A comparative study of tension band wire and circumferential wiring for patellar fractures
TCMS-Vol. 1 (2021), Issue 2, pp. 6 – 10 Open Access Full-Text PDF
Abraha Samuel, Ambaw Deressa, Hesham Greda
Abstract:Aim: To compare tension band wire and circumferential wiring for patellar fractures. Materials & Methods: One hundred twenty adult patients in age ranged 18- 50 years of either gender was randomly divided into groups viz. group 1 treated with tension band wire and group 2 with circumferential wiring for patellar fractures. Reich and Rosenberg scale, rage of motion and complications were recorded in both groups and compared. Results: At 4 weeks in group 1 and group 2, restriction of last \(10^{0}- 20^{0}\) was seen in 24 and 27, restriction of \(20^0-50^0\) was seen in 14 and 13, restriction \(>50^0\) was observed in 22 and 20. At 8 weeks, no restriction was seen in 8 and 9, restriction of last \(10^0- 20^0\) was seen in 38 and 39, restriction of \(20^0-50^0\) was seen in 10 and 9, restriction >500 was seen in 4 and 3. At 12 weeks, no restriction was seen in 15 and 20, restriction of last \(10^0- 20^0\) was seen in 35 and 32, restriction of \(20^0-50^0\) was seen in 8 and 7 and restriction \(>50^0\) was seen in 2 and 1 in group 1 and 2 patients respectively. A significant difference was observed (P< 0.05). Conclusion: Both techniques for the management of patellar fractures were equally effective in achieving functional outcome.
Topical triamcinolone acetonide, oral methotrexate, and a combination of topical triamcinolone acetonide and oral methotrexate in the management of oral lichen planus- A comparative study
TCMS-Vol. 1 (2021), Issue 2, pp. 1 – 5 Open Access Full-Text PDF
Raj Srivastava, Arjun Kapoor, Sachin Mehta, Amit Chauhan
Abstract:This paper aims to compare 0.1% topical triamcinolone acetonide, oral methotrexate, and a combination of 0.1% topical triamcinolone acetonide and oral methotrexate in the management of oral lichen planus. 60 histologically confirmed cases of oral lichen planus were divided into 3 groups. Group T was given 0.1% topical triamcinolone acetonide, group M was given topical methotrexate and group C was given combination of both 0.1% topical triamcinolone acetonide and oral methotrexate. Clinical severity score and VAS was compared. The mean CSS at baseline was 5.4 in group T, 4.2 in group M and 4.1 in group C and at 4 months was 2.6 in group T, 2.1 in group M and 0.82 in group C. Baseline VAS was 6.5 in group T, 6.2 in group M and 7.1 in group C and at 4 months was 2.5 in group T, 1.3 in group M and 0.25 in group C. Group T had 3.2 years, group M had 3.1 years and group C had 3.3 years of duration of symptoms. It is concluded that the combination of triamcinolone and methotrexate exhibited maximum relieve of symptoms in patients with oral lichen planus.
Well-posedness for a modified nonlinear Schrödinger equation modeling the formation of rogue waves
OMA-Vol. 5 (2021), Issue 1, pp. 105 – 117 Open Access Full-Text PDF
Curtis Holliman, Logan Hyslop
Abstract: The Cauchy problem for a higher order modification of the nonlinear Schrödinger equation (MNLS) on the line is shown to be well-posed in Sobolev spaces with exponent \(s > \frac{1}{4}\). This result is achieved by demonstrating that the associated integral operator is a contraction on a Bourgain space that has been adapted to the particular linear symbol present in the equation. The contraction is proved by using microlocal analysis and a trilinear estimate that is shown via the \([k; Z]\)-multiplier norm method developed by Terence Tao.
Characterization of orthogonality conditions in certain classes of normed spaces
OMA-Vol. 5 (2021), Issue 1, pp. 98 – 104 Open Access Full-Text PDF
W.L. Otae, N.B. Okelo, O. Ongati
Abstract: In this paper, we give characterizations of orthogonality conditions in certain classes of normed spaces. We first consider Range-Kernel orthogonality in norm-attainable classes then we characterize orthogonality conditions for Jordan elementary operators.
A study of the power-cosine copula
OMA-Vol. 5 (2021), Issue 1, pp. 85 – 97 Open Access Full-Text PDF
Christophe Chesneau
Abstract: Copulas played a key role in numerous areas of statistics over the last few decades. In this paper, we offer a new kind of trigonometric bivariate copula based on power and cosine functions. We present it via analytical and graphical approaches. We show that it may be used to create a new bivariate normal distribution with interesting shapes. Subsequently, the simplest version of the suggested copula is highlighted. We discuss some of its relationships with the Farlie-Gumbel-Morgensten and simple polynomial-sine copulas, establish that it is a member of a well-known semi-parametric family of copulas, investigate its dependence domains, and show that it has no tail dependence.
Modelling and simulation of a dynamic contact problem in thermo-piezoelectricity
EASL-Vol. 4 (2021), Issue 2, pp. 43 – 52 Open Access Full-Text PDF
Youssef Ouafik
Abstract: In this work, we numerically study a dynamic frictional contact problem between a thermo-piezoelectric body and a conductive foundation. The linear thermo-electro-elastic constitutive law is employed to model the thermo-piezoelectric material. The contact is modelled by the Signorini condition and the friction by the Coulomb law. A frictional heat generation and heat transfer across the contact surface are assumed. The heat exchange coefficient is assumed to depend on contact pressure. Hybrid formulation is introduced, it is a coupled system for the displacement field, the electric potential, the temperature and two Lagrange multipliers. The discrete scheme of the coupled system is introduced based on a finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivate. The thermo-mechanical contact is treated by using an augmented Lagrangian approach. A solution algorithm is discussed and implemented. Numerical simulation results are reported, illustrating the mechanical behavior related to the contact condition.
The incubation periods, the critical immunisation threshold and some other predictors of SARS-CoV-2 disease for different location and different climate countries
EASL-Vol. 4 (2021), Issue 2, pp. 36 – 42 Open Access Full-Text PDF
Marwan Al-Raeei
Abstract: We estimate the incubation period values and other forecasting predictors of SARS-CoV-2 for different countries located in different geographical locations of the earth and each one has a certain climate. The considered countries are the United States, Russia, the United Kingdom, Brazil, Spain, Bahrain, Egypt, Iran, Cyprus, India, France, and the Syrian Arab Republic. For estimating of the forecasting predictors values, we use the SEIR epidemic model and Runge-Kutta simulation method. The estimations are done up to the beginning of 2021 in aforementioned countries based on the collected data in these countries. We find that the incubation period values of SARS-CoV-2 are located between 2.5 days which returns to Bahrain and 10 days which returns to some countries in middle east. Also, we find that the average value of this period is about 6.5 days for the different location countries. Besides, we find that the average values of SARS-CoV-2 critical immunisation threshold, SARS-CoV-2 basic reproduction number and SARS-CoV-2 steady state population are 0.5, 2.3 and 0.5 respectively.
Possibility Pythagorean bipolar fuzzy soft sets and its application
ODAM-Vol. 4 (2021), Issue 2, pp. 17 – 29 Open Access Full-Text PDF
M. Palanikumar, K. Arulmozhi
Abstract: We interact the theory of possibility Pythagorean bipolar fuzzy soft sets, possibility bipolar fuzzy soft sets and define complementation, union, intersection, AND and OR. The possibility Pythagorean bipolar fuzzy soft sets are presented as a generalization of soft sets. Notably, we tend to showed De Morgan’s laws, associate laws and distributive laws that are holds in possibility Pythagorean bipolar fuzzy soft set theory. Also, we advocate an algorithm to solve the decision making problem primarily based on soft set model.
Nirmala energy
ODAM-Vol. 4 (2021), Issue 2, pp. 11 – 16 Open Access Full-Text PDF
Ivan Gutman, Veerabhadrappa R. Kulli
Abstract: A novel vertex-degree-based topological invariant, called Nirmala index, was recently put forward, defined as the sum of the terms \(\sqrt{d(u)+d(v)}\) over all edges \(uv\) of the underlying graph, where \(d(u)\) is the degree of the vertex \(u\). Based on this index, we now introduce the respective “Nirmala matrix”, and consider its spectrum and energy. An interesting finding is that some spectral properties of the Nirmala matrix, including its energy, are related to the first Zagreb index.
On generalization of extended Gegenbauer polynomials of two variables
OMA-Vol. 5 (2021), Issue 1, pp. 76 – 84 Open Access Full-Text PDF
Ahmed Ali Al-Gonah, Ahmed Ali Atash
Abstract: Recently, many extensions of some special functions are defined by using the extended Beta function. In this paper, we introduce a new generalization of extended Gegenbauer polynomials of two variables by using the extended Gamma function. Some properties of these generalized polynomials such as integral representation, recurrence relation and generating functions are obtained.