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ISSN: 2523-0212 (online) 2616-4906 (Print)
ISSN: 2616-8111 (online) 2616-8103 (Print)
ISSN: 2617-9687 (online) 2617-9679 (Print)
ISSN: 3135-0550 (online) 3135-0542 (Print)
ISSN: 2617-9709 (online) 2617-9695 (Print)
ISSN: 2791-0814 (online) 2791-0806 (Print)
Open Journal of Mathematical Sciences (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)
Aim: To compare preperitoneal meshplasty and Lichtenstein’s hernioplasty in patients with inguinal hernia.
Methodology: A total of one hundred six cases of inguinal hernia were included in the study. Patients were divided into two groups of 53 each. Group, I patients underwent preperitoneal meshplasty, and group II patients underwent Lichtenstein’s hernioplasty technique of inguinal hernia repair. Parameters such as time taken for surgery early complications were recorded.
Results: Group I had 22 males and 18 females, and group II had 25 males and 15 females. The mean time of surgery in group I was 46.2 minutes, and in group II was 55.2 minutes. An early complication was seroma two each in group I and 1 in group II, wound infection 3 cases in group I and 2 in group II, pain 2 in group I, mesh infection 3 in group I and 1 in group II and testicular atrophy 1 in group I. The difference was significant (P< 0.05).
Conclusion: Both techniques such as preperitoneal meshplasty and Lichtenstein’s hernioplasty were effective in management of inguinal hernia.
Aim: To compare outcome of early and delayed repair of bile duct injuries.
Methodology: Sixty- four patients with bile duct injuries of either gender were divided into group I (Early repair) and group II (Delayed repair). Operative findings such as injury classification and procedural variables and postoperative course, including 30-day re-admission and 90-day mortality, were recorded.
Results: Aetiology was cholecystectomy in 25 and 21, abdominal trauma in 7 and 8, and non-biliary abdominal procedures in 2 and 5 groups I and II, respectively. There were 18 males and 14 females and 16 males and 16 females in groups I and II, respectively. Hospital length of stay was 7.1 days in group I and 8.4 days, 30 days of re-admission was seen in 3 and 4, and 90 days of mortality was seen in 2 in group I and 1 in group II. Strasburg-Bismuth classification showed A in 1 and 2, B in 3 and 4, C in 8 and 1, D in 6 and 4, E1 in 4 and 4, E2 in 3 and 5, E3 in 4 and 6, E4 in 3 and 4, E5 in 2 and 3 and X in 0 and 1 in group I and II respectively. Preoperative PTC catheter placement was seen in 0 and 18, and preoperative percutaneous transabdominal drain placement was seen in 0 and 12 in groups I and II, respectively.
Conclusion: Early repair found to be better as compared to delayed repair of bile duct injury.
In this paper, we define the binomial transform of the generalized fifth order Jacobsthal sequence and as special cases, the binomial transform of the fifth order Jacobsthal, fifth order Jacobsthal-Lucas, adjusted fifth order Jacobsthal and modified fifth order Jacobsthal-Lucas sequences will be introduced. We investigate their properties in details.
In this paper, we analyze a new continuous-time epidemic model including nonlinear delay differential equations by using parameters and functions selected from a class of intervals whose algebraic basis is based on quasilinear spaces. The main idea in the model’s generic structure is based on uncertainties in the values of parameters and functions forming the model. Therefore, using an interval coefficient approach rather than the exact value of parameters and functions that define transmissions between the compartments in the population dynamics will better represent the reality. Furthermore, preferring such an approach provides more realistic scenarios for temporal and stability dynamics of a population exposed to a disease. In this study, the quasilinear space is defined to explain the mathematical background of the interval approach in the fictional chain of the model. Next, descriptions belonging to the introduced model are included. After this compartmental system is presented as two systems formed by the lower and upper endpoints of the intervals determining parameters and functions, local and global dynamics related to stabilities of the models are analyzed separately for each. Then, using some interval analysis and functional analysis methods, these results are combined, and a conclusion about the stability of the proposed epidemic model has been reached. Alongside, the performance of the proposed approach is demonstrated by a visual simulation.
The inverse sum indeg index \(ISI(G)\) of a graph is equal to the sum over all edges \(uv\in E(G)\) of weights \(\frac{d_{u}d_{v}}{d_{u}+d_{v}}\). This paper presents the relation between the inverse sum indeg index and the chromatic number. The bounds for the spectral radius of the inverse sum indeg matrix and the inverse sum indeg energy are obtained. Additionally, the Nordhaus-Gaddum-type results for the inverse sum indeg index, the inverse sum indeg energy and the spectral radius of the inverse sum index matrix are given.
Analytical expressions for the steady-state solutions of modified Stokes’ second problem of a class of incompressible Maxwell fluids with power-law dependence of viscosity on the pressure are determined when the gravity effects are considered. Fluid motion is generated by a flat plate that oscillates in its plane. We discuss similar solutions for the simple Couette flow of the same fluids. Obtained results can be used by the experimentalists who want to know the required time to reach the steady or permanent state. Furthermore, we discuss the accuracy of results by graphical comparisons between the solutions corresponding to the motion due to cosine oscillations of the plate and simple Couette flow. Similar solutions for incompressible Newtonian fluids with power-law dependence of viscosity on the pressure performing the same motions and some known solutions from the literature are obtained as limiting cases of the present results. The influence of pertinent parameters on fluid motion is graphically underlined and discussed.
In analogy with the classical theory of filters, for finitely complete or small categories, we provide the concepts of filter, \(\mathfrak{G}\)-neighborhood (short for “Grothendieck-neighborhood”) and cover-neighborhood of points of such categories, to study convergence, cluster point, closure of sieves and compactness on objects of that kind of categories. Finally, we study all these concepts in the category \(\mathbf{Loc}\) of locales.
Aim: To assess cases of dengue fever in Pediatric patients.
Methodology: Sixty-eight pediatric cases of dengue of both genders were included in the study. Clinical features and laboratory findings were recorded. Statistical analysis was performed using appropriate tests.
Results: Out of 68 patients, boys were 38, and girls were 30. Common symptoms were fever in 95%, vomiting in 68%, loose stools in 22%, periorbital puffiness in 10% and respiratory distress in 26, pain abdomen in 47% cases. The mean hemoglobin level at admission was 12.6 gm% and at discharge was 12.7gm%. The mean TLC was 56210 cumm of blood at admission, and at discharge was 122452 cumm of blood.
Conclusion: Common symptoms were fever, vomiting, respiratory distress and pain abdomen. Hence careful evaluation of dengue in children is required.
Aim: To assess relation between diabetes mellitus and thyroid dysfunction.
Methodology: 105 type II diabetes mellitus patients of both genders were included. Serum TSH (Thyroid Stimulating Hormone), free \(T_3\) (Triiodothyronine) and free \(T_4\)(Thyroxine) were determined in all enrolled patients.
Results: There were 50 males and 55 females in the present study. Age group 21-30 years had 15 patients, 31-40 years had 26, and 41-50 years had 64 patients. Duration of diabetes was 8.4 years, and the level of glycosylated hemoglobin (HbA1C) was 9.2 years. A significant difference was observed (P< 0.05). Serum T3 was increased by 15% and decreased by 4%. Free T3 was increased in 5% and decreased in 13%, and free T4 was increased in 7% and decreased in 5%. There were 20 hypothyroidism and 29 hyperthyroidism patients. Maximum hypothyroidism patients (12) and hyperthyroidism patients (14) were seen with >7 HbA1C levels.
Conclusion: Most of the type II DM patients had hypothyroidism than hyperthyroidism.
Aim: To assess cases of pregnancy induced hypertension.
Materials & Methods: Our study included 74 cases of pregnancy-induced hypertension. Parameters such as age, marital status, education, parity, etc., were recorded.
Results: Age group (years) <20 had 30%, 20-24 had 45%, 25-29 had 16%, 30-34 had 5% and >35 had 4% cases. Education level was illiterate in 40% and literate in 60%, and marital status was married in 58%, single in 26% and divorced in 16$, parity was 0 in 24%, 1-2 in 46% and >2 in 30%, gravida was primi in 40% and multi in 60%, previous PIH was seen in 24% patients. Family history of DM was observed in 25%, family history of PIH in 18%, family history of hypertension was seen in 10%, history of asthma was seen among in 8\% and history of kidney disease 30% patients. The difference was significant (P< 0.05).
Conclusion: Common risk factors of pregnancy induced hypertension was family history history of asthma, hypertension, family history of PIH, family history of DM, history of kidney disease.
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