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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

Dynamics in high-dimensional model gene networks

TL;DR: Dynamical dynamics in a class of ordinary differential equations representing a simplified model of a genetic network, which enables us to determine changes in the distribution of dynamical properties of random networks as the size of the networks increase and as the number of inputs to each gene increases.
Journal ArticleDOI

Number of Fixed Points and Disjoint Cycles in Monotone Boolean Networks

TL;DR: In this article, the maximum number of fixed points in a monotone Boolean network with interaction graph is studied and upper and lower bounds on the number of vertices in the largest sublattice of the network.
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Advances in the integration of transcriptional regulatory information into genome-scale metabolic models.

TL;DR: Here, a review of the existing methods to integrate transcriptional regulatory information into constraint-based models of metabolic networks in order to increase the predictive capabilities of computational models and understand the regulation of cellular metabolism.
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Functional states of the genome-scale Escherichia coli transcriptional regulatory system.

TL;DR: This work demonstrates for the first time how this matrix formalism is extendable to large-scale systems by applying it to the genome-scale Escherichia coli TRS and analyzes the fundamental subspaces of the regulatory network matrix to describe intrinsic properties of the TRS.
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H∞ mode-independent filter design for Markovian jump genetic regulatory networks with time-varying delays

TL;DR: Using mode-dependent Lyapunov–Krasovski functionals, appropriate conditions for the stochastic stability and disturbance attenuation of mixed GRN/filter system is derived and mode independent filter gains are obtained from some sufficient conditions in the form of linear matrix inequalities which are easy to solve by numerical methods.
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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