Top PDF In insight into QAC2(1) : Dynkin diagrams and properties of roots

In insight into QAC2(1) : Dynkin diagrams and properties of roots

In insight into QAC2(1) : Dynkin diagrams and properties of roots

the classification theorem. It is also proved that there are 648 Dynkin diagrams of extended hyperbolic type, 8 hyperbolic type and 253 diagrams of indefinite, non extended hyperbolic type in the classification of Dynkin diagrams associated with QAC 2(1) .

16 Read more

A Study on the Root Systems and Dynkin diagrams associated with QHA2(1)

A Study on the Root Systems and Dynkin diagrams associated with QHA2(1)

considered and are realized as graded Kac-Moody algebras of quasi hyperbolic type in [17 - 21]. For the same, using the homological theory and spectral sequences techniques developed by Benkart et al. [1] and Kang [5-8], we determined the homology modules upto level three and the structure of the components of the maximal ideals upto level four. In [22], the complete classification of the Dynkin diagrams and some properties of real and imaginary roots for the associated Quasi affine Kac Moody algebras QAC 2(1) was obtained.
Show more

8 Read more

On the Quasi Hyperbolic Kac Moody Algebra QHA7(2)

On the Quasi Hyperbolic Kac Moody Algebra QHA7(2)

complete classification of the Dynkin diagrams and some properties of real and imaginary roots were obtained in [15,17 and18] by Uma Maheswari. The complete classification of the Dynkin diagrams associated to the quasi hyperbolic Kac-Moody algebra QHA 2(1) was obtained

6 Read more

Dynkin Diagrams, Root Systems and Cartan Matrix  in Classification of Lie Algebras

Dynkin Diagrams, Root Systems and Cartan Matrix in Classification of Lie Algebras

Cartan matrix are both ±1, a single edge connects the vertices corresponding to .If the th or th entry is±2 or±3, two or three edges ,respectively , connect the two vertices in question .In order to distinguish the relative lengths of the roots , an arrow pointing towards the shorter of the two is drawn over the vertex in question .The properties of the Cartan matrices place a number of restrictions on possible. Dynkin diagrams ,which we enumerate below. In fact, these properties, enumerated below, lead to a complete description of all possible Dynkin diagrams, which may be found in , - .
Show more

9 Read more

New insights into therapeutic activity and anticancer properties of curcumin

New insights into therapeutic activity and anticancer properties of curcumin

The molecular mechanisms through which curcumin can exert its effect on the CSCs are as follows: 1) signaling pathways, including Wnt/ β -catenin, Sonic Hedgehog, Notch, and PI3K/AKT/mTOR, and 2) EMT at multiple levels. These facts emphasize that curcumin can act as a chemosensitizer which makes CSCs now sensitive toward anticancer therapy. Therefore, treatment with a combination of an anticancer agent along with curcumin could be much more effective than that with anti-cancer agent alone. 86 This potential treatment modality

15 Read more

Mechanistic insight into the interaction of gastrointestinal mucus with oral diblock copolymers synthesized via ATRP method

Mechanistic insight into the interaction of gastrointestinal mucus with oral diblock copolymers synthesized via ATRP method

For oral administration, the mucus layer hinders the effective absorption of drugs. A drug administration will fail if it is unable to reach the epithelial surfaces of the GI tract in a rela- tively short time. It is therefore important to have a bettering understanding of how physical and chemical properties of drug carriers affect the interaction with mucus layer. In this study, we developed a series of copolymers for in vitro and in vivo experiments and found that hydrophobicity and neutral charge provide copolymers significant advantages in getting across the mucus layer for enhanced drug uptake. These results provide insights into developing optimal nanocarriers for oral administration. In addition, model hydrophobic drug cypate was encapsulated into the copolymers, and the results showed no obvious changes in particle size and ζ -potential, indicating that uploading hydrophobic drugs would not affect the interaction between mucus with polymers. In the future, we will study the transport of drug loaded particles in vivo and in vitro based on the results obtained.
Show more

18 Read more

Phase diagrams with FACTSage   speaking different languages for thermochemical properties

Phase diagrams with FACTSage speaking different languages for thermochemical properties

Figure: Lehrer-Diagram of iron nitrides according to literature left and stability diagram calculated with the programme FactSage right.[r]

73 Read more

Novel insight into stem cell trafficking in dystrophic muscles

Novel insight into stem cell trafficking in dystrophic muscles

repeated in the same mouse, immediately after the injection (T = 0) and at 2, 13, and 24 hours after the treatment (T = 2, 13, 24, respectively). The images obtained depend on the linear absorbing coefficients of the phases/materials that compose the investigated specimen. In order to be able to dis- tinguish the injected cells, they were labeled with Endorem, resulting in higher X-ray absorbing properties with respect to the tissues around them. As the mouse was alive during the experiment, the cells remaining inside the vessels, and thus moving into the bloodstream, could not be reconstructed in the tomographic images. Thus, the visualized cells are only those that actually migrated into the muscular tissue.
Show more

9 Read more

Genomic insight into neonicotinoid sensitivity in the solitary bee Osmia bicornis

Genomic insight into neonicotinoid sensitivity in the solitary bee Osmia bicornis

To generate a high-quality genome assembly of O. bicornis we sequenced genomic DNA extracted from a single haploid male bee using a combination of Illumina paired-end and mate-pair libraries. Additional RNA sequencing (RNAseq) of male and female bees was also performed in order to improve the quality of subsequent gene prediction. DNAseq data was assembled to generate an O. bicornis genome of 212.9 Mb consistent with genome size esti- mates derived from k-mer analysis of the raw reads (S1 Table). The final assembly comprised 10,223 scaffolds > 1 kb with a scaffold and contig N50 of 604 kb and 303 kb respectively (S2 Table). Structural genome annotation using a workflow incorporating RNAseq data predicted a total of 14,858 protein-coding genes encoding 18,479 total proteins (S3 Table). The com- pleteness of the gene space in the assembled genome was assessed using the Benchmarking Universal Single-Copy Orthologues (BUSCO) pipeline [11] with greater than 99% of Arthro- poda and Insecta test genes identified as complete in the assembly (S4 Table). Approximately 78% of the predicted genes could be assigned functional annotation based on BLAST searches against the non-redundant protein database of NCBI (S1 Fig).
Show more

20 Read more

A comprehensive insight into the clinicopathologic significance of miR-144-3p in hepatocellular carcinoma

A comprehensive insight into the clinicopathologic significance of miR-144-3p in hepatocellular carcinoma

Regarding TCGA data, decreased miR-144-3p levels were detected in 354 HCC tissues (8.9139 ± 1.5986) compared to 50 adjacent normal liver tissues (10.7721 ± 0.9156, P,0.001; Figure 1A). Not surprisingly, a consistent expression pattern was observed in 48 pairs of HCC and adjacent normal liver tissues (P,0.001; Figure 1B). The P-value of the diagnostic power in ROC curve was ,0.001 (AUC = 0.852, 95% CI: 0.810 to 0.894, P,0.001; Figure 2A). The results of the relationships between miR-144-3p and the clinicopathologic characteristics from TCGA data are summarized in Table 1. Low miR-144-3p expression was only detected in high patho- logic stage rather than low pathologic stage. No significant correlation was observed between miR-144-3p and other clinicopathologic features. In the survival analyses by Prog- MIR (http://xvm145.jefferson.edu/progmir/), no significant results were observed (hazard ratio = 0.93, 95% CI: 0.83 to 1.04, P= 0.204).
Show more

15 Read more

Insight into molecular dynamics simulation of BRAF(V600E) and potent novel inhibitors for malignant melanoma

Insight into molecular dynamics simulation of BRAF(V600E) and potent novel inhibitors for malignant melanoma

We substituted the amino acid valine (V) with glutamic acid (E) at position 600 in the sequence of BRAF protein and constructed the BRAF(V600E)-modeled structure based on the wild-type BRAF template (2FB8, human). Because the most significant catalytic domains that phosphorylated consensus substrates were residues 457–717, the conformation of 445–723 amino acids was sufficient to represent BRAF and BRAF(V600E)- modeled structure. Ramachandran plot of BRAF(V600E)- modeled structure displayed that 81.8% of residues were in the favored region, 14.6% were in the allowed region, and only 3.6% were in the outlier region (Figure 1). Verify score of wild-type BRAF (2FB8) and BRAF(V600E) protein showed that almost all the residues had positive values (Figure 2).
Show more

16 Read more

EUROCORES Insight 1

EUROCORES Insight 1

The TECT Programme is based on the working assumption of an evolutionary continuity of cooperation, both genetic and cultural, an assumption which was thought to be in need of a study in its own right. The TECT research agenda draws on recent advances in life, natural, human and social sciences. Across all these areas, a common theoretical framework for explaining biological and cultural evolution has emerged, which emphasises the properties of interactive, goal-directed agents. At the same time, methodological advances in several disciplines have provided new information about the properties of agents and their interactions. TECT comprises multinational and multidisciplinary research teams covering anthropology, artificial intelligence research, biology, chemistry, cognitive sciences, economics, history, linguistics, mathematics, neurosciences, philosophy of science, political sciences, psychology, and sociology.
Show more

12 Read more

<p>Structural Insight into the Mechanism of 4-Aminoquinolines Selectivity for the alpha2A-Adrenoceptor</p>

<p>Structural Insight into the Mechanism of 4-Aminoquinolines Selectivity for the alpha2A-Adrenoceptor</p>

resulting in decreased af fi nity. Interestingly, the af fi nity increased afterwards when the linker of homobivalent 4-aminoquinoline compounds was further lengthened, reaching at the peak at 10 (78 nM) carbon atoms, which decreased thereafter when the linker was further lengthened to 11 and 12 (Figure 1B, Table 1). We hypothesized that the linker length of 6 – 10 is of appropriate length for the com- pounds to interact with the residues that are located at the extracellular surface of the receptor. The homobivalent 4-aminoquinoline compounds had a similar trend of linker length – af fi nity relationship for α 2B -AR and α 2C -AR, but the
Show more

10 Read more

Effect of Oriental beech root reinforcement on slope stability (Hyrcanian Forest, Iran)

Effect of Oriental beech root reinforcement on slope stability (Hyrcanian Forest, Iran)

A r – total cross-sectional area of all roots in the sample. Slope stability. A slope stability analysis may be used to evaluate an existing condition or a proposed solution to determine if it meets the re- quirement of safety (Wu 1995; Mao et al. 2012). In this research slope stability was investigated by changing the slope gradients between 10 and 45° (the range of slope in the whole study area) and the thickness of the sliding mass of 1 and 2 m (as mentioned in previous sections most of the crit- ical failure planes in the study area are 1–2 m). To determine the factor of safety (FS), SLIP4EX (Not- tingham Trent University, Nottingham, UK) was used. SLIP4EX is a computer program for the slope stability analysis and helps to assess the contribu- tion of vegetation to slope stability (Greenwood 2006). FS values were calculated for a soil with no reinforcement and for a soil reinforced by the roots.
Show more

8 Read more

Investigation into the Physico-Chemical Properties of Soils of Caspian Sea Coastal Area in Mangystau Province

Investigation into the Physico-Chemical Properties of Soils of Caspian Sea Coastal Area in Mangystau Province

Stationary ecological posts SEP-1, SEP- 2, SEP-3 and SEP-4 at Karazhanbas Oil Field are located on meadow coastal soils, coastal solonchaks and on technogenic disturbed grounds [8]. Within soil monitoring in 2013 the sampling for chemical analysis for investigation into physico- chemical properties of soils was performed by genetic horizons, and in 2014 by the strata 0-5 and 5-20 cm. Therefore, the data of chemical analysis for physico-chemical properties are not compared in this section. The soils of the deposit are depleted with humus due to their youth. Humus content in the upper horizons of the deposit soils varies in wide ranges from 0.07 to 1.04 %.
Show more

8 Read more

Isolation and Identification of Flavone Aglycones in Roots of Desmostachya bipinnata Stapf

Isolation and Identification of Flavone Aglycones in Roots of Desmostachya bipinnata Stapf

Rahate and Rajasekaran: Identification of Flavone Aglycones in Desmostachya bipinnata Stap Roots of Desmostachya bipinnata Stapf are used in the treatment of jaundice and asthma in Indian traditional medicine. Phytochemical investigation of the methanol extract of the roots of this plant led to isolation of three flavonols. The structures of these compounds were assigned on the basis of elemental analysis and spectroscopic evidences as apigenin, luteolin and quercetin, of which apigenin and luteolin were isolated for the first time. The yield of these compounds was 0.0034, 0.0026 and 0.0042 % w/w, respectively. These findings suggested the possibility that the three flavonoids isolated from the roots of Desmostachya bipinnata could be responsible for the benefits to human health offered by these roots.
Show more

6 Read more

Cellular pathophysiology of cystic kidney disease: insight into future therapies

Cellular pathophysiology of cystic kidney disease: insight into future therapies

Molecular genetic evidence suggests that the protein products of PKD genes participate in a common disease pathway and provides a working hypothesis for critical analysis (Murcia et al., 1998). These data suggest that polycystin 1, polycystin 2, and Tg737 form a macromolecular regulatory/signaling structure at the cytoplasmic membrane which may regulate fundamental aspects of renal epithelial cell biology. Mutations in PKD1, PKD2, or Tg737 (as well as other PKD genes) may disrupt this macromolecular protein complex and lead to abnormal epithelial cell proliferation, secretory activity, and altered cell-matrix interactions. Over the past decade these three features – proliferation, secretion and abnormal matrix – have emerged as the key pathophysiological features mediating epithelial cyst
Show more

5 Read more

A Dynkin game on assets with incomplete information on the return

A Dynkin game on assets with incomplete information on the return

We recall now some results from the existing literature so that we can later dis- cuss the mathematical novelty of our work. The existence of the value for optimal stopping games with multi-dimensional Markov processes was proved in [16] using mar- tingale methods and by Bensoussan and Friedman [2] via variational inequalities. These methods require suitable integrability of the payoff processes, i.e., in our notation, the processes e −rt G i (S t ), i = 1, 2 must be uniformly integrable. When such condition is

38 Read more

Insight into resistance mechanisms of AZD4547 and E3810 to FGFR1 gatekeeper mutation via theoretical study

Insight into resistance mechanisms of AZD4547 and E3810 to FGFR1 gatekeeper mutation via theoretical study

est descent and 2,500 steps of conjugate gradient). After that, proteins and ligands were subjected to energy minimization in the water box (5,000 steps of steepest descent and 2,500 steps of conjugate gradient). The systems were then heated to 300 K using a time constant at constant volume during 100 ps. Before the production of classical MD simulation, the whole system was equilibrated .200 ps at constant pressure of 1 bar. Finally, each system was submitted to 50 ns classical MD simulation without any restraint. During these simulations, pressure and temperature were maintained using the Langevin temperature scalings. 24 SHAKE constraints were applied to all bonds involv-
Show more

11 Read more

K 2 of Kac Moody groups

K 2 of Kac Moody groups

Note: We shall be using Carter’s and Kac’s notation for GCMs (cf. [1] and [2]), where a fixed simple root corresponds to a column of the matrix. Some authors instead have simple roots corresponding to the rows of the matrix, in which case all the same results shall hold but will require the reader to transpose the appropriate definitions and theorems.

26 Read more

Show all 10000 documents...