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Boolean networks are dynamical models of disease development in which the activation levels of genes are represented by binary variables. Given a Boolean network, controls represent mutations or medical treatments that fix the activation…

最优化与控制 · 数学 2026-04-02 Kyungduk Moon , Kangbok Lee , Loïc Paulevé

Boolean Networks (BNs) serve as a fundamental modeling framework for capturing complex dynamical systems across various domains, including systems biology, computational logic, and artificial intelligence. A crucial property of BNs is the…

计算机科学中的逻辑 · 计算机科学 2025-06-19 Mohimenul Kabir , Van-Giang Trinh , Samuel Pastva , Kuldeep S Meel

In the applications of Boolean networks to modeling biological systems, an important computational problem is the detection of the fixed points of these networks. This is an NP-complete problem in general. There have been various attempts…

定量方法 · 定量生物学 2014-04-23 Yi Ming Zou

Boolean networks model finite discrete dynamical systems with complex behaviours. The state of each component is determined by a Boolean function of the state of (a subset of) the components of the network. This paper addresses the…

人工智能 · 计算机科学 2020-02-28 Stéphanie Chevalier , Christine Froidevaux , Loïc Paulevé , Andrei Zinovyev

As shown in (http://dx.doi.org/10.1101/2020.03.22.998377), the usual update modes of Boolean networks (BNs), including synchronous and (generalized) asynchronous, fail to capture behaviors introduced by multivalued refinements. Thus, update…

形式语言与自动机理论 · 计算机科学 2020-04-09 Thomas Chatain , Stefan Haar , Juraj Kol{č}ák , Loïc Paulevé

The tool mpbn offers a Python programming interface for an easy interactive editing of Boolean networks and the efficient computation of elementary properties of their dynamics, including fixed points, trap spaces, and reachability…

计算机科学中的逻辑 · 计算机科学 2024-03-12 Van-Giang Trinh , Belaid Benhamou , Loïc Paulevé

A Boolean network (BN) with $n$ components is a discrete dynamical system described by the successive iterations of a function $f:\{0,1\}^n \to \{0,1\}^n$. This model finds applications in biology, where fixed points play a central role.…

组合数学 · 数学 2022-02-10 Florian Bridoux , Amélia Durbec , Kévin Perrot , Adrien Richard

In the context of discrete dynamical systems and their applications, fixed points often have a clear interpretation. This is indeed a central topic of gene regulatory mechanisms modeled by Boolean automata networks (BANs), where a…

离散数学 · 计算机科学 2025-07-29 Kévin Perrot , Sylvain Sené , Léah Tapin

Previous work in Boolean dynamical networks has suggested that the number of components that must be controlled to select an existing attractor is typically set by the number of attractors admitted by the dynamics, with no dependence on the…

分子网络 · 定量生物学 2024-10-11 Bryan C. Daniels , Enrico Borriello

Regulatory networks (RNs) are a well-accepted modelling formalism in computational systems biology. The control of RNs is currently receiving a lot of attention because it provides a computational basis for cell reprogramming -- an…

系统与控制 · 电气工程与系统科学 2022-03-01 Luboš Brim , Samuel Pastva , David Šafránek , Eva Šmijáková

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

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…

Biological processes, including cell differentiation, organism development, and disease progression, can be interpreted as attractors (fixed points or limit cycles) of an underlying networked dynamical system. In this paper, we study the…

系统与控制 · 计算机科学 2017-01-20 Andrew Clark , Phillip Lee , Basel Alomair , Linda Bushnell , Radha Poovendran

Minimal trap spaces (MTSs) capture subspaces in which the Boolean dynamics is trapped, whatever the update mode. They correspond to the attractors of the most permissive mode. Due to their versatility, the computation of MTSs has recently…

计算机科学中的逻辑 · 计算机科学 2023-07-21 Sara Riva , Jean-Marie Lagniez , Gustavo Magaña López , Loïc Paulevé

We investigate how classifiers for Boolean networks (BNs) can be constructed and modified under constraints. A typical constraint is to observe only states in attractors or even more specifically steady states of BNs. Steady states of BNs…

交换代数 · 数学 2021-08-20 Robert Schwieger , Matías R. Bender , Heike Siebert , Christian Haase

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 develop a method for reconstructing regulatory interconnection networks between variables evolving according to a linear dynamical system. The work is motivated by the problem of gene regulatory network inference, that is, finding causal…

统计方法学 · 统计学 2018-02-19 Atte Aalto , Jorge Goncalves

We study the problem of change point localization in dynamic networks models. We assume that we observe a sequence of independent adjacency matrices of the same size, each corresponding to a realization of an unknown inhomogeneous Bernoulli…

统计方法学 · 统计学 2020-10-22 Daren Wang , Yi Yu , Alessandro Rinaldo

In this paper, we address the formal characterization of targets triggering cellular trans-differentiation in the scope of Boolean networks with asynchronous dynamics. Given two fixed points of a Boolean network, we are interested in all…

离散数学 · 计算机科学 2016-11-07 Hugues Mandon , Stefan Haar , Loïc Paulevé

In systems biology, Boolean networks (BNs) aim at modeling the qualitative dynamics of quantitative biological systems. Contrary to their (a)synchronous interpretations, the Most Permissive (MP) interpretation guarantees capturing all the…

系统与控制 · 电气工程与系统科学 2022-06-28 Théo Roncalli , Loïc Paulevé
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