On Fractional Helmholtz Equations

MSC 2010: 26A33, 33E12, 33C60, 35R11In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function. The solutions to the fractional Poisson and the Laplace equations of the same kind are obtained, again represented by means of the Mittag-Leffler function. In all three cases the solutions are represented also in terms of Fox's H-function

DEVELOPMENT AND VALIDATION OF A NEW RP HPLC ANALYTICAL METHOD FOR THE DETERMINATION OF ETODOLAC SUCCINIC ACID CO-CRYSTALS IN SPIKED RABBIT PLASMA

Objective: The aim of the study was to develop and validate a novel and sensitive HPLC method for the determination of Etodolac content in Etodolac succinic acid co-crystals in spiked rabbit plasma. Methods: Chromatographic separation was achieved on an Eclipse C18 column (4.6 mm,100 mm, 3.5 μm spherical particles) using acetonitrile: methanol: acetic acid (100%) (50:49:1) as the mobile phase at a flow rate of 0.8 ml/min and monitored at 278 nm. Tinidazole was used as the internal standard. The run time was 6 min. The method was validated to fulfill International Conference on Harmonisation (ICH) guidelines, which included specificity, linearity, limit of detection (LOD), limit of quantification (LOQ), accuracy, precision and robustness. Results: The calibration curve was linear over the concentration range from 2.5 to 15 μg/ml, and the lower limit of detection was 0.3700 μg/ml. and lower limit of quantification was 1.121μg/ml for determination in spiked rabbit plasma. The accuracy and precision of the method were within the acceptable limit of±2% at the lower limit of quantification. Conclusion: A simple, sensitive, rapid and reproducible RP-HPLC method was developed with short runtime and less flow rate. Statistical analysis of the method proved that this method is suitable for the estimation of Etodolac in Co-crystalin plasma. Hence this method can be employed in the routine assay of the Etodolac Succinic acid co-crystals

On a Fractional Master Equation

A fractional order time-independent form of the wave equation or diffusion equation in two dimensions is obtained from the standard time-independent form of the wave equation or diffusion equation in two-dimensions by replacing the integer order partial derivatives by fractional Riesz-Feller derivative and Caputo derivative of order ,,1<ℜ()≤2 and 1<ℜ()≤2 respectively. In this paper, we derive an analytic solution for the fractional time-independent form of the wave equation or diffusion equation in two dimensions in terms of the Mittag-Leffler function. The solutions to the fractional Poisson and the Laplace equations of the same kind are obtained, again represented by means of the Mittag-Leffler function. In all three cases, the solutions are represented also in terms of Fox's -function

On a Fractional Master Equation

A fractional order time-independent form of the wave equation or diffusion equation in two dimensions is obtained from the standard time-independent form of the wave equation or diffusion equation in two-dimensions by replacing the integer order partial derivatives by fractional Riesz-Feller derivative and Caputo derivative of order α, β, 1 &lt; R α ≤ 2 and 1 &lt; R β ≤ 2 respectively. In this paper, we derive an analytic solution for the fractional time-independent form of the wave equation or diffusion equation in two dimensions in terms of the Mittag-Leffler function. The solutions to the fractional Poisson and the Laplace equations of the same kind are obtained, again represented by means of the Mittag-Leffler function. In all three cases, the solutions are represented also in terms of Fox&apos;s H-function

A durable pollination raincoat for hybridization during monsoon in coconut

Large-scale production of hybrid seed nuts of coconut is necessary to match the high demand for hybrid seedlings. But in major coconut producing states such as Kerala, Karnataka and Goa hybridisation is carried suspended during monsoon season and out effectively only during dry season for a period of six months from November to May. Some of the reasons attributed to the stoppage of pollination work during monsoon are the slippage of the trunk while climbing, problems in male flower collection and wetting of the pollination bags during heavy rains. Technological developments in coconut sector viz., the invention of coconut climbing devices and cryopreservation techniques have contributed to safe climbing and pollen storage for utilisation during off-seasons, respectively. However, the wetting of the pollination bag used for hybridization remains a problem. We report the development and successful initial testing of a durable raincoat for the pollination bag so that coconut pollination can be carried out throughout the year in heavy monsoon areas. This reusable raincoat is integrated with the ground pollination unit and can be fitted easily on the pollination bag, and it ensures complete dryness of the pollination bag. Only one climbing per tree is required for emasculation, bagging and raincoat fitting on a single inflorescence. The raincoat has provisions for suspending a pollen delivery tube and pollen dusting and bag removal can be done from the ground. The durable raincoat cover for the pollination bags has resulted in a fruit setting of 22.5-41.3 per cent

Starting Young- Instilling Research Skills through School Libraries

Abstract This article focuses on the impact that school libraries can have on the informational and research skills of an individual if utilised as proposed while working within the academic framework of the institution that they serve. The benefits of introducing high school students to the world of research and the structured approach to it is discussed in detail along with how it improves student performance as well as equipping them with the tools and techniques they will need as they move forward with confidence to higher education and the professional environment. The paper also visits in brief the research process that can be utilized at a beginner’s level and the challenges school libraries continue to face in the path of establishing themselves as the linchpin of research projects / assignments in the institutions that they serve

Biochemical characterization of pink husked coconut types

Coconuts with various traits are available in different coconut growing countries. The pink husk is one such trait that has already been reported in coconut. There is a demand for tender nut water from pink husked types of coconut to treat hepatitis by traditional medicinal practitioners. Present studies were carried out to characterize pink husked types identified in Guam Tall variety of coconut. There were no morphological differences with respect to the nut characters between pink and non-pink husked types. Biochemical characterization of pink husked types revealed significantly higher total phenol content in the tender nut water of pink husked types than normal husked types. A significantly higher protein content of 86 mg 100 mL-1 was noted in pink husked type, compared to normal husked type with 58.7 mg 100 mL-1. Higher free radical scavenging activity based on DPPH assay with pink husked type was recorded with an IC50 value of 266.7 compared to normal type with an IC50 value of 358. Similarly, phosphomolybdate assay also revealed higher scavenging activity of pink husked type based on the IC50 value of 415.2 compared to 637.9 observed in normal husked type. Anthocyanin content of 25.98 mg 100g-1 fresh weight was noted in the exocarp of pink husked types, and it was negligible in normal husked type. These results justify the use of pink husked coconuts in various traditional medicines. There is tremendous potential for exploiting pink husked types of coconut in the pharmaceutical industry

Occurrence of in vitro flowering in coconut (Cocos nucifera L.)

Immature inflorescence with outer spathe length of 5.5 cm size collected from West Coast Tall cultivar of coconut was used as the explant and rachillae bits were inoculated in Y3 media supplemented with 2, 4-D (1 mg L-1). The cultures were incubated in dark for eight months and sub-cultured into the same media at monthly interval. The white shoot like outgrowths formed were sub cultured to ½ MS media fortified with 1 mg L-1 each of NAA and BAP and subsequently transferred to light condition. After three months, the emerging shoot likestructure was transferred to Y3 media fortified with NAA and BAP. Upon developing 3 - 4 leaves, the cultures were transferred to rooting media and root initiation was observed after two months. The transition of vegetative shoot to reproductive state was accompanied by some morphological changes including rapid emergence of long and thin leaves followed by emergence of pearly white inflorescence. Unlike normal inflorescence, the inflorescence emerged was terminal and was devoid of spathe. Prolonged subculture in the same media might have resulted in pH variation and subsequent reduction in organic and inorganicconstituents of the media. The chemical stress experienced by the plantlet might have induced in vitro flowering

PRED(BALB/c): a system for the prediction of peptide binding to H2(d) molecules, a haplotype of the BALB/c mouse

PRED(BALB/c) is a computational system that predicts peptides binding to the major histocompatibility complex-2 (H2(d)) of the BALB/c mouse, an important laboratory model organism. The predictions include the complete set of H2(d) class I (H2-K(d), H2-L(d) and H2-D(d)) and class II (I-E(d) and I-A(d)) molecules. The prediction system utilizes quantitative matrices, which were rigorously validated using experimentally determined binders and non-binders and also by in vivo studies using viral proteins. The prediction performance of PRED(BALB/c) is of very high accuracy. To our knowledge, this is the first online server for the prediction of peptides binding to a complete set of major histocompatibility complex molecules in a model organism (H2(d) haplotype). PRED(BALB/c) is available at

Copper complexes as chemical nucleases

Redox active mononuclear and binuclear copper(II) complexes have been prepared and structurally characterized. The complexes have planar N-donor heterocyclic bases like 1,10-phenanthroline (phen), dipyridoquinoxaline (dpq) and dipyridophenazine (dppz) ligands that are suitable for intercalation to B-DNA. Complexes studied for nuclease activity have the formulations [Cu(dpq)2(H2O)] (ClO4)2.H2O (1), [CuL(H2O)2(μ-ox)](ClO4)2 (L = bpy,2; phen,3; dpq,4; and dppz,5) and [Cu(L)(salgly)] (L = bpy,6; phen,7; dpq,8; and dppz,9), where salgly is a tridentate Schiff base obtained from the condensation of glycine and salicylaldehyde. The dpq complexes are efficient DNA binding and cleavage active species. The dppz complexes show good binding ability but poor nuclease activity. The cleavage activity of thebis-dpq complex is significantly higher than thebis-phen complex of copper(II). The nuclease activity is found to be dependent on the intercalating nature of the complex and on the redox potential of the copper(II)/copper(I) couple. The ancillary ligand plays a significant role in binding and cleavage activity