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Related papers: Brain criticality through nonadditive entropic ana…

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We explore the chaotic dynamics and complexity of a neuro-system with respect to variable synaptic weights in both noise free and noisy conditions. The chaotic dynamics of the system is investigated by bifurcation analysis and 0-1 test. A…

Chaotic Dynamics · Physics 2021-03-17 Sanjay K. Palit , Sayan Mukherjee

The brain is a highly complex system. Most of such complexity stems from the intermingled connections between its parts, which give rise to rich dynamics and to the emergence of high-level cognitive functions. Disentangling the underlying…

Neurons and Cognition · Quantitative Biology 2023-08-14 Vito Dichio , Fabrizio De Vico Fallani

High-frequency heart rate variability (HRV) has identified parasympathetic nervous system alterations in autism spectrum disorder (ASD). In a cohort of school-aged children with and without ASD, we test a set of alternative linear and…

Quantitative Methods · Quantitative Biology 2020-04-27 Martin G Frasch , Chao Shen , Hau-Tieng Wu , Alexander Mueller , Emily Neuhaus , Raphael A. Bernier , Dana Kamara , Theodore P. Beauchaine

Background: EEG signals are commonly used in ADHD diagnosis, but they are often affected by noise and artifacts. Effective preprocessing and segmentation methods can significantly enhance the accuracy and reliability of ADHD classification.…

Signal Processing · Electrical Eng. & Systems 2024-11-05 Sandra García-Ponsoda , Alejandro Maté , Juan Trujillo

We numerically study the two-dimensional, area preserving, web map. When the map is governed by ergodic behavior, it is, as expected, correctly described by Boltzmann-Gibbs statistics, based on the additive entropic functional $S_{BG}[p(x)]…

Statistical Mechanics · Physics 2017-11-08 Guiomar Ruiz , Ugur Tirnakli , Ernesto P. Borges , Constantino Tsallis

Over the last years, increasing evidence has fuelled the hypothesis that Autism Spectrum Disorder (ASD) is a condition of altered brain functional connectivity. The great majority of these empirical studies rely on functional magnetic…

Neurons and Cognition · Quantitative Biology 2010-08-02 Pablo Barttfeld , Bruno Wicker , Sebastián Cukier , Silvana Navarta , Sergio Lew , Mariano Sigman

The paper extends the analysis of the entropies of the Poisson distribution with parameter $\lambda$. It demonstrates that the Tsallis and Sharma-Mittal entropies exhibit monotonic behavior with respect to $\lambda$, whereas two generalized…

Probability · Mathematics 2024-11-27 Dmitri Finkelshtein , Anatoliy Malyarenko , Yuliya Mishura , Kostiantyn Ralchenko

Criticality in the cortex emerges from the seemingly random interaction of microscopic components and produces higher cognitive functions at mesoscopic and macroscopic scales. Random graphs and percolation theory provide natural means to…

Neurons and Cognition · Quantitative Biology 2012-06-07 Robert Kozma , Marko Puljic , Walter J. Freeman

Entropy is a classical measure to quantify the amount of information or complexity of a system. Various entropy-based measures such as functional and spectral entropies have been proposed in brain network analysis. However, they are less…

Neurons and Cognition · Quantitative Biology 2018-03-08 Hyekyoung Lee , Eunkyung Kim , Hyejin Kang , Youngmin Huh , Youngjo Lee , Seonhee Lim , Dong Soo Lee

In this paper we utilized the concept of stable phase synchronization topography - synchrostates - over the scalp derived from EEG recording for formulating brain connectivity network in Autism Spectrum Disorder (ASD) and typically-growing…

Objective. The paper investigates the presence of autism using the functional brain connectivity measures derived from electro-encephalogram (EEG) of children during face perception tasks. Approach. Phase synchronized patterns from…

The observation of critical-like behavior in cortical networks represents a major step forward in elucidating how the brain manages information. Understanding the origin and functionality of critical-like dynamics, as well as their…

Neurons and Cognition · Quantitative Biology 2015-06-22 Paula Villa Martín , Paolo Moretti , Miguel A. Muñoz

We study macroscopic behavior of populations of quadratic integrate-and-fire neurons subject to non-Gaussian noises; we argue that these noises must be alpha-stable whenever they are delta-correlated (white). For the case of…

Statistical Mechanics · Physics 2024-04-04 Denis S. Goldobin , Evelina V. Permyakova , Lyudmila S. Klimenko

Approximate entropy (ApEn) and sample entropy (SampEn) are widely used for temporal complexity analysis of real-world phenomena. However, their relationship with the Hurst exponent as a measure of self-similarity is not widely studied.…

Computational Physics · Physics 2018-12-17 Amir Omidvarnia , Mostefa Mesbah , Mangor Pedersen , Graeme Jackson

We describe a chain of unidirectionally coupled adaptive excitable elements slowly driven by a stochastic process from one end and open at the other end, as a minimal toy model of unresolved irreducible uncertainty in a system performing…

Neurons and Cognition · Quantitative Biology 2022-09-14 Mario Martinez-Saito

Autism Spectrum Disorder (ASD) is a neurodevelopmental condition characterized by varied social cognitive challenges and repetitive behavioral patterns. Identifying reliable brain imaging-based biomarkers for ASD has been a persistent…

Machine Learning · Computer Science 2024-09-30 Mehul Arora , Chirag Shantilal Jain , Lalith Bharadwaj Baru , Kamalaker Dadi , Bapi Raju Surampudi

Biomedical systems are regulated by interacting mechanisms that operate across multiple spatial and temporal scales and produce biosignals with linear and non-linear information inside. In this sense entropy could provide a useful measure…

Entropy maximization procedure has been a general practice in many diverse fields of science to obtain the concomitant probability distributions. The consistent use of the maximization procedure on the other hand requires the probability…

Statistical Mechanics · Physics 2018-10-17 Thomas Oikonomou , G. Baris Bagci

Topological data analysis (TDA) is an emerging technique for biological signal processing. TDA leverages the invariant topological features of signals in a metric space for robust analysis of signals even in the presence of noise. In this…

Algebraic Topology · Mathematics 2024-01-11 Shashank Manjunath , Jose A. Perea , Aarti Sathyanarayana

A two-parameter family of statistical measures of complexity are introduced based on the Tsallis-type nonadditive entropies. This provides a unified framework for the study of the recently proposed various measures of complexity as well as…

Statistical Mechanics · Physics 2009-09-29 Sumiyoshi Abe , P. T. Landsberg , A. R. Plastino , Takuya Yamano