Spectral Decomposition of the Tent Map with Varying Height

The generalized spectral decomposition of the Frobenius-Perron operator of the tent map with varying height is determined at the band-splitting points. The decomposition includes both decay onto the attracting set and the approach to the asymptotically periodic state on the attractor. Explicit compact expressions for the polynomial eigenstates are obtained using algebraic techniques.Comment: 39 pages, 7 figures, in LATeX with embedded PS figure

Backward whirl in a simple rotor supported on hydrodynamic bearings

The asymmetric nature of the fluid film stiffness and damping properties in rotors supported on fluid film bearings causes a forward or a backward whirl depending on the bearing parameters and the speed of the rotor. A rotor was designed to exhibit backward synchronous whirl. The rotor-bearing system exhibited split criticals, and a backward whirl was observed between the split criticals. The orbital diagrams show the whirl pattern

Biopsy tract seeding in musculoskeletal sarcomas: myth or reality?

Background: It is a common practice in oncology in general and musculoskeletal oncology that the biopsy tract must be resected together with the tumor while performing limb-sparing surgery. Our study aims to assess the need for routine excision of biopsy scars in musculoskeletal malignancies by analyzing the presence of tumor in the biopsy tracts. Methods: We conducted a prospective study from January 2021 to April 2023, including 48 soft tissue and bone sarcoma patients. Neoadjuvant chemotherapy was administered to all cases of Ewings sarcoma and osteosarcoma. All of them underwent surgical resection with appropriate reconstruction. Biopsy tracts were sent separately and analyzed for tumor infiltration. Results: Two of the 48 patients included in the study had tumor deposits in their biopsy tracts. One patient with undifferentiated pleomorphic sarcoma and another patient with high-grade myxoid liposarcoma had tumor seeding in their biopsy tracts. Conclusions: The rate of biopsy tract seeding in our study was 4.2% (2 out of 48). Even though this might seem very less, it is still significant considering the rarity of bone and soft tissue sarcomas. Despite the low risk of tumor seeding, it is advisable to continue routinely excising the biopsy tract. Whether inappropriately placed biopsy tracts warrant an amputation instead of limb salvage is a question that will be best answered in the future with large-scale prospective randomized studies

HPTLC fingerprint profile of methanol extract of the marine red alga Portieria hornemannii (Lyngbye) (Silva)

The present study was aimed to develop the high performance thin layer chromatography (HPTLC) fingerprint profile of methanol extracts of marine red alga Portieria hornemannii (Lyngbye) (Silva). A HPTLC method for the separation of the active constituents in extracts has been developed and TLC of these extracts on silica gel pre-coated aluminum plates of Merck by the automatic TLC applicator and using the solvent system n-hexane:ethyl acetate (60:40 v/v) was performed. HPTLC profiling of the extract confirm about the presence of various phytochemicals. HPTLC finger print scanned at 490 nm for methanol and ethyl acetate algal extracts revealed 13 peaks with Rf values in the range of 0.16 to 0.99 respectively. The HPTLC method for routine quality control of present species can be carried out using this method for extracts of plant and serve in qualitative, quantitative and was appropriate for standardization of the extract

Evaluation of antioxidant activity of methanol extracts of red algae Chondrococcus hornemannii and Spyridia fusiformis

The antioxidant activity of methanol extracts of the red seaweed, Chondrococcus hornemannii and Spyridia fusiformis was analyzed through two different radicals such as nitricoxide and hydroxyl radicals. The extract from S. fusiformis had the highest antioxidant potential, which was also found to be equivalent to the antioxidant activities of some commercial antioxidants (BHT and L-ascorbic acid). The antioxidant assay was performed at the concentration ranging from 100 500 L. The present study confirms that C. hornemannii and S.fusiformis received special attention and used as a source of natural antioxidant

Primary chondrosarcoma of bone: a clinicopathological and oncological outcome analysis

Chondrosarcomas are a heterogenous group of cartilaginous matrix-producing malignant neoplasms. They have varied morphological features and different clinical behaviors. The tumors usually range from benign low-grade tumors or intermediate atypical cartilaginous tumors (ACTs), to malignant, aggressive high-grade tumors. A multidisciplinary team at a tertiary sarcoma centre allows for optimal management of these patients. To determine the clinicopathological and survival outcomes of patients of chondrosarcoma, we report a total of 20 cases in the last 10 years at our institution. Our results have shown that chondrosarcomas occurred in different age groups and most common location was in axial skeleton. Most common histological type was conventional chondrosarcoma and majority were high grade tumors. All patients had undergone surgery and majority of the patients were alive after many years of treatment with an overall survival of 85%. Long term survival of patients is attributed to completeness of surgical resection.

Ewing sarcoma: a tumor with an uncanny predilection for uncommon sites

Ewing sarcoma is one of the most common bone tumors diagnosed in pediatric age group second only to osteosarcoma. The tumor is known to involve most commonly pelvic bones and long bones while extra-skeletal Ewing sarcoma accounts for 15%. Ewing sarcoma of other sites like scapula, clavicle, hands, and feet are quite rare, accounting for only 3-5%. To determine the epidemiological profile of Ewing sarcoma of unusual sites treated in our department including age at diagnosis, site of origin and mode of management along with survival data. Details of Ewing sarcoma patients reported our department in last 9 years were collected and data was analysed. We report a total of 20 cases of Ewing sarcoma in last 9 years with 4 (20%) extra skeletal Ewing sarcoma arising from soft tissues of extremities and 30% from rare sites (3 scapula, 1 clavicle, 1 phalanx, 1 calcaneum). All patients were operated after 4-7 cycles of chemotherapy with 66% limb salvage rate. With an average necrosis of 40%, with a median follow up of 36 months, the overall survival of the group was found to be 77.7%. Ewing sarcoma is one of the rare tumors of bone and soft tissue with the predilection for unusual sites, with reasonable survival outcomes in localized disease. Though scapula, clavicle, hands and feet are rare sites for Ewing sarcoma, they accounted for 30% in our department, possibly because of the referral patterns

H-E-Super Magic Decomposition of Graphs

An H-magic labeling in an H-decomposable graph G is a bijection f:V(G) U E(G) --> {1,2, … ,p+q} such that for every copy H in the decomposition, $\sum\limits_{v\in V(H)} f(v)+\sum\limits_{e\in E(H)} f(e)$ is constant. The function f is said to be H-E-super magic if f(E(G)) = {1,2, … ,q}. In this paper, we study some basic properties of m-factor-E-super magic labelingand we provide a necessary and sufficient condition for an even regular graph to be 2-factor-E-super magic decomposable. For this purpose, we use Petersen\u27s theorem and magic squares

STRUCTURE OF BENZ[A]ANTHRACENE-7,12-DIONE

C18H1002, monoclinic, C2/c, a = 10.918 (1), b = 11.369(1), c = 19.850(1)A, /~= 97.224(7) ° , U = 2444.4 A 3, Z = 8, D,n = 1.41 (2), D c = 1.403 Mg m -3, F(000) = 1072, 2(CuKa) = 1.5418/~, ~t = 0.742 mm -1. 2253 reflections were measured, of which 1039 had significant intensities. Refinement converged to a final R of 0.045. The molecule is approximately planar. Ring C is significantly non-delocalized. Bonds C(3)-C(4) and C(5)-C(6) are short, and indicate pronounced olefinic character for these bonds

Knowledge and awareness of cervical cancer, its prevention and attitude towards human papillomavirus vaccine among medical students

Background: Cervical cancer is still one of the most common cancers affecting females in India, leading to a lot of mortality and morbidity. The objective of this study was to assess the awareness of the human papillomavirus (HPV) infections and vaccination among the medical students of a tertiary care teaching hospital.Methods: A total 300 final year I and II medical students were requested to complete a questionnaire regarding cervical cancer, primary and secondary preventive measures and attitude of students towards HPV vaccination and the answers were then analysed.Results: Among 300 medical students, 46.6% were males and 53.4% were females. Most of them were aware of the common risk factors like early marriage (92.7%), multiple partners (99%), multiparity (83.3%) and HPV exposure (85.7%). Most were aware of the cervical cancer symptoms like offensive vaginal discharge (70%), irregular vaginal bleeding (92.7%) and postcoital bleeding (80.3%). 90% were aware that cervical cancer is preventable and 74% were aware that vaccine is available in India. 70% were aware about the best age to vaccinate is 9-13 years. About 10% were already vaccinated and all were females. Out of 270 students who have not administered HPV vaccine, 53.4% didn’t take the vaccine because of lack of awareness. High cost (18.8%), fear of side effects (13.8%) and doubt on efficacy (14%) were the other reasons reported for non-administration of vaccines.Conclusions: The study showed that there were gaps in knowledge regarding HPV infection and vaccination existed amongst the medical students. So, awareness among the students should be created and a more integrated teaching regarding various aspects of HPV infection, cervical cancers and its prevention needs to be introduced in the medical education system