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The problem of reliability of the dynamics in biological regulatory networks is studied in the framework of a generalized Boolean network model with continuous timing and noise. Using well-known artificial genetic networks such as the…

分子网络 · 定量生物学 2008-05-28 Stefan Braunewell , Stefan Bornholdt

The observed spatio-temporal ciliary beat patterns on multiciliated epithelia are suspected to be the result of self-organizing processes on various levels. Here, we present an abstract epithelium model at the pluricellular level, which…

软凝聚态物质 · 物理学 2019-07-30 Martin Schneiter , Jaroslav Ricka , Martin Frenz

In automata networks, it is well known that the way entities update their states over time has a major impact on their dynamics. In particular, depending on the chosen update schedule, the underlying dynamical systems may exhibit more or…

离散数学 · 计算机科学 2022-04-25 Jacques Demongeot , Sylvain Sené

The last decade has witnessed a surge of theoretical and computational models to describe the dynamics of complex gene regulatory networks, and how these interactions can give rise to multistable and heterogeneous cell populations. As the…

分子网络 · 定量生物学 2023-06-28 Federico Bocci , Dongya Jia , Qing Nie , Mohit Kumar Jolly , Jose Onuchic

Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous media or plasmodial shuttle streaming in slime molds.…

生物物理 · 物理学 2016-07-28 Francis G. Woodhouse , Aden Forrow , Joanna B. Fawcett , Jörn Dunkel

Computational models of biological processes provide one of the most powerful methods for a detailed analysis of the mechanisms that drive the behavior of complex systems. Logic-based modeling has enhanced our understanding and…

分子网络 · 定量生物学 2022-02-08 John Zobolas , Pedro T. Monteiro , Martin Kuiper , Åsmund Flobak

Cell polarization underlies many cellular processes, such as differentiation, migration, and budding. Many living cells, such as budding yeast and fission yeast, use cytoskeletal structures to actively transport proteins to one location on…

生物物理 · 物理学 2022-06-22 Harmen Wierenga , Pieter Rein ten Wolde

The relationship between the regulatory design and the functionality of molecular networks is a key issue in biology. Modules and motifs have been associated to various cellular processes, thereby providing anecdotal evidence for…

分子网络 · 定量生物学 2008-03-04 Jacob Bock Axelsen , Sebastian Bernhardsson , Kim Sneppen

This paper presents a real-time simulation involving ''protozoan-like'' cells that evolve by natural selection in a physical 2D ecosystem. Selection pressure is exerted via the requirements to collect mass and energy from the surroundings…

神经与进化计算 · 计算机科学 2023-05-23 Dylan Cope

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…

统计力学 · 物理学 2013-05-30 Shane Squires , Edward Ott , Michelle Girvan

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…

离散数学 · 计算机科学 2024-02-12 Kévin Perrot , Sylvain Sené , Léah Tapin

Boolean networks have been the object of much attention, especially since S. Kauffman proposed them in the 1960's as models for gene regulatory networks. These systems are characterized by being defined on a Boolean state space and by…

分子网络 · 定量生物学 2007-11-21 German A. Enciso , Winfried Just

This paper uses a recently presented abstract, tuneable Boolean regulatory network model extended to consider aspects of mobile DNA, such as transposons. The significant role of mobile DNA in the evolution of natural systems is becoming…

计算工程、金融与科学 · 计算机科学 2013-06-25 Larry Bull , Andrew Adamatzky

The dynamics of noise-resilient Boolean networks with majority functions and diverse topologies is investigated. A wide class of possible topological configurations is parametrized as a stochastic blockmodel. For this class of networks, the…

无序系统与神经网络 · 物理学 2012-01-11 Tiago P. Peixoto

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…

计算工程、金融与科学 · 计算机科学 2016-05-04 Andrzej Mizera , Jun Pang , Qixia Yuan

The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between…

统计力学 · 物理学 2007-05-23 Min Liu , Kevin E. Bassler

Simulation of biomolecular networks is now indispensable for studying biological systems, from small reaction networks to large ensembles of cells. Here we present a novel approach for stochastic simulation of networks embedded in the…

定量方法 · 定量生物学 2016-09-28 Margaritis Voliotis , Philipp Thomas , Ramon Grima , Clive G. Bowsher

Continuous-time systems with switch-like behaviour occur in chemical kinetics, gene regulatory networks and neural networks. Networks with hard switching, as a limiting case of smooth sigmoidal switching, retain the richest possible range…

动力系统 · 数学 2019-05-10 Roderick Edwards

This paper studies the mathematical properties of collectively canalizing Boolean functions, a class of functions that has arisen from applications in systems biology. Boolean networks are an increasingly popular modeling framework for…

离散数学 · 计算机科学 2023-06-07 Claus Kadelka , Benjamin Keilty , Reinhard Laubenbacher

Oscillations lie at the core of many biological processes, from the cell cycle, to circadian oscillations and developmental processes. Time-keeping mechanisms are essential to enable organisms to adapt to varying conditions in environmental…

机器学习 · 统计学 2015-04-27 D Trejo , AJ Millar , G Sanguinetti