Fixed Point Theorems for Four Mappings in Fuzzy Metric Space using Implicit Relation

Abstract The present paper deals with proving some common fixed point results in a fuzzy metric space using Implicit Relation. Index Terms: Fixed point, fuzzy metric space, occasionally weakly compatible mappings, t-norm, Implicit Relation

EVALUATION OF ANTIOXIDANT EFFECT OF ALCOHOLIC ROOTS EXTRACT OF EUPHORBIA HIRTA LINN. – IN VITRO

Objective: The main objective of the present study was to undergo an investigation on free radical scavenging activity of the roots of Euphorbia hirta Linn. and was compared with a standard antioxidant compound like ascorbic acid. Methods: Euphorbia hirta roots extract was tested for total flavonoid content, total phenolic content, and in vitro antioxidant activity by 1, 1-diphenyl- 2-picrylhydrazyl (DPPH) free radical scavenging assay (DPPH) assay, superoxide anion radical scavenging assay, and nitric oxide scavenging assay. Results: The alcoholic roots extract of E. hirta was screened for free radical scavenging and antioxidant activities using three different methods. It was found that percentage inhibition of the extract was concentration-dependent. Total phenolic content and total flavonoid content were found to be 265.72±1.3 and 45.67±1.14, respectively. The alcoholic extract of E. hirta produced a dose-dependent inhibition of superoxide radicals ranging from 40.14±0.14 to 70.93±0.10. The mean IC50 values for DPPH radical by root extract of E. hirta and ascorbic acid were found to be 18.12 μg/ml and 13.17 μg/ ml, respectively. The alcoholic extract of E. hirta produced dose-dependent inhibition of nitric oxide radicals scavenging effect ranging from 17.05±0.18 to 51.08±0.30. The alcoholic extract of E. hirta and ascorbic acid shows mean IC50 values for superoxide radical as 23.64 μg/ml and 14.36 μg/ml, respectively. Conclusions: The present study showed that E. hirta possesses a considerable amount of both phenolic and flavonoid content. The alcoholic root extract also shows good antioxidant potential. The results of the present study also encourage for further in vivo studies and isolation and characterization of active compounds

Epithelioid sarcoma presenting as radial mononeuropathy: anatomical, magnetic resonance neurography and diffusion tensor imaging appearances

The authors report an unusual case of radial mononeuropathy caused by epithelioid sarcoma and describe the anatomical 3-Tesla MR neurography and the functional diffusion tensor imaging findings of the case, which were subsequently confirmed on surgical excision and histopathology

Patellar instability: CT and MRI measurements and their correlation with internal derangement findings

PURPOSE: To test the inter-observer and inter-method reliability among the measures suggesting patellofemoral joint disorder on both CT and MRI in the same subject and find possible association with internal derangements of the patellofemoral joint on MRI. METHODS: Institutional review board approval was obtained with waiver of the informed consent in this HIPPA-compliant study. CT and MRI were evaluated in 32 knees in 32 respective subjects (10 men/22 women, mean age 38 ± 19 years). Three trained observers assessed tibial tuberosity-trochlear groove (TT-TG) distance, trochlear angle and trochlear depth on both CT and MRI. Intra-class correlation coefficient (ICC) was used to evaluate inter-observer and inter-method reliability. Two radiologists' consensus reading was used to evaluate their association with soft tissue abnormalities of the patellofemoral joint. Chi-square test was used to assess the statistical significance of the qualitative variables. RESULTS: There was an excellent inter-observer reliability (ICC for CT >0.89 and for MRI >0.90) and inter-method reliability (ICC >0.86) for all the quantitative measurements. There was a significant association between increased TT-TG distance value on MR imaging and lateral facet patellar cartilage abnormality and joint effusion (p < 0.05). CONCLUSION: Quantitative trochlear parameters can be reliably calculated on MRI, and an abnormal TT-TG distance is the most useful measurement among various static MR imaging parameters to correlate with patellar chondrosis and joint effusion. TT-TG distance should be reported in patellofemoral pain syndrome patients. LEVEL OF EVIDENCE: IV

Sciatic nerve tumor and tumor-like lesions-uncommon pathologies

Sciatic nerve mass-like enlargement caused by peripheral nerve sheath tumors or neurocutaneous syndromes such as neurofibromatosis or schwannomatosis has been widely reported. Other causes of enlargement, such as from perineuroma, fibromatosis, neurolymphoma, amyloidosis, endometriosis, intraneural ganglion cyst, Charcot-Marie-Tooth disease, and chronic inflammatory demyelinating polyneuropathy are relatively rare. High-resolution magnetic resonance imaging (MRI) is an excellent non-invasive tool for the evaluation of such lesions. In this article, the authors discuss normal anatomy of the sciatic nerve and MRI findings of the above-mentioned lesions