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Related papers: Fractal-driven distortion of resting state functio…

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The brain's functional connectivity fluctuates over time instead of remaining steady in a stationary mode even during the resting state. This fluctuation establishes the dynamical functional connectivity that transitions in a non-random…

Neurons and Cognition · Quantitative Biology 2022-03-28 Shikuang Deng , Jingwei Li , B. T. Thomas Yeo , Shi Gu

Fractal behavior and long-range dependence have been observed in an astonishing number of physical systems. Either phenomenon has been modeled by self-similar random functions, thereby implying a linear relationship between fractal…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Tilmann Gneiting , Martin Schlather

Functional magnetic resonance imaging (fMRI) provides an indirect measurement of neuronal activity via hemodynamic responses that vary across brain regions and individuals. Ignoring this hemodynamic variability can bias downstream…

Image and Video Processing · Electrical Eng. & Systems 2026-01-26 William Consagra , Eardi Lila

Sleep disorder is a serious global public health issue, with cognitive-emotional dysfunction being a core symptom. The analysis of multimodal MRI data provides an effective method for detecting sleep deprivation-induced neural network…

Neurons and Cognition · Quantitative Biology 2025-12-02 Mengyuan Liu , Jing Hu , Zhenzhen Ru , Ruomeng Quan , Xu Zhang , Ning Qiang , Jin Li

The functional network approach, where fMRI BOLD time series are mapped to networks depicting functional relationships between brain areas, has opened new insights into the function of the human brain. In this approach, the choice of…

Neurons and Cognition · Quantitative Biology 2017-11-10 Onerva Korhonen , Heini Saarimäki , Enrico Glerean , Mikko Sams , Jari Saramäki

Resting-state functional magnetic resonance imaging (rs-fMRI) can reflect spontaneous neural activities in brain and is widely used for brain disorder analysis.Previous studies propose to extract fMRI representations through diverse…

Quantitative Methods · Quantitative Biology 2023-06-27 Qianqian Wang , Wei Wang , Yuqi Fang , P. -T. Yap , Hongtu Zhu , Hong-Jun Li , Lishan Qiao , Mingxia Liu

Parkinson disease (PD) is marked by progressive neurodegeneration, yet early and subtle structural alterations in brain tissue remain difficult to detect with conventional imaging and analytical methods. Fractal and multifractal frameworks…

Medical Physics · Physics 2025-12-09 Santanu Maity , Mousa Alrubayan , Mohammad Moshahid Khan , Prabhakar Pradhan

Human brain functional connectivity (FC) is often measured as the similarity of functional MRI responses across brain regions when a brain is either resting or performing a task. This paper aims to statistically analyze the dynamic nature…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

Elucidating the intricate relationship between brain structure and function, both in healthy and pathological conditions, is a key challenge for modern neuroscience. Recent technical and methodological progress in neuroimaging has helped…

Neurons and Cognition · Quantitative Biology 2015-05-01 Ibai Diez , Paolo Bonifazi , Iñaki Escudero , Beatriz Mateos , Miguel A. Muñoz , Sebastiano Stramaglia , Jesus M. Cortes

Analysis of brain activity in resting-state is of fundamental importance in identifying functional characteristics of neuronal system. Although resting brain has been extensively investigated for low frequency synchrony between brain…

Neurons and Cognition · Quantitative Biology 2012-01-04 Shahab Kadkhodaeian Bakhtiari , Gholam-Ali Hossein-Zadeh

Working memory (WM) allows information to be stored and manipulated over short time scales. Performance on WM tasks is thought to be supported by the frontoparietal system (FPS), the default mode system (DMS), and interactions between them.…

Neurons and Cognition · Quantitative Biology 2020-09-09 Andrew C. Murphy , Maxwell A. Bertolero , Lia Papadopoulos , David M. Lydon-Staley , Danielle S. Bassett

To help understand the underlying mechanisms of neural networks (NNs), several groups have, in recent years, studied the number of linear regions $\ell$ of piecewise linear functions generated by deep neural networks (DNN). In particular,…

Machine Learning · Computer Science 2019-05-28 Nadav Dym , Barak Sober , Ingrid Daubechies

While scale invariance is commonly observed in each component of real world multivariate signals, it is also often the case that the inter-component correlation structure is not fractally connected, i.e., its scaling behavior is not…

Statistics Theory · Mathematics 2017-09-13 Herwig Wendt , Gustavo Didier , Sébastien Combrexelle , Patrice Abry

Standard detection of evoked brain activity in functional MRI (fMRI) relies on a fixed and known shape of the impulse response of the neurovascular coupling, namely the hemodynamic response function (HRF). To cope with this issue, the joint…

Applications · Statistics 2015-01-07 Aina Frau-Pascual , Thomas Vincent , Florence Forbes , Philippe Ciuciu

Functional connectivity (FC) derived from resting-state fMRI is widely used to characterize large-scale brain network alterations in neurological and psychiatric disorders. However, FC construction critically depends on the choice of brain…

Neurons and Cognition · Quantitative Biology 2026-05-11 Minheng Chen , Chao Cao , Jing Zhang , Tianming Liu , Dajiang Zhu

Understanding how spontaneous brain activity relates to stimulus-driven neural responses is a fundamental challenge in cognitive neuroscience. While task-based functional magnetic resonance imaging (fMRI) captures localized stimulus-evoked…

Neurons and Cognition · Quantitative Biology 2025-09-18 Chuyang Zhou , Ziao Ji , Daochang Liu , Dongang Wang , Chenyu Wang , Chang Xu

Dynamical systems in nature such as fluid flows, heart beat patterns, rainfall variability, stock market price fluctuations, etc. exhibit selfsimilar fractal fluctuations on all scales in space and time. Power spectral analyses of fractal…

General Physics · Physics 2007-05-23 A. M. Selvam

This paper studies change-points in human brain functional connectivity (FC) and seeks patterns that are common across multiple subjects under identical external stimulus. FC relates to the similarity of fMRI responses across different…

Neurons and Cognition · Quantitative Biology 2020-03-05 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

We investigate neuronal excitability in the Hodgkin-Huxley model under temporal interference (TI) stimulation in a previously unexplored sub-Hz resonant regime and uncover a striking nonlinear response that we term 'multi-tongue frequency…

Pattern Formation and Solitons · Physics 2026-01-21 Madhurendra Mishra , Zhen Qi , Adarsh Ganesan