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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 train a network to generate mappings between training sets and classification policies (a 'classifier generator') by conditioning on the entire training set via an attentional mechanism. The network is directly optimized for test set…

Machine Learning · Computer Science 2018-04-02 Nicholas Guttenberg , Ryota Kanai

Motivation: Many problems in biomedicine and other areas of the life sciences can be characterized as control problems, with the goal of finding strategies to change a disease or otherwise undesirable state of a biological system into…

Molecular Networks · Quantitative Biology 2016-10-04 David Murrugarra , Alan Veliz-Cuba , Boris Aguilar , Reinhard Laubenbacher

Progress in cell type reprogramming has revived the interest in Waddington's concept of the epigenetic landscape. Recently researchers developed the quasi-potential theory to represent the Waddington's landscape. The Quasi-potential U(x),…

Molecular Networks · Quantitative Biology 2016-05-09 Joseph Xu Zhou , Areejit Samal , Aymeric Fouquier d'Hèrouël , Nathan D. Price , Sui Huang

A Boolean network is a finite dynamical system, whose variables take values from a binary set. The value update rule for each variable is a Boolean function, depending on a selected subset of variables. Boolean networks have been widely…

Dynamical Systems · Mathematics 2017-08-10 Zuguang Gao , Xudong Chen , Tamer Başar

In problems such as variable selection and graph estimation, models are characterized by Boolean logical structure such as presence or absence of a variable or an edge. Consequently, false positive error or false negative error can be…

Methodology · Statistics 2025-04-15 Armeen Taeb , Peter Bühlmann , Venkat Chandrasekaran

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…

Molecular Networks · Quantitative Biology 2007-11-21 German A. Enciso , Winfried Just

Beyond identifying genetic variants, we introduce a set of Boolean relations that allows for a comprehensive classification of the relations for every pair of variants by taking all minimal alignments into account. We present an efficient…

Genomics · Quantitative Biology 2023-01-04 Jonathan K. Vis , Mark A. Santcroos , Walter A. Kosters , Jeroen F. J. Laros

Boolean networks have long been used as models of molecular networks and play an increasingly important role in systems biology. This paper describes a software package, Polynome, offered as a web service, that helps users construct Boolean…

Connecting the dynamics of biomolecular networks to experimentally measurable cell phenotypes remains a central challenge in systems biology. Here we introduce a model-based definition of phenotype as a partial steady state that is…

Molecular Networks · Quantitative Biology 2026-02-18 Samuel Pastva , Kyu Hyong Park , Jordan C. Rozum , Van-Giang Trinh , Réka Albert

Learning a Bayesian network is an NP-hard problem and with an increase in the number of nodes, classical algorithms for learning the structure of Bayesian networks become inefficient. In recent years, some methods and algorithms for…

Machine Learning · Computer Science 2022-08-23 Yury Kaminsky , Irina Deeva

This paper investigates the problem of decomposition with respect to outputs for Boolean control networks (BCNs). First, with the linear expression of BCNs and the matrix semi-tensor product, some algebraic equivalent conditions for the…

Optimization and Control · Mathematics 2014-07-09 Yunlei Zou , Jiandong Zhu

Random Boolean networks have been used widely to explore aspects of gene regulatory networks. A modified form of the model through which to systematically explore the effects of increasing the number of gene states has previously been…

Molecular Networks · Quantitative Biology 2023-02-06 Larry Bull

The goal of this tutorial is to promote interest in the study of random Boolean networks (RBNs). These can be very interesting models, since one does not have to assume any functionality or particular connectivity of the networks to study…

Adaptation and Self-Organizing Systems · Physics 2009-09-29 Carlos Gershenson

Biological processes, including cell differentiation, organism development, and disease progression, can be interpreted as attractors (fixed points or limit cycles) of an underlying networked dynamical system. In this paper, we study the…

Systems and Control · Computer Science 2017-01-20 Andrew Clark , Phillip Lee , Basel Alomair , Linda Bushnell , Radha Poovendran

Identity, response to external stimuli, and spatial architecture of a living system are central topics of molecular biology. Presently, they are largely seen as a result of the interplay between a gene repertoire and the regulatory…

Molecular Networks · Quantitative Biology 2007-05-23 M. Cosentino Lagomarsino , P. Jona , B. Bassetti

The application of Bayesian networks (BNs) to cognitive assessment and intelligent tutoring systems poses new challenges for model construction. When cognitive task analyses suggest constructing a BN with several latent variables, empirical…

Artificial Intelligence · Computer Science 2013-01-18 David M. Williamson , Russell Almond , Robert Mislevy

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…

Adaptation and Self-Organizing Systems · Physics 2010-09-24 Carlos Gershenson

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

We provide a scheme for inferring causal relations from uncontrolled statistical data based on tools from computational algebraic geometry, in particular, the computation of Groebner bases. We focus on causal structures containing just two…

Machine Learning · Statistics 2017-10-18 Ciarán M. Lee , Robert W. Spekkens
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