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Latest Published Articles

Equilibria in electrochemistry and maximal rates of reaction

OMS-Vol. 7 (2023), Issue 1, pp. 35 – 88 Open Access Full-Text PDF
Tristram de Piro

Abstract: We consider Gibbs’ definition of chemical equilibrium and connect it with dynamic equilibrium, in terms of no substance formed. We determine the activity coefficient as a function of temperature and pressure, in reactions with or without interaction of a solvent, incorporating the error terms from Raoult’s Law and Henry’s Law, if necessary. We compute the maximal reaction paths and apply the results to electrochemistry, using the Nernst equation.

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Sharp inequalities related to Wilker results

OMS-Vol. 7 (2023), Issue 1, pp. 19 – 34 Open Access Full-Text PDF
Abd Raouf Chouikha

Abstract: In this paper, we interested in Wilker inequalities. We provide finer bounds than known previous. Moreover, bounds are obtained for the following trigonometric function
\[g_n(x) = \left(\frac{\sin(x)}{x}\right)^2 \left( 1 – \frac{2\left(\frac{2 x}{\pi}\right)^{2n+2}}{1-(\frac{2x}{\pi})^2}\right) +\frac{\tan(x)}{x}, \ n\geq 0.\]

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An analytical method for finding exact solutions of a nonlinear partial differential equation arising in electrical engineering

OMS-Vol. 7 (2023), Issue 1, pp. 10 – 18 Open Access Full-Text PDF
Md. Nur Alam

Abstract: In this investigation, we aim to investigate the novel exact solutions of nonlinear partial differential equations (NLPDEs) arising in electrical engineering via the -expansion method. New acquired solutions are kink, particular kink, bright, dark, periodic combined-dark bright and combined-dark singular solitons, and hyperbolic functions solutions. The achieved distinct types of solitons solutions contain critical applications in engineering and physics. Numerous novel structures (3D, contour, and density plots) are also designed by taking the appropriate values of involved parameters. These solutions express the wave show of the governing models, actually.

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Generalized Euler’s \(\Phi_w\)-function and the divisor sum \(T_{k_w} \)-function of edge weighted graphs

OMS-Vol. 7 (2023), Issue 1, pp. 1 – 9 Open Access Full-Text PDF
Nechirvan Badal Ibrahim, Hariwan Fadhil M. Salih and Shadya Merkhan Mershkhan

Abstract:In this work, generalized Euler’s \(\Phi_w\)-function of edge weighted graphs is defined which consists of the sum of the Euler’s \(\varphi\)-function of the weight of edges of a graph and we denote it by \(\Phi_w(G)\) and the general form of Euler’s \(\Phi_w\)-function of some standard edge weighted graphs is determined. Also, we define the divisor sum \(T_{k_w}\)-function \(T_{k_w}(G)\) of the graph \(G\), which is counting the sum of the sum of the positive divisor \(\sigma_k\)-function for the weighted of edges of a graph \(G\). It is determined a relation between generalized Euler’s \(\Phi_w\)-function and generalized divisor sum \(T_{k_w}\)-function of edge weighted graphs.

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Clinical analysis of emergencies in the patients with Hypertension

TCMS-Vol. 3 (2023), Issue 1, pp. 23 – 27 Open Access Full-Text PDF
Dr. Pratik Mansukhlal Doshi, Dr. Harshil Mehta and Dr. Dharmendra M Gohil

Abstract:Background: Hypertension affects individuals of all classes and across all groups. The relationship between blood pressure and the risk of cardiovascular disease events is continuous and independent of other risk factors.
Aim and Objectives: The present study aimed to identify various modes of presentation and the clinical profile of hypertensive emergencies in our hospital.
Materials and Methods: Data were collected from 100 patients admitted to this hospital over a period of two years. Patients who presented with an elevated blood pressure of systolic blood pressure >180mmHg or diastolic blood pressure >110mmHg, with a history of acute target organ damage, or with laboratory evidence of acute target organ damage were included in the study.
Results: Of the 100 patients studied, 88 were known hypertensives, among whom 54 had discontinued their antihypertensives before the incident, while the remaining 46 patients continued their medication. Among the 100 patients, 28 had diabetes mellitus and 28 had dyslipidemias. Out of 100 patients with hypertensive emergencies, 12 died before discharge, resulting in a hospital mortality rate of 12%. All expired patients had intracerebral hemorrhage.
Conclusion: Known hypertensives are at a higher risk of presenting with acute target organ damage associated with hypertensive emergency. The presence of diabetes mellitus and dyslipidemia increases the chance of developing hypertensive emergencies.

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Integrated teaching using histopathology and clinical correlates to teach histology to medical students

TCMS-Vol. 3 (2023), Issue 1, pp. 17 – 22 Open Access Full-Text PDF
Ashfaq Ul Hassan, J.B. Singh, Neelofer Jan and Shomalla Jan

Abstract:In modern education, innovative techniques and updated technology are essential tools for effective teaching. As the medical field advances, new teaching methods and modalities are necessary to generate interest and provide practical learning experiences. Histology is a crucial component of medical education, and a thorough understanding of both the theory and slide recognition is necessary for medical students. This study aimed to investigate the intervention of Basic Pathology into Histology and its impact on First MBBS students’ response. The study involved 81 students from SKIMS Medical College in the Department of Anatomy and Pathology, who were administered a questionnaire. The results showed that students appreciated the integration of pathological perspectives with normal histology and found the combined approach useful and relevant. The study highlights the importance of practical teaching methods and the need for continuous improvement in teaching and assessment methods in medical education.

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BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC