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One way to model telecommunication networks are static Boolean models. However, dynamics such as node mobility have a significant impact on the performance evaluation of such networks. Consider a Boolean model in $\mathbb{R}^d$ and a random…

Probability · Mathematics 2021-12-24 Nils Aschenbruck , Stephan Bussmann , Hanna Döring

We study the stable attractors of a class of continuous dynamical systems that may be idealized as networks of Boolean elements, with the goal of determining which Boolean attractors, if any, are good approximations of the attractors of…

Molecular Networks · Quantitative Biology 2009-11-13 Johannes Norrell , Björn Samuelsson , Joshua E. S. Socolar

The robustness of an ecological network quantifies the resilience of the ecosystem it represents to species loss. It corresponds to the proportion of species that are disconnected from the rest of the network when extinctions occur…

Populations and Evolution · Quantitative Biology 2021-11-25 Saint-Clair Chabert-Liddell , Pierre Barbillon , Sophie Donnet

We reveal large fluctuations in the response of real multiplex networks to random damage of nodes. These results indicate that the average response to random damage, traditionally considered in mean-field approaches to percolation, is a…

Physics and Society · Physics 2018-12-26 Francesco Coghi , Filippo Radicchi , Ginestra Bianconi

Clustering network is one of which complex network attracting plenty of scholars to discuss and study the structures and cascading process. We primarily analyzed the effect of clustering coefficient to other various of the single clustering…

Physics and Society · Physics 2016-10-18 Gaogao Dong , Huifang Hao , Ruijin Du , Shuai Shao , H. Eugene. Stanley , Havlin Shlomo

In an increasingly connected world, the resilience of networked dynamical systems is important in the fields of ecology, economics, critical infrastructures, and organizational behaviour. Whilst we understand small-scale resilience well,…

Adaptation and Self-Organizing Systems · Physics 2018-08-21 Giannis Moutsinas , Weisi Guo

Diverse biological networks exhibit universal features distinguished from those of random networks, calling much attention to their origins and implications. Here we propose a minimal evolution model of Boolean regulatory networks, which…

Molecular Networks · Quantitative Biology 2014-11-26 Deok-Sun Lee

The functioning of a living cell is largely determined by the structure of its regulatory network, comprising non-linear interactions between regulatory genes. An important factor for the stability and evolvability of such regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Gunnar Boldhaus , Konstantin Klemm

Resilience of cyber-physical networks to unexpected failures is a critical need widely recognized across domains. For instance, power grids, telecommunication networks, transportation infrastructures and water treatment systems have all…

Systems and Control · Electrical Eng. & Systems 2024-02-19 Jean-Baptiste Bouvier , Sai Pushpak Nandanoori , Melkior Ornik

Complex diseases can be modeled as damage to intracellular networks that results in abnormal cell behaviors. Network-based dynamic models such as Boolean models have been employed to model a variety of biological systems including those…

Biological Physics · Physics 2016-12-30 Gang Yang , Colin Campbell , Réka Albert

Extreme events such as earthquakes, floods, and power blackouts often display burst phenomena where multiple extreme events occur in quick succession or in bunches. This study examines bunching of extreme events on a complex network using a…

Physics and Society · Physics 2025-09-24 Sarvesh K. Upadhyay , Vimal Kishore , Sanjay Kumar , R. E. Amritkar

Multiple dynamic pathways always exist in biological networks, but their robustness against internal fluctuations and relative stability have not been well recognized and carefully analyzed yet. Here we try to address these issues through…

Molecular Networks · Quantitative Biology 2015-11-27 Yongyi Guo , Zhiyi You , Min Qian , Hao Ge

In this work, we study the dynamical robustness in a system consisting of both active and inactive oscillators. We analytically show that the dynamical robustness of such system is determined by the cross link density between active and…

Adaptation and Self-Organizing Systems · Physics 2017-03-01 Wenwen Huang , Xiyun Zhang , Xin Hu , Zonghua Liu , Shuguang Guan

We study the intrinsic properties of attractors in the Boolean dynamics in complex network with scale-free topology, comparing with those of the so-called random Kauffman networks. We have numerically investigated the frozen and relevant…

Disordered Systems and Neural Networks · Physics 2007-08-21 Shu-ichi Kinoshita , Kazumoto Iguchi , Hiroaki S. Yamada

This short paper presents an abstract, tunable model of genomic structural change within the cell lifecycle and explores its use with simulated evolution. A well-known Boolean model of genetic regulatory networks is extended to include…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Larry Bull

The increasing complexity and interdependency of today's networks highlight the importance of studying network robustness to failure and attacks. Many large-scale networks are prone to cascading effects where a limited number of initial…

Social and Information Networks · Computer Science 2016-07-27 Khashayar Kamran , Edmund Yeh

The regulatory mechanisms driving progression of the yeast cell cycle appears to be comprised of an interacting network of transcription factors (TFs), cyclin-dependent kinases (CDK) and ubiquitin ligases. From a systems perspective the…

Dynamical Systems · Mathematics 2023-02-28 Julian Fox , Breschine Cummins , Robert C. Moseley , Marcio Gameiro , Steven B. Haase

Biological functions in living cells are controlled by protein interaction and genetic networks. These molecular networks should be dynamically stable against various fluctuations which are inevitable in the living world. In this paper, we…

Molecular Networks · Quantitative Biology 2009-11-13 Yuping Zhang , Minping Qian , Qi Ouyang , Minghua Deng , Fangting Li , Chao Tang

Feedback loops in a dynamic network play an important role in determining the dynamics of that network. Through a computational study, in this paper we show that networks with fewer independent negative feedback loops tend to exhibit more…

Quantitative Methods · Quantitative Biology 2009-11-13 Eduardo Sontag , Alan Veliz-Cuba , Reinhard Laubenbacher , Abdul Salam Jarrah

Adversarial robustness has received increasing attention along with the study of adversarial examples. So far, existing works show that robust models not only obtain robustness against various adversarial attacks but also boost the…

Machine Learning · Computer Science 2021-11-29 Yang Bai , Xin Yan , Yong Jiang , Shu-Tao Xia , Yisen Wang
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