SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD

In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional transformation and the generalized Kudryashov method is applied to obtain exact solutions. We also testify performance as well as precision of the applied method by means of numerical tests for obtaining solutions. The obtained results have been graphically presented to show the properties of the solutions

Survival Outcomes and Patterns of Recurrence After Adjuvant Vaginal Cuff Brachytherapy and Chemotherapy in Early-Stage Uterine Serous Carcinoma

Background: Uterine serous carcinoma (USC) is a relatively rare histology that portends a poor prognosis. The optimal adjuvant therapy for early-stage USC remains controversial; however, adjuvant vaginal cuff brachytherapy (VB) and chemotherapy is a commonly utilized strategy. Objectives: We sought to characterize predictors of survival endpoints and determine recurrence patterns in women with early-stage USC who received adjuvant VB and chemotherapy. Methods: We queried our prospectively maintained database for patients with 2009 FIGO stages I-II USC who underwent adequate surgical staging at our institution and received adjuvant chemotherapy with carboplatin and paclitaxel along with VB. We excluded women with synchronous malignancies. Overall survival (OS), disease-specific survival (DSS), and recurrence-free survival (RFS) were assessed by Kaplan-Meier and log-rank tests. Univariate (UVA) and multivariate analyses (MVA) were performed to identify statistically significant predictors of survival endpoints. Variables with P\u3c0.1 on UVA were included in a MVA and any variable with P\u3c0.05 was considered statistically significant. Results: We identified 77 women who met our inclusion criteria who underwent surgical staging between 1991 and 2018. The median follow-up time was 36 months (range 6-125). The median age was 66 years. Of the cohort, 70% were FIGO stage IA, 17% were stage IB, and 13% were stage II. The median number of dissected lymph nodes (LN) was 22. There were 10 women (13%) diagnosed with a recurrence with a median time to recurrence of 12.0 months. The main site of initial recurrence was distant in seven patients (70%) with the remaining recurrences being pelvic/para-aortic. The 5-year RFS for patients who experienced a distant recurrence was 87% (95% Confidence Interval [CI] 0.75-0.94). For the entire cohort, 5-year OS, DSS, and RFS were 83% (95% CI 0.68-0.91), 92% (95% CI 0.78-0.97), and 83% (95% CI 0.71-0.91), respectively. The sole predictor of 5-year OS on UVA was receipt of omentectomy (P=0.09). The predictors of 5-year DSS on UVA were presence of positive peritoneal cytology (P=0.03), number of LN examined (Hazard Ratio [HR] 1.10, 95% CI 1.00-1.21, P=0.05), and number of para-aortic LN examined (HR 1.16 [95% CI 1.01-1.32], P=0.03). The sole independent predictor of DSS was the presence of positive peritoneal cytology (HR 0.03 [95% CI 0.00-0.72], P=0.03). Predictors of five-year RFS on UVA were robotic vs open surgery technique (P=0.06), presence of positive peritoneal cytology (P=0.01), percent myometrial invasion (HR 5.59 [95% CI 0.84-37.46], P=0.08), and presence of lymphovascular space invasion (LVSI) (P=0.05). Conclusions: Five-year survival outcomes were promising in this cohort of women with early-stage USC treated with adjuvant chemotherapy and VB; however, this study shows that the predominant pattern of relapse in this population is distant, suggesting the need to optimize systemic therapy. Possible predictors of worse outcomes include positive peritoneal cytology, deep myometrial invasion, and presence of LVSI. Multi-institutional pooled analyses are warranted to confirm our study results

Antinociceptive activity of petroleum ether fraction obtained from methanolic extract of Clinacanthus nutans leaves involves the activation of opioid receptors and NO-mediated/cGMP-independent pathway

Background Methanol extract (MECN) of Clinacanthus nutans Lindau leaves (family Acanthaceae) demonstrated peripherally and centrally mediated antinociceptive activity via the modulation of opioid/NO-mediated, but cGMP-independent pathway. In the present study, MECN was sequentially partitioned to obtain petroleum ether extract of C. nutans (PECN), which was subjected to antinociceptive study with aims of establishing its antinociceptive potential and determining the role of opioid receptors and l–arginine/nitric oxide/cyclic-guanosine monophosphate (l–arg/NO/cGMP) pathway in the observed antinociceptive activity. Methods The antinociceptive potential of orally administered PECN (100, 250, 500 mg/kg) was studied using the abdominal constriction-, hot plate- and formalin-induced paw licking-test in mice (n = 6). The effect of PECN on locomotor activity was also evaluated using the rota rod assay. The role of opioid receptors was determined by pre-challenging 500 mg/kg PECN (p.o.) with antagonist of opioid receptor subtypes, namely β–funaltrexamine (β–FNA; 10 mg/kg; a μ-opioid antagonist), naltrindole (NALT; 1 mg/kg; a δ-opioid antagonist) or nor–binaltorphimine (nor–BNI; 1 mg/kg; a κ-opioid antagonist) followed by subjection to the abdominal constriction test. In addition, the role of l–arg/NO/cGMP pathway was determined by prechallenging 500 mg/kg PECN (p.o.) with l–arg (20 mg/kg; a NO precursor), 1H-[1, 2, 4] oxadiazolo [4,3-a]quinoxalin-1-one (ODQ; 2 mg/kg; a specific soluble guanylyl cyclase inhibitor), or the combinations thereof (l–arg + ODQ) for 5 mins before subjection to the abdominal constriction test. PECN was also subjected to phytoconstituents analyses. Results PECN significantly (p  0.05) affect the locomotor activity of treated mice. The antinociceptive activity of PECN was significantly (p  0.05) affected by ODQ. HPLC analysis revealed the presence of at least cinnamic acid in PECN. Conclusion PECN exerted antinocicpetive activity at peripheral and central levels possibly via the activation of non-selective opioid receptors and modulation of the NO-mediated/cGMP-independent pathway partly via the synergistic action of phenolic compounds

Lime peel extract induced NiFe2O4 NPs: Synthesis to applications and oxidative stress mechanism for anticancer, antibiotic activity

Nanobiotechnology, joined with green science, has incredible potential for the advancement of novel and important products that benefit human health, climate, and industries. Green chemistry of materials from synthesis to diverse biomedical applications is a talk of town in today's sustainable ideal world. Green synthesized nickel ferrites nanoparticles via biogenic lime peel extract (LPE) are investigated with precision and complete trail has been reported as multiple efficacies. The fcc crystal structure with the crystallite size (31 nm) were accessed by the XRD, magnetic properties using VSM, and FTIR for the functional group analysis of NiFe2O4 nanoparticles mediated by Lime peel extract (NiFe2O4@LPE NPs). From TEM and SEM analysis the average diameter of the NPs was observed in the range of 31-35 nm. In 3D view, the surface morphology was analyzed by the AFM. NiFe2O4@LPE NPs were used to assess cytotoxicity and cellular morphological alterations in In Vitro cervical cancerous cells (HeLa). Nanosized NiFe2O4@LPE accompanied the considerable NPs topology induced dose dependent MMP in HeLa cells unlike the previous interpretation of controlled metabolism anticancer activity for HeLa cancerous cells. Therefore, it is referred by oxidative stress and reduction phenomena for anticancer effects and inactivation of carcinogen. Moreover, Antioxidant DPPH radical scavenging method and antibacterial Bacillus subtilis, Escherichia coli, Pseudomonas aeruginosa, and Staphylococcus aureus activity were observed in the synthesized nickel ferrites NPs. (c) 2022 The Author(s). Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).</p

Assessment of green and chemically synthesized copper oxide nanoparticles against hepatocellular carcinoma

Copper oxide nanoparticle (CuO-NPs) attracts the attentions of human beings due to unique physicochemical and biological properties. The chemical and green synthesis approaches were used to synthesis of CuO-NPs and plant leaves extract Azadirachta indica (A. indica) was preferred in green synthesis approach. The XRD analysis was used to analyze the monoclinic crystal structure and calculate the average crystallite size in the range of 15 ti 16 nm. While, the information about different rotational and vibrational modes attached on the spectrum of CuO-NPs was identified by FTIR. After that the UV-VIS analysis provided the information about the absorbance spectrums in the range of 235 and 220 nm. The MTT assay was perfomed to investigate liver carcinoma (HepG2 cells) interaction and absorbance of CuO-NPs towards mentioned cell lines were recorded and loss in HepG2 cells viability. In an overall assessment, anticancer response of comparative study of CuO-NPs towards liver carcinoma treatment contributes significantly after successful demonstration of essential steps of suggested experimental study. Finally, comparative study of experimental and mathematical modeling of anticancer activity towards normal and liver cancer cell lines were conducted and investigated. (c) 2021 The Author(s). Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

The current work deals with the study of a thermo-piezoelectric modified model in the context of generalized heat conduction with a memory-dependent derivative. The investigations of the limited-length piezoelectric functionally graded (FGPM) rod have been considered based on the presented model. It is assumed that the specific heat and density are constant for simplicity while the other physical properties of the FGPM rod are assumed to vary exponentially through the length. The FGPM rod is subject to a moving heat source along the axial direction and is fixed to zero voltage at both ends. Using the Laplace transform, the governing partial differential equations have been converted to the space-domain, and then solved analytically to obtain the distributions of the field quantities. Numerical computations are shown graphically to verify the effect of memory presence, graded material properties, time-delay, Kernel function, and the thermo-piezoelectric response on the physical fields

New Fractional Dynamic Inequalities via Conformable Delta Derivative on Arbitrary Time Scales

Building on the work of Josip Pečarić in 2013 and 1982 and on the work of Srivastava in 2017. We prove some new α-conformable dynamic inequalities of Steffensen-type on time scales. In the case when α=1, we obtain some well-known time scale inequalities due to Steffensen inequalities. For some specific time scales, we further show some relevant inequalities as special cases: α-conformable integral inequalities and α-conformable discrete inequalities. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities

Numerical simulation using the non-standard weighted average FDM for 2Dim variable-order Cable equation

The fractional variable-order (VO) two-dimensional (2Dim) Cable equation is one of the most significant types of anomalous subdiffusion equations that emerge strongly in spiny neural dendrites and is solved by using an accurate numerical technique in this study. The non-standard weighted average finite difference approach is a simple proposed technique (NSWAFDM). The proposed method’s stability is investigated in depth by using the John von Neumann stability analysis approach. The arbitrary weight factor and multiple discretization schemes of the VO derivative are used to develop a specific stability criterion. To demonstrate the usefulness and accuracy of the suggested technique, numerical examples are offered

Multistage Optimal Homotopy Asymptotic Method for the Nonlinear Riccati Ordinary Differential Equation in Nonlinear Physics

The present paper addresses the approximate analytical solution of the nonlinear Riccati differential equations using the Multistage homotopy asymptotic method which is used in nonlinear physics. The suggested algorithm is accurate, effective and simple to utilize semi-analytic tool for nonlinear problems. To test accuracy of the recommended algorithm serval test problems are considered and the obtained results are compared with those of the recent literature. These results revealed accuracy and efficiency of the suggested method

Patterns of Recurrence After Adjuvant Vaginal Cuff Brachytherapy and Chemotherapy in Early-Stage Uterine Serous Carcinoma

Purpose/Objective(s): Adjuvant vaginal cuff brachytherapy (VB) and chemotherapy are commonly utilized in women with early-stage uterine serous carcinoma (USC). We sought to characterize predictors of survival endpoints and recurrence patterns in this rare population who received similar adjuvant treatments. Materials/Methods: We queried our prospectively maintained database for patients with 2009 FIGO stages I-II USC who underwent adequate surgical staging at our institution and received adjuvant chemotherapy with carboplatin and paclitaxel along with VB. We excluded women with synchronous malignancies. Overall survival (OS), disease-specific survival (DSS), and recurrence-free survival (RFS) were assessed by Kaplan-Meier and log-rank tests. Univariate (UVA) and multivariate analyses (MVA) were performed to identify statistically significant predictors of survival endpoints. Variables with P \u3c 0.1 on UVA were included in a MVA and any variable with P \u3c 0.05 was considered statistically significant. Results: We identified 77 women who met our inclusion criteria who underwent surgical staging between 1991 and 2018. The median follow-up time was 36 months (range 6-125). The median age was 66 years. Of the cohort, 70% were FIGO stage IA, 17% were stage IB, and 13% were stage II. The median number of dissected lymph nodes was 22. There were 10 women (13%) diagnosed with a recurrence with a median time to recurrence of 12.0 months. The main site of initial recurrence was distant in seven patients (70%). For the entire cohort, 5-year OS, DSS, and RFS were 83% (95% Confidence Interval [CI] 0.68-0.91), 92% (95% CI 0.78-0.97), and 83% (95% CI 0.71-0.91), respectively. The sole independent predictor of 5-year DSS was the presence of positive peritoneal cytology (Hazard Ratio 0.03, 95% CI 0.00-0.72, P = 0.03). Conclusion: Although 5-year survival outcomes were promising in this cohort, this study suggests that the predominant pattern of relapse in early-stage USC treated with adjuvant chemotherapy and VB is distant, calling for the optimization of systemic therapy. Positive peritoneal cytology is an independent predictor of worse DSS. Multi-institutional pooled analyses are warranted to confirm our study results