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Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences
Abstract<p>In this paper, two meshless methods have been introduced to solve some nonlinear problems arising in engineering and applied sciences. These two methods include the operational matrix Bernstein polynomials and the operational matrix with Chebyshev polynomials. They provide an approximate solution by converting the nonlinear differential equation into a system of nonlinear algebraic equations, which is solved by using <italic>Mathematica</italic>® 10. Four applications, which are the well-known nonlinear problems: the magnetohydrodynamic squeezing fluid, the Jeffery-Hamel flow, the straight fin problem and the Falkner-Skan equation are presented and solved using the proposed methods. To illustrate the accuracy and efficiency of the proposed methods, the maximum error remainder is calculated. The results shown that the proposed methods are accurate, reliable, time saving and effective. In addition, the approximate solutions are compared with the fourth order Runge-Kutta method (RK4) achieving good agreements.</p>
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Publication Date
Wed Oct 07 2020
Journal Name
Indian Journal Of Forensic Medicine &amp; Toxicology
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Publication Date
Mon Jul 24 2023
Journal Name
Research Journal Of Pharmacy And Technology
Comparison of the effects of Methotrexate and Etanercept on RANKL and OPG as Bone Metabolism Biomarkers in patients with Rheumatoid Arthritis

Rheumatoid arthritis is an autoimmune diseasecharacterized by chronic inflammationthat affects joints and cartilage. Bone complications such asRA-relatedosteoporosis are one of the most extra-articular manifestations. Many inflammatory mediators are released during RA disease pathophysiology; these mediators stimulate osteoclast genesis of bone by direct effects on RANKL and OPG. The study aimedto measure RANKL, OPG in RA patients treated with Etanercept only and other groups treated with Methotrexate onlyat baseline and after three months to evaluate bone state. An observational case-control prospective study was done on 30 RA patients who received MTX, 30 RA patients who received ETN, and 30 healthy,age-matched control groups. The

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Publication Date
Mon Jul 01 2024
Journal Name
Journal Of The Faculty Of Medicine Baghdad
The Burden of Chronic Obstructive Pulmonary Disease COPD in Stable Patients and its Association with Inflammatory Biomarkers and Body Mass Index

Background: Chronic obstructive pulmonary disease (COPD) is a progressive airflow limitation that is preventable but not curable. It is associated with persistent symptoms that cause a considerable burden on individual productivity at work, and daily activities, and reduced quality of life, also burdening the healthcare system and society. Objectives: The study aims to measure the burden of COPD on patients in terms of daily activities and work productivity. It also seeks to investigate some inflammatory biomarkers' levels and their correlation with selected outcomes. Patients and Methods: A cross-sectional study on 120 stable COPD patients who were diagnosed and treated according to the GOLD guidelines at Kirkuk General Hospital's

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Publication Date
Thu Oct 01 2020
Journal Name
Plant Archives
Tracking the existence of PAH in water resources around and away from Al-Ahdab Oil Field in Wasit Governorate of Iraq

Some major pollutants of polycyclic aromatic hydrocarbons (PAH) those discharged as water produced (WP) from the AlAhdab oil field (AOF) in the ponds close to it may leak to the water resources around and eventually reaches the marshes which will affect its ecosystem. Thus, this work aims to track the availability of PAH in the water resources and the Main Outfall Drain (MOD) nearby. The determination of PAH was evaluated using “High-Performance Liquid Chromatography (HPLC)”. The mean concentration of sixteen PAH in the produced water within the field was relatively high (0.01 to 10.89 g/ml) with standard deviations of (0.10.9). While, PAH outside the field were gradually diminishes down to (0.01-0.039) x10-2 g/ml which exceeds th

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Publication Date
Tue Nov 19 2024
Journal Name
Modern Sport
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Publication Date
Sun Dec 10 2017
Journal Name
Journal Of Pharmaceutical, Chemical And Biological Sciences
BRCA1 is Overexpressed in Breast Cancer Cell Lines and is Negatively Regulated by E2F6 in Normal but not Cancerous Breast Cells

This study focused on the expression and regulation of BRCA1 in breast cancer cell lines compared to normal breast. BRCA1 transcript levels were assessed by real time quantitative polymerase chain reaction (RT-qPCR) in the cancer cell lines. Our data show overexpression of BRCA1 mRNA level in all the studied breast cancer cell lines: MCF-7, T47D, MDA-MB-231 and MDA-MB-468 along with Jurkat, leukemia T-lymphocyte, the positive control, relative to normal breast tissue. To investigate whether a positive or negative correlation exists between BRCA1 and the transcription factor E2F6, three different si-RNA specific for E2F6 were used to transfect the normal and cancerous breast cell lines. Interestingly, strong negative relationship was found b

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Publication Date
Tue Nov 19 2024
Journal Name
Journal Of Physical Education
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Publication Date
Tue Nov 19 2024
Journal Name
Journal Of Physical Education
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Publication Date
Thu Nov 30 2023
Journal Name
Journal Of Language Studies
Investigating the Difference between the Conditionals (In) and (Itha) as Mentioned in the Holy Qur'an with Reference to Translation: Selected Verses

According to grammarians In ( نإ) and Itha (اذإ) are conditionals and sometimes they may be used interchangeably. However, when they are mentioned in the Holy Qur’an, they have their own specific use. This paper attempts to investigate their meanings in the source language as well as investigate their translations and find out any differences or similarities. The translations that are adopted in this research are as follows: Pickthall, Al-Hilali & Khan, and Shakir.

Publication Date
Fri Jun 30 2023
Journal Name
Iraqi Journal Of Science
Expression of Protamine-1 Gene and Association with Interleukin-12 gene in Infertile Men: A Case-Control Study in Iraqi Patients

     Approximately 15% of all couples all over the world suffer from difficulty conceiving their first child. The word "infertility" is used to describe this problem.

When a couple had  regular, unprotected sexual intercourse for a year or longer, it indicates that they have been unsuccessful in their efforts to conceive.

      The current investigation aims to find out if there is a relationship between PROTAMIN-1(PRM-1) and INTERLEUKINE-12 (IL-12) gene expressions and their effect on the development of infertility. The current investigation comprised 100 teratozoospermia patients and 100 healthy fertile controls who had their semen examined. Samples were given by Al-Nahrain University's Biotech

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