The presence of low dimensional chaos in the protein secondary structures, using the binary coded $α$-helices and $β$-sheet motifs, has been investigated. In order to analyse symbolic DNA/RNA sequences the assignment, based on the purine/pyrimidine and strong/wea k H - bond classification sheme, of binary numbers to the nucleotides was made. We have found that this assignment leads to different averaged fractal dimensions for $α$-helices and $β$-sheets. When embedded in the two dimensional phase space the binary string structures show the attractor type behavior which depends on the value of the time lag parameter.
Exchange-Symmetric Dissipation at the DNA-RNA Polymerase Interface
Graduate School of Science, Tohoku University（东北大学大学院理学研究科）；Department of Drug Discovery Medicine, Graduate School of Medicine, Kyoto University（京都大学大学院医学研究科药物发现医学系）
Recent experiments showed that multiple copies of the molecular machine RNA polymerase (RNAP) can efficiently synthesize mRNA collectively in the active state of the promoter. However, environmentally-induced promoter repression results in long-distance antagonistic interactions that drastically reduce the speed of RNAPs and cause a quick arrest of mRNA synthesis. The mechanism underlying this transition between cooperative and antagonistic dynamics remains poorly understood. In this Letter, we introduce a continuum deterministic model for the translocation of RNAPs, where the speed of an RNAP…
We study unzipping of a complementary RNA-DNA helix applied to an external force, focusing on the force-force correlations. While at the microscopic level these are given by the sequence, the experiment measures effective, macroscopic correlations. The latter are sequence-independent, i.e. universal, and constitute the central object of the underlying field theory of disordered systems. Comparing field-theory predictions and the exact solution of a 1-d toy model with the experiment, we find an excellent agreement, confirming fundamental theoretical concepts via a biologically inspired experime…
In this study, we compare the charge transport properties of multiple (double stranded) dsRNA sequences with corresponding dsDNA sequences. Recent studies have presented a contradictory picture of relative charge transport efficiencies in A-form DNA:RNA hybrids and dsDNA. Using a multiscale modelling framework, we compute conductance of dsDNA and dsRNA using Landauer formalism in coherent limit and Marcus-Hush theory in the incoherent limit. We find that dsDNA conducts better than dsRNA in both the charge transport regimes. Our analysis shows that the structural differences in the twist angle …
The emerging field of hybrid DNA - protein nanotechnology brings with it the potential for many novel materials which combine the addressability of DNA nanotechnology with versatility of protein interactions. However, the design and computational study of these hybrid structures is difficult due to the system sizes involved. To aid in the design and in silico analysis process, we introduce here a coarse-grained DNA/RNA-protein model that extends the oxDNA/oxRNA models of DNA/RNA with a coarse-grained model of proteins based on an anisotropic network model representation. Fully equipped with an…
The folding of biological macromolecules is a fundamental process of which we lack a full comprehension. Mostly studied in proteins and RNA, single-stranded DNA (ssDNA) also folds, at physiological salt conditions, by forming non-specific secondary structures that are difficult to characterize with biophysical techniques. Here we present a helix-coil model for secondary structure formation, where ssDNA bases are organized in two different types of domains (compact and free). The model contains two parameters: the energy gain per base in a compact domain, $ε$, and the cooperativity related to t…
