A simple framework to describe the regulation of gene expression in prokaryotes

Based on the bimolecular mass action law and the derived mass conservation laws, we propose a mathematical framework in order to describe the regulation of gene expression in prokaryotes. It is shown that the derived models have all the qualitative properties of the activation and inhibition regulatory mechanisms observed in experiments. The basic construction considers genes as templates for protein production, where regulation processes result from activators or repressors connecting to DNA binding sites. All the parameters in the models have a straightforward biological meaning. After describing the general properties of the basic mechanisms of positive and negative gene regulation, we apply this framework to the self-regulation of the trp operon and to the genetic switch involved in the regulation of the lac operon. One of the consequences of this approach is the existence of conserved quantities depending on the initial conditions that tune bifurcations of fixed points. This leads naturally to a simple explanation of threshold effects as observed in some experiments.     

Établissement d'une nouvelle lignée cellulaire (IAFEs-1) a partir d'ovarioles d'Euxoa scandens [Lep.: Noctuidae]

Résumé Une nouvelle lignée cellulaire stable (IAFEs-1) des ovarioles de chrysalides du lepidoptèreEuxoa scandens Riley a été obtenue. La forme prédominante des cellules est sphérique et le doublement de la population cellulaire s'effectue en 18 et 24 h en utilisant respectivement 20 et 10% de sérum de veau foetal. Cette lignée est sensible à divers virus des polyédroses nucléaires et cytoplasmiques.

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Summary A new continuous cell line designated IAFEs-1 was obtained from ovaries ofEuxoa scandens Riley in order to study the replication and the productionin vitro of viruses infecting this cutworm. Predominant cell morphology is spherical and cell population doubling time is 18 and 24 h using respectively 20 and 10% fetal calf serum. Susceptiblity of the cell line to several nuclear and cytoplasmic polyhedrosis viruses is demonstrated.

     

The use of fluorescence anisotropy decay of poly d(A-T) ethidium bromide complex to estimate the unwinding angle of the double helix.

We measured the fluorescence decay under polarized light, of ethidium bromide bound to the poly d(A-T) isolated from Cancer Pagurus. The decay of the whole fluorescence is a single exponential function revealing a good homogeneity of the binding sites. The anisotropy decay due to energy transfers between the ethidium bromide molecules bound to a same poly d(A-T) molecule has been analysed, with a Monte Carlo calculation. We found the dye unwinds the poly d(A-T) duplex by an angle of 17 degrees plus or minus 2 degrees. This result is in agreement with the value previously found in the case of calf thymus DNA-ethidium bromide complex, although the base compositions of the two nucleic acids are different.     

Energy migration in the poly(ra-rU)-ethidium complex. determination of the unwinding angle of the polyribonucleic helix

The polarized fluorescence of the ethidium bromide (EB)-poly(rA-rU) complex has been studied by pulse fluorometry. As expected for a polynucleotide snowing one single kind of intercalation site, the decay of the whole emission is a single exponential (time constant 27 ns). The anisotropy decay is analysed as follows: (1) A brownian contribution having two correlation times, one of which characterizes local motions and the other a macromolecular motion. (2) A contribution due to transfers between EB molecules fixed to the same polynucleotide molecule, is analysed by a method analogous to the method used in previous work on EB-DNA complexes. That method consists in choosing a molecular model of the complex depending on geometrical parameters, and in simulating the energy migration on that model with a Monte Carlo calculation. Poly(rA-rU) is assumed here to adopt the structure A of RNA. Intercalated EB molecules modify the anale between two consecutive base pairs by δ. The angular position of the EB transition moment is defined by an angle φ. One finds that the angle φ is situated between 0° and 30°, which corresponds to a whole intercalation of the chroniophore as opposed to the semi-intercalation which has been proposed for certain dyes. The angle δ is negative; therefore there is an unwinding of the polyribonucleotide helix. Its absolute value is about 38°, sensibly greater than The value previously found for EB-DNA complexes.