In this paper, we study, in details the derivation of the variational formulation corresponding to functional with deviating arguments corresponding to movable boundaries. Natural or transversility conditions are also derived, as well as, the Eulers equation. Example has been taken to explain how to apply natural boundary conditions to find extremal of this functional.
In this paper, the general framework for calculating the stability of equilibria, Hopf bifurcation of a delayed prey-predator system with an SI type of disease in the prey population, is investigated. The impact of the incubation period delay on disease transmission utilizing a nonlinear incidence rate was taken into account. For the purpose of explaining the predation process, a modified Holling type II functional response was used. First, the existence, uniform boundedness, and positivity of the solutions of the considered model system, along with the behavior of equilibria and the existence of Hopf bifurcation, are studied. The critical values of the delay parameter for which stability switches and the nature of the Hopf bifurcat
... Show MoreWe present the notion of bipolar fuzzy k-ideals with thresholds (
Ibuprofen is one of the most important members of NSAIDs, named aryl propionic acid derivative. Isatin (1H-indole-2,3-dione) is an important molecule of heterocyclic compounds that have many biological activities. This work illustrates the synthesis of new ibuprofen-isatin derivatives by connecting ibuprofen hydrazide with different isatin derivatives by a condensation reaction, followed by characterization by fourier-transform infrared spectroscopy (FTIR) and proton nuclear magnetic resonance (1H-NMR) spectroscopy. The anti-inflammatory activity was evaluated by using the egg-white induce edema method for all the synthesized compounds (5-8), the compounds 5 and 6 showed better anti-inflammatory activity than ibuprofen as a standard compoun
... Show MoreAntimicrobial resistance is considered a problem for public health globally. New forms of resistance mechanisms are developing and spreading daily around the world. For that reason, a potential method for overcoming the antimicrobial resistance of several pathogens that cause deadly infections is the use of silver nanoparticles. In the present study, silver nanoparticles (AgNPs) and AgNPs conjugated with lincomycin were synthesized and characterized. The antimicrobial activity of AgNPs alone and after conjugating with lincomycin was also evaluated. Transmission electron microscopy (TEM) and scanning electron microscopy (SEM) were employed to determine the morphological properties of AgNPs and AgNPs-lincomycin, which showed the a
... Show MoreUromodulin is the most abundant protein ordinary excreted in urine which could be used as a biomarker to diagnose kidney diseases. However, evidence suggests that it regulates salt transport, protects against urinary tract infection and kidney stones, and has a role in kidney damage and innate immunity. This study aimed to understand the association of uromodulin gene rs13332878 with chronic kidney disease. More than 100 people were selected for the study and the samples collected from the under study subjects were divided into two groups. 70 chosen subjects were under the dialysis with kidney failure, and aged between 18-88 years. The second group included 30 samples from healthy individuals, used as control. One of t
... Show MoreMenorrhagia is common in patients with uterine fibroids, if operation needs to be delayed for a particular reason, goserelin can be used safely to reduce bleeding and the size of the tumor.The objective is to compare between goserelin acetate and norethisterone on patients with menorrhagia and uterine fibroid. A randomized controlled study conducted in Elwiya maternity teaching hospital, Baghdad from the first of November 2007 to the end of April 2009. 90 patients from the consultant outpatient clinic with menorrhagia and fibroid, and their operations were delayed for medical reason were allocated in two groups, the first group, was given 3.2 mg goserelin acetate subcutaneously monthly for 3 months and the second group was given 5 mg nor
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