Journal of Mathematical and Fundamental Sciences
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Local Fractional Operator for a One-Dimensional Coupled Burger Equation of Non-Integer Time Order Parameter
Get PDFIn this study, approximate solutions of a system of time-fractional coupled Burger equations were obtained by means of a local fractional operator (LFO) in the sense of the Caputo derivative. The LFO technique was built on the basis of the standard differential transform method (DTM). Illustrative examples used in demonstrating the effectiveness and robustness of the proposed method show that the solution method is very efficient and reliable as "“ unlike the variational iteration method "“ it does not depend on any process of identifying Lagrange multipliers, even while still maintaining accuracy
Decision Tree-Based Classification Model for Identification of Effective Leadership Indicators
Get PDFThis study was aimed at identifying effective leadership abilities as appreciated by soldiers in the Lithuanian armed forces. Leader behavior was measured using an adapted version of the Leader Behavior Description Questionnaire (LBDQ), which was originally developed by Andrew W. Halpin from Ohio State University. Data were collected from soldiers holding different ranks and doing professional military service in all units of the Lithuanian armed forces and were analyzed using the IBM SPSS version 20 software application. For our data analysis, the Chi-square Automatic Interaction Detector (CHAID) decision tree growing method was used with three class dependent variables. The CHAID algorithm helped in specifying the best splits for each of twelve potential predictors and then select the predictors whose splits presented the most serious differences in the sub-populations of the sample. In the Chi-squared significance test, the lowest p-value was achieved. The model structures obtained after analysis are presented
Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method
Get PDFIn this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay. It was shown that the MOHAM algorithm rapidly provides accurate convergent approximate solutions of the exact solution using only one term. A comparative study between the proposed method, the homotopy perturbation method (HPM) and the Taylor matrix method are presented. The obtained results revealed that the method is of higher accuracy, effective and easy to use
Insight into the Interaction of Cationic Porphyrin-Anthraquinone Hybrids with Hsp90: In Silico Analysis
Get PDFHeat shock protein 90 (Hsp90) is responsible for the correct folding of many cellular proteins. Several Hsp90 inhibitors have been developed for cancer treatment. The present in silico study aimed to evaluate the potential of several porphyrin derivatives conjugated with anthraquinone groups as Hsp90 inhibitors by using simulation of molecular docking and molecular dynamics. The binding mode of porphyrin hybrids to Hsp90, which was examined by using AutoDock 4.2, showed that all six porphyrin compounds fit well in the binding pocket of Hsp90. The pi-cationic interactions with Lys58 were exclusively observed in the interaction of each porphyrin hybrid. Stabilities of porphyrin-Hsp90 complexes were confirmed by 40-ns MD simulation, which was carried out with the help of AMBER16. Prediction of ligand affinity by using the MM-PBSA method showed that all complexes were energetically favorable as indicated by a negative binding free energy. The predicted affinities of tris−H2PyP−AQ, tris−H2PzP−AQ, bis−H2PzP−AQ, and mono−H2PzP−AQ are better than those of geldanamycin, a known inhibitor of Hsp90, which shows the importance of the electrostatic and van der Waals energies for ligand binding
On the Global Existence and Boundedness of Solutions of a Certain Integro-Vector Differential Equation of Second Order
Get PDFIn this paper, we consider a nonlinear integro-vector differential equation of the second order. We establish sufficient conditions that guarantee the global existence and boundedness of solutions of the equation considered. The method of proof involves constructing a suitable Lyapunov functional that gives meaningful results for the problem to be investigated. The result obtained is new and complements that found in the literature. We give an example to verify the result obtained and for illustration purposes. Using MATLAB-Simulink, the behaviors of the orbits of the equation considered are clearly shown
Study on Transport Properties of Chitosan Membrane in Different Types of Electrolytes
Get PDFIn this study, the electrical properties of chitosan membrane in different types of electrolytes were investigated by analyzing the current-voltage (I"‘V) curve. The membrane used was chitosan membrane 2%. The different electrolyte solutions used were KCl, HCl, MgCl2, CaCl2 and AlCl3 at concentrations of 0.025 M. The I-V experiments were done using a two-compartment cell, which contained two working electrodes made of platinum connected to a DC current source and two Ag/AgCl reference electrodes connected to a voltmeter. All experiments were conducted at an ambient temperature of 28.7 °C. Water uptake (hydrophilicity) and Fourier transform infrared (FTIR) measurements were also studied in this research. The I-V curves show the ohmic behavior of the membrane. The resistance of the membrane was higher in the electrolyte solutions with larger Stokes radii and lower in the electrolyte solutions with larger diffusion coefficients, except in the HCl solution. These results indicate that the I-V curve shapes are affected by the type of electrolyte solution used for the chitosan membrane transport. The hydrophilicity of the membrane was improved after exposure to the electrolyte solutions. The FTIR analysis revealed a new peak at about 677 cm-1, which indicates the formation of C-Cl groups in the used membranes
Activity of Caprine CSN1S2 Protein Reducing the COX-2 and IL-17 Expression of Aorta Tissue in Type 2 Diabetes Mellitus Rat
Get PDFType 2 diabetes mellitus (T2DM) is a degenerative disease that leads to increased inflammation and cyclooxygenase protein production, which causes tissue abnormalities. The aim of this study was to determine the effect of caprine CSN1S2 protein against abnormal metabolic pathways in the aorta of DM rats. The twenty-four-animal model was control, diabetes and treatment groups. Histopathological evaluation of the aortic tissue by hematoxylin eosin staining. The expression of cyclooxygenase and inflammatory cytokine was measured by western blotting. In the DM750 groups, the amount of discontinued-endothelial was significantly more reduced than in the other groups. The amount of macrophages in the DM1500- group decreased more than in the DM and DM375 groups. The amount of foam cells in the DM750 and DM1500 groups decreased more than in the DM group and was close to all control groups. The expressions of COX-2 and IL-17 were effectively reduced and vice versa the expression of IL-10 was increased in DM750 compared with the other groups. Meanwhile, COX-1 expression did not change in all groups. This study indicates that caprine CSN1S2 protein at a dose of 750 mg/kg BW has a significant effect on controlling, protecting, and repairing abnormalities in the aortic tissue of T2DM rats
Some New Operations of (α,β,γ) Interval Cut Set of Interval Valued Neutrosophic Sets
Get PDFIn this paper, we define the disjunctive sum, difference and Cartesian product of two interval valued neutrosophic sets and study their basic properties. The notions of the (α,β,γ) interval cut set of interval valued neutrosophic sets and the (α,β,γ) strong interval cut set of interval valued neutrosophic sets are put forward. Some related properties have been established with proof, examples and counter examples
Lithium Titanate (LTO) Synthesis Through Solid State Reaction and Its Performance for LiFePO4/LTO Battery
Get PDFLithium titanate, LTO, was synthesized by solid state reaction with Li2CO3 and TiO2 powder as precursors. The result was characterized to investigate its crystal structure, phase content, cell parameters, surface morphology, electrical conductivity and its performance as electrode in a lithium ion battery. XRD analysis with Le Bail refinement showed that the prepared materials consisted of 4 phases of Li4Ti5O12, Li2TiO3, anatase TiO2 and rutile TiO2. The surface morphology was still not homogeneous, with an average grain size of 0.533 ± 0.157 µm. When 1% LTO was mixed with graphite and used as anode of an LFP battery, it produced a specific capacity of 130.66 mAhg"‘1 with Coulombic efficiency of 94.2%. When the composition was 5% of the total anode powder, the specific capacity was 118.74 mAhg-1 and Coulombic efficiency was 92.72%
