Solutions of xqk+⋯+xq+x=ax^{q^k}+\cdots+x^{q}+x=a in GF2nGF{2^n}

Though it is well known that the roots of any affine polynomial over a finite field can be computed by a system of linear equations by using a normal base of the field, such solving approach appears to be difficult to apply when the field is fairly large. Thus, it may be of great interest to find an explicit representation of the solutions independently of the field base. This was previously done only for quadratic equations over a binary finite field. This paper gives an explicit representation of solutions for a much wider class of affine polynomials over a binary prime field

Determinants of Visitor’s Overnight Stay in Local Food Festival: An Exploration of Staycation Concept and It’s Relation to the Origin of Visitors

The primary aim of this study was to explore the determinants of tourist overnight stay at a destination. The data was collected through a questionnaire conducted in two local food festivals in the Mid-west area in the U.S in 2010. The results of this study has both industry and academia implications; this study reveals the geographical distance (i.e., minimum of 100 miles away) that is most beneficial in obtaining overnight stays

Partial Ureteral Obstruction: A New Experimental Model In Rats

Partial ureteral obstruction in rats has been usually created by implanting the mid ureter into the psoas muscle. However, this method does not allow us to choose the obstruction site or the degree of obstruction. On the other hand, the extrinsic stent insertion method needs highly sophisticated operation skill. Hence, we tried to make a new experimental model using a bisected segment of 8 F feeding tube. We made various sizes of central holes with needles in that piece and then placed the left ureter into the hole through a J-shaped incised route. The occurrence of partial ureteral obstruction was checked by excretory urogram, direct injection of indigocarmine into the upper dilated ureter and histopathological examination. Actually, partial ureteral obstruction occurred in 67% of rats in the 236 group (n=6) and in 57% in the 216 group (n=7) in a week. Complete obstruction occurred in 33% in the 236 group and in 29% in the 216 group. The control group (n=6) in which an 186 needle (greater than ureter diameter) was used showed 33% of partial obstruction but there was no case of complete obstruction.These data show that our new experimental model inducing partial ureter obstruction in rats has reliability, variability and simplicity

The ancient phosphatidylinositol 3-kinase signaling system is a master regulator of energy and carbon metabolism in algae

Algae undergo a complete metabolic transformation under stress by arresting cell growth, inducing autophagy and hyperaccumulating biofuel precursors such as triacylglycerols and starch. However, the regulatory mechanisms behind this stress-induced transformation are still unclear. Here, we use biochemical, mutational, and “omics” approaches to demonstrate that PI3K signaling mediates the homeostasis of energy molecules and influences carbon metabolism in algae. In Chlamydomonas reinhardtii, the inhibition and knockdown (KD) of algal class III PI3K led to significantly decreased cell growth, altered cell morphology, and higher lipid and starch contents. Lipid profiling of wild-type and PI3K KD lines showed significantly reduced membrane lipid breakdown under nitrogen starvation (-N) in the KD. RNA-seq and network analyses showed that under -N conditions, the KD line carried out lipogenesis rather than lipid hydrolysis by initiating de novo fatty acid biosynthesis, which was supported by tricarboxylic acid cycle down-regulation and via acetyl-CoA synthesis from glycolysis. Remarkably, autophagic responses did not have primacy over inositide signaling in algae, unlike in mammals and vascular plants. The mutant displayed a fundamental shift in intracellular energy flux, analogous to that in tumor cells. The high free fatty acid levels and reduced mitochondrial ATP generation led to decreased cell viability. These results indicate that the PI3K signal transduction pathway is the metabolic gatekeeper restraining biofuel yields, thus maintaining fitness and viability under stress in algae. This study demonstrates the existence of homeostasis between starch and lipid synthesis controlled by lipid signaling in algae and expands our understanding of such processes, with biotechnological and evolutionary implications.Ministry of Science, ICT and Future Planning 2015M3A6A2065697Ministry of Oceans and Fisheries 2015018

Acori graminei rhizoma Ameliorated Ibotenic Acid-Induced Amnesia in Rats

In the present study, we investigated the effects of Acori graminei rhizoma (AGR) on learning and memory for the Morris water maze task and on the central cholinergic system of the rats with excitotoxic medial septum (MS) lesion. On the water maze test, the rats were trained to find a platform that was in a fixed position during 6 days and then they received a 60 s probe trial in which the platform was removed from the pool on the 7th day. Ibotenic lesioning of the MS impaired the performance on the maze test and it caused degeneration of choline acetyltransferase and acetylcholine esterase in the hippocampus, which are markers of the central cholinergic system. Daily administrations of AGR (100 mg kg−1, i.p.) for 21 consecutive days produced reversals of the ibotenic acid-induced deficit in learning and memory. These treatments also reduced the loss of cholinergic immunoreactivity in the hippocampus that was induced by ibotenic acid. These results demonstrated that AGR ameliorated learning and memory deficits through their effects on the central nervous system, and neuroprotection was partly evaluated through the effect of AGR on the cholinergic system. Our studies suggest that AGR can possibly be used as treatment for Alzheimer's disease

Proanthocyanidin from Grape Seed Extracts Protects Indomethacin-Induced Small Intestinal Mucosal Injury

Proanthocyanidin (grape seed proanthocyanidin extracts, GSPEs) is an antioxidant and scavenges free radicals. Excessive oxidative stress and free radical production are major components in the pathogenesis of NSAID-induced small intestinal injury. We investigated the effect of GSPEs on indomethacin-induced intestinal mucosal injury in the rat. Rats were allocated into four groups: the null control group, the indomethacin control group, the low-dose GSPEs group, and the high-dose GSPEs group. GSPEs were administered for 4 days. Then indomethacin and GSPEs were coadministered for the following 2 days by oral route. The dose of indomethacin was 200 mg/Kg. The doses of GSPEs were 100 mg/Kg for low-dose group and 300 mg/Kg for high-dose group. Luminal bleeding was solely observed in one of 5 rats from indomethacin control group. The number of ulcer count was reduced to 0.1 ± 0.3 per rat in GSPEs treated group compared to 1.4 ± 0.5 per rat in indomethacin control group. Submucosal inflammatory cell infiltration was also reduced to 50% in GSPEs treated group. The tissue level of prostaglandin E2 was not affected by GSPEs treatment. GSPEs attenuated the indomethacin-induced small intestinal injury irrespective of the tissue PGE2 depletion and glutathione consumption