This article aims to determine the time-dependent heat coefficient together with the temperature solution for a type of semi-linear time-fractional inverse source problem by applying a method based on the finite difference scheme and Tikhonov regularization. An unconditionally stable implicit finite difference scheme is used as a direct (forward) solver. While by the MATLAB routine lsqnonlin from the optimization toolbox, the inverse problem is reformulated as nonlinear least square minimization and solved efficiently. Since the problem is generally incorrect or ill-posed that means any error inclusion in the input data will produce a large error in the output data. Therefore, the Tikhonov regularization technique is applie

A numerical method is developed to obtain two-dimensional velocity and pressure distribution through a cylindrical pipe with cross jet flows. The method is based on solving partial differential equations for the conservation of mass and momentum by finite difference method to convert them into algebraic equations. This well-known problem is used to introduce the basic concepts of CFD including: the finite- difference mesh, the discrete nature of the numerical solution, and the dependence of the result on the mesh refinement. Staggered grid implementation of the numerical model is used. The set of algebraic equations is solved simultaneously by “SIMPLE” algorithm to obtain velocity and pressure distribution within a pipe. In order to

In this paper, there are two main objectives. The first objective is to study the relationship between the density property and some modules in detail, for instance; semisimple and divisible modules. The Addition complement has a good relationship with the density property of the modules as this importance is highlighted by any submodule N of M has an addition complement with Rad(M)=0. The second objective is to clarify the relationship between the density property and the essential submodules with some examples. As an example of this relationship, we studied the torsion-free module and its relationship with the essential submodules in module M.

Background: During the COVID-19 outbreak, the number of patients who have developed acute coronary syndromes (ACS) has soared rapidly, cardiovascular disease and mortality are influenced by the elevated inflammatory biomarkers. The aim of this study is to compare inflammatory markers between patients with ACS who hadn’t previously had COVID-19 and those who’d be infected within the preceding three months; as well as, evaluating the effect of statins on inflammatory biomarkers.

Methods: This is a comparative cross-sectional study of 42 patients who presented with ACS and had previously had COVID-19 and 48 patient who had never had CO

  The Schiff bases (1-10) were synthesized by the reaction of cefixime  with aldehydes derivatives. The characterization of Schiff bases were carried out, by using   spectroscopic techniques including IR, U.V – Vis, H1-NMR, EI-MS along with elemental analyses (C.H.N.).

   The study involved the removal of acidity from free fatty acid via the esterification reaction of oleic acid with ethanol. The reaction was done in a batch reactor using commercial 13X zeolite as a catalyst. The effects of temperatures (40 to 70 °C) and reaction time (up to 120 minutes) were studied using 6:1 mole ratio of pure ethanol to oleic acid and 5 wt. % of the catalyst. The results showed that acid removed increased with increasing temperature and reaction time. Also, the acidity removal rises sharply during the first reaction period and then changes slightly afterward. The highest acidity removal value was 67 % recorded at 110 minutes and 70 °C. An apparent homogeneous reversible reaction kinetic model has been proposed a

In the current work, the mixing ratios ( 𝛿 ) of gamma transitions were calculated from energy levels in the isotopes neodymium 60𝑁𝑎 142−150 populated in the 60Nd 142− 150 (n, n ˊγ) 60Nd 142− 150 using the 𝑎2 ratio method. We used the experimental coefficient (𝑎2 ) for two γ-transitions from the initial state itself, the statistical tensor 𝜌2(𝐽𝑖), associated with factor 𝑎2 , would be the same for the two transitions. The results obtained are in good agreement or within the experimental error with -those previously published. And existing contradictions resulting from inaccuracies in the empirical results of previous work. The current results confirm that the , 𝑎2 − method is used to calculate th

Introduction and Aim: Forkhead box P3 (FOXP3) and interleukin-10 (IL-10) are the key regulators controlling the activity of Treg cells, which are crucial for maintaining immune tolerance and reducing autoimmune reactions. The objective of this study was to investigate the potential utility of elevated levels of FOXP3 and IL-10 gene expression as a diagnostic indicator in patients with rheumatoid arthritis (RA).   Materials and Methods: The study used quantitative polymerase chain reaction (qPCR) to examine the expression levels of FOXP3 and IL-10 transcripts in whole blood samples from Iraqi patients with rheumatoid arthritis. A group of healthy control subjects were also included in the study.   Results: In blood samples taken fr

The mean age of AS patients was (35.0 ± 9.8) years.When the patients and control subjects were divided into different age groups (>40, 30-40, <30 years), the differences were not significantin terms of disease prevalence. The results also showed that the percentage of male patients is higher than that of females. There was no significant difference (P?0.05) between patients and controls in the distribution of males and females.Most of the patients had the disease for a period of 5 years or higher, with a disease severity of ? 2.1 and functional disability degree of I, II. The resultsshoweddifferent patterns of distribution for the three tested cytokines. A significant increase in the level of TNF-?, anon-significantincrease i