Publications by authors named "Iu Magarshak"

In [1], the existence of two competing secondary structures at the 5'-end of Leptomonas collosoma spliced leader RNA was shown. On going from one steady-state secondary structure to the other, and vice versa, RNA passes through several states in which the chain gets tied up into nodes. If the transitions are reversible, the nodes are figurative both in the forth and back directions although the secondary structures that arise in this process are quite different, and the forth and back routs do not coincide.

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As it was shown in studies of J. Dubochet using the recently developed method of three-dimensional cryo-microscopy, the interaction of RNA polymerase with plasmid gives rise to a superhelical structure. In this process, two RNA polymerase molecules are located at opposite ends of the plasmid at the tops of the superhelix.

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In the present contribution the algebra of color vision has been developed. This algebra is similar to that of spinors. In this formalism, white color corresponds to zero, and any color on color circle goes to complex number.

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The sequence of nucleotides in a single-stranded RNA molecule is represented by a complex vector, whose k-th component corresponds to the k-th base of the sequence ordered in the 5'3' direction. An analysis of the proposed formalisms permits to predict a new type of reversible conformational transitions between the secondary structure patterns of RNA which may have an oscillatory character. A possible experimental approach based on the ESR technique for recording and time-scale estimation of these transitions is proposed.

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With the help of retarded double-time Green function technique a method of estimation of electron transfer rate in protein macromolecules has been developed. Possible experimental test is suggested.

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It was demonstrated that the relations between substrate and product concentrations for a reaction catalyzed by michaelian enzyme incorporated in a multienzyme system can be graphically represented by a diverging set of straight lines intersecting in one point, the flux velocity being treated as a parameter. A competitive inhibitor shifts the intersection point along the line of equilibrium state. The relations between the concentrations of more than two reagents are represented by a set of equivelocity surfaces.

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Methods based on the graphical representation of relations between metabolites concentrations were worked out for the description and analysis of the steady-state kinetics of the multienzyme systems. The properties of graphics characterizing various steady-state regimens were investigated. Relations relevant to the analysis of regulatory phenomena were derived for the concentration of non-adjacent metabolites.

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A new graphic method is proposed to solve kinetic equations for polyenzymic reactions. Each graph apex is corresponded by the transmitting function deduced from kinetic equations by means of Laplas transformation. Application of this procedure allows to simplify the solution of kinetic equations and its analysis.

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