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The rapidly developing theory of complex networks indicates that real networks are not random, but have a highly robust large-scale architecture, governed by strict organizational principles. Here, we focus on the properties of biological…

Molecular Networks · Quantitative Biology 2007-05-23 E. Almaas , A. -L. Barabasi

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

The need to build a link between the structure of a complex network and the dynamical properties of the corresponding complex system (comprised of multiple low dimensional systems) has recently become apparent. Several attempts to tackle…

Chaotic Dynamics · Physics 2012-06-18 Michael Small , Kevin Judd , Thomas Stemler

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Bornholdt , Thimo Rohlf

Networked structure emerged from a wide range of fields such as biological systems, World Wide Web and technological infrastructure. A deeply insight into the topological complexity of these networks has been gained. Some works start to pay…

Physics and Society · Physics 2012-02-03 Jiang Xiongfei

The network of interactions in complex systems, strongly influences their resilience, the system capability to resist to external perturbations or structural damages and to promptly recover thereafter. The phenomenon manifests itself in…

Physics and Society · Physics 2018-04-11 Malbor Asllani , Timoteo Carletti

Network structure strongly constrains the range of dynamic behaviors available to a complex system. These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matti Nykter , Nathan D. Price , Antti Larjo , Tommi Aho , Stuart A. Kauffman , Olli Yli-Harja , Ilya Shmulevich

Networks are pervasive in the real world. Nature, society, economy, and technology are supported by ostensibly different networks that in fact share an amazing number of interesting structural properties. Network thinking exploded in the…

Logic in Computer Science · Computer Science 2010-03-19 Massimo Franceschet

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

Complex networks are ubiquitous in nature and play a role of paramount importance in many contexts. Internet and the cyberworld, which permeate our everyday life, are self-organized hierarchical graphs. Urban traffic flows on intricate road…

Physics and Society · Physics 2014-08-08 Francesca Di Patti , Duccio Fanelli , Francesco Piazza

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

Molecular Networks · Quantitative Biology 2007-09-12 Reka Albert

In this study, we performed comprehensive morphological investigations of the spontaneous formations of effective network structures among elements in coupled logistic maps, specifically with a delayed connection change. Our proposed model…

Adaptation and Self-Organizing Systems · Physics 2020-12-02 Amika Ohara , Masashi Fujii , Akinori Awazu

Despite their topological complexity almost all functional properties of metabolic networks can be derived from steady-state dynamics. Indeed, many theoretical investigations (like flux-balance analysis) rely on extracting function from…

Molecular Networks · Quantitative Biology 2009-11-13 Carsten Marr , Mark Mueller-Linow , Marc-Thorsten Huett

Network science provides an indispensable theoretical framework for studying the structure and function of real complex systems. Different network models are often used for finding the rules that govern their evolution, whereby the correct…

Physics and Society · Physics 2020-09-02 Ana Vranić , Marija Mitrović Dankulov

Biomolecular networks have already found great utility in characterizing complex biological systems arising from pair-wise interactions amongst biomolecules. Here, we review how graph theoretical approaches can be applied not only for a…

Molecular Networks · Quantitative Biology 2018-12-03 Heeralal Janwa , Steven E. Massey , Julian Velev , Bud Mishra

Constraints placed upon the phenotypes of organisms result from their interactions with the environment. Over evolutionary timescales, these constraints feed back onto smaller molecular subnetworks comprising the organism. The evolution of…

Molecular Networks · Quantitative Biology 2015-06-10 Cameron Smith , Ximo Pechuan , Raymond S. Puzio , Daniel Biro , Aviv Bergman

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 V. Botella-Soler , P. Glendinning

Recurrent neural networks are frequently studied in terms of their information-processing capabilities. The structural properties of these networks are seldom considered, beyond those emerging from the connectivity tuning necessary for…

Molecular Networks · Quantitative Biology 2025-02-20 Maria Sol Vidal-Saez , Jordi Garcia-Ojalvo

Networks of elastic fibers are ubiquitous in biological systems and often provide mechanical stability to cells and tissues. Fiber reinforced materials are also common in technology. An important characteristic of such materials is their…