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The dynamics of Boolean networks (BN) with quenched disorder and thermal noise is studied via the generating functional method. A general formulation, suitable for BN with any distribution of Boolean functions, is developed. It provides…

Disordered Systems and Neural Networks · Physics 2015-05-27 Alexander Mozeika , David Saad

Interpretable machine learning aims to provide transparent models whose decision-making processes can be readily understood by humans. Recent advances in rule-based approaches, such as expressive Boolean formulas (BoolXAI), offer faithful…

Artificial Intelligence · Computer Science 2026-05-13 Du Cheng , Serdar Kadioglu , Xin Wang

Logical models have been successfully used to describe regulatory and signaling networks without requiring quantitative data. However, existing data is insufficient to adequately define a unique model, rendering the parametrization of a…

Discrete Mathematics · Computer Science 2019-01-24 José E. R. Cury , Pedro T. Monteiro , Claudine Chaouiya

Human decisional processes result from the employment of selected quantities of relevant information, generally synthesized from environmental incoming data and stored memories. Their main goal is the production of an appropriate and…

Artificial Intelligence · Computer Science 2016-09-08 Graziano Barnabei , Franco Bagnoli , Ciro Conversano , Elena Lensi

Boolean circuit is a computational graph that consists of the dynamic directed graph structure and static functionality. The commonly used logic optimization and Boolean matching-based transformation can change the behavior of the Boolean…

Machine Learning · Computer Science 2024-11-19 Liwei Ni , Xinquan Li , Biwei Xie , Huawei Li

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

The behavior of Internet applications is shaped by congestion dynamics at bottleneck links, yet data capturing application behavior across diverse bottleneck regimes remains scarce. Bridging this gap requires a data-generation substrate…

Networking and Internet Architecture · Computer Science 2026-02-23 Jaber Daneshamooz , Satyandra Guthula , Jessica Nguyen , William Chen , Sanjay Chandrasekaran , Ankit Gupta , Arpit Gupta , Walter Willinger

Interaction graphs provide an important qualitative modeling approach for System Biology. This paper presents a novel approach for construction of interaction graph with the help of Boolean function decomposition. Each decomposition part…

Systems and Control · Computer Science 2014-09-26 Jayanta Kumar Das , Ranjeet Kumar Rout , Pabitra Pal Choudhury

The biomolecular networks underpinning cell function exhibit canalization, or the buffering of fluctuations required to function in a noisy environment. One understudied putative mechanism for canalization is the functional equivalence of a…

Molecular Networks · Quantitative Biology 2024-05-14 Austin M. Marcus , Jordan Rozum , Herbert Sizek , Luis M. Rocha

We investigate the dynamical properties of the transcriptional regulation of gene expression in the yeast Saccharomyces Cerevisiae within the framework of a synchronously and deterministically updated Boolean network model. By means of a…

Molecular Networks · Quantitative Biology 2015-05-13 Murat Tugrul , Alkan Kabakcioglu

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…

Commutative Algebra · Mathematics 2021-08-20 Robert Schwieger , Matías R. Bender , Heike Siebert , Christian Haase

In this paper, we analyse large random Boolean networks in terms of a constraint satisfaction problem. We first develop an algorithmic scheme which allows to prune simple logical cascades and under-determined variables, returning thereby…

Statistical Mechanics · Physics 2009-11-11 L. Correale , M. Leone , A. Pagnani , M. Weigt , R. Zecchina

The area of Smart Power Grids needs to constantly improve its efficiency and resilience, to pro-vide high quality electrical power, in a resistant grid, managing faults and avoiding failures. Achieving this requires high component…

Machine Learning · Computer Science 2021-02-03 Pedro J. Rivera Torres , Carlos Gershenson García , Samir Kanaan Izquierdo

Boolean networks are popular tools for the exploration of qualitative dynamical properties of biological systems. Several dynamical interpretations have been proposed based on the same logical structure that captures the interactions…

Discrete Mathematics · Computer Science 2022-03-04 Aurélien Naldi , Adrien Richard , Elisa Tonello

Boolean networks have been successfully used in modelling gene regulatory networks. In this paper we propose a reduction method that reduces the complexity of a Boolean network but keeps dynamical properties and topological features and…

Quantitative Methods · Quantitative Biology 2009-07-06 Alan Veliz-Cuba

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

In this study, we explored the utility of a descriptive and predictive bionetwork model for phospholipase C-coupled calcium signaling pathways, built with non-kinetic experimental information. Boolean models generated from these data yield…

Molecular Networks · Quantitative Biology 2009-12-14 Gaurav Bhardwaj , Christine P. Wells , Reka Albert , Damian B. van Rossum , Randen L. Patterson

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

We study the problem of optimizing biological sequences, e.g., proteins, DNA, and RNA, to maximize a black-box score function that is only evaluated in an offline dataset. We propose a novel solution, bootstrapped training of…

Quantitative Methods · Quantitative Biology 2024-03-26 Minsu Kim , Federico Berto , Sungsoo Ahn , Jinkyoo Park
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