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Journal ArticleDOI

Boolean formalization of genetic control circuits

René Thomas
- 01 Dec 1973 - 
- Vol. 42, Iss: 3, pp 563-585
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TLDR
This paper is an attempt to formalize in Boolean terms genetic situations, from simple concepts like recessitivity and cis-dominance, to models describing complex control circuits, to describe in compact and unambiguous way, systems which become more and more difficult to describe as their complexity is being unravelled.
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This article is published in Journal of Theoretical Biology.The article was published on 1973-12-01. It has received 986 citations till now. The article focuses on the topics: Expression (mathematics) & Binary function.

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Citations
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Qualitative networks: a symbolic approach to analyze biological signaling networks

TL;DR: An approach for constructing computational models of biological systems that extends the framework of Boolean networks and uses formal verification methods for the analysis of the model is introduced, which can scale to multicellular models of complex pathways, and is therefore a useful tool for theAnalysis of complex biological systems.
Journal ArticleDOI

Polynomial algebra of discrete models in systems biology

TL;DR: A unified framework that can aid the mathematical analysis of Boolean network models, logical models and Petri nets can be provided, which allows the use of a variety of mathematical tools from computer algebra for their analysis.
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Gene Regulatory Network Reconstruction Using Bayesian Networks, the Dantzig Selector, the Lasso and Their Meta-Analysis

TL;DR: A simple yet very powerful meta-analysis is proposed, which combines a wide panel of methods ranging from Bayesian networks to penalised linear regressions to analyse gene regulatory networks from different genetical genomics data sets and was ranked first among the teams participating in Challenge 3A.
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Matrix formalism to describe functional states of transcriptional regulatory systems.

TL;DR: This study illustrates how the matrix representation of a TRS coupled with its environment (R*) allows for a sampling of all possible expression states of a given network, and furthermore, how the fundamental subspaces of the matrix provide a way to study key TRS features and may assist in experimental design.
References
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Journal ArticleDOI

Genetic regulatory mechanisms in the synthesis of proteins.

TL;DR: The synthesis of enzymes in bacteria follows a double genetic control, which appears to operate directly at the level of the synthesis by the gene of a shortlived intermediate, or messenger, which becomes associated with the ribosomes where protein synthesis takes place.
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Metabolic stability and epigenesis in randomly constructed genetic nets

TL;DR: The hypothesis that contemporary organisms are also randomly constructed molecular automata is examined by modeling the gene as a binary (on-off) device and studying the behavior of large, randomly constructed nets of these binary “genes”.
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INHIBITION BY GLUCOSE OF THE INDUCED SYNTHESIS OF THE β-GALACTOSIDE-ENZYME SYSTEM OF ESCHERICHIA COLI. ANALYSIS OF MAINTENANCE

TL;DR: The Novick-Weiner effect and the one to be analyzed here prove to be aspects of the same situation and a heterogeneity with respect to the induced synthesis of ,B-galactosidase simulating genetic differences could be provoked within a growing population of otherwise identical cells.
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ANALYSIS OF THE DIFFERENTIATION AND OF THE HETEROGENEITY WITHIN A POPULATION OF ESCHERICHIA COLI UNDERGOING INDUCED β-GALACTOSIDASE SYNTHESIS

TL;DR: The kinetics of induction of the galactozymase of certain yeasts and the permease-3-galactosidase system of Escherichia coli can, under certain conditions, be described as autocatalytic.
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Functional analysis of chemical systems in vivo using a logical circuit equivalent. II. The idea of a molecular automaton

TL;DR: The theory presented by the author in his previous paper in this journal, which concerned the use of logical circuits or symbolic logic, is revised and extended and the idea of a molecular automaton is introduced.
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