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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

Neural network models in neuroscience allow one to study how the connections between neurons shape the activity of neural circuits in the brain. In this chapter, we study Combinatorial Threshold-Linear Networks (CTLNs) in order to…

Neurons and Cognition · Quantitative Biology 2018-04-05 Katherine Morrison , Carina Curto

Directionality is a fundamental feature of network connections. Most structural brain networks are intrinsically directed because of the nature of chemical synapses, which comprise most neuronal connections. Due to limitations of…

Neurons and Cognition · Quantitative Biology 2018-01-19 Penelope Kale , Andrew Zalesky , Leonardo L. Gollo

The brain is a complex organ characterized by heterogeneous patterns of structural connections supporting unparalleled feats of cognition and a wide range of behaviors. New noninvasive imaging techniques now allow these patterns to be…

Neurons and Cognition · Quantitative Biology 2020-04-03 Christopher W. Lynn , Danielle S. Bassett

Improvements in technique in conjunction with an evolution of the theoretical and conceptual approach to neuronal networks provide a new perspective on living neurons in culture. Organization and connectivity are being measured…

Disordered Systems and Neural Networks · Physics 2010-08-02 Jean-Pierre Eckmann , Ofer Feinerman , Leor Gruendlinger , Elisha Moses , Jordi Soriano , Tsvi Tlusty

The movement changes the underlying spatial representation of the participated mobile objects or nodes. In real world scenario, such mobile nodes can be part of any biological network, transportation network, social network, human…

Social and Information Networks · Computer Science 2024-07-29 Md. Arquam , Utkarsh Tiwari , Suchi Kumari

This paper describes how realistic neuromorphic networks can have their connectivity fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

Many link formation mechanisms for the evolution of social networks have been successful to reproduce various empirical findings in social networks. However, they have largely ignored the fact that individuals make decisions on whether to…

Physics and Society · Physics 2016-08-05 Hang-Hyun Jo , Eunyoung Moon

Rigid body interactions are fundamental to numerous scientific disciplines, but remain challenging to simulate due to their abrupt nonlinear nature and sensitivity to complex, often unknown environmental factors. These challenges call for…

Machine Learning · Computer Science 2025-07-28 Amaury Wei , Olga Fink

Network science enables the effective analysis of real interconnected systems, characterized by a complex interplay between topology and interconnections strength. It is well-known that the topology of a network affects its resilience to…

Physics and Society · Physics 2021-06-10 Giulia Bertagnolli , Riccardo Gallotti , Manlio De Domenico

The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of…

Discrete Mathematics · Computer Science 2020-12-08 Marzieh Eidi , Amirhossein Farzam , Wilmer Leal , Areejit Samal , Jürgen Jost

There has been huge interest in studying human brain connectomes inferred from different imaging modalities and exploring their relationship with human traits, such as cognition. Brain connectomes are usually represented as networks, with…

Machine Learning · Statistics 2021-09-14 Meimei Liu , Zhengwu Zhang , David B. Dunson

Missing link prediction in indirected and un-weighted network is an open and challenge problem which has been studied intensively in recent years. In this paper, we studied the relationships between community structure and link formation…

Social and Information Networks · Computer Science 2013-03-07 Zhen Liu , Jia-Lin He , Jaideep Srivastava

Recently, De Martino et al have presented a general framework for the study of transportation phenomena on complex networks. One of their most significant achievements was a deeper understanding of the phase transition from the uncongested…

Physics and Society · Physics 2013-05-30 Norbert Barankai , Attila Fekete , Gábor Vattay

Node-link diagrams are widely used to visualise networks. However, even the best network layout algorithms ultimately result in 'hairball' visualisations when the graph reaches a certain degree of complexity, requiring simplification…

Human-Computer Interaction · Computer Science 2021-03-25 Vahan Yoghourdjian , Yalong Yang , Tim Dwyer , Lee Lawrence , Michael Wybrow , Kim Marriott

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

The structure of real-world social networks in large part determines the evolution of social phenomena, including opinion formation, diffusion of information and influence, and the spread of disease. Globally, network structure is…

Social and Information Networks · Computer Science 2015-01-20 Sidharth Gupta , Xiaoran Yan , Kristina Lerman

The study of dynamical systems defined on complex networks provides a natural framework with which to investigate myriad features of neural dynamics, and has been widely undertaken. Typically, however, networks employed in theoretical…

Neurons and Cognition · Quantitative Biology 2013-02-22 Reuben O'Dea , Jonathan J. Crofts , Marcus Kaiser

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

We study expanding circle maps interacting in a heterogeneous random network. Heterogeneity means that some nodes in the network are massively connected, while the remaining nodes are only poorly connected. We provide a probabilistic…

Dynamical Systems · Mathematics 2013-08-27 Tiago Pereira , Sebastian van Strien , Jeroen S. W. Lamb