Greedy bases in rank 2 quantum cluster algebras.

We identify a quantum lift of the greedy basis for rank 2 coefficient-free cluster algebras. Our main result is that our construction does not depend on the choice of initial cluster, that it builds all cluster monomials, and that it produces bar-invariant elements. We also present several conjectures related to this quantum greedy basis and the triangular basis of Berenstein and Zelevinsky.

Differential neuritogenic activities of two edible brown macroalgae, Undaria pinnatifida and Saccharina japonica.

Undaria pinnatifida (Harvey) Suringar and Saccharina japonica Areschoug are two common seaweeds, and both are known to have numerous pharmacological properties that include neuroprotective effects. In a previous study, we found that the ethanol extracts of U. pinnatifida (UPE) and S. japonica (SJE) had neurite promoting activities on developing hippocampal neurons. In the present study, we studied and compared the effects of UPE and SJE on neuronal maturation. Both UPE and SJE promoted neurite outgrowth in a dose-dependent manner with optimal concentrations of 5 and 15 µg/mL, respectively. Initial neuronal differentiation was significantly promoted by UPE and SJE. Subsequently, treatment with both increased indices of axonal and dendritic cytoarchitecture, such as, the numbers and lengths of primary processes, although only UPE had a significant effect on branching frequencies. In addition, UPE and SJE showed no evidence of cytotoxicity, rather they protected neurons from naturally occurring death in vitro. These results indicate that UPE and SJE promote axodendritic maturation and neuronal survival and suggest that these algal extracts, especially UPE, have beneficial effects on the nervous system.

Detection of diverse marine algal viruses in the South Sea regions of Korea by PCR amplification of the DNA polymerase and major capsid protein genes.

Several molecular techniques have been used to study viruses under different environmental conditions and to examine the genetic diversity of natural virus communities. Here, natural marine virus samples were collected from six different southern coastal regions of Korea and subjected to PCR amplification with five different degenerate primers specific for either the DNA polymerase or capsid protein gene of algal viruses. PCR products ranging from 300 to 700 bp were observed on agarose gel analysis, and major PCR bands were purified and cloned. PCR using primers specific for the viral DNA polymerase gene and for the coat protein gene yielded 332 and 366 clones, respectively. Of the clones analyzed, 147 (44%) DNA polymerase gene clones and 326 (89%) coat protein clones showed similarity to known virus genes. Clustering and assembly revealed 23 and 38 unique sequences for the DNA polymerase and coat protein genes, respectively. BLASTX and phylogenetic analyses of these sequences revealed close relationships with various virus groups, including one of the major algal virus groups, Phycodnaviridae. Pairwise nucleotide comparisons among sequences classified into the same group revealed the extent of genetic diversity in both polymerase and coat protein gene sequences. These results indicated the presence of genetic diversity within similar virus groups in the marine system. Additionally, PCR products with the same sequences were recovered from different locations, indicating the presence of the same virus in different geographic locations in the southern coastal region of the Korean Peninsula.