Computer Science 2022-01-10 Sina Sontowski , Nigel Lawrence , Deepjyoti Deka , Maanak Gupta

In this paper, two modern adaptive signal processing techniques, Empirical Intrinsic Geometry and Synchrosqueezing transform, are applied to quantify different dynamical features of the respiratory and electroencephalographic signals. We…

Medical Physics · Physics 2014-10-07 Hau-tieng Wu , Ronen Talmon , Yu-Lun Lo

Predicting future system behaviour from past observed behaviour (time series) is fundamental to science and engineering. In computational neuroscience, the prediction of future epileptic seizures from brain activity measurements, using EEG…