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Related papers: Most Permissive Semantics of Boolean Networks

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The analysis of biological networks has benefited from the richness of Boolean networks (BNs) and the associated theory. These results have been further fortified in recent years by the emergence of Most Permissive (MP) semantics, combining…

Discrete Mathematics · Computer Science 2025-05-26 Stefan Haar , Juri Kolčák

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…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Théo Roncalli , Loïc Paulevé

Boolean networks are widely used to model biological regulatory networks and study their dynamics. Classical semantics, such as the asynchronous semantics, do not always accurately capture transient or asymptotic behaviors observed in…

Discrete Mathematics · Computer Science 2026-04-06 Laure de Chancel , Brigitte Mossé , Aurélien Naldi , Élisabeth Remy

Boolean networks (BNs) are widely used to model the qualitative dynamics of biological systems. Besides the logical rules determining the evolution of each component with respect to the state of its regulators, the scheduling of component…

Logic in Computer Science · Computer Science 2019-06-03 Thomas Chatain , Stefan Haar , Juraj Kolčák , Loïc Paulevé , Aalok Thakkar

Boolean automata networks (aka Boolean networks) are space-time discrete dynamical systems, studied as a model of computation and as a representative model of natural phenomena. A collection of simple entities (the automata) update their…

Discrete Mathematics · Computer Science 2024-02-12 Kévin Perrot , Sylvain Sené , Léah Tapin

Boolean Networks (BNs) describe the time evolution of binary states using logic functions on the nodes of a network. They are fundamental models for complex discrete dynamical systems, with applications in various areas of science and…

Discrete Mathematics · Computer Science 2025-03-26 Van-Giang Trinh , Samuel Pastva , Jordan Rozum , Kyu Hyong Park , Réka Albert

Boolean networks are discrete dynamical systems where each automaton has its own Boolean function for computing its state according to the configuration of the network. The updating mode then determines how the configuration of the network…

Dynamical Systems · Mathematics 2021-06-30 Loïc Paulevé , Sylvain Sené

Motivation: In systems biology, modelling strategies aim to decode how molecular components interact to generate dynamical behaviour. Boolean modelling is more and more used, but the description of the dynamics from two-levels components…

Molecular Networks · Quantitative Biology 2024-07-16 Nadine Ben Boina , Brigitte Mossé , Anaïs Baudot , Élisabeth Remy

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…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Loïc Paulevé

Boolean networks are extensively applied as models of complex dynamical systems, aiming at capturing essential features related to causality and synchronicity of the state changes of components along time. Dynamics of Boolean networks…

Logic in Computer Science · Computer Science 2026-04-06 Maximilien Gadouleau , Loïc Paulevé , Sara Riva

To model biological systems using networks, it is desirable to allow more than two levels of expression for the nodes and to allow the introduction of parameters. Various modeling and simulation methods addressing these needs using Boolean…

Molecular Networks · Quantitative Biology 2014-04-23 Yi Ming Zou

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…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Luboš Brim , Samuel Pastva , David Šafránek , Eva Šmijáková

Random boolean networks are a model of genetic regulatory networks that has proven able to describe experimental data in biology. They not only reproduce important phenomena in cell dynamics, but they are also extremely interesting from a…

Dynamical Systems · Mathematics 2015-02-26 Marco Villani , Davide Campioli , Chiara Damiani , Andrea Roli , Alessandro Filisetti , Roberto Serra

Boolean control networks (BCNs) are discrete-time dynamical systems with Boolean state-variables and inputs that are interconnected via Boolean functions. BCNs are recently attracting considerable interest as computational models for…

Optimization and Control · Mathematics 2014-07-08 Dmitriy Laschov , Michael Margaliot

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…

Formal Languages and Automata Theory · Computer Science 2023-03-02 Artiom Alhazov , Vincent Ferrari-Dominguez , Rudolf Freund , Nicolas Glade , Sergiu Ivanov

Boolean network (BN) is a simple model widely used to study complex dynamic behaviour of biological systems. Nonetheless, it might be difficult to gather enough data to precisely capture the behavior of a biological system into a set of…

Molecular Networks · Quantitative Biology 2020-09-02 Lubos Brim , Samuel Pastva , David Safranek , Eva Smijakova

We construct and investigate Boolean networks that follow a given reliable trajectory in state space, which is insensitive to fluctuations in the updating schedule, and which is also robust against noise. Robustness is quantified as the…

Biological Physics · Physics 2010-12-02 Christoph Schmal , Tiago P. Peixoto , Barbara Drossel

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…

Molecular Networks · Quantitative Biology 2026-04-30 Jacques Demongeot , Alonso Espinoza Rojas , Eric Goles , Marco Montalva-Medel , Sylvain Sené , Laurent Tichit

We identify and demonstrate a weakness of Petri Nets (PN) in specifying composite behavior of reactive systems. Specifically, we show how, when specifying multiple requirements in one PN model, modelers are obliged to specify mechanisms for…

Software Engineering · Computer Science 2023-04-20 Achiya Elyasaf , Tom Yaacov , Gera Weiss

Gene regulatory networks can be successfully modeled as Boolean networks. A much discussed hypothesis says that such model networks reproduce empirical findings the best if they are tuned to operate at criticality, i.e. at the borderline…

Molecular Networks · Quantitative Biology 2016-10-12 Pablo Villegas , José Ruiz-Franco , Jorge Hidalgo , Miguel A. Muñoz
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