Exact solutions of paraxial wave dynamical model with Kerr law non-linearity using analytical techniques

OMS-Vol. 7 (2023), Issue 1, pp. 172 – 179 Open Access Full-Text PDF
Naeem Ullah

Abstract: Using the Kudryashov and Tanh methods, we have obtained novel exact solutions for the Paraxial Wave Dynamical Equation with Kerr law, including various types of wave solutions. These distinct types of wave solutions have important applications in physics and engineering, and their physical characteristics are well defined. These outcomes are a substantial innovation in the study of water waves in mathematical physics and engineering phenomena. The results we have acquired demonstrate the power and effectiveness of the present techniques.

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Effects of thermal dispersion on transient free convective flow in vertical porous channel filled with porous material

OMS-Vol. 7 (2023), Issue 1, pp. 160 – 171 Open Access Full-Text PDF
Babatunde Aina and Basant K. Jha

Abstract: In this work, the effect of suction/injection on transient free convective flow in vertical porous (suction/injection on the channel surfaces) channel filled with porous material in the presence of thermal dispersion was studied. The Boussinesq assumption is applied and the nonlinear governing equations of motion and energy are developed. The time dependent problem is solved using implicit finite difference method while steady state problem is solved by perturbation technique method. The solution obtained is graphically represented and the effects of suction/injection, time, Darcy number, thermal dispersion, and Prandtl number on the fluid flow and heat transfer characteristics. During the course of computation, an excellent agreement was found between the well-known steady state solutions sand transient solutions at large value of time. Furthermore, the time required to reach steady state velocity and temperature field strongly dependent on suction/injection parameter, Prandtl number and thermal dispersion parameter. The introduction of suction/injection has distorted the symmetric nature of the flow formation.

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Vector bundles associated to monads on cartesian products of projective spaces

OMS-Vol. 7 (2023), Issue 1, pp. 148 – 159 Open Access Full-Text PDF
Damian M Maingi

Abstract: In this paper we establish the existence of monads on cartesian products of projective spaces. We give the necessary and sufficient conditions for the existence of monads on \(\mathbf{P}^1\times\cdots\times \mathbf{P}^1\). We construct vector bundles associated to monads on \(X=\mathbf{P}^n\times\mathbf{P}^n\times\mathbf{P}^m\times\mathbf{P}^m\). We study these vector bundles associated to monads on \(X\) and prove their stability and simplicity.

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New Simpson’s type inequalities via \((\alpha_1, m_1)\) -\((\alpha_2, m_2)\)- preinvexity on the coordinates in both the first and second sense

OMS-Vol. 7 (2023), Issue 1, pp. 135 – 147 Open Access Full-Text PDF
Seth Kermausuor

Abstract: In this paper, we established a new integral identity for twice partially differentiable functions. As a consequence, we established some new Simpson’s type integral inequalities for functions of two independent variables whose mixed partial derivative is bounded and \((\alpha_1, m_1)-(\alpha_2, m_2)\)-preinvex on the coordinates in both the first and second sense.

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Values of zeta-one functions at positive even integers

OMS-Vol. 7 (2023), Issue 1, pp. 127 – 134 Open Access Full-Text PDF
Masato Kobayashi and Shunji Sasaki

Abstract: Motivated by Euler-Goldbach and Shallit-Zikan theorems, we introduce zeta-one functions with infinite sums of $n^{s}\pm1$ as an analogy of the Riemann zeta function. Then we compute values of these functions at positive even integers by the residue theorem.

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Some new results on soft quasilinear spaces

OMS-Vol. 7 (2023), Issue 1, pp. 118 – 126 Open Access Full-Text PDF
M. ¸Sirin Gönci and Hacer Bozkurt

Abstract: In this article, we focus on developing new results regarding normed quasilinear spaces. We provide a definition for soft homogenized quasilinear spaces and obtain some related results. Furthermore, we explore the floor of soft normed quasilinear spaces. Using some soft linearity and soft quasilinearity methods, we derive new results and examples. Finally, we also obtain some new consequences that we believe will facilitate the development of quasilinear functional analysis in a soft inner product quasilinear space.

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Assessment of quality of life (QoL) among human immunodeficiency virus positive/acquired immuno deficiency syndrome patients: A cross sectional study at antiretroviral therapy center at Gwalior Madhya Pradesh, India

TCMS-Vol. 3 (2023), Issue 1, pp. 77 – 87 Open Access Full-Text PDF
Anil K Agarwal, Tinku Verma, Vinod K Shakya, RamNiwas Mahore and Suchismita Datta

Abstract:Context: HIV/AIDS is known to affect an individual not only physically but also mentally, socially, and financially. It is a syndrome that builds a vacuum in a person affecting his/her life as a whole. Quality of life (QOL) of human immunodeficiency virus/acquired immuno deficiency syndrome (HIV/AIDS) patients has emerged as a significant medical outcome measure in recent times.
Aims: The purpose of the present observational study is to evaluate the quality of life (QOL) of people living with HIV/AIDS (PLHIV) receiving ART and its association with different social and clinical variables.
Materials and Methods: 140 patients of \(\geq\)18 years with HIV attending the tertiary level ante-retroviral treatment (ART) center were interviewed with using a validated standard version of the World Health Organization QOL (WHO-QOL BREF). Data on sociodemographic and clinical profile e.g., BMI, and CD4 were gathered. Mean scores were calculated in each domain. Descriptive statistics, independent t test, ANOVA and logistic regression were done to analyze the results.
Results: The overall QOL score of the subjects was moderate; Mean quality of life score was highest in the environmental domain (Mean=13.2\(\pm\)4.2). PLHIV with lower BMI also had poorer QOL (P<0.05). Employment significantly affected the social health domain and psychological domains of the subjects. Men reported poorer level of independence and physical health while women reported poorer social relationships and environment. All the six domains correlated significantly with the overall QOL indicated by the G-facet.
Conclusion: Attention toward improving the social status by enhancing sociopsychological supports such as social sensitization, mental health care of patients, and interventions to reduce stigma of PLHIV should be accorded with high priority to ensure improvement in the overall QOL of PLHIV.

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Cheiloscopic pattern in relation to gender and blood groups: A cross sectional study

TCMS-Vol. 3 (2023), Issue 1, pp. 67 – 76 Open Access Full-Text PDF
Alpana Talukdar, Pinky Goswami, Indrani Barman and Partha Pratim Talukdar

Abstract:Introduction: Cheiloscopy is the study of furrows and grooves present on the red part, or the vermilion border of the human lips. The type of grooves is unique to an individual and can be used for person identification.
Aim: The aim of this study is to ascertain whether the uniqueness of lip print (LP) can help in identifying a person. In addition, we aimed to evaluate whether there is any correlation between LP types and blood groups.
Materials and Methods: A cross-sectional study was conducted on 100 participants (51 males and 49 females), aged between 18 and 50 years, to determine any correlation between LP types and blood groups. These lip patterns were analyzed and interpreted using Tsuchihashi’s classification, and later, associated blood group matching was performed to determine the predominant LP type with the ABO and Rh blood grouping system.
Results: The present study showed a positive correlation between LP pattern and blood group among males and females. Thus, the distribution of LP patterns and ABO blood groups might help in the identification of an individual.
Conclusion: Since LP and blood group are unique to a person, cheiloscopy, along with blood group, can play a vital role in person identification.

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Evaluation of C-reactive protein/albumin ratio as an early warning parameter in critical COVID-19 cases

TCMS-Vol. 3 (2023), Issue 1, pp. 62 – 66 Open Access Full-Text PDF
Ebru Aladag and Eyüp Aydogan

Abstract:Introduction: In 2019, a new coronavirus disease spread throughout the world from the city of Wuhan, China. COVID-19 is divided into four groups according to clinical symptoms and disease severity: mild, moderate, severe, and critical. Budgeted rates of CRP and albumin utilization will be used to estimate the incidence of COVID-19 cases. Based on this data, the aim of this study is to evaluate the diagnostic power of the C-reactive protein to albumin ratio in the early differentiation of severe hospitalized cases of COVID-19.
Materials and Methods: During hospitalization, cases will be classified as mild, moderate, severe, and critical according to the WHO interim guidance. The mild and moderate subgroups will be classified as non-severe (group 1), and the severe and critical subgroups will be classified as severe (group 2). Demographic data, morbidity, and mortality rates will be recorded.
Results: The exitus rates and length of hospital stay were significantly higher in group 2.
Conclusions: The C-reactive protein/albumin ratio has predictive value in severe COVID-19 patients who are candidates for ICU admission or endotracheal intubation. However, it is thought that supporting this data with a larger number of patients and multicenter studies would increase the value of the data.

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Mucocutaneous manifestations among patients with HIV infection: A hospital based study from east India

TCMS-Vol. 3 (2023), Issue 1, pp. 56 – 61 Open Access Full-Text PDF
Utkal Naik, Subodha Kumar Patjoshi, Chitrasen Baskey and Rajiv Kumar Nanda

Abstract:Background: Mucocutaneous lesions are the most prevalent sign of HIV infection and serve as the first clue that HIV is present. They are important indications of a patient’s immunological health, and HIV-infected patients typically experience more severe, unusual, and extensive symptoms.
Objectives: To investigate the prevalence and spectrum of mucocutaneous manifestations in patients with HIV infection, and to determine the relationship between these manifestations and CD4 cell counts as an indicator of immunological health.
Materials and Methods: The study was conducted at a tertiary care Medical College and Hospital in Cuttack. Patients were enrolled from two centers, the Dermatology outdoor and Anti Retro Viral Therapy Centre, within the hospital. The mucocutaneous manifestations were classified, and CD4 cell counts were determined through collected samples to assess their immune status.
Results: The most common disorders were fungal infections (18%), followed by oral lesions (15.5%), and Papulosquamous disorder (14.8%). Out of 150 patients, 53 patients had 165 dermatological manifestations with a CD4 count below 200 cells/\(mm^3\), 85 patients had 105 dermatological manifestations with a CD4 count between 200-500 cells/\(mm^3\), and 12 patients had 14 dermatological manifestations with a CD4 count of more than 500 cells/\(mm^3\).
Conclusion: Both CD4 count and mucocutaneous manifestations can be used as markers of immunosuppression in HIV/AIDS patients. In resource-poor countries where CD4 count and other expensive markers are not affordable, mucocutaneous manifestations alone can be used as a marker of immunosuppression.

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