On a coupled system of functional integral equations of Urysohn type

In this paper we shall study some existence theorems of solutions for a coupled system of functional integral equations of Urysohn type

New Solutions for System of Fractional Integro-Differential Equations and Abel’s Integral Equations by Chebyshev Spectral Method

Chebyshev spectral method based on operational matrix is applied to both systems of fractional integro-differential equations and Abel’s integral equations. Some test problems, for which the exact solution is known, are considered. Numerical results with comparisons are made to confirm the reliability of the method. Chebyshev spectral method may be considered as alternative and efficient technique for finding the approximation of system of fractional integro-differential equations and Abel’s integral equations

Molecular detection of circulating thyroid specific transcripts (TSHR/Tg-mRNAs) in thyroid cancer patients: Their diagnostic significance

Thyroid cancer is the most prevalent endocrine malignancy. The preoperative diagnosis of differentiated thyroid cancer (DTC) that relies solely on fine-needle aspiration (FNAC) biopsy, sometimes possesses conflicting results. New molecular markers for thyroid cancer have been investigated with most of them based on the detection in thyroid nodules or tumor tissue specimens. Recently, it was possible to detect thyroid cancer cells in the circulation by measuring the mRNA of thyroid specific genes. Among these, thyroglobulin and more recently thyroid stimulating hormone receptor mRNAs, TSHR/Tg-mRNAs in peripheral blood might serve as cancer-specific markers. These have become promising new circulating markers for thyroid cancer. The purpose of this study is to assess TSHR/Tg-mRNAs as diagnostic molecular markers for thyroid cancer and if they can be used preoperatively in synergy with FNAC. This study was performed on 60 subjects; 20 healthy volunteers and 40 patients; including 16 patients with benign thyroid diseases, 24 patients with thyroid cancer; 18 patients with newly diagnosed (DTC) and 6 patients with recurrent thyroid cancer. Diagnosis of cancer was based on FNAC and histopathology of surgical specimens. All subjects had TSHR/Tg-mRNAs in peripheral blood measured by reverse transcriptase (RT)-PCR. Based on cytology/pathology; 18 patients had newly diagnosed DTC and 11 had benign thyroid disease. Preoperative FNAC was performed on 29 of 40 patients; FNAC was diagnostic in 11/18 of malignant lesions (61.1%), in 8/11 of benign lesions (72.7%), while 10/29 (34.5%) were indeterminate. TSHR/Tg-mRNAs correctly diagnosed DTC in 20/24 and 19/24 (sensitivity 83.3% and 79.1%) and benign disease in 14/16 and 13/16 (specificity 87.5% and 81.3%), respectively. With indeterminate FNA, TSHR/Tg-mRNAs correctly diagnosed DTC (follicular type) in 5/7 and benign disease in 2/3 (combined sensitivity 71.4%; specificity 66.7%). There was high concordance between RT-PCR results for TSHR-mRNA and Tg-mRNA. Of the controls 19/20 (95%) and 16/20 (80%) were negative for both TSHR- and Tg-mRNAs. With the use of a carefully selected primer pair and qualitative RT-PCR; our results indicate that TSHR/Tg-mRNAs in peripheral blood are both equally sensitive and specific markers for detection of thyroid cancer cells. Combining TSHR/Tg-mRNAs and FNAC and ultrasound enhances the preoperative detection of cancer in patients with thyroid nodules, reducing unnecessary surgeries and correctly classified most follicular cancers and could have spared surgery in patients with benign disease.Keywords: Differentiated thyroid Cancer; TSHR/Tg-mRNAs; Fine-needle aspiration cytology; Thyroid nodules; Indeterminate lesions; Molecular marke

Phytochemical Content and Antioxidant Potential of Citrus reticulata Collected in the Thanjavur District, South India

This study was designed to investigate the phytochemical and the antioxidant activities of fruits, peels and leaves extracts of Citrus reticulata. The total alkaloids, saponin, phenolic acid and flavonoids were determined spectrophotometrically while antioxidant potentials were evaluated with 2,2’-diphenyl-1-picrylhydrazyl (DPPH), hydrogen peroxide (H2O2) protocols. The fruit extract shows the highest phenolic acid content of 33.94 mg/GAE/g. Flavonoids content was highest in the peels extract 14.30 mg/QE/g. All the extracts showed significant antioxidant activities H2O2, DPPH along a concentration gradient. Antioxidant capacity is also high in the test plant suggesting its biomedicinal value to human health

On the stability of a fractional-order differential equation with nonlocal initial condition

The topic of fractional calculus (integration and differentiation of fractional-order), which concerns singular integral and integro-differential operators, is enjoying interest among mathematicians, physicists and engineers. In this work, we investigate initial value problem of fractional-order differential equation with nonlocal condition. The stability (and some other properties concerning the existence and uniqueness) of the solution will be proved

Orally active antischistosomal early leads identified from the open access malaria box.

BACKGROUND: Worldwide hundreds of millions of schistosomiasis patients rely on treatment with a single drug, praziquantel. Therapeutic limitations and the threat of praziquantel resistance underline the need to discover and develop next generation drugs. METHODOLOGY: We studied the antischistosomal properties of the Medicines for Malaria Venture (MMV) malaria box containing 200 diverse drug-like and 200 probe-like compounds with confirmed in vitro activity against Plasmodium falciparum. Compounds were tested against schistosomula and adult Schistosoma mansoni in vitro. Based on in vitro performance, available pharmacokinetic profiles and toxicity data, selected compounds were investigated in vivo. PRINCIPAL FINDINGS: Promising antischistosomal activity (IC50: 1.4-9.5 µM) was observed for 34 compounds against schistosomula. Three compounds presented IC50 values between 0.8 and 1.3 µM against adult S. mansoni. Two promising early leads were identified, namely a N,N'-diarylurea and a 2,3-dianilinoquinoxaline. Treatment of S. mansoni infected mice with a single oral 400 mg/kg dose of these drugs resulted in significant worm burden reductions of 52.5% and 40.8%, respectively. CONCLUSIONS/SIGNIFICANCE: The two candidates identified by investigating the MMV malaria box are characterized by good pharmacokinetic profiles, low cytotoxic potential and easy chemistry and therefore offer an excellent starting point for antischistosomal drug discovery and development

Microalgae production in fresh market wastewater and its utilization as a protein substitute in formulated fish feed for oreochromis spp.

Rapid growing of human population has led to increasing demand of aquaculture production. Oreochromis niloticus or known as tilapia is one of the most globally cultured freshwater fish due to its great adaptation towards extreme environment. Besides, farming of tilapia not only involves small scales farming for local consumption but also larger scales for international market which contributes to a foreign currency earning. Extensive use of fishmeal as feed for fish and for other animals indirectly caused an increasing depletion of the natural resource and may consequently cause economic and environmental unstable. Microalgae biomass seems to be a promising feedstock in aquaculture industry. It can be used for many purposes such as live food for fish larvae and dried microalgae to substitute protein material in fish feed. The microalgae replacement in fish feed formulation as protein alternative seem potentially beneficial for long term aqua-business sustainability. The present chapter discussed the potential of microalgae as an alternative nutrition in fish feed formulations, specifically Tilapia

A comprehensive view of the solvability of non-local fractional orders pantograph equation with a fractal-fractional feedback control

In this article, the solvability of the pantograph equation of fractional orders under a fractal-fractional feedback control was investigated. This investigation was located in the class of all continuous functions. The necessary conditions for the solvability of that problem and the continuous dependence of the solution on some parameters and the control variable were established with the help of some fixed point theorems. Additionally, the Hyers-Ulam stability of the issue was explored. Finally, some specific problems extended to the corresponding problem with integer orders were illustrated. The theoretical results were supported by numerical simulations and comparisons with existing results in the literature

GENETIC PARAMETERS FOR GROWTH PERFORMANCE TRAITS OF EGYPTIAN BARKI LAMBS USING RANDOM REGRESSION MODEL

Variance components and genetic parameters for growth traits were estimated for Barki lambs using the average information REMLF90 (AIREMLF90). A total of 3205 Barki lambs’ records over the period from 1984 to 2017 from experimental Borg Al-Arab station belonging to Animal Production Research Institute (APRI) were analyzed by fitting Random Regression Model (RRM) with Legendre polynomials (LPs) for body weight traits from birth up to 480 days. Gender, type of birth, year, season and age of dam were considered as fixed effects in addition to the fixed regression on Legendre polynomials, while random regression of additive genetic and permanent environmental effects were considered as random factors in the model. The results showed that all fixed factors and some interactions were significant for all studied traits (P<0.05). Quadratic equation was the best description for growth curve. Additive genetic and permanent environment variances ranged from 0.88 to 6.08 and from 0.88 to 15.33 for birth and thirteen months weights, respectively. Additive genetic and permanent environment covariances ranged from 0.05 to 16.06 and from 0.08 to 9.20 for birth with six months weights and for weaning with ten months weights, respectively. Direct and total heritabilities ranged from 0.05 to 0.41 and from 0.08 to 0.74 for four months and birth weights, respectively. Additive, genetic and phenotypic correlation coefficients were the lowest between birth weight with other studied traits and  the highest between ten months weight with other studied traits. Phenotypic variances were oscillated between 2.27 for birth weight to 22.56 for seven months weight, while, residual variances were oscillated between 0.06 for birth weight to 14.05 for four months weight. Therefore, ten months of age recommended to be the best criterion for selecting Egyptian Barki lambs for meat production