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Whole-brain computational modeling based on structural connectivity has shown great promise in successfully simulating fMRI BOLD signals with temporal co-activation patterns that are highly similar to empirical functional connectivity…

Neurons and Cognition · Quantitative Biology 2019-11-14 Neda Kaboodvand , Martijn P van den Heuvel , Peter Fransson

Experimental fMRI studies have shown that spontaneous brain activity i.e. in the absence of any external input, exhibit complex spatial and temporal patterns of co-activity between segregated brain regions. These so-called large-scale…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Vesna Vuksanović , Philipp Hövel

Task-free connectivity analyses have emerged as a powerful tool in functional neuroimaging. Because the cross-correlations that underlie connectivity measures are sensitive to distortion of time-series, here we used a novel dynamic phantom…

Neurons and Cognition · Quantitative Biology 2020-02-05 D. J. DeDora , S. Nedic , P. Katti , S. Arnab , L. L. Wald , A. Takahashi , K. R. A. Van Dijk , H. H. Strey , L. R. Mujica-Parodi

The human brain has been studied at multiple scales, from neurons, circuits, areas with well defined anatomical and functional boundaries, to large-scale functional networks which mediate coherent cognition. In a recent work, we addressed…

Biological Physics · Physics 2012-05-17 Lazaros K. Gallos , Mariano Sigman , Hernan A. Makse

Dynamic functional connectivity (DFC) analysis involves measuring correlated neural activity over time across multiple brain regions. Significant regional correlations among neural signals, such as those obtained from resting-state…

Human brains exhibit highly organized multiscale neurophysiological dynamics. Understanding those dynamic changes and the neuronal networks involved is critical for understanding how the brain functions in health and disease. Functional…

Neurons and Cognition · Quantitative Biology 2024-09-09 Manuel Morante , Kristian Frølich , Naveed ur Rehman

Resting-state functional MRI (rs-fMRI) is widely used to noninvasively study human brain networks. Network functional connectivity is often estimated by calculating the timeseries correlation between blood-oxygen-level dependent (BOLD)…

Quantitative Methods · Quantitative Biology 2017-01-25 Nan Xu , R. Nathan Spreng , Peter C. Doerschuk

We investigate the relationship of resting-state fMRI functional connectivity estimated over long periods of time with time-varying functional connectivity estimated over shorter time intervals. We show that using Pearson's correlation to…

Neurons and Cognition · Quantitative Biology 2016-09-08 Richard F. Betzel , Makoto Fukushima , Ye He , Xi-Nian Zuo , Olaf Sporns

Adaptive behavior, cognition and emotion are the result of a bewildering variety of brain spatiotemporal activity patterns. An important problem in neuroscience is to understand the mechanism by which the human brain's 100 billion neurons…

Neurons and Cognition · Quantitative Biology 2011-05-09 Paul Expert , Renaud Lambiotte , Dante R. Chialvo , Kim Christensen , Henrik Jeldtoft Jensen , David J. Sharp , Federico Turkheimer

The dynamics of swollen fractal networks (Rouse model) has been studied through computer simulations. The fluctuation-relaxation theorem was used instead of the usual Langevin approach to Brownian dynamics. We measured the equivalent of the…

Computational Physics · Physics 2014-07-30 Alvaro V. N. C. Teixeira , Pedro Licinio

Resting-state fMRI (rs-fMRI) functional connectivity (FC) analysis provides valuable insights into the relationships between different brain regions and their potential implications for neurological or psychiatric disorders. However,…

Image and Video Processing · Electrical Eng. & Systems 2023-11-20 Xiatian Zhang , Sisi Zheng , Hubert P. H. Shum , Haozheng Zhang , Nan Song , Mingkang Song , Hongxiao Jia

Resting-state functional MRI (rs-fMRI) is a rich imaging modality that captures spontaneous brain activity patterns, revealing clues about the connectomic organization of the human brain. While many rs-fMRI studies have focused on static…

Machine Learning · Computer Science 2019-08-20 Meenakshi Khosla , Keith Jamison , Amy Kuceyeski , Mert R. Sabuncu

Numerous network models have been investigated to gain insights into the origins of fractality. In this work, we introduce two novel network models, to better understand the growing mechanism and structural characteristics of fractal…

Social and Information Networks · Computer Science 2022-10-28 Enikő Zakar-Polyák , Marcell Nagy , Roland Molontay

The presence of large-scale real-world networks with various architectures has motivated an active research towards a unified understanding of diverse topologies of networks. Such studies have revealed that many networks with the scale-free…

Physics and Society · Physics 2023-08-16 Jun Yamamoto , Kousuke Yakubo

The influence of node functionality (f) on the fracture of polymer networks remains unclear. While many studies have focused on multi-functional nodes with f>4, recent research suggests that networks with f=3 exhibit superior fracture…

The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure--function issue, treating a system of Jansen--Rit neural-mass…

Neurons and Cognition · Quantitative Biology 2020-07-10 Michael Forrester , Stephen Coombes , Jonathan J. Crofts , Stamatios N. Sotiropoulos , Reuben D. O'Dea

We study the geometric properties of random neural networks by investigating the boundary volumes of their excursion sets for different activation functions, as the depth increases. More specifically, we show that, for activations which are…

Probability · Mathematics 2026-01-29 Simmaco Di Lillo , Domenico Marinucci , Michele Salvi , Stefano Vigogna

The functional features of spatial networks depend upon a non-trivial relationship between the topological and physical structure. Here, we explore that relationship for spatial networks with radial symmetry and disordered fractal…

Materials Science · Physics 2023-11-01 A. C. Flores-Ortega , J. R. Nicolás-Carlock , J. L. Carrillo-Estrada

Understanding the intricate architecture of brain networks and its connection to brain function is essential for deciphering the underlying principles of cognition and disease. While traditional graph-theoretical measures have been widely…

Chaotic Dynamics · Physics 2025-11-13 Anca Radulescu , Eva Kaslik , Alexandru Fikl , Johan Nakuci , Sarah Muldoon , Michael Anderson

The study of human dynamics has attracted much interest from many fields recently. In this paper, the fractal characteristic of human behaviors is investigated from the perspective of time series constructed with the amount of library…

Physics and Society · Physics 2015-05-20 Chao Fan , Jin-Li Guo , Yi-Long Zha