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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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Journal ArticleDOI

Identification of biological regulatory networks from Process Hitting models

TL;DR: The inference of the Interaction Graph from a PH model summarizes the signed influences between the components that are effective for the dynamics, and provides the inference of all Rene Thomas models of BRNs that are compatible with a given PH.
Posted ContentDOI

Dynamic patterning by the Drosophila pair-rule network reconciles long-germ and short-germ segmentation

TL;DR: This result suggests that dynamic shifts of pair-rule stripes are essential for segment patterning in the trunk, and provides a functional role for observed posterior-to-anterior gap domain shifts that occur during cellularisation.
Journal ArticleDOI

Using single-index ODEs to study dynamic gene regulatory network.

TL;DR: This work proposes a single-index ordinary differential equation model for dynamic gene regulatory networks, and develops a variable selection procedure that identifies the interactions that may be missed by linear ODE models but confirmed in biological studies.
Journal ArticleDOI

Timed Modelling of Gene Networks with Arbitrarily Precise Expression Discretization

TL;DR: A novel approach to discrete modeling of gene regulatory networks is presented by introducing delays that change dynamically with respect to current activity levels of regulating genes.
Book ChapterDOI

Qualitative Analysis of Genetic Regulatory Networks in Bacteria

TL;DR: The application of model reduction approaches based on QSS and PL approximations may result in models that are easier to handle mathematically and computationally, and illustrate the use of these techniques in the case of the E. coli network.
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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