Sombor indices – back to geometry

ODAM-Vol. 5 (2022), Issue 2, pp. 1 – 5 Open Access Full-Text PDF
Ivan Gutman

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.

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Comparative study between oxycodone versus morphine, with zofran, to reduce post-operative nausea and vomiting: a monocentric clinical trial

TCMS-Vol. 2 (2022), Issue 2, pp. 24 – 31 Open Access Full-Text PDF
Joseph Maalouli MD, Patricia Nehme MD, Marie Merheb MD and Elie Gharios MD

Abstract: 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.

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Histopathological patterns in the endometrial biopsy of patients presenting with abnormal uterine bleeding

TCMS-Vol. 2 (2022), Issue 2, pp. 19 – 23 Open Access Full-Text PDF
Akbarova Munisa Abduxalilovna and Sarvar Akbarov Alisherovich

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.

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The role of intra-abdominal pressure in injuries of the abdominal organs with associated injuries

TCMS-Vol. 2 (2022), Issue 2, pp. 14 – 18 Open Access Full-Text PDF
Ishnazar Boynazarovich Mustafakulov, Sobirjon Ergashevich Mamarajabov and Zilola Aramovna Djurayeva

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.

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Assessment of traumatic axial cervical spine injuries

TCMS-Vol. 2 (2022), Issue 2, pp. 9 – 13 Open Access Full-Text PDF
Sarvar Akbarov Alisherovich

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.

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Open and closed damage to the abdomen with associated trauma

TCMS-Vol. 2 (2022), Issue 2, pp. 1 – 8 Open Access Full-Text PDF
Sobirjon Ergashevich Mamarajabov, Ishnazar Boynazarovich Mustafakulov and Zilola Aramovna Djurayeva

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.

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On global solutions of the nonlinear Moore-Gibson-Thompson equation

OMA-Vol. 6 (2022), Issue 1, pp. 76 – 82 Open Access Full-Text PDF
Hongwei Zhang and Huiru Ji

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.

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Algorithm analytic-numeric solution for nonlinear gas dynamic partial differential equation

EASL-Vol. 5 (2022), Issue 2, pp. 32 – 40 Open Access Full-Text PDF
Falade Kazeem Iyanda

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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Rethinking the halting problem-angles trisectability cryptographic analogy

EASL-Vol. 5 (2022), Issue 2, pp. 21 – 31 Open Access Full-Text PDF
Kimuya M. Alex and Munyambu C. June

Abstract: The “angle trisection-halting problem” impossibility analogy is fundamentally based on the obscure perception that; the classical geometric notion of constructability in Euclidean plane geometry corresponds to the modern theory of computability. Specifically, the difficulty of empirical trisectability of any angle has been viewed as analogous to the impossibility of solving the halting problem. The primary goal of this paper is to establish the inherent incompatibility between the geometric trisectioning of angles and the halting problem. The exposed proof concern the genetic solutions methodic characterization of the inconsistencies between the angle trisection problem and the halting problem. We show that regarding their attempts at solutions, the genetic trisectability of an arbitrary angle leads to solving the halting problem in geometric cryptographic schemes. It is upon the characteristic inconsistencies that we establish a provable refute of the validity of considering the practical applications of geometric cryptography as a solid source for cryptographic principles.

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The mythical heterosexual charge of a lithium-ion battery

EASL-Vol. 5 (2022), Issue 2, pp. 18 – 20 Open Access Full-Text PDF
Jaime A. Teixeira da Silva

Abstract: In a recent review paper related to energy storage, the authors noted that, in a bid to enhance the performance of the anode of a lithium-ion battery (LIB), that a part of the mechanism involved the ability of silicon (Si) and graphene oxide to bind, and that this process was aided by the ”mutual attraction of heterosexual charges” [1], a term or mechanism that was said to be derived from another paper [2]. A LIB, or any battery for that matter, does not have a bisexual, heterosexual or any sexual charge. It seems that this odd term and jargon neologism, or tortured phrase, was introduced as a result of mistranslation of an established term or jargon, ”opposite charges”. As such, it constitutes an error in need of correction. The wider implications for energy storage research such as LIBs, as well as for bibliometrics, are discussed.

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