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We define a measure of coherent activity for gene regulatory networks, a property that reflects the unity of purpose between the regulatory agents with a common target. We propose that such harmonious regulatory action is desirable under a…

Quantitative Methods · Quantitative Biology 2015-07-30 Nese Aral , Alkan Kabakcioglu

Complex evolving systems such as the biosphere, ecosystems and societies exhibit sudden collapses, for reasons that are only partially understood. Here we study this phenomenon using a mathematical model of a system that evolves under…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Ravi Mehrotra , Vikram Soni , Sanjay Jain

Active turbulence, or chaotic self-organized collective motion, is often observed in concentrated suspensions of motile bacteria and other systems of self-propelled interacting agents. To date, there is no fundamental understanding of how…

Soft Condensed Matter · Physics 2024-07-09 Daiki Nishiguchi , Sora Shiratani , Kazumasa A. Takeuchi , Igor S. Aranson

Bistability plays a central role in the gene regulatory networks (GRNs) controlling many essential biological functions, including cellular differentiation and cell cycle control. However, establishing the network topologies that can…

Molecular Networks · Quantitative Biology 2015-03-19 Dan Siegal-Gaskins , Maria Katherine Mejia-Guerra , Gregory D. Smith , Erich Grotewold

One of the defining features of living systems is their adaptability to changing environmental conditions. This requires organisms to extract temporal and spatial features of their environment, and use that information to compute the…

Neurons and Cognition · Quantitative Biology 2024-02-27 Maria Sol Vidal-Saez , Oscar Vilarroya , Jordi Garcia-Ojalvo

From the perspective of network analysis, the ubiquitous networks are comprised of regular and irregular components, which makes uncovering the complexity of network structures to be a fundamental challenge. Exploring the regular…

Social and Information Networks · Computer Science 2018-08-30 Tao Wu , Shaojie Qiao , Xingping Xian , Xi-Zhao Wang , Wei Wang , Yanbing Liu

Robustness is a basic property of any control system. In the context of linear output regulation, it was proved that embedding an internal model of the exogenous signals is necessary and sufficient to achieve tracking of the desired…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Michelangelo Bin , Daniele Astolfi , Lorenzo Marconi

Control of the living cell functions with remarkable reliability despite the stochastic nature of the underlying molecular networks -- a property presumably optimized by biological evolution. We here ask to what extent the property of a…

Molecular Networks · Quantitative Biology 2009-11-13 Stefan Braunewell , Stefan Bornholdt

Just like power, water, and transportation systems, wireless networks are a crucial societal infrastructure. As natural and human-induced disruptions continue to grow, wireless networks must be resilient. This requires them to withstand and…

Networking and Internet Architecture · Computer Science 2025-07-01 Mehdi Bennis , Sumudu Samarakoon , Tamara Alshammari , Chathuranga Weeraddana , Zhoujun Tian , Chaouki Ben Issaid

The well-known issue of reconstructing regulatory networks from gene expression measurements has been somewhat disrupted by the emergence and rapid development of single-cell data. Indeed, the traditional way of seeing a gene regulatory…

Molecular Networks · Quantitative Biology 2021-10-01 Ulysse Herbach

Consider a large Boolean network with a feed forward structure. Given a probability distribution on the inputs, can one find, possibly small, collections of input nodes that determine the states of most other nodes in the network? To answer…

Information Theory · Computer Science 2013-05-23 Reinhard Heckel , Steffen Schober , Martin Bossert

Rigidity is an emergent property of materials - it is not a feature of individual components that comprise the structure, but instead arises from interactions between many constituent parts. Recently, it has been recognized that…

Soft Condensed Matter · Physics 2025-08-27 Kelly Aspinwall , Tyler Hain , M. Lisa Manning

In epidemiological modelling, dynamics on networks, and in particular adaptive and heterogeneous networks have recently received much interest. Here we present a detailed analysis of a previously proposed model that combines heterogeneity…

Physics and Society · Physics 2016-09-21 Hui Yang , Tim Rogers , Thilo Gross

The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between…

Statistical Mechanics · Physics 2007-05-23 Min Liu , Kevin E. Bassler

Biological systems are driven by intricate interactions among the complex array of molecules that comprise the cell. Many methods have been developed to reconstruct network models of those interactions. These methods often draw on large…

Molecular Networks · Quantitative Biology 2018-06-29 Marieke Lydia Kuijjer , Matthew Tung , GuoCheng Yuan , John Quackenbush , Kimberly Glass

This paper is concerned with conditions for the existence of oscillations in gene regulatory networks with negative cyclic feedback, where time delays in transcription, translation and translocation process are explicitly considered. The…

Systems and Control · Computer Science 2013-01-01 Masaaki Takada , Yutaka Hori , Shinji Hara

Percolation is a fundamental concept that brought new understanding on the robustness properties of complex systems. Here we consider percolation on weakly interacting networks, that is, network layers coupled together by much less…

Physics and Society · Physics 2019-04-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

Quantitative Methods · Quantitative Biology 2024-09-12 Stephen Y Zhang

A model for epidemics on an adaptive network is considered. Nodes follow an SIRS (susceptible-infective-recovered-susceptible) pattern. Connections are rewired to break links from non-infected nodes to infected nodes and are reformed to…

Populations and Evolution · Quantitative Biology 2009-11-13 Leah B. Shaw , Ira B. Schwartz

Stability is a desirable property of complex ecosystems. If a community of interacting species is at a stable equilibrium point then it is able to withstand small perturbations to component species' abundances without suffering adverse…

Populations and Evolution · Quantitative Biology 2022-09-13 Francesco Caravelli , Phillip Staniczenko