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Brain networks are typically represented by adjacency matrices, where each node corresponds to a brain region. In traditional brain network analysis, nodes are assumed to be matched across individuals, but the methods used for node matching…

Methodology · Statistics 2025-03-21 Martin Cole , Yang Xiang , Will Consagra , Anuj Srivastava , Xing Qiu , Zhengwu Zhang

Learning and memory may rely on the ability of neuronal circuits to reorganize by dendritic spine remodeling. We have looked for geometrical parameters of cortical circuits, which maximize information storage capacity associated with this…

Biological Physics · Physics 2007-05-23 Armen Stepanyants

Functional magnetic resonance imaging (fMRI) is used to extract {\em functional networks} connecting correlated human brain sites. Analysis of the resulting networks in different tasks shows that: (a) the distribution of functional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Victor M. Eguiluz , Dante R. Chialvo , Guillermo A. Cecchi , Marwan Baliki , A. Vania Apkarian

The cerebral cortex is composed of multiple cortical areas that exert a wide variety of brain functions. Although human brain neurons are genetically and areally mosaic, the three-dimensional structural differences between neurons in…

An important field of research in functional neuroimaging is the discovery of integrated, distributed brain systems and networks, whose different regions need to work in unison for normal functioning. The EEG is a non-invasive technique…

Databases of directed- and weighted- connectivity for mouse, macaque and marmoset monkeys, have recently become available and begun to be used to build dynamical models. A hierarchical organization can be defined based on laminar patterns…

Neurons and Cognition · Quantitative Biology 2020-08-11 Xiao-Jing Wang , Ulises Pereira , Marcello G. P. Rosa , Henry Kennedy

Measuring functional connectivity from fMRI is important in understanding processing in cortical networks. However, because brain's connection pattern is complex, currently used methods are prone to produce false connections. We introduce…

Neurons and Cognition · Quantitative Biology 2020-06-23 Tiger w. Lin , Giri P. Krishnan , Maxim Bazhenov , Terrence J. Sejnowski

BCI systems are able to communicate directly between the brain and computer using neural activity measurements without the involvement of muscle movements. For BCI systems to be widely used by people with severe disabilities, long-term…

Human-Computer Interaction · Computer Science 2023-05-31 Krishna Pai , Rakhee Kallimani , Sridhar Iyer , B. Uma Maheswari , Rajashri Khanai , Dattaprasad Torse

Supplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas Petermann , Paolo De Los Rios

A critical visual computation is to construct global scene properties from activities of early visual cortical neurons which have small receptive fields. Such a computation is enabled by contextual influences, through which a neuron's…

Neurons and Cognition · Quantitative Biology 2026-04-07 Li Zhaoping

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

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

Neurons and Cognition · Quantitative Biology 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel

We introduce the concept of communicability angle between a pair of nodes in a graph. We provide strong analytical and empirical evidence that the average communicability angle for a given network accounts for its spatial efficiency on the…

Physics and Society · Physics 2015-07-30 Ernesto Estrada , Naomichi Hatano

I consider a topographic projection between two neuronal layers with different densities of neurons. Given the number of output neurons connected to each input neuron (divergence) and the number of input neurons synapsing on each output…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dmitri B. Chklovskii

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

The brain is immensely complex, with diverse components and dynamic interactions building upon one another to orchestrate a wide range of functions and behaviors. Understanding patterns of these complex interactions and how they are…

Neurons and Cognition · Quantitative Biology 2024-08-06 Suman Kulkarni , Dani S. Bassett

Artificial and biological systems may evolve similar computational solutions despite fundamental differences in architecture and learning mechanisms -- a form of convergent evolution. We demonstrate this phenomenon through large-scale…

Neurons and Cognition · Quantitative Biology 2025-07-04 Guobin Shen , Dongcheng Zhao , Yiting Dong , Qian Zhang , Yi Zeng

This work is inspired by the problem of characterizing a dependence measure between two cortical regions of the brain where each region contains multiple signal recordings from several neurons or channels (e.g., inhibitory and excitatory…

Brain is one of the most energy demanding organs in mammals, and its total metabolic rate scales with brain volume raised to a power of around 5/6. This value is significantly higher than the more common exponent 3/4 relating whole body…

Neurons and Cognition · Quantitative Biology 2011-11-16 Jan Karbowski

Realistic modeling of brain involves large number of neurons. The important question is how this size affects transmission efficiency? Here, these issue is studied in terms of Shannon's Theory. Mutual Information between input and output…

Neurons and Cognition · Quantitative Biology 2023-07-26 Bartosz Paprocki , Agnieszka Pregowska , Janusz Szczepanski
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