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This paper focuses on proposing a general control framework for large-scale Boolean networks (\texttt{BNs}). Only by the network structure, the concept of structural controllability for \texttt{BNs} is formalized. A necessary and sufficient…

系统与控制 · 电气工程与系统科学 2021-05-27 Shiyong Zhu , Jianquan Lu , Shun-ichi Azuma , Wei Xing Zheng

This article examines the impact of Hamiltonian dynamics on the interaction graph of Boolean networks. Three types of dynamics are considered: maximum height, Hamiltonian cycle, and an intermediate dynamic between these two. The study…

离散数学 · 计算机科学 2026-05-14 Arturo Zapata-Cortés , Julio Aracena

Boolean networks are a popular modeling framework in computational biology to capture the dynamics of molecular networks, such as gene regulatory networks. It has been observed that many published models of such networks are defined by…

分子网络 · 定量生物学 2019-12-06 Elijah Paul , Gleb Pogudin , William Qin , Reinhard Laubenbacher

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…

分子网络 · 定量生物学 2024-07-09 David Murrugarra , Elena S. Dimitrova

Different Boolean networks may reveal similar dynamics although their definition differs, then preventing their distinction from the observations. This raises the question about the sufficiency of a particular Boolean network for properly…

离散数学 · 计算机科学 2014-11-25 Franck Delaplace

This review explains in a self-contained way the properties of random Boolean networks and their attractors, with a special focus on critical networks. Using small example networks, analytical calculations, phenomenological arguments, and…

统计力学 · 物理学 2008-11-14 Barbara Drossel

The study of the interplay between the structure and dynamics of complex multilevel systems is a pressing challenge nowadays. In this paper, we use a semi-annealed approximation to study the stability properties of Random Boolean Networks…

物理与社会 · 物理学 2012-10-31 Emanuele Cozzo , Alex Arenas , Yamir Moreno

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the…

适应与自组织系统 · 物理学 2013-03-07 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

We demonstrate the effects of embedding subgraphs using a Boolean network, which is one of the discrete dynamical models for transcriptional regulatory networks. After comparing the dynamical properties of network embedded seven different…

元胞自动机与格子气 · 物理学 2008-06-26 Chikoo Oosawa , Michael A. Savageau , Abdul S. Jarrah , Reinhard C. Laubenbacher , Eduardo D. Sontag

Genetic regulatory networks control ontogeny. For fifty years Boolean networks have served as models of such systems, ranging from ensembles of random Boolean networks as models for generic properties of gene regulation to working dynamical…

分子网络 · 定量生物学 2019-02-04 Stefan Bornholdt , Stuart Kauffman

We have considered a Boolean control network where the state evolution equations depend on past states, controls and first derivatives of a function with respect to controls. Total approach has been the efficient use of matrix semi tensor…

最优化与控制 · 数学 2020-08-20 Souma Mazumdar

Boolean networks (BNs) are discrete dynamical systems with applications to the modeling of cellular behaviors. In this paper, we demonstrate how the software BoNesis can be employed to exhaustively identify combinations of perturbations…

系统与控制 · 电气工程与系统科学 2023-05-03 Loïc Paulevé

We investigated the properties of Boolean networks that follow a given reliable trajectory in state space. A reliable trajectory is defined as a sequence of states which is independent of the order in which the nodes are updated. We…

生物物理 · 物理学 2011-03-23 Tiago P. Peixoto , Barbara Drossel

A Boolean network (BN) is a discrete dynamical system defined by a Boolean function that maps to the domain itself. A trap space of a BN is a generalization of a fixed point, which is defined as the sub-hypercubes closed by the function of…

离散数学 · 计算机科学 2024-10-21 Kyungduk Moon , Kangbok Lee , Loïc Paulevé

We investigate the propagation of perturbations in Boolean networks by evaluating the Derrida plot and modifications of it. We show that even small Random Boolean Networks agree well with the predictions of the annealed approximation, but…

统计力学 · 物理学 2009-05-06 Christoph Fretter , Agnes Szejka , Barbara Drossel

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

神经与进化计算 · 计算机科学 2013-06-21 Larry Bull

Boolean threshold networks have recently been proposed as useful tools to model the dynamics of genetic regulatory networks, and have been successfully applied to describe the cell cycles of \textit{S. cerevisiae} and \textit{S. pombe}.…

混沌动力学 · 物理学 2010-11-18 Jorge G. T. Zañudo , Maximino Aldana , Gustavo Martínez-Mekler

Learning Bayesian networks from raw data can help provide insights into the relationships between variables. While real data often contains a mixture of discrete and continuous-valued variables, many Bayesian network structure learning…

人工智能 · 计算机科学 2018-09-19 Yi-Chun Chen , Tim Allan Wheeler , Mykel John Kochenderfer

Connecting the dynamics of biomolecular networks to experimentally measurable cell phenotypes remains a central challenge in systems biology. Here we introduce a model-based definition of phenotype as a partial steady state that is…

分子网络 · 定量生物学 2026-02-18 Samuel Pastva , Kyu Hyong Park , Jordan C. Rozum , Van-Giang Trinh , Réka Albert

Boolean networks are discrete dynamical systems for modeling regulation and signaling in living cells. We investigate a particular class of Boolean functions with inhibiting inputs exerting a veto (forced zero) on the output. We give…

分子网络 · 定量生物学 2014-09-05 Haleh Ebadi , Konstantin Klemm