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Canalization of genetic regulatory networks has been argued to be favored by evolutionary processes due to the stability that it can confer to phenotype expression. We explore whether a significant amount of canalization and partial…

Quantitative Methods · Quantitative Biology 2009-11-13 C. J. Olson Reichhardt , Kevin E. Bassler

Many biological systems, such as metabolic pathways, exhibit bistability behavior: these biological systems exhibit two distinct stable states with switching between the two stable states controlled by certain conditions. Since…

Quantitative Methods · Quantitative Biology 2013-07-04 Yi Ming Zou

Boolean networks are discrete dynamical systems in which the state (zero or one) of each node is updated at each time t to a state determined by the states at time t-1 of those nodes that have links to it. When these systems are used to…

Molecular Networks · Quantitative Biology 2012-02-28 Andrew Pomerance , Michelle Girvan , Ed Ott

Characterization of the differences between biological and random networks can reveal the design principles that enable the robust realization of crucial biological functions including the establishment of different cell types. Previous…

Molecular Networks · Quantitative Biology 2020-08-26 Shubham Tripathi , David A. Kessler , Herbert Levine

Molecular networks guide the biochemistry of a living cell on multiple levels: its metabolic and signalling pathways are shaped by the network of interacting proteins, whose production, in turn, is controlled by the genetic regulatory…

Soft Condensed Matter · Physics 2009-11-07 Sergei Maslov , Kim Sneppen

We study genetic networks that produce many species of non-coding RNA molecules that are present at a moderate density, as typically exists in the cell. The associations of the many species of these RNA are modeled physically, taking into…

Genomics · Quantitative Biology 2014-09-08 J. M. Deutsch

The propagations of diseases, behaviors and information in real systems are rarely independent of each other, but they are coevolving with strong interactions. To uncover the dynamical mechanisms, the evolving spatiotemporal patterns and…

Physics and Society · Physics 2019-10-02 Wei Wang , Quan-Hui Liu , Junhao Liang , Yanqing Hu , Tao Zhou

During the last few years an area of active research in the field of complex systems is that of their information storing and processing abilities. Common opinion has it that the most interesting beaviour of these systems is found ``at the…

adap-org · Physics 2007-05-23 Bartolo Luque , Antonio Ferrera

Our daily social and political life is more and more impacted by social networks. The functioning of our living bodies is deeply dependent on biological regulation networks such as neural, genetic, and protein networks. And the physical…

Discrete Mathematics · Computer Science 2022-04-25 Jacques Demongeot , Tarek Melliti , Mathilde Noual , Damien Regnault , Sylvain Sené

This paper uses a recently presented abstract, tuneable Boolean regulatory network model extended to consider aspects of mobile DNA, such as transposons. The significant role of mobile DNA in the evolution of natural systems is becoming…

Computational Engineering, Finance, and Science · Computer Science 2013-06-25 Larry Bull , Andrew Adamatzky

A Boolean network is a mapping $f :\{0,1\}^n \to \{0,1\}^n$, which can be used to model networks of $n$ interacting entities, each having a local Boolean state that evolves over time according to a deterministic function of the current…

Combinatorics · Mathematics 2021-04-29 Maximilien Gadouleau

In this paper, we study the recursion of measurement outcomes for open quantum networks under sequential measurements. Open quantum networks are networked quantum subsystems (e.g., qubits) with the state evolutions described by a continuous…

Quantum Physics · Physics 2019-11-13 Hongsheng Qi , Biqiang Mu , Ian R. Petersen , Guodong Shi

Boolean networks are an important class of computational models for molecular interaction networks. Boolean canalization, a type of hierarchical clustering of the inputs of a Boolean function, has been extensively studied in the context of…

Molecular Networks · Quantitative Biology 2024-07-09 David Murrugarra , Elena S. Dimitrova

Regulatory gene networks contain generic modules like those involving feedback loops, which are essential for the regulation of many biological functions. We consider a class of self-regulated genes which are the building blocks of many…

Subcellular Processes · Quantitative Biology 2008-10-02 Thomas Fournier , Jean-Pierre Gabriel , Christian Mazza , Jerome Pasquier , Jose Galbete , Nicolas Mermod

We investigate how elimination of variables can affect the asymptotic dynamics and phenotype control of Boolean networks. In particular, we look at the impact on minimal trap spaces, and identify a structural condition that guarantees their…

Discrete Mathematics · Computer Science 2024-08-14 Elisa Tonello , Loïc Paulevé

Robustness to mutations and noise has been shown to evolve through stabilizing selection for optimal phenotypes in model gene regulatory networks. The ability to evolve robust mutants is known to depend on the network architecture. How do…

Molecular Networks · Quantitative Biology 2008-07-07 Volkan Sevim , Per Arne Rikvold

Boolean Networks and their dynamics are of great interest as abstract modeling schemes in various disciplines, ranging from biology to computer science. Whereas parallel update schemes have been studied extensively in past years, the level…

Statistical Mechanics · Physics 2007-07-19 Hamed Mahmoudi , Andrea Pagnani , Martin Weigt , Riccardo Zecchina

Genetic regulation is a key component in development, but a clear understanding of the structure and dynamics of genetic networks is not yet at hand. In this paper we investigate these properties within an artificial genome model originally…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Christopher R. Winkler

Structural and dynamical fingerprints of evolutionary optimization in biological networks are still unclear. We here analyze the dynamics of genetic regulatory networks responsible for the regulation of cell cycle and cell differentiation…

Molecular Networks · Quantitative Biology 2016-06-22 N. Aral , A. Kabakcioglu

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes