Limit Theorems for Open Quantum Random Walks

We consider the limit distributions of open quantum random walks on one-dimensional lattice space. We introduce a dual process to the original quantum walk process, which is quite similar to the relation of Schrödinger-Heisenberg representation in quantum mechanics. By this, we can compute the distribution of the open quantum random walks concretely for many examples and thereby we can also obtain the limit distributions of them. In particular, it is possible to get rid of the initial state when we consider the evolution of the walk, it appears only in the last step of the computation.     

Quasilinearity of some composite functionals associated to Schwarz’s inequality for inner products

The quasilinearity of certain composite functionals associated to Schwarz’s celebrated inequality for inner products is investigated. Applications for operators in Hilbert spaces are given as well.     

Gravitational fermion production in inflationary cosmology

We revisit the gravitational production of massive Dirac fermions in inflationary cosmology with a focus on clarifying the analytic computation of the particle number density in both the large and the small mass regimes. For the case in which the masses of the gravitationally produced fermions are small compared to the Hubble expansion rate at the end of inflation, we obtain a universal result for the number density that is nearly independent of the details of the inflationary model. The result is identical to the case of conformally coupled scalars up to an overall multiplicative factor of order unity for reasons other than just counting the fermionic degrees of freedom.     

Molecular Cloning, Expression, and Enzymatic Analysis of Cathepsin X from Starfish (Asterina pectinifera)

Cathepsin X, also known as cathepsin Z, is referred to as a “lysosomal proteolytic enzyme” and a member of the peptidase C1 family, which is involved in various biological processes such as immune response, cell adhesion, and proliferation. In the present study, the cDNA of starfish (Asterina pectinifera), which is known to cause serious damage to commercial shellfish mariculture, cathepsin X (ApCtX) was isolated through the combination of homology molecular cloning and rapid amplification of cDNA ends (RACE) methods for the application to find a way to reduce/control starfish densities. The full-length of ApCtX gene was determined to consist of the 2,240 bp nucleotide sequence, which encoded for a preproprotein of 296 amino acids with a molecular mass of about 32.7 kDa. The tissue type expression of ApCtX was determined in various tissues of A. pectinifera and was shown most abundantly in the liver. The cDNA encoding pro-mature enzyme of ApCtX was expressed in Escherichia coli BL21 (DE3) using the pGEX-4T-1 expression vector. Its activity was quantified by cleaving the synthetic peptide Z-Phe-Arg-AMC. The optimal pH for the protease activity was 6.5. The enzymatic activity of proApCtX was reduced by antipain, NEM, EDTA, EGTA, and 1,10-phenanthroline, and the proApCtX enzyme was significantly inhibited by CuSO₄, HgCl₂, CoCl₂, and SDS whereas Triton X-100 and Brij 35 might have potentially acted as an activator. Here, we demonstrated for the first time that the structural features and enzymatic characteristics of Echinoderms cathepsin X are similar to those of the other mammalian and piscine cathepsin X except its pH optimum, and the results of tissue-specific expression might explain their importance in food digestion by hepatic cecain starfish.     

Development of advanced radiation sources at KAERI

The KAERI Center for Quantum Beam-Based Radiation Research, was founded in 2011. The center pursues the development of advanced radiation sources and their applications in biology, material science, and nuclear physics. There are two main research topics in the development of advanced radiation sources: a system with high-power T-ray pump and an ultrashort X-ray probe system and a compact electron storage ring based on a laser-accelerated electron beam.     

Large-scale analysis of posttranslational modifications in the hippocampus of patients with Alzheimer’s disease using pI shift and label-free quantification without enrichment

Posttranslational modifications modulate protein function in cells. Global analysis of multiple posttranslational modifications can provide insight into physiology and disease, but presents formidable challenges. In the present study, we used a technique that does not require target enrichment to analyze alterations in the phosphorylation and ubiquitination of proteins from patients with Alzheimer’s disease (AD). Guided by our previous findings, we applied three strategies to further our understanding of the dysregulation of posttranslationally modified proteins. We first identified phosphorylation sites by determining peptide pI shifts using OFFGEL. Second, using tandem mass spectrometry, we determined the ubiquitination status of the proteins using an assay for a trypsin digestion remnant of ubiquitination (Gly-Gly). Third, for large-scale discovery, we quantified the global differences in protein expression. Of the proteins expressed in AD tissue at levels of 2.0 or greater compared with controls, 60 were phosphorylated and 56 were ubiquitinated. Of the proteins expressed at levels of 0.5 or lower compared with controls, 81 were phosphorylated and 56 were ubiquitinated. Approximately 98 % of the phosphopeptides exhibited a pI shift. We identified 112 new phosphorylation sites (51.38 %), and 92 new ubiquitination sites (96.84 %). Taken together, our findings suggest that analysis of the alterations in posttranslationally modified proteins may contribute to understanding the pathogenesis of AD and other diseases.