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The critical boundaries separating ordered from chaotic behavior in randomly wired S-state networks are calculated. These networks are a natural generalization of random Boolean nets and are proposed as on extended approach to genetic…

adap-org · 物理学 2007-05-23 Ricard V. Sole , Bartolo Luque , Stuart Kauffman

Despite their topological complexity almost all functional properties of metabolic networks can be derived from steady-state dynamics. Indeed, many theoretical investigations (like flux-balance analysis) rely on extracting function from…

分子网络 · 定量生物学 2009-11-13 Carsten Marr , Mark Mueller-Linow , Marc-Thorsten Huett

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…

适应与自组织系统 · 物理学 2010-09-24 Carlos Gershenson

One way to model telecommunication networks are static Boolean models. However, dynamics such as node mobility have a significant impact on the performance evaluation of such networks. Consider a Boolean model in $\mathbb{R}^d$ and a random…

概率论 · 数学 2021-12-24 Nils Aschenbruck , Stephan Bussmann , Hanna Döring

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

系统与控制 · 电气工程与系统科学 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

The regulatory mechanisms driving progression of the yeast cell cycle appears to be comprised of an interacting network of transcription factors (TFs), cyclin-dependent kinases (CDK) and ubiquitin ligases. From a systems perspective the…

Methods for learning Bayesian network structure can discover dependency structure between observed variables, and have been shown to be useful in many applications. However, in domains that involve a large number of variables, the space of…

机器学习 · 计算机科学 2012-12-12 Eran Segal , Dana Pe'er , Aviv Regev , Daphne Koller , Nir Friedman

We study transient sequential dynamics of evolving dynamical networks, i.e., those having active nodes and links and activity-dependent topology. We show that such networks can generate sequences of metastable cluster states where each…

混沌动力学 · 物理学 2014-12-01 Oleg V. Maslennikov , Vladimir I. Nekorkin

Control of the living cell functions with remarkable reliability despite the stochastic nature of the underlying molecular networks -- a property presumably optimized by biological evolution. We here ask to what extent the property of a…

分子网络 · 定量生物学 2009-11-13 Stefan Braunewell , Stefan Bornholdt

A major goal in genomics is to properly capture the complex dynamical behaviors of gene regulatory networks (GRNs). This includes inferring the complex interactions between genes, which can be used for a wide range of genomics analyses,…

分子网络 · 定量生物学 2023-01-18 Mohammad Alali , Mahdi Imani

Mathematical models of stem cell differentiation are commonly based upon the concept of subsequent cell fate decisions, each controlled by a gene regulatory network. These networks exhibit a multistable behavior and cause the system to…

定量方法 · 定量生物学 2011-07-06 Christian Breindl , Daniella Schittler , Steffen Waldherr , Frank Allgöwer

Cellular phenotypes are determined by the dynamical activity of networks of co-regulated genes. Elucidating such networks is crucial for the understanding of normal cell physiology as well as for the dissection of complex pathologic…

分子网络 · 定量生物学 2007-05-23 Kai Wang , Nilanjana Banerjee , Adam Margolin , Ilya Nemenman , Katia Basso , Riccardo Favera , Andrea Califano

The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which the majority of its elements acquire the same…

无序系统与神经网络 · 物理学 2007-05-23 Cristian Huepe , Maximino Aldana

Homeostasis of protein concentrations in cells is crucial for their proper functioning, and this requires concentrations (at their steady-state levels) to be stable to fluctuations. Since gene expression is regulated by proteins such as…

生物物理 · 物理学 2020-11-10 Yipei Guo , Ariel Amir

Gene regulatory dynamics is governed by molecular processes and therefore exhibits an inherent stochasticity. However, for the survival of an organism it is a strict necessity that this intrinsic noise does not prevent robust functioning of…

分子网络 · 定量生物学 2007-05-23 Stefan Braunewell , Stefan Bornholdt

In living cells, biochemical reactions are catalyzed by specific enzymes and connect to one another by sharing substrates and products, forming complex networks. In our previous studies, we established a framework determining the responses…

分子网络 · 定量生物学 2017-09-06 Takashi Okada , Atsushi Mochizuki

Recent experimental advances in biology allow researchers to obtain gene expression profiles at single-cell resolution over hundreds, or even thousands of cells at once. These single-cell measurements provide snapshots of the states of the…

计算工程、金融与科学 · 计算机科学 2018-01-18 Jasmin Fisher , Ali Sinan Köksal , Nir Piterman , Steven Woodhouse

Living systems are often described utilizing informational analogies. An important open question is whether information is merely a useful conceptual metaphor, or intrinsic to the operation of biological systems. To address this question,…

分子网络 · 定量生物学 2015-08-19 Hyunju Kim , Paul Davies , Sara Imari Walker

Since their introduction, Boolean networks have been traditionally studied in view of their rich dynamical behavior under different update protocols and for their qualitative analogy with cell regulatory networks. More recently, tools…

无序系统与神经网络 · 物理学 2007-05-23 Michele Leone , Andrea Pagnani , Giorgio Parisi , Osvaldo Zagordi

Nested structure, which is non-random, controls cooperation dynamics and biodiversity in plant-animal mutualistic networks. This structural pattern has been explained in a static (non-growth) network models. However, evolutionary processes…

种群与进化 · 定量生物学 2015-03-19 Kazuhiro Takemoto , Masanori Arita