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We study the topological properties of functional connectivity patterns among cortical areas in the frequency domain. The cortical networks were estimated from high-resolution EEG recordings in a group of spinal cord injured patients and in…

Quantitative Methods · Quantitative Biology 2015-05-13 Roberta Sinatra , Fabrizio De Vico Fallani , Laura Astolfi , Fabio Babiloni , Febo Cincotti , Vito Latora , Donatella Mattia

Brain structural networks are often represented as discrete adjacency matrices with elements summarizing the connectivity between pairs of regions of interest (ROIs). These ROIs are typically determined a-priori using a brain atlas. The…

Computation · Statistics 2023-08-11 William Consagra , Martin Cole , Xing Qiu , Zhengwu Zhang

High-throughput methods for yielding the set of connections in a neural system, the connectome, are now being developed. This tutorial describes ways to analyze the topological and spatial organization of the connectome at the macroscopic…

Neurons and Cognition · Quantitative Biology 2011-12-23 Marcus Kaiser

The connectome, a map of the structural and/or functional connections in the brain, provides a complex representation of the neurobiological phenotypes on which it supervenes. This information-rich data modality has the potential to…

White matter structures composed of myelinated axons in the living human brain are primarily studied by diffusion-weighted MRI (dMRI). These long-range projections are typically characterized in a two-step process: dMRI is used to estimate…

Neurons and Cognition · Quantitative Biology 2017-10-09 Matthew Cieslak , Tegan Brennan , Wendy Meiring , Lukas J. Volz , Clint Greene , Alexander Asturias , Subhash Suri , Scott T. Grafton

The characterisation of the brain as a "connectome", in which the connections are represented by correlational values across timeseries and as summary measures derived from graph theory analyses, has been very popular in the last years.…

Machine Learning · Computer Science 2020-03-13 Tiago Azevedo , Luca Passamonti , Pietro Liò , Nicola Toschi

Recent developments in network neuroscience have highlighted the importance of developing techniques for analyzing and modeling brain networks. A particularly powerful approach for studying complex neural systems is to formulate generative…

Neurons and Cognition · Quantitative Biology 2022-09-09 Viplove Arora , Enrico Amico , Joaquín Goñi , Mario Ventresca

At the inception of human brain mapping, two principles of functional anatomy underwrote most conceptions - and analyses - of distributed brain responses: namely functional segregation and integration. There are currently two main…

Neurons and Cognition · Quantitative Biology 2020-07-21 Karl J. Friston , Erik D. Fagerholm , Tahereh S. Zarghami , Thomas Parr , Inês Hipólito , Loïc Magrou , Adeel Razi

The human brain is a complex system defined by multi-way, higher-order interactions invisible to traditional pairwise network models. Although a diverse array of analytical methods has been developed to address this shortcoming, the field…

Quantitative Methods · Quantitative Biology 2025-11-11 Mohamma Reza Salehi , Ali BashirGonbadi , Hamid Soltanian-Zadeh

Recent studies proposed the use of Total Correlation to describe functional connectivity among brain regions as a multivariate alternative to conventional pair-wise measures such as correlation or mutual information. In this work we build…

Neurons and Cognition · Quantitative Biology 2022-11-28 Qiang Li , Greg Ver Steeg , Shujian Yu , Jesus Malo

In this work we focus on examination and comparison of whole-brain functional connectivity patterns measured with fMRI across experimental conditions. Direct examination and comparison of condition-specific matrices is challenging due to…

Applications · Statistics 2013-01-02 Svetlana V. Shinkareva , Vladimir Gudkov , Jing Wang

In this paper we develop a probabilistic micro-scale compartmental model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is moved in the axons of neurons. By directly modeling the…

Biological Physics · Physics 2011-05-24 Lea Popovic , Scott A. McKinley , Michael C. Reed

One of the crucial questions in neuroscience is how a rich functional repertoire of brain states relates to its underlying structural organization. How to study the associations between these structural and functional layers is an open…

Neurons and Cognition · Quantitative Biology 2018-02-22 Enrico Amico , Joaquín Goñi

Our goal in this paper is to leverage the potential of the topological signal processing (TSP) framework for analyzing brain networks. Representing brain data as signals over simplicial complexes allows us to capture higher-order…

Signal Processing · Electrical Eng. & Systems 2025-04-11 Breno C. Bispo , Stefania Sardellitti , Fernando A. N. Santos , Juliano B. Lima

Functional brain network (FBN) modeling often relies on local pairwise interactions, whose limitation in capturing high-order dependencies is theoretically analyzed in this paper. Meanwhile, the computational burden and heuristic nature of…

Machine Learning · Computer Science 2025-10-13 Ling Zhan , Junjie Huang , Xiaoyao Yu , Wenyu Chen , Tao Jia

Brain fiber tracts are widely used in studying brain diseases, which may lead to a better understanding of how disease affects the brain. The segmentation of brain fiber tracts assumed enormous importance in disease analysis. In this paper,…

Neurons and Cognition · Quantitative Biology 2020-11-04 Chaoqing Xu , Guodao Sun , Ronghua Liang , Xiufang Xu

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

Methodology · Statistics 2025-12-18 Matteo Mori , Laura Anderlucci

Diffusion magnetic resonance imaging (dMRI) data allow to reconstruct the 3D pathways of axons within the white matter of the brain as a tractography. The analysis of tractographies has drawn attention from the machine learning and pattern…

Machine Learning · Statistics 2015-04-03 Emanuele Olivetti , Thien Bao Nguyen , Paolo Avesani

Network science has been extensively developed to characterize structural properties of complex systems, including brain networks inferred from neuroimaging data. As a result of the inference process, networks estimated from experimentally…

Neurons and Cognition · Quantitative Biology 2017-03-10 Catalina Obando , Fabrizio De Vico Fallani

Functional connectomes capture brain interactions via synchronized fluctuations in the functional magnetic resonance imaging signal. If measured during rest, they map the intrinsic functional architecture of the brain. With task-driven…

Neurons and Cognition · Quantitative Biology 2013-04-16 Gaël Varoquaux , R. C. Craddock
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