Tapping into Permutation Symmetry for Improved Detection of k-Symmetric Extensions.

Symmetric extensions are essential in quantum mechanics, providing a lens through which to investigate the correlations of entangled quantum systems and to address challenges like the quantum marginal problem. Though semi-definite programming (SDP) is a recognized method for handling symmetric extensions, it struggles with computational constraints, especially due to the large real parameters in generalized qudit systems. In this study, we introduce an approach that adeptly leverages permutation symmetry. By fine-tuning the SDP problem for detecting k-symmetric extensions, our method markedly diminishes the searching space dimensionality and trims the number of parameters essential for positive-definiteness tests. This leads to an algorithmic enhancement, reducing the complexity from O(d2k) to O(kd2) in the qudit k-symmetric extension scenario. Additionally, our approach streamlines the process of verifying the positive definiteness of the results. These advancements pave the way for deeper insights into quantum correlations, highlighting potential avenues for refined research and innovations in quantum information theory.

Molecular characterization and mRNA expression of catalase from pearl oyster Pinctada fucata.

Catalase (EC 1.11.1.6) is an important antioxidant enzyme that protects aerobic organisms against oxidative damage by degrading hydrogen peroxide to water and oxygen. In the present study, a catalase cDNA of peal oyster Pincatada fucata (designated as PoCAT) is cloned and characterized by expressed sequence tag (EST) and rapid amplification of cDNA ends (RACE) methods. PoCAT is 2428 bp long and consists of a 5'-UTR of 140 bp, an unusually long 3'-UTR of 749 bp, and an open reading frame (ORF) of 1539 bp. The ORF of PoCAT encodes a polypeptide of 512 amino acids with molecular weight of 58.1 kDa and the theoretical isoelectric point of 8.4. PoCAT shares 62.3-82.2% identity and 73.0-92.0% similarity to other catalase amino acid sequences. Sequence alignment indicates that PoCAT contains the proximal heme-ligand signature sequence (R³5¹LFSYSDT³58), the proximal active site signature (F6¹NRERIPERVVHAKGGGA78), and the three catalytic amino acid residues (His7², Asn¹45, and Tyr³55). PoCAT has two potential glycosylation sites (N4³6YS4³8 and N478FS48°) and a peroxisome targeting signal (ASL). PoCAT mRNA was ubiquitously expressed in all detected tissues, and the expression level of PoCAT mRNA was higher in intestine and mantle. The expression profile analysis showed that the expression level of PoCAT mRNA in intestine was significantly up-regulated at 2, 4 and 12 h after Vibrio alginolyticus stimulation. These results demonstrated that PoCAT is a typical member of catalase family and might be involved in innate immune responses of pearl oyster.

A multidomain galectin involved in innate immune response of pearl oyster Pinctada fucata.

Galectins could specifically bind to ß-galactoside residues and play crucial roles in innate immune responses of vertebrates and invertebrates. In this study, the cDNA of a galectin with multiple carbohydrate-recognition domains (CRDs) was cloned from pearl oyster Pinctada fucata (designated as PoGal). PoGal cDNA was 2138bp long and consisted of a 5'-untranslated region (UTR) of 120bp, a 3'-UTR of 350bp with two cytokine RNA instability motifs (ATTTA), and an open reading frame (ORF) of 1668bp encoding a polypeptide of 555 amino acids with an estimated molecular mass of 63.4kDa and a theoretical isoelectric point of 4.8. PoGal contained four CRDs, each CRD of PoGal all had the conserved carbohydrate-binding motifs H-NPR and WG-ER. PoGal shared 43.7% and 62.9% identity to those of bay scallop and eastern oyster, respectively, which were only two galectins with four CRDs. The phylogenetic analysis revealed that all galectins with four CRDs formed a single clade. PoGal mRNA was constitutively expressed in all detected tissues, and the expression level of PoGal mRNA was significantly up-regulated in digestive gland, mantle, haemocyte, gonad and intestine after Vibrio alginolyticus stimulation. The expression profile analysis showed that the expression level of PoGal mRNA was significantly up-regulated at 4, 8 and 12h after V. alginolyticus stimulation. These results suggested that PoGal was a constitutive and inducible acute-phase protein that perhaps involved in innate immune response of pearl oyster.

Molecular characterization and expression analysis of lipopolysaccharide and ß-1,3-glucan-binding protein (LGBP) from pearl oyster Pinctada fucata.

The lipopolysaccharide and ß-1,3-glucan-binding protein (LGBP) plays an important function in the innate immune response of invertebrates as a pattern recognition receptor (PRR). Herein, we described the isolation and characterization of pearl oyster Pinctada fucata LGBP (designated as poLGBP). The poLGBP cDNA was 2,075 bp long and consisted of a 5'-untranslated region (UTR) of 18 bp, a 3'-UTR of 299 bp with one cytokine RNA instability motifs (ATTTA), and an open reading frame (ORF) of 1,758 bp encoding a polypeptide of 585 amino acids with an estimated molecular mass of 65.1 kDa and a theoretical isoelectric point of 5.80. Homology analysis of the deduced amino acid sequence of the poLGBP with other known LGBP sequences by MatGAT software revealed that the poLGBP shared 26.3-56.7% identity and 40.5-70.9% similarity to the other known LGBP sequences. SMART and alignment analysis revealed that the poLGBP possessed a potential polysaccharide-binding motif, a glucanase motif, a LPS-binding site, a ß-1,3-linkage of polysaccharide, a glycine-rich region, a threonine-rich region and two N-glycosylation sites. In healthy pearl oyster, the poLGBP mRNA was specifically expressed in digestive gland, and not detected in gill, adductor muscle, gonad, intestine, mantle and hemocytes. However, after bacteria stimulation, the expression of the poLGBP mRNA was significantly up-regulated in digestive gland and also weakly detected in haemocytes, gonad and intestine. After LPS stimulation, the poLGBP mRNA expression was significantly up-regulated at 8 and 12 h in digestive gland, and the expression level was 10.7-fold higher than the PBS group at 12 h. After bacteria stimulation, the expression level of the poLGBP mRNA was also significantly up-regulated in digestive gland and was 12.9-fold higher than the PBS group at 8 h. However, during the experiment, the poLGBP mRNA expression was not detected in gill after LPS or bacteria stimulation. The tissue-specific expression and the expression up-regulation after LPS or bacteria stimulation in digestive gland suggested that the poLGBP was an inducible acute-phase protein and might play an important function in digestion as digestive enzyme and pattern recognition receptor.

Molecular characterization and expression analysis of the IkappaB gene from pearl oyster Pinctada fucata.

Inhibitor of NF-kappaB (IkappaB) is one important member of NF-kappaB signal pathway and plays a pivotal role in regulating the innate immune response of invertebrate. Herein, we described the isolation and characterization of pearl oyster Pinctada fucata IkappaB gene (designated as poIkappaB). The poIkappaB cDNA was 1975 bp long and consisted of a 5' untranslated region (UTR) of 73 bp, a 3' UTR of 807 bp with three RNA instability motifs (ATTTA) and a polyadenylation signal (AATAAA) at 13 nucleotides upstream of the poly (A) tail, and an open reading frame (ORF) of 1095 bp encoding a polypeptide of 364 amino acids with an estimated molecular mass of 40.11 kDa and theoretical isoelectric point of 4.61. A conserved degradation motif (DS(35)GFSS(39)) and six ankyrin repeats were identified in the poIkappaB by SMART analysis. Homology analysis of the deduced amino acid sequence of the poIkappaB with other known IkappaB sequences by MatGAT software revealed that the poIkappaB shared 23.5-63.3% similarities with other known IkappaB isoforms. The poIkappaB mRNA was constitutively expressed in all studied tissues with the most abundant mRNA in the haemocyte. The poIkappaB mRNA was up-regulated and increased 4.13- and 5.28-fold after LPS and Vibrio alginolyticus stimulation, respectively. These results suggested that the poIkappaB was a constitutive and inducible acute-phase protein that perhaps involved in the immune defense of pearl oyster.