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This article describes the application of recently introduced complex networks concepts and methods to the characterization and analysis of cortical bone structure. Three-dimensional reconstructions of the system of channels underlying bone…

Tissues and Organs · Quantitative Biology 2007-05-23 Luciano da Fontoura Costa , Matheus Palhares Viana , Marcelo Emilio Beletti

The increasing interest in complex networks research has been a consequence of several intrinsic features of this area, such as the generality of the approach to represent and model virtually any discrete system, and the incorporation of…

Complex dynamical networks consisting of many components that interact and produce each other are difficult to understand, especially, when new components may appear. In this paper we outline a theory to deal with such systems. The theory…

Molecular Networks · Quantitative Biology 2007-06-13 Peter Dittrich , Pietro Speroni di Fenizio

We develop Spectral-Operator Calculus (SOC), an axiomatic calculus for scalar evaluation of operator-generated spectral observables. This paper (SOC-I) treats the self-adjoint setting, where observables are bounded Borel transforms and…

Functional Analysis · Mathematics 2025-12-29 John Homer

A model for the generation of fractal growth networks in Euclidean spaces of arbitrary dimension is presented. These networks are considered as the spatial support of reaction-diffusion and pattern formation processes. The local dynamics at…

Pattern Formation and Solitons · Physics 2009-11-10 K. Tucci , M. G. Cosenza

A complex network approach on a rough fracture is developed. In this manner, some hidden metric spaces (similarity measurements) between apertures profiles are set up and a general evolutionary network in two directions (in parallel and…

Adaptation and Self-Organizing Systems · Physics 2009-05-12 H. O. Ghaffari , M. Sharifzadeh , M. Fall , E. Evgin

In this paper, we develop the themes presented at the 2003 Joint Complexity Conference at the London School of Economics and subsequently published in The Intelligencer (2004) and O Tempo Das Redes (2008). Following the data analysis of the…

Physics and Society · Physics 2014-05-28 Philip Vos Fellman , Roxana Wright

Evolution produces complex and structured networks of interacting components in chemical, biological, and social systems. We describe a simple mathematical model for the evolution of an idealized chemical system to study how a network of…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Sanjay Jain , Sandeep Krishna

Communication networks involve the transmission and reception of large volumes of data. Research indicates that network traffic volumes will continue to increase. These traffic volumes will be unprecedented and the behaviour of global…

Human-Computer Interaction · Computer Science 2017-12-01 Paul Vickers , Chris Laing , Tom Fairfax

We introduce a design strategy for neural network macro-architecture based on self-similarity. Repeated application of a simple expansion rule generates deep networks whose structural layouts are precisely truncated fractals. These networks…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Gustav Larsson , Michael Maire , Gregory Shakhnarovich

The fractal and self-similarity properties are revealed in many real complex networks. However, the classical information dimension of complex networks is not practical for real complex networks. In this paper, a new information dimension…

Social and Information Networks · Computer Science 2015-06-17 Daijun Wei , Bo Wei , Yong Hu , Haixin Zhang , Yong Deng

Online social dynamics based on human endeavours exhibit prominent complexity in the emergence of new features embodied in the appearance of collective social values. The vast amount of empirical data collected at various websites provides…

Physics and Society · Physics 2019-01-30 Bosiljka Tadic

Graph Theoretic Process Network Synthesis is described as an introduction to biological networks. Genetic, protein and metabolic systems are considered. The theoretical work of Kauffman is discussed and amplified by critical property…

Biological Physics · Physics 2007-05-23 L. Papp , S. Bumble , F. Friedler , L. T. Fan

Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, but also beneficial for the functioning of a variety of systems. We here consider an adaptive network of oscillators with a stochastic, fitness-based, rule of…

Physics and Society · Physics 2016-06-08 Young-Ho Eom , Stefano Boccaletti , Guido Caldarelli

This work concerns a many-body deterministic model that displays life-like properties as emergence, complexity, self-organization, spontaneous compartmentalization, and self-regulation. The model portraits the dynamics of an ensemble of…

Adaptation and Self-Organizing Systems · Physics 2023-07-11 Alessandro Scirè , Valerio Annovazzi-Lodi

Human social behavior is organized in stratified, hierarchical networks, with a support group with about 5 members, expanding proportionally at each layer up to a maximum of approximately 150 frequent interactions per individual. This is…

Physics and Society · Physics 2025-10-20 Airton Deppman

Recent advancements in the synthesis of anisotropic macromolecules and nanoparticles have spurred an immense interest in theoretical and computational studies of self-assembly. The cornerstone of such studies is the role of shape in…

Materials Science · Physics 2015-10-30 Amir Haji-Akbari , Sharon C. Glotzer

It is proposed, that color-singlet gluon-clusters can be formed in hadrons as a consequence of self-organized criticality (SOC) in systems of interacting soft gluons, and that the properties of such spatiotemporal complexities can be probed…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Boros , Meng Ta-chung , R. Rittel , Zhang Yang

We study collaboration networks in terms of evolving, self-organizing bipartite graph models. We propose a model of a growing network, which combines preferential edge attachment with the bipartite structure, generic for collaboration…

Statistical Mechanics · Physics 2009-11-10 Jose J. Ramasco , S. N. Dorogovtsev , Romualdo Pastor-Satorras

Phase transitions and critical behavior are crucial issues both in theoretical and experimental neuroscience. We report analytic and computational results about phase transitions and self-organized criticality (SOC) in networks with general…

Adaptation and Self-Organizing Systems · Physics 2016-10-07 L. Brochini , A. A. Costa , M. Abadi , A. C. Roque , J. Stolfi , O. Kinouchi