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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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Proceedings ArticleDOI

State Space Exploration of Spatially Organized Populations of Agents

TL;DR: This paper sketches the modeling framework and its semantics and shows how IRN may be used for the modeling of a population of simple agents, the automatic analysis of various reach ability properties and the use of symmetries to reduce the size of the state space.
Book ChapterDOI

Critical Delays in Logical Asynchronous Models

TL;DR: This work describes the kinetic logic formalization of a model as a complementary tool to the classical continuous formalism which is more limited in the number of state variables it can handle and is very sensitive to the nonlinear character of the kinetic differential equations.
Dissertation

Etude de la dynamique des mécanismes de la répression catabolique : des modèles mathématiques aux données expérimentales

TL;DR: In this paper, the authors propose an approche mathematique and experimentale for separer and evaluer l'importance of different mecanismes of the repression catabolique.
Journal ArticleDOI

Biocircuits in plants and eukaryotic algae

TL;DR: It is envisioned that the modulatory structural feature and the possibility of finer gene regulation through biocircuits can contribute to the complex design of synthetic chromosomes aiming to develop plants and algae with new or improved functions.
Posted Content

On the complexity of acyclic modules in automata networks

TL;DR: This paper provides results that offer an upper bound on the number of attractors in an acyclic module when wired recursively into an automata network, alongside a diversity of complexity results around the difficulty of deciding the existence of cycles depending on theNumber of inputs and the size of said cycle.
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.
Journal ArticleDOI

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”.
Journal ArticleDOI

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.
Journal ArticleDOI

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.
Journal ArticleDOI

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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