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A different approach for conformable fractional biochemical reaction–diffusion models

Applied Mathematics(A Journal of Chinese Universities) 2020年第4期35卷 452-467页

作者： anas arafa Department of Mathematics and Computer Science Faculty of SciencePort Said UniversityPort SaidEgypt

This paper attempts to shed light on three biochemical reaction-diffusion models:conformable fractional Brusselator,conformable fractional Schnakenberg,and conformable fractional *** is done using conformable residual power series(hence-form,CRPS)technique which has indeed,proved to be a useful tool for generating the ***,CRPS is an effective method of solving nonlinear fractional differential equations with greater accuracy and ease.

关键词： Brusselator model Schnakenberg model Gray-Scott model conformable fractional derivatives residual power series method

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Natural Transform for Solving Fractional Models

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Journal of Applied Mathematics and Physics 2015年第12期3卷 1633-1644页

作者： Ahmed Safwat Abdel-Rady Saad Zagloul Rida anas Ahmed Mohamed arafa Hamdy Ragab Abedl-Rahim Department of Mathematics Faculty of ScienceSouth Valley UniversityQenaEgypt Department of Mathematics and Computer Science Faculty of SciencePort Said UniversityPort SaidEgypt

In this paper, we present a novel technique to obtain approximate analytical solution of fractional physical models. The new technique is a combination of a domain decomposition method and natural transform method called a domain decomposition natural transform method (ADNTM). The fractional derivatives are considered in Caputo sense. To illustrate the power and reliability of the method some applications are provided.

关键词： Fractional Calculus Natural Transform A Domain Decomposition Natural Transform Method(ADNTM) Fokker-Planck Equation Schrodinger Equation Kelin-Gorden Equation

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On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium

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Applied Mathematics 2011年第12期2卷 1515-1521页

作者： Ahmed M. A. El-Sayed Saad Z. Rida anas A. M. arafa 不详

In this paper, the Adomian’s decomposition method has been developed to yield approximate solution of bacterial chemotaxis model of fractional order in a semi-solid medium. The fractional derivatives are described in the Caputo sense. The method introduces a promising tool for solving many linear and nonlinear fractional differential equations.

关键词： Decomposition Method Bacterial Chemotaxis Semi-Solid Medium Fractional Calculus

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Frozen Section in Postmenopausal Women Presented with Suspicious Ovarian Masses, Does It Have a Role?

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Journal of Cancer Therapy 2015年第14期6卷 1192-1195页

作者： Basel Refky anas Gamal Emad Hamed Adel Fathi Mohammad arafa Sameh Roshdy Khaled Gaballa Essam Attia Mohamed Abdelkhalek Mohamed T. Hafez Fayz Shahatto Shadi Awny Doaa Shokry Gehad Tawfik Surgical Oncology Unit Oncology Center Mansoura University Mansoura Egypt Gynecology Department Mansoura University Hospitals Mansoura Egypt Pathology Department Mansoura University Mansoura Egypt Public Health Department Mansoura Faculty of Medicine Mansoura Egypt Medical Intern Mansoura University Hospitals Mansoura Egypt

Background: Frozen section (FS) has a valuable role in the diagnosis of ovarian tumors. It is considered a pivotal point in guiding the surgical therapy, particularly in premenopausal women. In postmenopausal women, it may be required as well to avoid unnecessary surgical staging in benign ovarian tumors. Aim: This study aims to evaluate the accuracy of intraoperative frozen section in ovarian neoplasms in postmenopausal women. Materials and Methods: A retrospective analysis was done for intraoperative FS for suspected ovarian neoplasms. The study was conducted in Oncology Center, Mansoura University from March 2008 to December 2014. The frozen and paraffin section reports were compared, and overall accuracy, sensitivity, specificity, positive and negative predictive values were determined. Results: The study included 105 patients and the overall accuracy of FS in determining malignancy was 81.7%. The sensitivity for malignant tumors was 75.32% with specificity of 100%. For benign tumors, the sensitivity and specificity were 100% and 93%, respectively. Borderline tumors had the lowest sensitivity of 100% with specificity of 95.19%. Conclusion: The present study concurs that frozen section is an accurate test for diagnosis of benign and malignant tumors in postmenopausal women thus determining the extent of surgery done for them. On the other hand, accuracy rates for borderline tumors are low.

关键词： Frozen Section Ovarian Cancer Surgical Staging

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