Volume 20 – Issue 2

In this paper, we solve inverse problem for Dirac System. Especially, we show that it is possible to obtain the uniqueness of the potential function by using spectrums.

In this article, we employed the 3D-fractional Wazwaz-Benjamin-BonaMahony (3D-FWBBM) equation with its spatial and temporal variables which is stretch for the Korteweg-de-Vries equation that represent the unidirectional propagation of small amplitude long waves on the surface of hydro magnetic and acoustic waves in channel specially for shallow water. New exact soliton solution has been realized using the ( G’ / G) expansion method. Furthermore, the numerical solution of the suggested equation according to the variational iteration method (VIM) is listed effectively. A good comparison between the obtained exact and numerical solution are successfully demonstrated.

Present article takes into account results on Hadamard type inequality. It intents to generalize some of the existing fractional integral inequalities of Hadamard type inequality for harmonically convex functions to corresponding k-fractional inequalities, by using the classic k-fractional integrals. For this purpose first a significant Hadamard type inequality for harmonically convex functions via k-fractional integrals is procured. Then the differences of middle term with right and left terms of the aforesaid inequalities are estimated

In this study, an analysis of the dynamic behavior of the delay prey-predator population model is presented. The delay parameter is selected as the value of the bifurcation; and the bifurcation value of the coexistence equilibrium point of the system is calculated.

In this paper, we construct MacDonald codes of type α over the ring F2+uF2+νF2, where u^2 = u, ν^2 = ν, uν = νu = 0, F2 = {0,1} is the field of two elements and investigate their properties such as torsion codes and weight distributions.

This paper deals with some new definite integrals of newly defined k Bessel function of first kind due to Gehlot. The Laplace transform of the k Bessel function is also obtained. Certain new integral representation of k Bessel function are also investigated. The known results of classical Bessel functions are seen to follow as special cases.

For each positive integer , the Lucas-sum graph Hn on vertices 1, 2, … , n is defined by two vertices forming an edge if and only if they sum two Lucas number. In this paper, Lucas-sum graph was defined and some properties of this graph were examined.

In this parer, we consider Padovan numbers with different initial values. We define the Gadovan numbers which generalizes a new class of Padovan numbers, and we derive Binet-like formulas, generating functions, exponential generating functions for the Gadovan numbers. Also, we obtain binomial sums, some identities and a matrix of the Gadovan numbers.

In this study, the unsteady convection-diffusion equation in one-dimension has been solved by using a hybrid matrix-collocation method which is based on Lerch and Taylor polynomials along with collocation points. The method reduces the solution of the given convection-diffusion equation with the initial and boundary conditions to the solution of a matrix equation corresponding to linear algebraic equations system with unknown Lerch coefficients. Also, the error estimation on technique related with residual functions is developed and some illustrative examples to show the effectiveness and convenience of the
method are fulfilled. Moreover, the proposed algorithm can be used to solve other linear or nonlinear physical problems

In this paper, it is an operational matrix method associating Chebyshev polynomials to solve linear Fredholm-Volterra integro-differential (FVDE) equations. Using Chebyshev finite series, the method reduces any problem to a system of algebraic equation including unknown Chebyshev coefficients. Comparisons with the exact solution and other numerical techniques are presented to show the efficiency of the proposed method. It is achieved by more Chebyshev terms for morebetter accuracies. Exact solutions are obtained when the solutions are themselves polynomials.

In this paper, firstly, we interested in finding the relationships among the densities of sets of collinear points, among the densities of non-collinear points and among the densities of sets of intersecting non-null lines in Lorentzian plane. Furthermore, we concerned with the density formulas of sets of points and the sets of non-null lines under the two-parameter planar Lorentzian motion.

In this paper, the theoretical foundations of algorithms is used to generate observations of a random variable follow Standard Normal Distribution N(0,1) these observations then turned into a general normal distribution N(µ,σ^2) ,using simulation experiments for each algorithm, measuring the efficiency of the algorithm with several statistical criteria under different samples size (small, medium, large). Each experiment has
been repeated 10,000 times. Results demonstrated that Matlab method was more efficient than the rest of algorithm methods. Also, it showed that the ratio was greater by 34% and it censuses less running time.

The human resource is unique and may bring performance for organizations if these may know from time if it is valuable, rare, inimitable, or non-substitutable. To determine its value, the organizations must implement some specific programs, economical, statistical, and mathematical, as VRIN architecture. To calculate its value, there were used integral calculations, due to their graphic resambling (the exponential increasing for VRIN elements). The study is presenting the literature in the field, the importance of VRIN architecture and then is made a research based on using a mathematical function which may help practitioners and HR specialists to determine the value of human resources, to motivate and develop these resources. The advantages of using these two models are very important, cost-efficient and may contribute of growing individual and organizational performance.

This article presents the benefits of marketing databases (MDB) and highlights its importance in analyzing and tracking the customers’ direct responses using economic and mathematical models. Due to the continuously changing behavior of customers and the uncertain environment, our article will show that to satisfy customers and to obtain performance, the creation of MDB represents an essential step in efficiently communicating and improve marketing efficiency. This study also aims to investigate (using E-views and regression function) if, in this digital economy, there is a relationship between creating MDB
and the ability of customers to work with the Internet, to order goods online and also if the organization can implement a marketing software. Finally, our research shows the importance of measuring the value of customers by implementing adequate models of analyzing the loyalty of the customers.

The use of an anesthetic cocktail is a common practice in the department of emergency and intensive care. This therapeutic practice must be carefully monitored and customized in patients with associated pathologies. Anesthesia should be administered with great caution in situations of metabolic acidosis. The present study aimed at the theoretical evaluation of the influence of metabolic acidosis on the combined administration of an opioid and a benzodiazepine anesthetic. The molecular docking technique was performed using the software Autodock 4.2, which allows a simulation of the interaction of the protonated target in
the range of pH 6.8-7.4 with the therapeutic ligand. The ligand / target interaction was visualized using Discovery Studio software, which creates 2D maps and shows the type of interaction between the two entities. From the obtained data it is observed that metabolic acidosis in the range 6.8-7.1 increases the strength of the ligand / target interaction, both in the case of the opioid / target and in the case of the benzodiazepine / target interactions. Taking into account the potentiated cumulative effect and the patient possible pathologies associated, it is necessary to adjust the doses of anesthetic in the case of metabolic acidosis, to avoid the occurrence of adverse reactions.

This study aims to evaluate the chitosan-loaded bacteriophage gel (CLBG) for the treatment of tropical skin ulcer (TSU) against Fusobacterium ulcerans. The sewage was collected, isolated and suspended to obtain the phage. The plaque formed from phage propagation was then collected and recorded. The chitosan gel was prepared and mixed with activated bacteriophage lysate and tested using the Minimum Inhibitory Concentration (MIC) and disc diffusion tests. Physico-chemical evaluation of the loaded gel was observed including viscosity, texture, TEM and pH. The plaque-forming units (PFU) of the bacteriophage were 6.8×10^4 PFU/mL, 2.3×10^4 PFU/mL, 1.1×10^4 PFU/mL and 4.0×10^4 PFU/mL. Physical evaluation revealed a milky yellowish formation of a gel texture with a pH of 4.63. Microscopic evaluation showed the morphology of chitosan and live tailless bacteriophage. The MIC values of CLBG against the selected pathogens were 1.0 x 10^-5 mL/mL and 1.0 x 10^-6 mL/mL, respectively. The zone of inhibition (ZI) for the CLBG was greater (>48mm) compared to gentamicin (positive control >25mm). Statistical analysis using One-Way Anova showed the highly significant value of this study with p<0.001. The CLBG demonstrated a greater synergism effect against the selected pathogen. Hence, the CLBG has a great potential to be a novel drug delivery for the treatment of tropical skin ulcer.

Abstract. The integrity of cold chain is vital to preserve the quality of refrigerated meat products, the inadequate storage and distribution route temperatures being able to lead to irreversible consequences on the overall sausages quality. The reception in the wholesale stores, storage in refrigerators, labeling, storage in retail markets, and presentation for sale (as links of the cold chain) is well-known problem areas. The present study was designed to evaluate the quality of Trandafir sausages during distribution route to the final consumer, by hydrogen sulphide identification, easily hydrolysable nitrogen determination, and pH determination. The results reveal that the initial properties of Trandafir sausages were retained during distribution route to the final consumer. The study clearly shows a good integrity of refrigeration chain for Trandafir sausages marketing.

Capsaicin is the most preponderant and naturally occurring alkamide found in hot peppers. Since its discovery in the 19^th Century, the therapeutic roles of capsaicin have been well tested and characterized, due to the potential applications of capsaicin from a large area, from food flavorings, cosmetics, to maintaining the health of the body, like analgesic, anti-obesity, anti-pruritic, anti-inflammatory, anti-apoptotic, anti-cancer, anti-oxidant, neuroprotective properties. In this research are presented two extraction methods (maceration and ultrasonication) and characterization of extracts using analytical techniques (FTIR, UV-VIS). Also, are presented phytochemical results and antioxidant activity of three hot pepper types (red, yellow and green).

. The antimicrobial activity of the amide derivatives depends on the stability of the complex formed by their interactions with the biological receptor. The interaction between the ligand (amide derivative) and the biological receptor is visualized in the 2D diagrams of the molecular docking method used. In hydrogen-binding interactions are involved the amino acids Gly133, Gly86, Gly156, Gin154, Thr155 from the active sites of
Gram-negative Escherichia coli bacteria (PDB ID: 3t88) for the most active compounds. In the case of Gram-positive Staphylococcus aureus bacteria (PDB ID: 3Q8U), the hydrogen bond interactions of the most active compounds involve the amino acids Arg102, Asn112, His115, His52, Thr91. For the Candida albicans (PDB ID: 3WBZ), the hydrogen bonds involve the same amino acids Glu15, Lys14 şi Tyr17. In the case of Aspergillus niger fungi (PDB ID: 1QO7), the hydrogen bonds involve the following amino acids Ala217, Arg219, Arg199, Cys216 şi Thr317. In all cases, the atoms involved in the interaction are nitrogen and oxygen in the molecules of the two participants.

The treatment of bone and joint infections is very difficult to achieve, the challenge being to create antibiotic-functionalized implants on their surface, for local release at the bone level of the pharmacologically active agent. In the present study we performed implants based on hydroxyapatite (HAp), HAp reinforced with titanium particles (HApTi) and HapTi with added calcium fructoborate (CaFb) by chemisorption deposition method (HApTiCaFb). The implants was immersed in gentamicin (GTN) solution for 48 hours, then was determined the release profile of antibiotic for 14 days and the antibacterial effect of the three types of composite. The period of antibiotic release may be considered as sufficient to support osteointegration under antibacterial protection.

Analysis of the Carduus acanthoides folium (CAF) tincture in UV-Vis spectra shows the presence of the maximum absorbance for chlorophyll a (i.e., λ = 640-670 nm) and two maximum absorbances at wavelengths 530-540 nm and 600-610 nm, probably due to flavonoids. The vibrations in the Fourier-transform infrared spectroscopy (FTIR) spectra of the tincture are attributed to the polyphenol compounds (flavonoids, polyphenolcarboxylic acids), carotenoids (β-carotene, carotenoid esters), triglycerides, phytosterols, and amino acids. The current study aimed, also, to investigate the antimicrobial potential of CAF tincture against five bacterial strains. The synergistic / antagonistic effect on the association between the tincture and the antibiotics of choice was tested. Following the research it was observed that the tincture has antibacterial effect against Staphylococcus aureus and Escherichia coli, the bacterias being classified as sensitive. The combination of tincture with the antibiotics of choice leads to the reduction of the antibacterial effect, and
their association is not recommended.

The study aims a chemometric-based vibrational spectroscopy investigation, Fourier transform infrared (FTIR) and Raman spectroscopy, on the hydroalcoholic extracts obtained from four variety of red grapes (skin). The multivariate analysis, by combining both principal component analysis (PCA) and linear discriminant analysis (LDA) approaches (called PC-LDA model), applied on the FTIR and Raman spectral data was performed to
determine the differences in the chemical composition according to the red grapes variety and the type of vineyards (i.e. conventional or traditional and ecological), correlated also with antioxidant activity and total phenolic content values of the extracts. By applying PC-LDA model a separation between extracts from different vineyads can be observed. A well-defined differentiation based on antioxidant activity and total phenolic content could not be highlighted. Among the extracts, those obtained from ecological varieties showed the greatest similarity, indicating that these extracts have equivalent chemical composition.

Objective: We evaluated the effects of neuromuscular electrical stimulation (NMES) therapy on functional capacity and oxidative stress in patients hospitalized for acute heart failure (AHF). Design: We included 30 consecutive patients admitted for AHF with a left ventricular ejection fraction ≤ 50% who were randomized into two groups: NMES therapy added on conventional rehabilitation (CR) (n = 15, 67.2 ±13.35 years) and CR alone (n = 15, 63.26 ± 10.29 years). NMES therapy was performed at the level of the quadriceps muscle bilaterally, daily, for 60 minutes with a frequency of 10 Hz. Results: The mean duration of NMES therapy was 6.93 ± 2.54 days. Functional capacity assessed by the 6 minute walk test was significantly improved in the group with NMES therapy (p=0.036). The oxidized LDL value showed a decreasing trend compared to the admission value in the group with NMES therapy, but without statistical significance. Conclusion: This paper shows that for patients with AHF, NMES therapy used for a short term and initiated early during the hospitalization
period improves exercise tolerance, suggesting the importance and possible necessity of including it as standard cardiac recovery therapy. NMES did not influence the plasmatic value of oxidized LDL.

The dynamic viscosity of coconut oil was measured as a function of shear rate at different temperature ranged from 40°C to 100°C. In this study, shear stress and the dynamic viscosity as a function of temperature of coconut oil decrease with increasing temperatures. Three and multi-constant formula were proposed to obtain more suitable prediction of temperature dependence of shear stress and dynamic viscosity of coconut oil. This work shows that the behavior of coconut oil at the temperature ranged from 40°C to 100°C is Newtonian behavior by fitting the model of power law.