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We determine stability and attractor properties of random Boolean genetic network models with canalyzing rules for a variety of architectures. For all power law, exponential, and flat in-degree distributions, we find that the networks are…

分子网络 · 定量生物学 2007-05-23 Stuart Kauffman , Carsten Peterson , Björn Samuelsson , Carl Troein

As a discrete approach to genetic regulatory networks, Boolean models provide an essential qualitative description of the structure of interactions among genes and proteins. Boolean models generally assume only two possible states…

分子网络 · 定量生物学 2007-05-23 Madalena Chaves , Eduardo D. Sontag , Reka Albert

Cells coexist together in colonies or as tissues. Their behaviour is controlled by an interplay between intercellular forces and biochemical regulation. We develop a simple model of the cell cycle, the fundamental regulatory network…

生物物理 · 物理学 2021-08-04 Jintao Li , Simon K. Schnyder , Matthew S. Turner , Ryoichi Yamamoto

Control problem in a biological system is the problem of finding an interventional policy for changing the state of the biological system from an undesirable state, e.g. disease, into a desirable healthy state. Boolean networks are utilized…

分子网络 · 定量生物学 2016-09-07 Mohammad Moradi , Sama Goliaei

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…

统计力学 · 物理学 2009-11-11 L. Correale , M. Leone , A. Pagnani , M. Weigt , R. Zecchina

A model of cellular metabolism due to S. Kauffman is analyzed. It consists of a network of Boolean gates randomly assembled according to a probability distribution. It is shown that the behavior of the network depends very critically on…

适应与自组织系统 · 物理学 2009-11-07 James F. Lynch

Genetic regulatory networks control ontogeny. For fifty years Boolean networks have served as models of such systems, ranging from ensembles of random Boolean networks as models for generic properties of gene regulation to working dynamical…

分子网络 · 定量生物学 2019-02-04 Stefan Bornholdt , Stuart Kauffman

Complex diseases can be modeled as damage to intracellular networks that results in abnormal cell behaviors. Network-based dynamic models such as Boolean models have been employed to model a variety of biological systems including those…

生物物理 · 物理学 2016-12-30 Gang Yang , Colin Campbell , Réka Albert

Boolean networks are special types of finite state time-discrete dynamical systems. A Boolean network can be described by a function from an n-dimensional vector space over the field of two elements to itself. A fundamental problem in…

定量方法 · 定量生物学 2013-07-03 Yi Ming Zou

Effective control of biological systems can often be achieved through the control of a surprisingly small number of distinct variables. We bring clarity to such results using the formalism of Boolean dynamical networks, analyzing the…

分子网络 · 定量生物学 2021-09-13 Enrico Borriello , Bryan C. Daniels

Interactions between genes and gene products give rise to complex circuits that enable cells to process information and respond to external signals. Theoretical studies often describe these interactions using continuous, stochastic, or…

分子网络 · 定量生物学 2007-05-23 Madalena Chaves , Reka Albert , Eduardo D. Sontag

The galactose network is a complex system responsible for galactose metabolism. It has been extensively studied experimentally and mathematically at the unicellular level to broaden our understanding of its regulatory mechanisms at higher…

分子网络 · 定量生物学 2016-02-12 Tina M. Mitre , Anmar Khadra , Michael C. Mackey

Genome-scale metabolic models have become a fundamental tool for examining metabolic principles. However, metabolism is not solely characterized by the underlying biochemical reactions and catalyzing enzymes, but also affected by regulatory…

分子网络 · 定量生物学 2019-06-19 Anne Grimbs , David F. Klosik , Stefan Bornholdt , Marc-Thorsten Hütt

Complex network dynamics have been analyzed with models of systems of coupled switches or systems of coupled oscillators. However, many complex systems are composed of components with diverse dynamics whose interactions drive the system's…

定量方法 · 定量生物学 2012-01-09 Matthew R. Francis , Elana J. Fertig

Using Boolean networks as prototypical examples, the role of symmetry in the dynamics of heterogeneous complex systems is explored. We show that symmetry of the dynamics, especially in critical states, is a controlling feature that can be…

统计力学 · 物理学 2015-06-19 Shabnam Hossein , Matthew D. Reichl , Kevin E. Bassler

Deciphering gene regulatory networks is a central problem in computational biology. Here, we explore the use of multi-modal neural networks to learn predictive models of gene expression that include cis and trans regulatory components. We…

We present BoolSi, an open-source cross-platform command line tool for distributed simulations of deterministic Boolean networks with synchronous update. It uses MPI standard to support execution on computational clusters, as well as…

分子网络 · 定量生物学 2019-10-22 Vladyslav Oles , Anton Kukushkin

Complex systems are often modeled as Boolean networks in attempts to capture their logical structure and reveal its dynamical consequences. Approximating the dynamics of continuous variables by discrete values and Boolean logic gates may,…

分子网络 · 定量生物学 2013-05-29 Johannes Norrell , Joshua E. S. Socolar

The relationship between the properties of a dynamical system and the structure of its defining equations has long been studied in many contexts. Here we study this problem for the class of conjunctive (resp. disjunctive) Boolean networks,…

组合数学 · 数学 2008-05-13 Abdul Salam Jarrah , Reinhard Laubenbacher , Alan Veliz-Cuba

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

神经与进化计算 · 计算机科学 2013-06-21 Larry Bull