Design, synthesis of spiro quinazolinone compacted with chitosan through DFT approach for interference the antimicrobial activity

OJC-Vol. 2 (2019), Issue 2, pp. 33 – 42 Open Access Full-Text PDF
Eman Abdel-Nasser, Jehan A. Hafez, Radwa M. Badawy, Hadeer I. Mohamed, Sameh A. Rizk
Abstract: In this work, we present a newly three antimicrobial chitosan, 2-benzoxazinyl benzoic acid (BBA) and novel biopolymer of Chitosan-spiroquinazolinone (SQC) via coupling of chitosan with benzoxazinyl benzoic acid, for promoting the antimicrobial activity of inherent chitosan. Modification in the chemical structure of the synthesized product SQC was confirmed using FT-IR and UV analysis. The antimicrobial activities of Chitosan, and BBA compounds were expressively increased more than chitosan-spiroquinazolinone SQC. Minimum inhibitory concentration (MIC) of compound SQC was supposed at \(50\mu g/ml\) against tested microorganisms except for B.cereus and C.albicans. The highest concentration of Chitosan would prevent the growth of Gram-+ve upto 99%. However, compound BBA recorded the maximum inhibition percentage versus Gram-+ve approximately 82%. The findings emphasized that the developed Chitosan-Spiroquinazolinone SQC may be blocker for antimicrobial activity to pure chitosan and BBA i.e, stop reaction if possible for actions of antimicrobial treatments.
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Correlation between genotype and phenotype in adult primary open angle Glaucoma and mutations in myoc gene

OJC-Vol. 2 (2019), Issue 2, pp. 22 – 32 Open Access Full-Text PDF
Rabia Mushtaq, Rasheeda Bashir, Haniya Kalsoom, Shagufta Naz, Sadaf Naz, Maria Hasnain
Abstract: Glaucoma is a second leading cause of blindness worldwide and stands on fourth position among the cause of blindness. Two main types of Glaucoma, primary congenital Glaucoma (PCG) and primary open angle Glaucoma (POAG). Primary open angle Glaucoma is further classified in to primary juvenile open angle Glaucoma JOAG (age of onset 3-35 years) and adult onset open angle Glaucoma (after the age of 35 years). Myocilin (MYOC) gene plays a major role in the development of adult primary open angle Glaucoma (POAG). Mutations in Myocilin (MYOC) gene are well documented to cause Adult Primary Open Angle Glaucoma (POAG). Currently, very few data is available on the contribution of Myocilin (MYOC) gene in POAG in Pakistani population. In present study, fifty seven sporadic cases of autosomal recessive samples of Primary Open Angle Glaucoma (POAG) were collected from different hospitals of Lahore, Pakistan. Sequencing was performed to check the contribution of (MYOC) gene and to identify the common mutations present in Pakistani population. Sequencing results revealed previously reported one heterozygous synonymous single nucleotide polymorphism SNP and a variant in intronic exonic boundary of exon 2. Findings of this study revealed that contribution of (MYOC) gene is high. Therefore, there is need to enroll more patients and families to identify the pathogenic mutations in (MYOC) gene to report actual frequency of this gene and its mutations in our population. Mutations identified in this gene may be helpful at clinical level to diagnose the disease at early stages.
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The stability analysis and control transmission of mathematical model for Ebola Virus

OMA-Vol. 3 (2019), Issue 2, pp. 91 – 102 Open Access Full-Text PDF
Muhammad Tahir, Gul Zaman, Syed Inayat Ali Shah, Sher Muhammad, Syed Asif Hussain, Mohammad Ishaq
Abstract: Mathematical modeling of infectious diseases has progressed dramatically over the past four decades and continues to flourish at the nexus of mathematics, epidemiology, and infectious diseases research. Now recognized as a valuable tool, mathematical models are being integrated into the public health decision-making process more than ever before. In this article, a mathematical model of Ebola virus which is named as SEIVR (susceptible, exposed, infected, vaccinated, recovered) model is considered. First, we formulate the model and present the basic properties of the proposed model. Then, basic reproductive number is obtained by using the next-generation matrix approach. Furthermore, the sensitivity analysis of \(R_0\) is also discussed, all the endemic equilibrium points related to the disease are derived, a condition to investigate all possible equilibria of the model in terms of the basic reproduction number is obtained. In last, numerical simulation is presented with and without vaccination or control for the proposed model.
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On the vector Fourier multipliers for compact groups

OMS-Vol. 3 (2019), Issue 1, pp. 433 – 439 Open Access Full-Text PDF
Abudulaï Issa, Yaogan Mensah
Abstract: This paper studies some properties of the Fourier multiplier operators on a compact group when the underlying multiplication functions (the symbols) defined on the dual object take values in a Banach algebra. More precisely, boundedness properties for such Fourier multiplier operators for the space of Bochner strong integrable functions and for the (vector) \(p\)-Fourier spaces are investigated.
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Analysis of the dynamics of avian influenza A(H7N9) epidemic model with re-infection

OMS-Vol. 3 (2019), Issue 1, pp. 417 – 432 Open Access Full-Text PDF
Abayomi Samuel OKE, Oluwafemi Isaac BADA
Abstract: Since the emergence of the avian influenza A(H7N9) in the year 2013 in China, several researches have been carried out to investigate the spread. In this paper, a mathematical model describing the transmission dynamics of avian influenza A(H7N9) between human and poultry proposed by Li et al. [1] is modified by introducing re-infections into the susceptible human compartment. The method of next generation matrix is used to calculate the reproduction number. We also establish the local and global stability of the equilibria using Lyapunov functions. Finally, we use numerical simulations to validate our results.
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On chromatic polynomial of certain families of dendrimer graphs

OMS-Vol. 3 (2019), Issue 1, pp. 404 – 416 Open Access Full-Text PDF
Aqsa Shah, Syed Ahtsham Ul Haq Bokhary
Abstract: Let \(G\) be a simple graph with vertex set \(V(G)\) and edge set \(E(G)\). A mapping \(g:V (G)\rightarrow\{1,2,…t\}\) is called \(t\)-coloring if for every edge \(e = (u, v)\), we have \(g(u) \neq g(v)\). The chromatic number of the graph \(G\) is the minimum number of colors that are required to properly color the graph. The chromatic polynomial of the graph \(G\), denoted by \(P(G, t)\) is the number of all possible proper coloring of \(G\). Dendrimers are hyper-branched macromolecules, with a rigorously tailored architecture. They can be synthesized in a controlled manner either by a divergent or a convergent procedure. Dendrimers have gained a wide range of applications in supra-molecular chemistry, particularly in host guest reactions and self-assembly processes. Their applications in chemistry, biology and nano-science are unlimited. In this paper, the chromatic polynomials for certain families of dendrimer nanostars have been computed.
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A series solution for melting heat transfer characteristics of hybrid Casson fluid under thermal radiation

EASL-Vol. 2 (2019), Issue 4, pp. 21 – 32 Open Access Full-Text PDF
Emran Khoshrouye Ghiasi, Reza Saleh
Abstract: In the present paper, we focus on the melting heat transfer characteristics of Casson fluid involving thermal radiation and viscous dissipation. To this end, the governing partial differential equations (PDEs) are transformed into the ordinary differential equations (ODEs) via the similarity variables. Besides establishing a homotopy-based methodology and its optimization performed in MATHEMATICA package BVPh2.0, the present findings are compared and validated by those available results in the literature. It can be shown that regardless of the variable fluid properties, this methodology predicts the heat transfer rate with and without melting effect at any Prandtl number. Furthermore, it is seen that the velocity distribution is significantly affected by the melting parameter.
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An extension of Petrović’s inequality for \(h-\)convex (\(h-\)concave) functions in plane

OMS-Vol. 3 (2019), Issue 1, pp. 398 – 403 Open Access Full-Text PDF
Wasim Iqbal, Khalid Mahmood Awan, Atiq Ur Rehman, Ghulam Farid
Abstract: In this paper, Petrović’s inequality is generalized for \(h-\)convex functions on coordinates with the condition that \(h\) is supermultiplicative. In the case, when \(h\) is submultiplicative, Petrović’s inequality is generalized for \(h-\)concave functions. Also particular cases for \(P-\)function, Godunova-Levin functions, \(s-\)Godunova-Levin functions and \(s-\)convex functions has been discussed.
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On smarandachely adjacent vertex total coloring of subcubic graphs

OMS-Vol. 3 (2019), Issue 1, pp. 390 – 397 Open Access Full-Text PDF
Enqiang Zhu, Chanjuan Liu
Abstract: Inspired by the observation that adjacent vertices need possess their own characteristics in terms of total coloring, we study the smarandachely adjacent vertex total coloring (abbreviated as SAVTC) of a graph \(G\), which is a proper total coloring of \(G\) such that for every vertex \(u\) and its every neighbor \(v\), the color-set of \(u\) contains a color not in the color-set of \(v\), where the color-set of a vertex is the set of colors appearing at the vertex or its incident edges. The minimum number of colors required for an SAVTC is denoted by \(\chi_{sat}(G)\). Compared with total coloring, SAVTC would be more likely to be developed for potential applications in practice. For any graph \(G\), it is clear that \(\chi_{sat}(G)\geq \Delta(G)+2\), where \(\Delta(G)\) is the maximum degree of \(G\). We, in this work, analyze this parameter for general subcubic graphs. We prove that \(\chi_{sat}(G)\leq 6\) for every subcubic graph \(G\). Especially, if \(G\) is an outerplanar or claw-free subcubic graph, then \(\chi_{sat}(G)=5\).
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On oscillatory second-order nonlinear delay differential equations of neutral type

OMS-Vol. 3 (2019), Issue 1, pp. 382 – 389 Open Access Full-Text PDF
Sandra Pinelas, Shyam Sundar Santra
Abstract: In this paper, new sufficient conditions are obtained for oscillation of second-order neutral delay differential equations of the form \(\frac{d}{dt} \Biggl[r(t) \frac{d}{dt} \biggl [x(t)+p(t)x(t-\tau)\biggr]\Biggr]+q(t)G\bigl(x(t-\sigma_1)\bigr)+v(t)H\bigl(x(t-\sigma_2)\bigr)=0, \;\; t \geq t_0,\) under the assumptions \(\int_{0}^{\infty}\frac{d\eta}{r(\eta)}=\infty\) and \(\int_{0}^{\infty}\frac{d\eta}{r(\eta)}<\infty\) for \(|p(t)|<+\infty\). Two illustrative examples are included.
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