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This paper investigates the stabilization of probabilistic Boolean networks (PBNs) via a novel pinning control strategy based on network structure. In a PBN, the evolution equation of each gene switches among a collection of candidate…

系统与控制 · 电气工程与系统科学 2020-10-26 Lin Lin , Jinde Cao , Jianquan Lu , Jie Zhong

A Boolean network is a discrete dynamical system operating on vectors of Boolean variables. The action of a Boolean network can be conveniently expressed as a system of Boolean update functions, computing the new values for each component…

形式语言与自动机理论 · 计算机科学 2023-03-02 Artiom Alhazov , Vincent Ferrari-Dominguez , Rudolf Freund , Nicolas Glade , Sergiu Ivanov

The description of gene interactions that constantly occur in the cellular environment is an extremely challenging task due to an immense number of degrees of freedom and incomplete knowledge about microscopic details. Hence, a…

量子物理 · 物理学 2024-08-19 Mirko Rossini , Felix M. Weidner , Joachim Ankerhold , Hans A. Kestler

Cancer forms a robust system and progresses as stages over time typically with increasing aggressiveness and worsening prognosis. Characterizing these stages and identifying the genes driving transitions between them is critical to…

分子网络 · 定量生物学 2014-02-04 Sriganesh Srihari , Venkatesh Raman , Hon Wai Leong , Mark A. Ragan

Random Boolean networks (RBNs) are models of genetic regulatory networks. It is useful to describe RBNs as self-organizing systems to study how changes in the nodes and connections affect the global network dynamics. This article reviews…

适应与自组织系统 · 物理学 2010-09-24 Carlos Gershenson

Effective control of biological systems can often be achieved through the control of a surprisingly small number of distinct variables. We bring clarity to such results using the formalism of Boolean dynamical networks, analyzing the…

分子网络 · 定量生物学 2021-09-13 Enrico Borriello , Bryan C. Daniels

In this paper, we design distributed spectrum access mechanisms with both complete and incomplete network information. We propose an evolutionary spectrum access mechanism with complete network information, and show that the mechanism…

网络与互联网体系结构 · 计算机科学 2012-04-12 Xu Chen , Jianwei Huang

Boolean networks constitute relevant mathematical models to study the behaviours of genetic and signalling networks. These networks define regulatory influences between molecular nodes, each being associated to a Boolean variable and a…

Progress in cell type reprogramming has revived the interest in Waddington's concept of the epigenetic landscape. Recently researchers developed the quasi-potential theory to represent the Waddington's landscape. The Quasi-potential U(x),…

分子网络 · 定量生物学 2016-05-09 Joseph Xu Zhou , Areejit Samal , Aymeric Fouquier d'Hèrouël , Nathan D. Price , Sui Huang

Despite their apparent simplicity, random Boolean networks display a rich variety of dynamical behaviors. Much work has been focused on the properties and abundance of attractors. The topologies of random Boolean networks with one input per…

无序系统与神经网络 · 物理学 2009-11-11 Björn Samuelsson , Carl Troein

We study the evolution of heterogeneous networks of oscillators subject to a state-dependent interconnection rule. We find that heterogeneity in the node dynamics is key in organizing the architecture of the functional emerging networks. We…

适应与自组织系统 · 物理学 2015-07-27 Francesco Scafuti , Takaaki Aoki , Mario di Bernardo

Boolean networks are powerful mathematical tools for modeling the qualitative dynamics of genetic regulation. Yet inferred models often generate spurious attractors that lack biological viability. In this paper, we propose a parsimonious…

Since their introduction, Boolean networks have been traditionally studied in view of their rich dynamical behavior under different update protocols and for their qualitative analogy with cell regulatory networks. More recently, tools…

无序系统与神经网络 · 物理学 2007-05-23 Michele Leone , Andrea Pagnani , Giorgio Parisi , Osvaldo Zagordi

This article is set in the field of regulation networks modeled by discrete dynamical systems. It focuses on Boolean automata networks. In such networks, there are many ways to update the states of every element. When this is done…

离散数学 · 计算机科学 2015-03-19 Mathilde Noual

This paper addresses the problem of finding cycles in the state transition graphs of synchronous Boolean networks. Synchronous Boolean networks are a class of deterministic finite state machines which are used for the modeling of gene…

分子网络 · 定量生物学 2009-01-29 Elena Dubrova , Maxim Teslenko

In this paper we investigate a neural network model in which weights between computational nodes are modified according to a local learning rule. To determine whether local learning rules are sufficient for learning, we encode the network…

神经与进化计算 · 计算机科学 2025-12-08 Jonathan Baxter

With a view to connecting random mutation on the molecular level to punctuated equilibrium behavior on the phenotype level, we propose a new model for biological evolution, which incorporates random mutation and natural selection. In this…

凝聚态物理 · 物理学 2009-10-28 M. Y. Choi , H. Y. Lee , D. Kim , S. H. Park

We consider an evolving network of a fixed number of nodes. The allocation of edges is a dynamical stochastic process inspired by biological reproduction dynamics, namely by deleting and duplicating existing nodes and their edges. The…

统计力学 · 物理学 2007-09-14 Henrik Jeldtot Jensen

It has been shown that unclocked, recurrent networks of Boolean gates in FPGAs can be used for low-SWaP reservoir computing. In such systems, topology and node functionality of the network are randomly initialized. To create a network that…

神经与进化计算 · 计算机科学 2024-03-21 Raphael Norman-Tenazas , David Kleinberg , Erik C. Johnson , Daniel P. Lathrop , Matthew J. Roos

We present a generic threshold model for the co-evolution of the structure of a network and the state of its nodes. We focus on regular directed networks and derive equations for the evolution of the system toward its absorbing state. It is…

物理与社会 · 物理学 2009-06-19 Renaud Lambiotte , Juan Carlos Gonzalez-Avella