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For constructing neuronal network models computational neuroscientists have access to wide-ranging anatomical data that nevertheless tend to cover only a fraction of the parameters to be determined. Finding and interpreting the most…

In statistical connectomics, the quantitative study of brain networks, estimating the mean of a population of graphs based on a sample is a core problem. Often, this problem is especially difficult because the sample or cohort size is…

Large bundles of myelinated axons, called white matter, anatomically connect disparate brain regions together and compose the structural core of the human connectome. We recently proposed a method of measuring the local integrity along the…

Applications · Statistics 2018-09-18 Yo Joong Choe , Sivaraman Balakrishnan , Aarti Singh , Jean M. Vettel , Timothy Verstynen

This paper introduces a novel methodology to integrate human brain connectomics and parcellation for brain tumor segmentation and survival prediction. For segmentation, we utilize an existing brain parcellation atlas in the MNI152 1mm space…

Computer Vision and Pattern Recognition · Computer Science 2019-02-13 Po-Yu Kao , Thuyen Ngo , Angela Zhang , Jefferson W. Chen , B. S. Manjunath

The human connectome at the level of fiber tracts between brain regions has been shown to differ in patients with brain disorders compared to healthy control groups. Nonetheless, there is a potentially large number of different network…

Neurons and Cognition · Quantitative Biology 2013-10-16 Marcus Kaiser

One important question in neuroscience is how global behavior in a brain network emerges from the interplay between network connectivity and the neural dynamics of individual nodes. To better understand this theoretical relationship, we…

Neurons and Cognition · Quantitative Biology 2022-09-13 Anca Radulescu , Johan Nakuci , Simone Evans , Sarah Muldoon

Analyzing the brain in terms of organizational structures at intermediate scales provides an approach to negotiate the complexity arising from interactions between its large number of components. Focusing on a wiring diagram that spans the…

Neurons and Cognition · Quantitative Biology 2023-01-10 Anand Pathak , Shakti N. Menon , Sitabhra Sinha

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

Representation of brain network interactions is fundamental to the translation of neural structure to brain function. As such, methodologies for mapping neural interactions into structural models, i.e., inference of functional connectome…

Neurons and Cognition · Quantitative Biology 2022-03-18 Rahul Biswas , Eli Shlizerman

Structural connectivity in the brain is typically studied by reducing its observation to a single spatial resolution. However, the brain possesses a rich architecture organized over multiple scales linked to one another. We explored the…

Physics and Society · Physics 2020-09-07 Muhua Zheng , Antoine Allard , Patric Hagmann , Yasser Alemán-Gómez , M. Ángeles Serrano

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

Brain function and connectivity is a pressing mystery in medicine related to many diseases. Neural connectomes have been studied as graphs with graph theory methods including topological methods. Work has started on hypergraph models and…

Methodology · Statistics 2022-05-09 Michael G. Rawson

The brain's intricate connectome, a blueprint for its function, presents immense complexity, yet it arises from a compact genetic code, hinting at underlying low-dimensional organizational principles. This work bridges connectomics and…

Artificial Intelligence · Computer Science 2025-05-28 Yubin Li , Xingyu Liu , Guozhang Chen

Brain connectomics is still largely dominated by pairwise-based models, such as graphs, which cannot represent circulatory or higher-order functional interactions. In this paper, we propose a multimodal framework based on Topological Signal…

Neurons and Cognition · Quantitative Biology 2026-04-01 Breno C. Bispo , Stefania Sardellitti , Juliano B. Lima , Fernando A. N. Santos

A recent publication provides the network graph for a neocortical microcircuit comprising 8 million connections between 31,000 neurons (H. Markram, et al., Reconstruction and simulation of neocortical microcircuitry, Cell, 163 (2015) no. 2,…

Neurons and Cognition · Quantitative Biology 2017-06-13 Pawe Dotko , Kathryn Hess , Ran Levi , Max Nolte , Michael Reimann , Martina Scolamiero , Katharine Turner , Eilif Muller , Henry Markram

Real-world networks often benefit from capturing both local and global interactions. Inspired by multi-modal analysis in brain imaging, where structural and functional connectivity offer complementary views of network organization, we…

Neural and Evolutionary Computing · Computer Science 2025-08-11 Yang Li , Luopeiwen Yi , Tananun Songdechakraiwut

As more connectome data become available, the question of how to best analyse the structure of biological neural networks becomes increasingly pertinent. In brain networks, knowing that two areas are connected is often not sufficient, as…

Neurons and Cognition · Quantitative Biology 2024-01-30 Tanguy Fardet , Emmanouil Giannakakis , Lukas Paulun , Anna Levina

Understanding brain connectivity has become one of the most important issues in neuroscience. But connectivity data can reflect either the functional relationships of the brain activities or the anatomical properties between brain areas.…

Neurons and Cognition · Quantitative Biology 2015-04-13 Tiago Simas , Mario Chavez , Pablo Rodriguez , Albert Diaz-Guilera

It is nearly 20 years since the concept of a small-world network was first quantitatively defined, by a combination of high clustering and short path length; and about 10 years since this metric of complex network topology began to be…

Neurons and Cognition · Quantitative Biology 2016-08-22 Danielle S. Bassett , Edward T. Bullmore