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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

Probabilistic Boolean networks (PBNs) is an important mathematical framework widely used for modelling and analysing biological systems. PBNs are suited for modelling large biological systems, which more and more often arise in systems…

Computational Engineering, Finance, and Science · Computer Science 2016-05-04 Andrzej Mizera , Jun Pang , Qixia Yuan

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

Methods of modeling cellular regulatory networks as diverse as differential equations and Boolean networks co-exist, however, without any closer correspondence to each other. With the example system of the fission yeast cell cycle control…

Molecular Networks · Quantitative Biology 2015-03-13 Maria Davidich , Stefan Bornholdt

Boolean networks have long been used as models of molecular networks and play an increasingly important role in systems biology. This paper describes a software package, Polynome, offered as a web service, that helps users construct Boolean…

Probabilistic Boolean Networks have been proposed for estimating the behaviour of dynamical systems as they combine rule-based modelling with uncertainty principles. Inferring PBNs directly from gene data is challenging however, especially…

Systems and Control · Electrical Eng. & Systems 2022-11-14 Vytenis Šliogeris , Leandros Maglaras , Sotiris Moschoyiannis

Boolean networks are a widely used modeling framework in systems biology for studying gene regulation, signal transduction, and cellular decision-making. Empirical studies indicate that biological Boolean networks exhibit a high degree of…

Molecular Networks · Quantitative Biology 2026-03-26 Claus Kadelka , Benjamin Coberly

Boolean networks have been used in a variety of settings, as models for general complex systems as well as models of specific systems in diverse fields, such as biology, engineering, and computer science. Traditionally, their properties as…

Dynamical Systems · Mathematics 2024-02-02 Matthew Wheeler , Claus Kadelka , Alan Veliz-Cuba , David Murrugarra , Reinhard Laubenbacher

Intracellular networks process cellular-level information and control cell fate. They can be computationally modeled using Boolean networks, which are implicit-time causal models of discrete binary events. These networks can be embedded in…

Molecular Networks · Quantitative Biology 2025-01-28 John Metzcar , Katie Pletz , Heber L. Rocha , Jordan C Rozum

Boolean networks can be viewed as functions on the set of binary strings of a given length, described via logical rules. They were introduced as dynamic models into biology, in particular as logical models of intracellular regulatory…

Dynamical Systems · Mathematics 2025-04-16 J. García Galofre , M. Pérez Millán , A. Galarza Rial , R. Laubenbacher , A. Dickenstein

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

PhysiBoSS is an open-source platform that integrates agent-based modeling of cell populations with intracellular stochastic Boolean networks, enabling multiscale simulations of complex biological behaviors. To promote model sharing and…

Quantitative Methods · Quantitative Biology 2025-08-08 Vincent Noel , Marco Ruscone , Randy Heiland , Arnau Montagud , Alfonso Valencia , Emmanuel Barillot , Paul Macklin , Laurence Calzone

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

A novel algorithm for performing parallel, distributed computer simulations on the Internet using IP control messages is introduced. The algorithm employs carefully constructed ICMP packets which enable the required computations to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-07 G. A. Kohring

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…

Molecular Networks · Quantitative Biology 2019-12-06 Elijah Paul , Gleb Pogudin , William Qin , Reinhard Laubenbacher

For years, we have been building models of gene regulatory networks, where recent advances in molecular biology shed some light on new structural and dynamical properties of such highly complex systems. In this work, we propose a novel…

Adaptation and Self-Organizing Systems · Physics 2009-09-30 Christian Darabos , Marco Tomassini , Mario Giacobini

When using Bayesian networks for modelling the behavior of man-made machinery, it usually happens that a large part of the model is deterministic. For such Bayesian networks deterministic part of the model can be represented as a Boolean…

Artificial Intelligence · Computer Science 2013-01-18 Thomas D. Nielsen , Pierre-Henri Wuillemin , Finn Verner Jensen , Uffe Kjærulff

Dynamical systems theory and complexity science provide powerful tools for analysing artificial agents and robots. Furthermore, they have been recently proposed also as a source of design principles and guidelines. Boolean networks are a…

Artificial Intelligence · Computer Science 2015-03-18 Andrea Roli , Mattia Manfroni , Carlo Pinciroli , Mauro Birattari

Boolean networks, first developed in the late 1960s as a tool for studying complex disordered dynamical systems, consist of nodes governed by Boolean functions whose evolution is entirely deterministic in that the state of the network at a…

Quantum Physics · Physics 2023-03-02 Ian T. Durham

This paper proposes a new method to reverse engineer gene regulatory networks from experimental data. The modeling framework used is time-discrete deterministic dynamical systems, with a finite set of states for each of the variables. The…

Quantitative Methods · Quantitative Biology 2007-05-23 Reinhard Laubenbacher , Brandilyn Stigler
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