G-quadruplex formation in genomic DNA is considered to regulate transcription. Previous investigations almost exclusively focused on intramolecular G-quadruplexes formed by DNA carrying four or more G-tracts, and structure formation has rarely been studied in physiologically relevant processes. Here, we report an almost entirely neglected, but actually much more prevalent form of G-quadruplexes, DNA:RNA hybrid G-quadruplexes (HQ) that forms in transcription. HQ formation requires as few as two G-tracts instead of four on a non-template DNA strand. Potential HQ sequences (PHQS) are present in >97% of human genes, with an average of 73 PHQSs per gene. HQ modulates transcription under both in vitro and in vivo conditions. Transcriptomal analysis of human tissues implies that maximal gene expression may be limited by the number of PHQS in genes. These features suggest that HQs may play fundamental roles in transcription regulation and other transcription-mediated processes.

The DFT-D method is shown to yield interaction energies between biologically important groups to an accuracy comparable to that obtained using state-of-the-art ab initio methods.

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We investigate how digital quantum computers may be used to calculate molecular vibrational properties, such as energy levels and spectral information.

Topological lasers are immune to imperfections and disorder. They have been recently demonstrated based on many kinds of robust edge states, which are mostly at the microscale. The realization of 2D on-chip topological nanolasers with a small footprint, a low threshold and high energy efficiency has yet to be explored. Here, we report the first experimental demonstration of a topological nanolaser with high performance in a 2D photonic crystal slab. A topological nanocavity is formed utilizing the Wannier-type 0D corner state. Lasing behaviour with a low threshold of approximately 1 µW and a high spontaneous emission coupling factor of 0.25 is observed with quantum dots as the active material. Such performance is much better than that of topological edge lasers and comparable to that of conventional photonic crystal nanolasers. Our experimental demonstration of a low-threshold topological nanolaser will be of great significance to the development of topological nanophotonic circuitry for the manipulation of photons in classical and quantum regimes.

Semiclassical Transition State Theory (SCTST), a method for calculating rate constants of chemical reactions, offers gains in computational efficiency relative to more accurate quantum scattering methods. In full-dimensional (FD) SCTST, reaction probabilities are calculated from third and fourth potential derivatives along all vibrational degrees of freedom. However, the computational cost of FD SCTST scales unfavorably with system size, which prohibits its application to larger systems. In this study, the accuracy and efficiency of 1-D SCTST, in which only third and fourth derivatives along the reaction mode are used, are investigated in comparison to those of FD SCTST. Potential derivatives are obtained from numerical ab initio Hessian matrix calculations at the MP2/cc-pVTZ level of theory, and Richardson extrapolation is applied to improve the accuracy of these derivatives. Reaction barriers are calculated at the CCSD(T)/cc-pVTZ level. Results from FD SCTST agree with results from previous theoretical and experimental studies when Richardson extrapolation is applied. Results from our implementation of 1-D SCTST, which uses only 4 single-point MP2/cc-pVTZ energy calculations in addition to those for conventional TST, agree with FD results to within a factor of 5 at 250 K. This degree of agreement and the efficiency of the 1-D method suggest its potential as a means of approximating rate constants for systems too large for existing quantum scattering methods.

We recently reported that a DNA:RNA hybrid G-quadruplex (HQ) forms during transcription of DNA that bears two or more tandem guanine tracts (G-tract) on the nontemplate strand. Putative HQ-forming sequences are enriched in the nearby 1000 nt region right downstream of transcription start sites in the nontemplate strand of warm-blooded animals, and HQ regulates transcription under both in vitro and in vivo conditions. Therefore, knowledge of the mechanism of HQ formation is important for understanding the biological function of HQ as well as for manipulating gene expression by targeting HQ. In this work, we studied the mechanism of HQ formation using an in vitro T7 transcription model. We show that RNA synthesis initially produces an R-loop, a DNA:RNA heteroduplex formed by a nascent RNA transcript and the template DNA strand. In the following round of transcription, the RNA in the R-loop is displaced, releasing the RNA in single-stranded form (ssRNA). Then the G-tracts in the RNA can jointly form HQ with those in the nontemplate DNA strand. We demonstrate that the structural cascade R-loop → ssRNA → HQ offers opportunities to intercept HQ formation, which may provide a potential method to manipulate gene expression.