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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

Estimation of delays in generalized asynchronous Boolean networks

TL;DR: A new generalized asynchronous Boolean network (GABN) model is proposed that captures the biological reality of cellular dynamics without compromising the computational efficiency of the Boolean framework.
Book ChapterDOI

Minimal Trap Spaces of Logical Models are Maximal Siphons of Their Petri Net Encoding

TL;DR: In this article , the authors present an alternative method to compute minimal trap spaces, and hence complex attractors, of a Boolean model, which replaces the need for prime-implicants by a completely different technique, namely the enumeration of maximal siphons in the Petri net encoding of the original model.
Dissertation

The Algebra of Systems Biology

TL;DR: This work shows how tools from mathematics are suitable to study problems in systems biology such as modeling, dynamics prediction, reverse engineering and many others.
Journal ArticleDOI

Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays

TL;DR: In this article, the global exponential stability of genetic regulatory networks with time-varying delays and continuous distributed delays was investigated, and new conditions of delay-dependent stability were obtained in the form of linear matrix inequality (LMI).
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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