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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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Book ChapterDOI

Computational Challenges in Systems Biology

TL;DR: This chapter examines the challenges and some of the recent advances in computational systems biology and advanced research in coarse graining will pave the way for progress in the development of multiscale multidomain modeling that can connect fundamental research in network biology to clinical research.
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Fixed points of Boolean networks, guessing graphs, and coding theory

TL;DR: In this article, the authors derived upper and lower bounds on the number of fixed points of functions over a finite alphabet defined on a given signed digraph, and showed that functions with more positive cycles do not necessarily have more fixed points.

On the number of attractors of Boolean automata circuits

TL;DR: This work proves how to obtain formally the exact value of the total number of attractor of a circuit of arbitrary size n as well as the number of its attractors of period p depending on whether the circuit has an even or an odd number of inhibitions.
Journal ArticleDOI

A qualitative study of an idiotypic cyclic network

TL;DR: This work studies a network made up of small cycles of idiotypic units, each element activating the subsequent one and repressing the preceding one, and suggests to interpret the response to an antigenic challenge as a transition from one steady state to another.

Artificial Ontogenies: A Computational Model of the Control and Evolution of Development

TL;DR: A network-lineage model of artificial ontogenies is described that incorporates a developmental mapping between the dynamics of a gene network and a cell lineage representation of a phenotype, suggesting that the levels of ontogenetic complexity observed in biological organisms may be a product of the network architecture of developmental control.
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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