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In this paper are presented first results of a theoretical study on the role of non-monotone interactions in Boolean automata networks. We propose to analyse the contribution of non-monotony to the diversity and complexity in their…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Mathilde Noual , Damien Regnault , Sylvain Sené

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 complex dynamics of gene expression in living cells can be well-approximated using Boolean networks. The average sensitivity is a natural measure of stability in these systems: values below one indicate typically stable dynamics…

Molecular Networks · Quantitative Biology 2018-10-03 Bryan C. Daniels , Hyunju Kim , Douglas Moore , Siyu Zhou , Harrison Smith , Bradley Karas , Stuart A. Kauffman , Sara I. Walker

It is notoriously difficult to predict the behaviour of a complex self-organizing system, where the interactions among dynamical units form a heterogeneous topology. Even if the dynamics of each microscopic unit is known, a real…

Information Theory · Computer Science 2013-10-01 Rick Quax , Andrea Apolloni , Peter M. A. Sloot

Genetic interaction can be defined as a deviation of the phenotypic quantitative effect of a double gene mutation from the effect predicted from single mutations using a simple (e.g., multiplicative or linear additive) statistical model.…

Molecular Networks · Quantitative Biology 2015-04-24 Laurence Calzone , Emmanuel Barillot , Andrei Zinovyev

The problem of reliability of the dynamics in biological regulatory networks is studied in the framework of a generalized Boolean network model with continuous timing and noise. Using well-known artificial genetic networks such as the…

Molecular Networks · Quantitative Biology 2008-05-28 Stefan Braunewell , Stefan Bornholdt

Biological systems operate under persistent noise, which can alter system states and induce transitions between attractors. Here, we study the attractor dynamics of Boolean networks focusing on the transitions between attractors induced by…

Molecular Networks · Quantitative Biology 2026-03-05 Byungjoon Min , Jeehye Choi , Reinhard Laubenbacher

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

Understanding real-world dynamical phenomena remains a challenging task. Across various scientific disciplines, machine learning has advanced as the go-to technology to analyze nonlinear dynamical systems, identify patterns in big data, and…

Machine Learning · Computer Science 2022-12-07 Kevin Linka , Amelie Schafer , Xuhui Meng , Zongren Zou , George Em Karniadakis , Ellen Kuhl

Percolation theory has been widely used to study phase transitions in complex networked systems. It has also successfully explained several macroscopic phenomena across different fields. Yet, the existent theoretical framework for…

Physics and Society · Physics 2020-12-01 Jiarong Xie , Xiangrong Wang , Ling Feng , Jin-Hua Zhao , Yamir Moreno , Yanqing Hu

Interactions between units in phyical, biological, technological, and social systems usually give rise to intrincate networks with non-trivial structure, which critically affects the dynamics and properties of the system. The focus of most…

Data Analysis, Statistics and Probability · Physics 2007-05-23 R. Guimera , M. Sales-Pardo , L. A. N. Amaral

From just a glance, humans can make rich predictions about the future state of a wide range of physical systems. On the other hand, modern approaches from engineering, robotics, and graphics are often restricted to narrow domains and…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Nicholas Watters , Andrea Tacchetti , Theophane Weber , Razvan Pascanu , Peter Battaglia , Daniel Zoran

Understanding and interacting with everyday physical scenes requires rich knowledge about the structure of the world, represented either implicitly in a value or policy function, or explicitly in a transition model. Here we introduce a new…

In this review, we give an introduction to the structural and functional properties of the biological networks. We focus on three major themes: topology of complex biological networks like the metabolic and protein-protein interaction…

Condensed Matter · Physics 2007-05-23 Indrani Bose

Systems are typically made from simple components regardless of their complexity. While the function of each part is easily understood, higher order functions are emergent properties and are notoriously difficult to explain. In networked…

Artificial Intelligence · Computer Science 2018-01-18 Jory Schossau , Larissa Albantakis , Arend Hintze

Networks are versatile representations of the interactions between entities in complex systems. Cycles on such networks represent feedback processes which play a central role in system dynamics. In this work, we introduce a measure of the…

Social and Information Networks · Computer Science 2017-12-06 Pierre-Louis Giscard , Richard C. Wilson

Motivation: Cell-biological processes are regulated through a complex network of interactions between genes and their products. The processes, their activating conditions, and the associated transcriptional responses are often unknown.…

Molecular Networks · Quantitative Biology 2012-02-03 Leo Lahti , Juha E. A. Knuuttila , Samuel Kaski

The concept of temporal networks provides a framework to understand how the interaction between system components changes over time. In empirical communication data, we often detect non-Poissonian, so-called bursty behavior in the activity…

Physics and Society · Physics 2020-04-29 Takayuki Hiraoka , Naoki Masuda , Aming Li , Hang-Hyun Jo

Empirical data on the dynamics of human face-to-face interactions across a variety of social venues have recently revealed a number of context-independent structural and temporal properties of human contact networks. This universality…

Physics and Society · Physics 2016-07-13 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

We develop a general method to explore how the function performed by a biological network can constrain both its structural and dynamical network properties. This approach is orthogonal to prior studies which examine the functional…

Molecular Networks · Quantitative Biology 2009-11-13 Kai-Yeung Lau , Surya Ganguli , Chao Tang