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Latest Published Articles

A clinico-pathological study of colonic biopsies

TCMS-Vol. 2 (2022), Issue 4, pp. 8 – 11 Open Access Full-Text PDF
Alka Dixit Vats and Anubhav Garg

Abstract: Background: To assess clinico-pathological study of colonic biopsies.
Materials and methods: One hundred ten colonic biopsies obtained from Gastroenterology department were collected in 10% neutral buffered formalin processed and embedded with the mucosal surface being uppermost. 4\(\mu\) thick serial sections were prepared and stained with H&E. Detailed study of the sections was done under light microscope and diagnosis rendered accordingly.
Result: Age group 11-20 years had 8, 21-30 years had 22, 31-40 years had 40, 41-50 years had 24 and >50 years had 16 cases. The difference was non- significant (\(P> 0.05\)). Most common clinical features were constipation seen in 36, bleeding PR in 28, bleeding PR weakness in 17, diarrhea in 16 and diarrhea \(+\) pain abdomen \(+\) weakness in 14 patients. The difference was non-significant (\(P> 0.05\)). Non-neoplastic lesions were 74. These were as non-specific colitis in 22, ulcerative colitis in 16, acute inflammation in 14, hyperplastic polyp in 10, inflammatory polyp in 6, retention polyp in 4 and endometriosis in 2 cases. Neoplastic benign lesions were 25. Benign spindle cell lesion was in 3, tubular adenoma in 15, villous adenoma in 5 and tubulovillous adenoma in 2 cases. Neoplastic malignant lesions were well differentiated adenocarcinoma seen in 4, moderately differentiated adenocarcinoma in 6, poorly differentiated adenocarcinoma in 2 and signet ring cell carcinoma in 1 case.
Conclusion: Colonoscopy is a simple and a safe procedure. It helps in assessing the lesions clinically and confirming histopathologicaly through guided biopsy. Colonoscopic biopsies also play a key role not only in diagnosis, but also in follow up and treatment.

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Explicit formula for the \(n\)-th derivative of a quotient

OMA-Vol. 6 (2022), Issue 2, pp. 120 – 129 Open Access Full-Text PDF
Roudy El Haddad

Abstract:Leibniz’s rule for the \(n\)-th derivative of a product is a very well-known and extremely useful formula. This article introduces an analogous explicit formula for the \(n\)-th derivative of a quotient of two functions. Later, we use this formula to derive new partition identities and to develop expressions for some particular \(n\)-th derivatives.

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Global asymptotic stability of constant equilibrium point in attraction-repulsion chemotaxis model with logistic source term

OMA-Vol. 6 (2022), Issue 2, pp. 102 – 119 Open Access Full-Text PDF
Abdelhakam Hassan Mohammed and Ali. B. B. Almurad

Abstract:This paper deals with nonnegative solutions of the Neumann initial-boundary value problem for an attraction-repulsion chemotaxis model with logistic source term of Eq. (1) in bounded convex domains \(\Omega\subset\mathbb{R}^{n},~ n\geq1\), with smooth boundary. It is shown that if the ratio \(\frac{\mu}{\chi \alpha-\xi \gamma}\) is sufficiently large, then the unique nontrivial spatially homogeneous equilibrium given by \((u_{1},u_{2},u_{3})=(1,~\frac{\alpha}{\beta},~\frac{\gamma}{\eta})\) is globally asymptotically stable in the sense that for any choice of suitably regular nonnegative initial data \((u_{10},u_{20},u_{30})\) such that \(u_{10}\not\equiv0\), the above problem possesses uniquely determined global classical solution \((u_{1},u_{2},u_{3})\) with \((u_{1},u_{2},u_{3})|_{t=0}=(u_{10},u_{20},u_{30})\) which satisfies \(\left\|u_{1}(\cdot,t)-1\right\|_{L^{\infty}(\Omega)}\rightarrow{0},~~
\left\|u_{2}(\cdot,t)-\frac{\alpha}{\beta}\right\|_{L^{\infty}(\Omega)}\rightarrow{0},\left\|u_{3}(\cdot,t)-\frac{\gamma}{\eta}\right\|_{L^{\infty}(\Omega)}\rightarrow{0}\,,\) \(\mathrm{as}~t\rightarrow{\infty}\).

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Major bacteriological isolates and their antimicrobial susceptibility trends in ICU of a tertiary care hospital: A prospective observational study

TCMS-Vol. 2 (2022), Issue 4, pp. 1 – 7 Open Access Full-Text PDF
Kirti Ahuja, Prateek, Meena Singh, Anil Kumar Verma, Pranav Bansal and Sanjay.

Abstract:Bacterial bloodstream infections are important causes of morbidity and mortality, globally. The aim of the present study was to determine the bacterial profile of bloodstream infections and their antibiotic susceptibility pattern among the patients admitted to ICU at a tertiary care hospital.This prospective study was conducted over a period of eighteen months. Inclusion criteria comprised of patients admitted to ICU who belonged to either gender and were in the age group of 15-60 years. Over the course of study, 30 out of total 140 blood culture samples were identified to be culture positive (18 GNB and 11GPB). The most common Gram-positive isolate was Staphylococcus spp (26%) while Escherichia coli was the most common gram negative isolate (36%).Escherichia coli expressed highest resistance to all the drugs but sensitivity to Meropenemand Polymyxin B was 72% and 90%, respectively. High degree of resistance was noted to cephalosporins and piperacillin -tazobactam, among all the groups. The study indicated high level of antimicrobial resistance among Gram negative bacilli, esp E.Coli and justifies the need for antimicrobial stewardship to prevent development of further resistance.

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Forecasting the democratic republic of the Congo macroeconomic data with the Bayesian vector autoregressive models

OMA-Vol. 6 (2022), Issue 2, pp. 93 – 101 Open Access Full-Text PDF
Lewis N. K. Mambo, Victor G. Musa and Gabriel M. Kalonda

Abstract:The purpose of this paper is to emphasize the role of the Bayesian Vector Autoregressive models (VAR) in macroeconomic analysis and forecasting. To help the policy-makers to do better, the Bayesian VAR models are considered more robust and valuable because they put in the model the mathematician’s beliefs or priors and the data. By using BVAR(1), we get the main results: (i)the best out sample point forecasts; (ii) the exchange rate shock contributes more to inflation; (iii) the inflation shock has high effects on exchange rate innovation. These results are due to the dollarization of this small open economy.

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Estimation to the number of limit cycles for generalized Kukles differential system

OMA-Vol. 6 (2022), Issue 2, pp. 74 – 92 Open Access Full-Text PDF
Houdeifa Melki and Amar Makhlouf

Abstract:This article considers the limit cycles of a class of Kukles polynomial differential systems of the form Eq. (5). We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a linear center \(\dot{x}=y, \dot{y}=-x,\) by using the averaging theory of first and second order.

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BOOK-foundations-of-mathematical-analysis-and-semigroups-theory
BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC