On certain new exact solutions of a diffusive predator-prey system

We construct exact solutions for a system of two nonlinear partial differential equations describing the spatio-temporal dynamics of a predator-prey system where the prey per capita growth rate is subject to the Allee effect. Using the $\big(\frac{G'}{G}\big)$ expansion method, we derive exact solutions to this model for two different wave speeds. For each wave velocity we report three different forms of solutions. We also discuss the biological relevance of the solutions obtained.Comment: Accepted for Publication in Commun. Nonlin. Sci. Num. Sim. (2012

On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients

We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schr\"{o}dinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions.Comment: Accepted for publication in The European Physical Journal

Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates

We construct rogue wave and breather solutions of a quasi-two-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap. We show that the trapping potential and an arbitrary functional parameter that present in the similarity transformation should satisfy a constraint for the considered equation to be integrable and yield the desired solutions. We consider two different forms of functional parameters and investigate how the density of the rogue wave and breather profiles vary with respect to these functional parameters. We also construct vector localized solutions of a two coupled quasi-two-dimensional Bose-Einstein condensate system. We then investigate how the vector localized density profiles modify in the constant density background with respect to the functional parameters. Our results may help to manipulate matter rogue waves experimentally in the two-dimensional Bose-Einstein condensate systems.Comment: 16 pages, Published in Eur. Phys. J.

ANALGESIC, ANTI-INFLAMMATORY AND ANTIPYRETIC EVALUATIONS OF NEW ISOQUINOLINE DERIVATIVES

Objective: To evaluate the isoquinoline (N-substituted (E)-4-arylidene-isoquinoline-1,3-dione) derivatives (5a-h) for their anti-inflammatory, analgesic and antipyretic activity potentials in animal models using indomethacin and diclofenac sodium as the standard.Methods: Peripheral and central analgesic activities were determined by induced writhing and tail immersion tests. Carrageenan stimulated rat paw edema model was used to evaluate the anti-inflammatory activities by examining the increase in paw volume and percentage inhibition of paw volume was calculated with plethysmometer at different time periods. Brewer's yeast induced pyresis model was used to assessing the anti-pyretic activity by measuring the decreased rectal temperature.Results: Compounds 5g>5d>5h showed anti-inflammatory, analgesic and antipyretic activities and they were significant with p<0.001 and comparable with the control group. The results coincided with our previous report which suggests that the compounds 5g>5d>5h may take into further druggability evaluations.Conclusion: New isoquinoline derivatives produced significant anti-inflammatory, analgesic, and antipyretic activities and this suggests that these derivatives need further drug development evaluations especially for the compounds 5g>5d>5h.Keywords: N-substituted (E)-4-arylidene-isoquinoline-1,3-dione, Carrageenan, Anti-inflammatory, Analgesic, Diclofenac sodium, Antipyretic, Indomethaci

Micro/Nanostructure and tribological characteristics of pressureless sintered carbon nanotubes reinforced aluminium matrix composites

This study reports the manufacture, microstructure, and tribological behaviour of carbon nanotube reinforced aluminium composites against pure aluminium. The specimens were fabricated using powder metallurgy method. The nanotubes in weight percentages of 0.5, 1.0, 1.5, and 2.0 were homogeneously dispersed and mechanically alloyed using a high energy ball milling. The milled powders were cold compacted and then isothermally sintered in air. The density of all samples was measured using Archimedes method and all had a relative density between 92.22% and 97.74%. Vickers hardness increased with increasing CNT fraction up to 1.5 wt% and then reduced. The microstructures and surfaces were investigated using high resolution scanning electron microscope (SEM). The tribological tests showed that the CNT reinforced composites displayed lower wear rate and friction coefficient compared to the pure aluminium under mild wear conditions. However, for severe wear conditions, the CNT reinforced composites exhibited higher friction coefficient and wear rate compared to the pure aluminium. It was also found that the friction and wear behaviour of CNT reinforced composites is significantly dependent on the applied load and there is a critical load beyond which CNTs could have adverse impact on the wear resistance of aluminium

Dry Gas Seal Failure and Trouble Shooting

Case StudyCase Study 1

A Stochastic Recoupment Model for the Increase of Oxytocin Due To Human Stress

The theoretical study for the effect of stress induced by the psychosomatic drug cocaine on the Oxytocin levels is investigated.  Using a stochastic recoupment model, the expected number of failures and failure intensity function of Oxytocin has been obtained in the high responders (HR) and low responders (LR) to novelty.  The results show that high responders displayed a higher increasing level of Oxytocin than low responders. Keywords: Stochastic Recoupment Model, Failure intensity, Oxytocin, High responders, Low responders. 2010 Mathematics Subject Classification: 97Mxx, 93A30, 60-X

siRNA knockdown of SPHK1 in vivo protects mice from systemic, type-I Allergy.

Systemic anaphylaxis is considered to be a typical immediate hypersensitivity response, determined by the activation of immune cells,
via antigen-induced aggregation of IgE-sensitized FcεRI cells. Perhaps most the important cells, in the immediate hypersensitivity responses, are mast cells. We have previously shown that SPHK1 plays a key role in the intracellular signaling pathways triggered by FceRI aggregation on human
mast cells. More recently, we performed a genome-wide gene expression profiling of human mast cells, sensitized with IgE alone, or stimulated by FcεRI aggregation. We found that sphingosine kinase 1 (SPHK1) was one
of genes activated at the earlier stages of mast cell activation, including during sensitization. Moreover, SPHK1 has been shown, by us and others, to be a key player in the intracellular signaling pathways triggered by
several immune-receptors, including fMLP, C5a, and Fcg- and Fcereceptors. Here we have investigated the in vivo role of SPHK1 in allergy, using a specific siRNA to knockdown SPHK1 in vivo. Our results support a role for
SPHK1 in the inflammatory responses that share clinical, immunological, and histological features of type I hypersensitivity. Thus, mice pretreated with the siRNA for SPHK1 were protected from the IgE mediated allergic
reactions including: temperature changes, histamine release, cytokine production, cell-adhesion molecule expression, and immune cell infiltration into the lungs

A STUDY ON FUZZY EXPECTED VALUE FOR THE EFFECT OF OXYTOCIN USING GENERALIZED GAMMA DISTRIBUTION

Weconsider a fuzzy generalized gamma distributionand is used to study the effect of different dosages of oxytocin in during caesarean section. The exhaustive testing phases are follows: the mean values of the fuzzy generalized gamma distribution for different doses oxytocin (5u and 10 u) were calculated.Testing hypothesis were used to find the preeminent doses was conversed. This investigate confirmations that mean of oxytocin 5u dose has significant effect than the 10u dose