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In this viewpoint article, we discuss the electric properties of the medium around neurons, which are important to correctly interpret extracellular potentials or electric field effects in neural tissue. We focus on how these electric…

Neurons and Cognition · Quantitative Biology 2017-03-02 Claude Bedard , Jean-Marie Gomes , Thierry Bal , Alain Destexhe

A complete understanding of the brain requires an integrated description of the numerous scales of neural organization. It means studying the interplay of genes, synapses, and even whole brain regions which ultimately leads to different…

Neurons and Cognition · Quantitative Biology 2022-08-09 Charley Presigny , Fabrizio De Vico Fallani

Graphs are quickly emerging as a leading abstraction for the representation of data. One important application domain originates from an emerging discipline called "connectomics". Connectomics studies the brain as a graph; vertices…

The human brain has a complex, intricate functional architecture. While many studies primarily emphasize pairwise interactions, delving into high-order associations is crucial for a comprehensive understanding of how functional brain…

Neurons and Cognition · Quantitative Biology 2023-10-30 Qiang Li , Vince D. Calhoun , Adithya Ram Ballem , Shujian Yu , Jesus Malo , Armin Iraji

We propose a framework for jointly modeling the geometry and functionality in high dimensional functional surfaces. The proposed mixed effects model characterizes effects of subject-specific covariates and exogenous stimuli on functional…

Applications · Statistics 2023-02-10 Jingjing Zou , Chi-Hua Chen , John A. D. Aston

Normative modelling is an increasingly common statistical technique in neuroimaging that estimates population-level benchmarks in brain structure. It enables the quantification of individual deviations from expected distributions whilst…

Neurons and Cognition · Quantitative Biology 2025-10-21 Nida Alyas , Jonathan Horsley , Bethany Little , Peter N. Taylor , Yujiang Wang , Karoline Leiberg

Understanding the cortical organization of the human brain requires interpretable descriptors for distinct structural and functional imaging data. 3D polarized light imaging (3D-PLI) is an imaging modality for visualizing fiber architecture…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Alexander Oberstrass , Jordan DeKraker , Nicola Palomero-Gallagher , Sascha E. A. Muenzing , Alan C. Evans , Markus Axer , Katrin Amunts , Timo Dickscheid

Neurons in the visual cortex are correlated in their variability. The presence of correlation impacts cortical processing because noise cannot be averaged out over many neurons. In an effort to understand the functional purpose of…

Machine Learning · Computer Science 2018-04-04 Shamak Dutta , Bryan Tripp , Graham Taylor

Being permanently confronted with an uncertain world, brains have faced evolutionary pressure to represent this uncertainty in order to respond appropriately. Often, this requires visiting multiple interpretations of the available…

Since gyri and sulci, two basic anatomical building blocks of cortical folding patterns, were suggested to bear different functional roles, a precise mapping from brain function to gyro-sulcal patterns can provide profound insights into…

Neurons and Cognition · Quantitative Biology 2022-05-24 Li Yang , Zhibin He , Changhe Li , Junwei Han , Dajiang Zhu , Tianming Liu , Tuo Zhang

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

Age is an important variable to describe the expected brain's anatomy status across the normal aging trajectory. The deviation from that normative aging trajectory may provide some insights into neurological diseases. In neuroimaging,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Huy-Dung Nguyen , Michaël Clément , Boris Mansencal , Pierrick Coupé

Autonomous neural systems must efficiently process information in a wide range of novel environments, which may have very different statistical properties. We consider the problem of how to optimally distribute receptors along a…

Neurons and Cognition · Quantitative Biology 2017-04-04 Marc W. Howard , Karthik H. Shankar

The scaling of the spatio-temporal response of coarsening systems is studied through simulations of the 2D and 3D Ising model with Glauber dynamics. The scaling functions agree with the prediction of local scale invariance, extending…

Statistical Mechanics · Physics 2016-08-31 Malte Henkel , Michel Pleimling

Many AI models trained on natural images develop representations that resemble those of the human brain. However, the factors that drive this brain-model similarity remain poorly understood. To disentangle how the model, training and data…

Artificial Intelligence · Computer Science 2025-08-26 Joséphine Raugel , Marc Szafraniec , Huy V. Vo , Camille Couprie , Patrick Labatut , Piotr Bojanowski , Valentin Wyart , Jean-Rémi King

The human brain is organized as a complex network, where connections between regions are characterized by both functional connectivity (FC) and structural connectivity (SC). While previous studies have primarily focused on network-level…

Assessing brain development for small infants is important for determining how the human brain grows during the early period of life when the rate of brain growth is at its peak. The development of MRI techniques has enabled the…

Applications · Statistics 2018-06-27 Alexander Petersen , Sean Deoni , Hans-Georg Müller

The accurate quantification of brain age from MRI has emerged as an important biomarker of brain health. However, existing approaches are often restricted to narrow age ranges and single-modality MRI data, limiting their capacity to capture…

Image and Video Processing · Electrical Eng. & Systems 2026-04-21 Dingyi Zhang , Ruiying Liu , Yun Wang

City is proved to be a scale-free phenomenon, and spatial autocorrelation is often employed to analyze spatial redundancy of cities. Unfortunately, spatial analysis results deviated practical requirement in many cases due to fractal nature…

Physics and Society · Physics 2023-08-09 Meng Fu , Yanguang Chen

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