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Recent studies have been using graph theoretical approaches to model complex networks (such as social, infrastructural or biological networks), and how their hardwired circuitry relates to their dynamic evolution in time. Understanding how…

Neurons and Cognition · Quantitative Biology 2015-07-17 Anca Radulescu

This article focuses on the problem of studying shared- and individual-specific structure in replicated networks or graph-valued data. In particular, the observed data consist of $n$ graphs, $G_i, i=1,\ldots,n$, with each graph consisting…

Computation · Statistics 2018-04-13 Lu Wang , Zhengwu Zhang , David Dunson

The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

Neurons and Cognition · Quantitative Biology 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo

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

Multimodal MRI offers complementary multi-scale information to characterize the brain structure. However, it remains challenging to effectively integrate multimodal MRI while achieving neuroscience interpretability. Here we propose to use…

Neurons and Cognition · Quantitative Biology 2025-12-15 Chengzhi Xia , Jianwei Chen , Yixuan Jiang , Qi Yan , Chao Li

With distinct advantages in power over behavioral phenotypes, brain imaging traits have become emerging endophenotypes to dissect molecular contributions to behaviors and neuropsychiatric illnesses. Among different imaging features, brain…

Applications · Statistics 2022-12-05 Yize Zhao , Changgee Chang , Jingwen Zhang , Zhengwu Zhang

The structural human connectome (i.e.\ the network of fiber connections in the brain) can be analyzed at ever finer spatial resolution thanks to advances in neuroimaging. Here we analyze several large data sets for the human brain network…

Neurons and Cognition · Quantitative Biology 2016-06-08 Michael T. Gastner , Géza Ódor

Our understanding of the structure of the brain and its relationships with human traits is largely determined by how we represent the structural connectome. Standard practice divides the brain into regions of interest (ROIs) and represents…

Applications · Statistics 2023-06-13 Rongjie Liu , Meng Li , David B. Dunson

Brain function emerges from coordinated activity across anatomically connected regions, where structural connectivity (SC) -- the network of white matter pathways - provides the physical substrate for functional connectivity (FC) -- the…

Neurons and Cognition · Quantitative Biology 2025-07-09 Sam Frank Kelemen , Joaquín Gõni , Sérgio Pequito , Arian Ashourvan

Many observables of brain dynamics appear to be optimized for computation. Which connectivity structures underlie this fine-tuning? We propose that many of these structures are naturally encoded in the space that more directly relates to…

Disordered Systems and Neural Networks · Physics 2023-09-18 Lorenzo Tiberi , David Dahmen , Moritz Helias

This work considers a continuous framework to characterize the population-level variability of structural connectivity. Our framework assumes the observed white matter fiber tract endpoints are driven by a latent random function defined…

Computation · Statistics 2022-07-19 William Consagra , Martin Cole , Zhengwu Zhang

The human connectome has become the very frequent subject of study of brain-scientists, psychologists, and imaging experts in the last decade. With diffusion magnetic resonance imaging techniques, unified with advanced data processing…

Neurons and Cognition · Quantitative Biology 2019-07-24 Mate Fellner , Balint Varga , Vince Grolmusz

The human brain is composed of distinct regions that are each associated with particular functions and distinct propensities for the control of neural dynamics. However, the relation between these functions and control profiles is poorly…

Neurons and Cognition · Quantitative Biology 2020-06-02 Evelyn Tang , Harang Ju , Graham L. Baum , David R. Roalf , Theodore D. Satterthwaite , Fabio Pasqualetti , Danielle S. Bassett

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…

In this work, we study the extent to which structural connectomes and topological derivative measures are unique to individual changes within human brains. To do so, we classify structural connectome pairs from two large longitudinal…

Neurons and Cognition · Quantitative Biology 2017-02-01 Dmitry Petrov , Boris Gutman , Alexander Ivanov , Joshua Faskowitz , Neda Jahanshad , Mikhail Belyaev , Paul Thompson

Diffusion Magnetic Resonance Imaging (MRI) exploits the anisotropic diffusion of water molecules in the brain to enable the estimation of the brain's anatomical fiber tracts at a relatively high resolution. In particular, tractographic…

Computational Engineering, Finance, and Science · Computer Science 2016-09-14 Yu Jin , Joseph F. JaJa , Rong Chen , Edward H. Herskovits

Intrinsic brain activity is characterized by highly structured co-activations between different regions, whose origin is still under debate. In this paper, we address the question whether it is possible to unveil how the underlying…

Complex numbers define the relationship between entities in many situations. A canonical example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics. Recent years have seen an increasing interest to extend the tools…

Social and Information Networks · Computer Science 2023-07-06 Yu Tian , Renaud Lambiotte

The evaluation of the individual 'fingerprint' of a human functional connectome (FC) is becoming a promising avenue for neuroscientific research, due to its enormous potential inherent to drawing single subject inferences from functional…

Neurons and Cognition · Quantitative Biology 2018-04-13 Enrico Amico , Joaquín Goñi

The anatomical structure of the brain can be observed via non-invasive techniques such as diffusion imaging. However, these are imperfect because they miss connections that are actually known to exist, especially long range…

Neurons and Cognition · Quantitative Biology 2015-02-25 Somwrita Sarkar , Sanjay Chawla , Donna Xu