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Spectrum behavior for the nonlinear fractional point reactor kinetics model

Nuclear Science and Techniques 2018年第1期29卷 96-109页

作者： Ahmed E.Aboanber abdallah a.nahla A.A.Hemeda Department of Mathematics Faculty of Science Tanta University

The nonlinear fractional point reactor kinetics equation in the presence of Newtonian temperature reactivity feedback with a multi-group of delayed neutrons,which describes the spectrum behavior of neutron density into the homogenous nuclear reactors, is developed. This system is one of the most important stiff coupled nonlinear fractional differentials for nuclear reactor dynamics. The generalization of Taylor's formula that involves Caputo fractional derivatives is developed in an attempt to overcome the difficulty of the stiffness of the nonlinear fractional differential model. Moreover, the general fractional derivatives are calculated analytically throughout this work. Furthermore, the local and global estimated errors were analyzed, which suggest that the error quantification should take into account the possible grow in time of the error. This observation provides a motivation for going beyond more classical local-in-time concepts of error(local truncation error). The neutron density response with time is analyzed for the anomalous diffusion, sub-diffusion, and super-diffusion processes.

关键词： Nonlinear fractional Generalized Taylor’s formula Point kinetics Multi-group delayed neutrons Temperature feedback reactivity

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Developed mathematical technique for fractional stochastic point kinetics model in nuclear reactor dynamics

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Nuclear Science and Techniques 2018年第9期29卷 197-213页

作者： Ahmed E.Aboanber abdallah a.nahla Adel M.Edress Department of Mathematics Faculty of Science Taibah University Department of Mathematics Faculty of Science Tanta University

Fractional stochastic kinetics equations have proven to be valuable tools for the point reactor kinetics model, where the nuclear reactions are not fully described by deterministic relations. A fractional stochastic model for the point kinetics system with multi-group of precursors,including the effect of temperature feedback, has been developed and analyzed. A major mathematical and inflexible scheme to the point kinetics model is obtained by merging the fractional and stochastic technique. A novel split-step method including mathematical tools of the Laplace transforms, Mittage–Leffler function, eigenvalues of the coefficient matrix, and its corresponding eigenvectors have been used for the fractional stochastic matrix differential equation. The validity of the proposed technique has been demonstrated via calculations of the mean and standard deviation of neutrons and precursor populations for various reactivities: step, ramp, sinusoidal, and temperature reactivity feedback. The results of the proposed method agree well with the conventional one of the deterministic point kinetics equations.

关键词： Ito stochastic point kinetics equations Temperature feedback effects Wiener process Fractional calculus Mittage–Leffler function

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Relation Ship of Maternal Haemoglobin Concentration Measured in Labour with Neonatal Outcome among Sudanese Women

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Open Journal of Obstetrics and Gynecology 2021年第2期11卷 131-139页

作者： Nada Elamin abdallah Badi Hassabelrasol Ata Almoula.nahla Idris Abdalla Idris Yassir Hamadalnil Siddig Omer M. Handady Omdurman Maternity Hospital Khartoum Sudan Suliman Alhabib Hospital Riyadh Saudi Arabia Faculty of Medicine Nile University Khartoum Sudan Faculty of Medicine Omdurman Ahlia University Khartoum Sudan

Objective: Data showed that maternal anaemia during pregnancy negatively affects maternal/fetal outcomes. We here attempted to re-confirm this in this specific region of Sudan, with special reference to fetal/neonatal outcome. Methodology: This cross-sectional observational study was carried out at Omdurman Maternity and Khartoum North Teaching Hospitals-Sudan from March 2018 to March 2019, with 246 pregnant women presented in labour enrolled. Maternal characteristics, haemoglobin (Hb) measured after labour initiation and fetal/neonatal outcomes were analyzed. Results: When maternal anemia was defined as Hb less than 10.0 g/dL, 80 (32.5%) had anemia and 166 had not. Anemic women (Hb;8.3 ± 0.31), compared with non-anemic women (Hb;11.4 ± 0.61), were significantly more likely to have low birth weight (LBW) infants (40% vs. 15.7%) and still birth (12.5% vs. 4.8%). There was a correlation between hemoglobin concentration and the followings: LBW, respiratory distress syndrome, neonatal nursery admission, still birth, early neonatal death, and low Apgar score. Conclusions: Maternal aneamia negatively affected fetal/neonatal outcomes. This data may be useful to make health policy in this area.

关键词： Maternal Hemoglobin Pregnancy Neonatal Outcome Birth Weight Apgar Score Sudanese Women

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Effect of Diabetes Self-Management Education on Glycaemic Control in Sudanese Adults with Type 2 Diabetes

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Journal of Biosciences and Medicines 2024年第3期12卷 316-327页

作者： Sahar Moawia Balla Elnour Tayseer Abdelmotalib Ahmed Taha Haiam Abdalla Wadatalla Ziryab Zainelabdin Mohamed Elmahdi Marwah Isam Abdulmajeed Mohammedahmed Rowa Abdelmonem Sidig Hamadto nahla Yousif Osman Mohammed Saeed Omnia Mubarak Saad abdallah Sulafa Abdelbagi Mustafa Ahmed Hanady Abdelhameed Ahmed Mohamed Sarah Khalil Fathi Khalil Family Medicine Health Gates Primary Care Riyadh SAU Family Medicine Dhaman Health Assurance Hospitals Company Kuwait KWT Family Medicine First Health Cluster Riyadh SAU Emergency Department Sheikh Khalifa Medical City Abudahbi ARE Family Medicine University of Medical Sciences and Technology Khartoum SDN Family Medicine Sudan Medical Specialization Board-Sudan Khartoum SDN Family Medicine Ultra Care Home Care Company Riyadh SAU Medicine Department Health Gates Primary Care Riyadh SAU Family Medicine Mouwasat Hospital Madinah SAU

Research Background: The high prevalence of diabetes in Sudan, estimated at 16%, highlights the importance of effective health education in diabetes management. Diabetes self-management education has been identified as a crucial tool in enhancing the knowledge, attitudes, and abilities necessary for self-management among individuals with diabetes. Aim: To assess the impact of diabetes self-management education on medication adherence and glycemic control in Sudanese adults with type 2 diabetes before and 3 months after the DSME intervention. Method: The study was conducted in Sudan between September 2022 and March 2023, it was an interventional, one-group, pre- and post-test study that aimed to assess the impact of diabetes self-management education (DSME) on medication adherence and diabetes control in Sudanese adults with type 2 diabetes. The research was conducted in primary health care centers in six cities in Sudan and involved 244 participants. The data entry and statistical analysis were conducted using the Statistical Package for Social Sciences version 27.0. A paired t test was used for analysis. Results: The study included 244 participants, 67% of whom were males. The age mean ± SD was 48.6 ± 9.3 years, and 85.3% of participants were married. Age at onset of diabetes mean ± SD was 40.60 ± 7.81 years;44.6% had diabetes for less than 5 years;and 84.1% had a positive family history of diabetes mellitus. The levels of poor, low, and partial adherence to medication decreased by 8.2%, 4%, and 20.6%, respectively, after the intervention. The levels of good and high medication regime adherence increased by 13% and 19.8%, respectively;BMI decreased by 1.1 ± 0.73 kg/m2 (p = 0.005). The fasting blood sugar decreased by 69 ± 32.9 mg/dl (p = 0.049), and the glycated hemoglobin decreased by 1.21 ± 0.28% (p = 0.001). Conclusions: The findings of this study reinforce the importance of patient education in improving glycemic control and enhancing self-management

关键词： Sudan Adherence Intervention Education Self-Management Diabetes

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