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Evaluation of convolution sums Sigma(l+15m=n) sigma(l)sigma(m) and Sigma(3l+5m=n) sigma(l)sigma(m)
Get PDFIn this article, we have evaluated the convolution sums Sigma(al+bm=n) sigma(l)sigma(m) for a . b = 15, where a, b is an element of N, using an elementary method. The deduced convolution sums are in a little elegent form than that derived by B. Ramakrishnan and B. Sahu 24]. As a consequence, we determine a formula for the number of representations of a positive integer n by the octonary quadratic form (x(1)(2) + x(1)x(2) + x(2)(2) + x(3)(2) + x(3)x(4) + x(4)(2)) + 5 (x(5)(2) + x(5)x(6) + x(6)(2) + x(7)(2) + x(7)x(8) + x(8)(2))
The Mn(II), Co(II), Ni(II) and Cu(II) complexes of (Z)-N'((1H-indol-3-yl)methylene)nicotinohydrazide Schiff base: synthesis, characterization and biological evaluation
Get PDFSchiff bases being biological moieties possess diverse biological and pharmaceutical applications. Metal ions play an important role in various functions of the biological system as well as the human body. The importance of Schiff base and their metal complexes have been acknowledged in the field of bioinorganic chemistry. The current investigation hence focuses on the synthesis and characterization of a bidentate indole-based ligand(Z)-N'((1H-indol-3-yl)methylene)nicotinohydrazide (L) derived from indole-3-carboxaldehyde (1), nicotinic acid hydrazide (2) and their metal complexes of Mn(II), Co(II), Ni(II) and Cu(II), (4a-d) in 2:1 stichiometric ratio. All the synthesized ligand and complexes were characterized by IR, UV-Visible, H-1 NMR, C-13 NMR, Mass, Powder XRD analysis. Further, the ligand and their metal complexes were screened for antimicrobial, antioxidant and DNA cleavage studies. Among the synthesized complexes, Ni(II) (4c) showed highest antimicrobial activity against tested Gram -ve and Gram +ve bacterial strains and fungal microorganism, better than the ligand (L). The antioxidant activity results showed that the metal complexes (4a-d) were observed to be more active than the parent ligand. Furthermore, the ligand (L) and their respective metal (II) complexes (4a-d) were found to cleave the pBR322 DNA, during gel electrophoresis studies
On Gosper's Pi(q) and Lambert series identities
Get PDFIn an interesting article entitled `Experiments and discoveries in q-trigonometry'', R. W. Gosper conjectured few beautiful Pi(q) and Lambert series identities. Many people have attempted confirming some of those identities in the Gosper's list, mainly by using Gosper's q-trigonometric identities. In this paper we either prove or disprove all the Pi(q) and Lambert series identities in the Gosper's list by mainly using S. Ramanujan's theta function identities and W. N. Bailey's summation formula. In the process, we obtain three new Gosper kind of identities
Impact of Stevia rebaudiana substitution on physico-chemical characteristics, sensory profile and microstructure in selected Indian desserts
Get PDFStevia rebaudiana has been used since hundreds of years as a natural sweetener, it is 300-450 times sweeter than sugar. The study aimed at incorporation of S. rebaudiana in traditional Indian desserts and test its sensory profile, storage properties, textural and color attributes. Carrot halwa (CH) and kesar peda (KP) were prepared with variations such as complete replacement of sugar in variation 1 (V1: CHV1 & KPV1) and 40% replacement of sugar in variation 2 (V2: CHV2 & KPV2) with stevia. Standard methods such as Quantitative Descriptive Analysis scores for sensory profile, fat oxidation for storage studies and surface morphology, texture profile and color analysis of samples were studied. Sensory profile revealed higher taste acceptability in CHV1 and KPV2. During storage, the maximum peroxide value was 5 mEq/kg in all products of refrigerated KP. Microstructural studies revealed changes in surface morphology wherein stevia incorporation increased ragged edges in CH and porosity in KP. Both products exhibited increased hardness, gumminess and chewiness during storage. There was no major change in the color profile of products. Overall, incorporation of stevia in Indian desserts can significantly reduce the use of sugar and can be relished by people who are health conscious
Bienzymatic Spectrophotometric Method for Uric Acid Estimation in Human Serum and Urine
Get PDFIn this study, a novel and efficient bienzymatic method for the quantification of uric acid in serum and urine samples was developed. This method is based on the bienzymatic reaction of uricase and peroxidase in the presence of substrates pyrocatechol and 3-methyl-2-benzothiazolinone hydrazone to produce a red colored product. Under optimized conditions, a linearity of uric acid assay was obtained in the ranges of 4 to 384 mu M and 2 to 256 mu M by kinetic method and fixed time method, respectively. The low limit of detection and limit of quantification were found to be 0.5 and 1.6 mu M, respectively. The developed assay was used to quantify uric acid in human serum and urine samples. The present method has good recovery range of 98.3-101.8% and accuracy range of 92.0-101.4%. Hence, the proposed method could be successfully adopted for the quantification of uric acid in clinical laboratories
Synthesis and structural characterization of elastin-based polypentapeptide/hydroxypropylmethylcellulose blend films: Assessment of miscibility, thermal stability and surface characteristics
No full textThis work portrays the synthesis of Elastin-based polymer poly(GVGIP) (where; G-Glycine, V-Valine, I-Isoleucine, P-Proline) through the solution-phase strategy by stepwise approach followed by character-ization with modern analytical tools. The miscibility attributes of the polypeptide were explored with hydroxypropylmethylcellulose (HPMC) using dilute solution viscometry method, spectroscopic, thermal, SEM, and XRD analysis. Explicitly the Huggins coefficient KH], the intrinsic viscosity q], parameters such as alpha by Sun, deltaq](m) by Garcia delta B, and mu suggested by Chee, delta K, and beta advocated by Jiang and Han, recommend the miscibility up to 50% of the polypeptide. In the solid phase, DSC and TGA analysis showed that miscible blends possessed a higher glass transition temperature (T-g) and thermal stability, respec-tively. The Scanning Electron Microscopy (SEM) evinced the smooth morphology for miscible blends. Besides, XRD showed broadening of the diffraction pattern ratified the miscibility. The change in frequency and intensity of FTIR peaks demonstrated the existence of intermolecular interchanges between two polymers. Overall, the approach successfully synthesized poly(GVGIP)/HPMC miscible blends up to 50%, make it an excellent choice for biomedical and pharmaceutical purposes
Competent synthesis of biaryl analogs via asymmetric Suzuki–Miyaura cross-coupling for the development of anti-inflammatory and analgesic agents
Get PDFBased on the core structure of diflunisal drug, herein, we report a resembling series of biaryl analogs (3a–j) containing halogens, nitro, and methoxy substituents. They were designed and synthesized via a Suzuki–Miyaura cross-coupling reaction using Pd (OH)2 as a catalyst at a temperature of 65 °C with an intent to obtain improved and safer anti-inflammatory and analgesic agents. Suzuki–Miyaura transformation is the most significant among the cross-coupling reactions since its practical advantages include the commercially available low toxic reagents, mild reaction conditions, and functional group compatibility. On the other hand, a few conditions can be used to cross-couple aryl boronic acids or esters with aryl halides, especially 2-benzyl halides. Because of this, a novel Suzuki–Miyaura protocol is investigated that facilitates the selective conversion of halo aromatics, with an emphasis on the reaction to convert substituted bromobenzene to conjugated biphenyls. Finally, the obtained biaryl analogs (3a–j) were tested for in vitro and in vivo anti-inflammatory and analgesic applications. The results showed that compound 3b performed better than the standard drug with IC50 values comparable to that of the standard drug for COX-1 and COX-2 inhibition. Finally, molecular docking tests for the effective compound were carried out
Development of 1-(4-(Substituted)piperazin-1-yl)-2-((2-((4-methoxybenzyl)thio)pyrimidin-4-yl)oxy)ethanones That Target Poly (ADP-Ribose) Polymerase in Human Breast Cancer Cells
No full textA number of uracil amides cleave poly (ADP-ribose) polymerase and therefore novel thiouracil amide compounds were synthesized and screened for the loss of cell viability in a human-estrogen-receptor-positive breast cancer cell line. The synthesized compounds exhibited moderate to significant efficacy against human breast cancer cells, where the compound 5e IC50 value was found to be 18 μM. Thouracil amide compounds 5a and 5e inhibited the catalytical activity of PARP1, enhanced cleavage of PARP1, enhanced phosphorylation of H2AX, and increased CASPASE 3/7 activity. Finally, in silico analysis demonstrated that compound 5e interacted with PARP1. Hence, specific thiouracil amides may serve as new drug-seeds for the development of PARP inhibitors for use in oncology
