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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

Boolean networks are used to model biological networks such as gene regulatory networks. Often Boolean networks show very chaotic behaviour which is sensitive to any small perturbations. In order to reduce the chaotic behaviour and to…

Systems and Control · Computer Science 2014-09-25 Camellia Ray , Jayanta Kumar Das , Pabitra Pal Choudhury

Recent developments in Omics-technologies revolutionized the investigation of biology by producing molecular data in multiple dimensions and scale. This breakthrough in biology raises the crucial issue of their interpretation based on…

Artificial Intelligence · Computer Science 2020-09-09 Sara Sadat Aghamiri , Franck Delaplace

Collective sensing by interacting cells is observed in a variety of biological systems, and yet a quantitative understanding of how sensory information is collectively encoded is lacking. Here we investigate the ATP-induced calcium dynamics…

Cell Behavior · Quantitative Biology 2017-09-20 Garrett D Potter , Tommy A Byrd , Andrew Mugler , Bo Sun

Estimating the influence that individual nodes have on one another in a Boolean network is essential to predict and control the system's dynamical behavior, for example, detecting key therapeutic targets to control pathways in models of…

Physics and Society · Physics 2023-11-02 Thomas Parmer , Filippo Radicchi

Boolean networks, widely used to model gene regulation, exhibit a phase transition between regimes in which small perturbations either die out or grow exponentially. We show and numerically verify that this phase transition in the dynamics…

Statistical Mechanics · Physics 2013-05-30 Shane Squires , Edward Ott , Michelle Girvan

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

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

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…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Lin Lin , Jinde Cao , Jianquan Lu , Jie Zhong

Motivation: One of the branches of Systems Biology is focused on a deep understanding of underlying regulatory networks through the analysis of the biomolecules oscillations and their interplay. Synthetic Biology exploits gene or/and…

Molecular Networks · Quantitative Biology 2020-11-30 Francesco Bardozzo , Pietro Liò , Roberto Tagliaferri

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

Intracellular calcium is regulated in part by the release of Ca$^{2+}$ ions from the endoplasmic reticulum via inositol-4,5-triphosphate receptor (IP$_3$R) channels (among other possibilities such as RyR and L-type calcium channels). The…

Subcellular Processes · Quantitative Biology 2016-09-14 Ulrich Dobramysl , Sten Rüdiger , Radek Erban

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

We demonstrate the advantages of feedforward loops using a Boolean network, which is one of the discrete dynamical models for transcriptional regulatory networks. After comparing the dynamical behaviors of network embedded feedback and…

Cellular Automata and Lattice Gases · Physics 2008-02-14 Chikoo Oosawa , Kazuhiro Takemoto , Michael A. Savageau

Single-cell gene expression measurements offer opportunities in deriving mechanistic understanding of complex diseases, including cancer. However, due to the complex regulatory machinery of the cell, gene regulatory network (GRN) model…

Genomics · Quantitative Biology 2019-02-11 Ehsan Hajiramezanali , Mahdi Imani , Ulisses Braga-Neto , Xiaoning Qian , Edward R Dougherty

This paper investigates the learnability of the nonlinearity property of Boolean functions using neural networks. We train encoder style deep neural networks to learn to predict the nonlinearity of Boolean functions from examples of…

Machine Learning · Computer Science 2025-02-04 Sriram Ranga , Nandish Chattopadhyay , Anupam Chattopadhyay

Signaling pathways serve to communicate information about extracellular conditions into the cell, to both the nucleus and cytoplasmic processes to control cell responses. Genetic mutations in signaling network components are frequently…

Molecular Networks · Quantitative Biology 2021-06-15 Michael A. Kochen , Steven S. Andrews , H. Steven Wiley , Song Feng , Herbert M. Sauro

This short paper presents an abstract, tunable model of genomic structural change within the cell lifecycle and explores its use with simulated evolution. A well-known Boolean model of genetic regulatory networks is extended to include…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Larry Bull

This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network…

Dynamical Systems · Mathematics 2022-06-10 Claus Kadelka , Reinhard Laubenbacher , David Murrugarra , Alan Veliz-Cuba , Matthew Wheeler

We investigate the dynamical behavior of simple modules composed of two genes with two or three regulating connections. Continuous dynamics for mRNA and protein concentrations is compared to a Boolean model for gene activity. Using a…

Molecular Networks · Quantitative Biology 2013-05-29 Eva Gehrmann , Barbara Drossel