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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…

Formal Languages and Automata Theory · Computer Science 2020-04-09 Thomas Chatain , Stefan Haar , Juraj Kol{č}ák , 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

Understanding control mechanisms in biological systems plays a crucial role in important applications, for instance in cell reprogramming. Boolean modeling allows the identification of possible efficient strategies, helping to reduce the…

Molecular Networks · Quantitative Biology 2021-12-21 Laura Cifuentes-Fontanals , Elisa Tonello , Heike Siebert

The rapid growth of the size and complexity in deep neural networks has sharply increased computational demands, challenging their efficient deployment in real-world scenarios. Boolean networks, constructed with logic gates, offer a…

Machine Learning · Computer Science 2024-09-12 Youngsung Kim

Boolean equivalence allows Boolean networks with identical functionality to exhibit diverse graph structures. This gives more room for exploration in logic optimization, while also posing a challenge for tasks involving consistency between…

Hardware Architecture · Computer Science 2025-11-05 Liwei Ni , Jiaxi Zhang , Shenggen Zheng , Junfeng Liu , Xingyu Meng , Biwei Xie , Xingquan Li , Huawei Li

We investigate the expressive power of neural networks from the point of view of descriptive complexity. We study neural networks that use floating-point numbers and piecewise polynomial activation functions from two perspectives: 1) the…

Computational Complexity · Computer Science 2025-05-12 Veeti Ahvonen , Damian Heiman , Antti Kuusisto

Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations. Previous approaches to stability have assumed…

Molecular Networks · Quantitative Biology 2015-05-13 Andrew Pomerance , Edward Ott , Michelle Girvan , Wolfgang Losert

The study of network structure has uncovered signatures of the organization of complex systems. However, there is also a need to understand how to control them; for example, identifying strategies to revert a diseased cell to a healthy…

Molecular Networks · Quantitative Biology 2016-04-19 Alexander J. Gates , Luis M. Rocha

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…

Optimization and Control · Mathematics 2026-04-02 Kyungduk Moon , Kangbok Lee , Loïc Paulevé

We propose new activity-dependent adaptive Boolean networks inspired by the cis-regulatory mechanism in gene regulatory networks. We analytically show that our model can be solved for stationary in-degree distribution for a wide class of…

Adaptation and Self-Organizing Systems · Physics 2017-12-08 Taichi Haruna

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

Discrete modelling frameworks of Biological networks can be divided in two distinct categories: Boolean and Multi-valued. Although Multi-valued networks are more expressive for qualifying the regulatory behaviours modelled by more than two…

Discrete Mathematics · Computer Science 2020-01-22 Franck Delaplace , Sergiu Ivanov

A Boolean network is a mapping $f :\{0,1\}^n \to \{0,1\}^n$, which can be used to model networks of $n$ interacting entities, each having a local Boolean state that evolves over time according to a deterministic function of the current…

Combinatorics · Mathematics 2021-04-29 Maximilien Gadouleau

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…

Adaptation and Self-Organizing Systems · Physics 2010-09-24 Carlos Gershenson

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

We study the target control problem of asynchronous Boolean networks, to identify a set of nodes, the perturbation of which can drive the dynamics of the network from any initial state to the desired steady state (or attractor). We are…

Systems and Control · Electrical Eng. & Systems 2020-06-04 Cui Su , Jun Pang

The determination and classification of fixed points of large Boolean networks is addressed in terms of constraint satisfaction problem. We develop a general simplification scheme that, removing all those variables and functions belonging…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. Correale , M. Leone , A. Pagnani , M. Weigt , R. Zecchina

Boolean networks with canalizing functions are used to model gene regulatory networks. In order to learn how such networks may behave under evolutionary forces, we simulate the evolution of a single Boolean network by means of an adaptive…

Populations and Evolution · Quantitative Biology 2011-11-09 Agnes Szejka , Barbara Drossel

Canalization is a classic concept in Developmental Biology that is thought to be an important feature of evolving systems. In a Boolean network it is a form of network robustness in which a subset of the input signals control the behavior…

Molecular Networks · Quantitative Biology 2015-05-28 Matthew D. Reichl , Kevin E. Bassler

Dialectical frameworks are a unifying model of formal argumentation, where argumentative relations between arguments are represented by assigning acceptance conditions to atomic arguments. Their generality allow them to cover a number of…

Artificial Intelligence · Computer Science 2024-07-03 Jesse Heyninck , Matthias Knorr , João Leite
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