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Ptolemy Scientific Research Press (PSR Press) is a highly regarded publisher of scientific literature dedicated to bringing the latest research and findings to a broader audience. With a focus on cutting-edge research and technology, Ptolemy Scientific Research Press offers a range of publications catering to professionals, researchers, and student’s needs. Whether looking for information on the latest breakthroughs in physics, biology, engineering, or computer science, you can trust Ptolemy Scientific Research Press to deliver insightful, accurate, and engaging content. With its commitment to quality, accessibility, and innovation, Ptolemy Scientific Research Press is an essential resource for anyone interested in science and technology.

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Our Journals

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Latest in Press

Author(s): Tristram de Piro 1
1Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter (550), Woodstock Road, Oxford, OX2 6GG, England.
Abstract:

We prove that if the frame \(S\) is decaying surface non-radiating, in the sense of Definition 1, then if \(\left(\rho,\overline{J}\right)\) is analytic, either \(\rho=0\) and \(\overline{J}=\overline{0}\), or \(S\) is non-radiating, in the sense of [1]. In particularly, by the result there, the charge and current satisfy certain wave equations in all the frames \(S_{\overline{v}}\) connected to \(S\) by a real velocity vector \(\overline{v}\), with \(|\overline{v}|<c\).

Author(s): Johan Kok1
1Independent Mathematics Researcher, City of Tshwane, South Africa & Visiting Faculty at CHRIST (Deemed to be a University), Bangalore, India.
Abstract:

This note establishes the induced vertex stress, total induced vertex stress, vertex stress and total vertex stress of the generalized Johnson graphs of diameter \(2\). The note serves as the foundation to establish the same parameters for generalized Johnson graphs of diameter greater than or equal to \(3\).

Author(s): Ivan Gutman1
1Faculty of Science, University of Kragujevac, Kragujevac, Serbia.
Abstract:

The Sombor index (\(SO\)) is a vertex-degree-based graph invariant, defined as the sum over all pairs of adjacent vertices of \(\sqrt{d_i^2+d_j^2}\), where \(d_i\) is the degree of the \(i\)-th vertex. It has been conceived using geometric considerations. Numerous researches of \(SO\) that followed, ignored its geometric origin. We now show that geometry-based reasonings reveal the geometric background of several classical topological indices (Zagreb, Albertson) and lead to a series of new \(SO\)-like degree-based graph invariants.

Author(s): Joseph Maalouli MD1, Patricia Nehme MD1, Marie Merheb MD2, Elie Gharios MD3
1Instructor of Anesthesiology, Mount Lebanon Hospital-Balamand University Medical Center, Lebanon.
2Assistant Medical Director for Clinical Affairs at Mount Lebanon Hospital-Balamand University Medical Center, Lebanon.
3Medical Director at Mount Lebanon Hospital-Balamand University Medical Center, Lebanon.
Abstract:

Background and objectives: Postoperative nausea and vomiting (PONV) are still one of the most common and unpleasant side effects following surgeries under general anesthesia, especially in patients receiving opioids. The primary purpose of this study was to compare Zofran and oxycodone versus Zofran and morphine for the prevention of postoperative nausea and vomiting.
Subjects and methods: A prospective, monocentric clinical trial study was conducted at Mount Lebanon Hospital (MLH) between November 2018 and November 2021. After getting approval from the ethical committee, 237 patients were enrolled on a ratio of 1 to 2 in two groups: the first receiving Oxycodone 5 mg IVP with Zofran 4 mg IVD and the second receiving Morphine 5 mg IVP with Zofran 4mg IVD. Pearson’s Chi-square test and Fisher’s exact test were used to checking for the groups’ differences.
Results: Morphine and Oxycodone had a similar analgesic effect. The use of Zofran lowered PONV incidence rates in both groups. A statistically significant (p-value = 0.047) lower nausea and vomiting incidence in the Morphine group (2.5%) was noted compared to the Oxycodone group (8.8\% incidence). Only 10% of Oxycodone group patients and 8.9% of Morphine group patients had moderate nausea and vomiting, and none of the group’s patients had severe nausea and vomiting. Surgery duration, gender, age, smoking, BMI, pain level, and treatment group were not statistically associated with the severity of NV.
Conclusion: With the same analgesic effect, Zofran injection seemed to lower PONV incidence in both groups, even though the Morphine group had a lower incidence. Zofran seemed effective in lowering the NV severity as well. Therefore, recommending the systematic administration of antiemetic agents in patients receiving Oxycodone or Morphine could enhance patient satisfaction.

Author(s): Akbarova Munisa Abduxalilovna1, Sarvar Akbarov Alisherovich2
1Faculty of Medical and Pedagogical Affairs, Tashkent Pediatric Medical Institute, Tashkent, Uzbekistan.
2Director of Private Medical Clinic Med Elite, Center for the Development of professional Qualifications of Medical workers, Tashkent, Uzbekistan.
Abstract:

Aim: To assess histopathological patterns in the endometrial biopsy of patients presenting with abnormal uterine bleeding.
Methodology: One hundred eight females with the complaint of abnormal uterine bleeding were enrolled. A gynecological examination was done. Dilatation and curettage were carried out. Specimens thus obtained were stored in 10\% formalin. The slides were examined under a microscope, and the various histopathological patterns were assessed.
Results: The age group 20-30 years had 48, 30-40 years had 50, and 40-50 years had ten females. A significant difference was observed. Inflammatory lesions were 28, such as acute endometritis in 12, chronic endometritis in 11, and chorioamnionitis in 5. Proliferative non-neoplastic lesions were 42, such as atypical hyperplasia in 18, typical hyperplasia in 12, and endometrial polyp in 12. Neoplastic lesions in 20 include leiomyoma in 8, a partial mole in 7, the complete mole in 2, and endometroid carcinoma in 3. Normal endometrium in 18, such as proliferative phase in 12 and secretory phase endometrium in 6. A significant difference was observed (P< 0.05).
Conclusion: The most common endometrial biopsy revealed proliferative non-neoplastic lesions such as atypical hyperplasia, typical hyperplasia, and endometrial polyp.

Author(s): Ishnazar Boynazarovich Mustafakulov1, Sobirjon Ergashevich Mamarajabov2, Zilola Aramovna Djurayeva3
1Docent., Head of the Department of Surgical Diseases Samarkand, Uzbekistan.
2Head of the Department of Operative Surgery and Topographic Anatomy of Samarkand State Medical University, Dean of the Faculty of International Education, Ph.D.; Samarkand, Uzbekistan.
3Lecturer of the Department of Endocrinology, Samarkand, Uzbekistan.
Abstract:

For timely prediction of the development of AHI syndrome in patients with closed abdominal trauma, it is necessary to monitor the IAP level. IBH syndrome develops in patients with concomitant abdominal trauma and is characterized by relatively high mortality rates. A statistically significant correlation was established between the level of AHI, APD, the frequency of development of a picture of multiple organ failure, and the severity of the patient’s condition according to the SOFA and APACHE II scales (p <0.05). A sudden increase and persistence of a high IAP level for a long time in patients with closed abdominal trauma indicate the use of active surgical tactics to perform decompression. The decision to decompress the abdominal cavity is based on IAP monitoring, considering the clinical picture of developing multiple organ failure.

Author(s): Sarvar Akbarov Alisherovich 1
1Director of private medical clinic Med Elite, Center for the Development of professional Qualifications of Medical workers, Tashkent, Uzbekistan.
Abstract:

Aim: To assess traumatic axial cervical spine injuries in 84 patients.
Methodology: Eighty-four patients with traumatic axial cervical spine injuries of either gender were enrolled. Magnetic imaging resonance (MRI) was performed in all. Conservative treatment was given to those with minimal no bony injuries with or without spinal cord contusion, and decompression and fixation were performed in moderate to severe bony injuries with spinal cord compression. In addition, patients were treated for anterior fixation, i.e., corpectomy with either autologous bone graft or titanium cage and plate fixation and with corpectomy with tricorticate graft.
Results: Out of 84 patients, males comprised 54 (64.2\%), and females had 30 (35.8\%). Aetiology in the present found to be assault in 9, road traffic accident in 48, sports injury in 17, and workplace injury in 10 cases. Body fracture was evident in 24 and ligamentous injury in 60 patients. The type of body fractures was C3 in 3, C4 in 2, C5 in 12, C6 in 3, and C7 in 4 patients. Management performed was corpectomy with tricorticate graft in 26 cases and a corpectomy with fixation with a titanium cage and plate/screws in 58 cases.
Conclusion: Discoligamentous was a major type of injury, and road traffic accident was the main cause of injury among patients with subaxial cervical spine injuries.

Author(s): Sobirjon Ergashevich Mamarajabov1, Ishnazar Boynazarovich Mustafakulov2, Zilola Aramovna Djurayeva3
1Head of the Department of Operative Surgery and Topographic Anatomy of Samarkand State Medical University, Dean of the Faculty of International Education, Ph.D.; Samarkand, Uzbekistan.
2Docent., Head of the department of surgical diseases, Samarkand, Uzbekistan.
3Lecturer of the Department of Endocrinology, Samarkand, Uzbekistan.
Abstract:

The article presents the results of studying the modern literature on diagnosing and treating severe concomitant abdominal trauma and their prediction. In addition, the authors provide the primary literature data of domestic and foreign authors in recent years.

Author(s): Hongwei Zhang1, Huiru Ji1
1Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China.
Abstract:

This work is devoted to study the global solutions of a class of nonlinear Moore-Gibson-Thompson equation. By applying the Galerkin and compact methods, we derive some sufficient conditions on the nonlinear terms, which lead to the existence and uniqueness of the global solution.

Author(s): Falade Kazeem Iyanda1
1Department of Mathematics, Faculty of Computing and Mathematical Sciences, Kano University of Science and Technology Wudil, P.M.B 3244 Kano State Nigeria.
Abstract:

In this paper, we formulate a new seven-step algorithm using a modified new iterative method for the numerical solution of the nonlinear gas dynamics equation. Three test cases are considered to demonstrate the feasibility and efficiency of the proposed method. Furthermore, numerical solutions show a good agreement with analytical solutions and some available examples from the available literature.

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