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Understanding the human brain remains the Holy Grail in biomedical science, and arguably in all of the sciences. Our brains represent the most complex systems in the world (and some contend the universe) comprising nearly one hundred…

Quantitative Methods · Quantitative Biology 2016-02-03 Sean L. Simpson , Paul J. Laurienti

This paper presents methods to analyze functional brain networks and signals from graph spectral perspectives. The notion of frequency and filters traditionally defined for signals supported on regular domains such as discrete time and…

Neurons and Cognition · Quantitative Biology 2016-11-03 Weiyu Huang , Leah Goldsberry , Nicholas F. Wymbs , Scott T. Grafton , Danielle S. Bassett , Alejandro Ribeiro

Already two decades passed since the first applications of graph theory to brain neuroimaging. Since that early description, the characterization of the brain as a very large interacting complex network has evolved in several directions. In…

Neurons and Cognition · Quantitative Biology 2021-12-21 Dante R. Chialvo , Ignacio Cifre , Jeremi K. Ochab

For the study of functional aspects of the brain network. This paper is a study on the hypergraph representation, based on the functional regions of the brain network. A new parameter that can measure how many multifunctioning regions each…

Neurons and Cognition · Quantitative Biology 2023-12-20 Anagha P , Selvakumar R

Graph theoretical approach has proved an effective tool to understand, characterize and quantify the complex brain network. However, much less attention has been paid to methods that quantitatively compare two graphs, a crucial issue in the…

Neurons and Cognition · Quantitative Biology 2019-08-29 Ahmad Mheich , Fabrice Wendling , Mahmoud Hassan

The human brain is a complex system, and understanding its mechanisms has been a long-standing challenge in neuroscience. The study of the functional connectome, which maps the functional connections between different brain regions, has…

Neural and Evolutionary Computing · Computer Science 2025-04-14 Tananun Songdechakraiwut , Yutong Wu

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

Graph theory is now becoming a standard tool in system-level neuroscience. However, endowing observed brain anatomy and dynamics with a complex network structure does not entail that the brain actually works as a network. Asking whether the…

Neurons and Cognition · Quantitative Biology 2024-12-24 D. Papo , J. M. Buldú

Activity in the human brain moves between diverse functional states to meet the demands of our dynamic environment, but fundamental principles guiding these transitions remain poorly understood. Here, we capitalize on recent advances in…

The application of graph theory to model the complex structure and function of the brain has shed new light on its organization and function, prompting the emergence of network neuroscience. Despite the tremendous progress that has been…

Signal Processing · Electrical Eng. & Systems 2020-09-29 Giulia Lioi , Vincent Gripon , Abdelbasset Brahim , François Rousseau , Nicolas Farrugia

Human brains lie at the core of complex neurobiological systems, where the neurons, circuits, and subsystems interact in enigmatic ways. Understanding the structural and functional mechanisms of the brain has long been an intriguing pursuit…

Neurons and Cognition · Quantitative Biology 2022-07-26 Hejie Cui , Wei Dai , Yanqiao Zhu , Xiaoxiao Li , Lifang He , Carl Yang

Graph theory has drawn a lot of attention in the field of Neuroscience during the last decade, mainly due to the abundance of tools that it provides to explore the interactions of elements in a complex network like the brain. The local and…

Neurons and Cognition · Quantitative Biology 2016-11-16 Sofia Ira Ktena , Sarah Parisot , Jonathan Passerat-Palmbach , Daniel Rueckert

Exploring the complex structure of the human brain is crucial for understanding its functionality and diagnosing brain disorders. Thanks to advancements in neuroimaging technology, a novel approach has emerged that involves modeling the…

Machine Learning · Computer Science 2024-06-06 Xuexiong Luo , Jia Wu , Jian Yang , Shan Xue , Amin Beheshti , Quan Z. Sheng , David McAlpine , Paul Sowman , Alexis Giral , Philip S. Yu

Many physical and biological systems can be studied using complex network theory, a new statistical physics understanding of graph theory. The recent application of complex network theory to the study of functional brain networks generated…

Neurons and Cognition · Quantitative Biology 2014-06-17 D. Papo , M. Zanin , J. A. Pineda-Pardo , S. Boccaletti , J. M. Buldú

What is the relationship between brain and behavior? The answer to this question necessitates characterizing the mapping between structure and function. The aim of this paper is to discuss broad issues surrounding the link between structure…

Neurons and Cognition · Quantitative Biology 2015-06-19 Luiz Pessoa

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

Functional networks representing human brain dynamics have become a standard tool in neuroscience, providing an accessible way of depicting the computation performed by the brain in healthy and pathological conditions. Yet, these networks…

Neurons and Cognition · Quantitative Biology 2025-05-26 Sofia Gil-Rodrigo , Raúl López-Martín , Görsev Yener , Jan R. Wiersema , Bahar Güntekin , Massimiliano Zanin

Understanding the evolution of brain functional networks over time is of great significance for the analysis of cognitive mechanisms and the diagnosis of neurological diseases. Existing methods often have difficulty in capturing the…

Machine Learning · Computer Science 2025-10-30 Tianqi Guo , Liping Chen , Ciyuan Peng , Jingjing Zhou , Jing Ren

Noninvasive medical neuroimaging has yielded many discoveries about the brain connectivity. Several substantial techniques mapping morphological, structural and functional brain connectivities were developed to create a comprehensive road…

Machine Learning · Computer Science 2022-09-30 Alaa Bessadok , Mohamed Ali Mahjoub , Islem Rekik

Functional connections in the brain are frequently represented by weighted networks, with nodes representing locations in the brain, and edges representing the strength of connectivity between these locations. One challenge in analyzing…

Applications · Statistics 2022-09-28 Yura Kim , Daniel Kessler , Elizaveta Levina
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