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MANNHEIM PARTNER P-TRAJECTORIES IN THE EUCLIDEAN 3-SPACE E3
Zehra Isbilir,Kahraman Esen Ozen,Murat Tosun 호남수학회 2022 호남수학학술지 Vol.44 No.3
Mannheim introduced the concept of a pair of curves, called as Mannheim partner curves, in 1878. Until now, Mannheim partner curves have been studied widely in the literature. In this study, we take into account of this concept according to Positional Adapted Frame (PAF) for the particles moving in the 3-dimensional Euclidean space. We introduce a new type special trajectory pairs which are called Mannheim partner P-trajectories in the Euclidean 3-space. The relationships between the PAF elements of this pair are investigated. Also, the relations between the Serret-Frenet basis vectors of Mannheim partner P-trajectories are given. Afterwards, we obtain the necessary conditions for one of these trajectories to be an osculating curve and for other to be a rectifying curve. Moreover, we provide an example including an illustrative figure.
Evaluation of Antioxidant and Antimicrobial Potential of Strawberry Tree (Arbutus Unedo L.) Leaf
Hakime Hülya Orak,Hülya Yagar,Sebnem Selen Isbilir,Ahmet Şükrü Demirci,Tuncay Gümüş,Neslihan Ekinci 한국식품과학회 2011 Food Science and Biotechnology Vol.20 No.5
In present study, antioxidant and antimicrobial activities of strawberry tree (Arbutus unedo L.) leaves were investigated. Antioxidant activity was determined by methods of DPPH scavenging, β-carotene bleaching,reducing power, metal chelating, superoxide anion scavenging, and hydrogen peroxide scavenging activity. Total phenolic content were determined to be 197.16±1.43mg GAE/g extract in aqueous extract. The EC_50 value of methanolic extracts was found to be 0.423 mg/mL. The extracts of leaves showed nearly 1/4 metal chelating capacity of standard EDTA, high reducing power,superoxide anion scavenging, and hydrogen peroxide scavenging activities. While the strawberry tree leaves exhibited antibacterial activity against Staphylococcus aureus, there was no inhibitory effect against Escherichia coli and Salmonella enteritidis. The strawberry tree leaves exhibited antifungal effect against 2 aflatoxigenic molds namely Aspergillus parasiticus NRRL 2999 and NRRL 465. These results suggest that the strawberry tree leaves may be used as an antioxidant source for pharmaceutical application, nutraceutical and functional food industries.
Hakime Hulya Orak,Sebnem Selen Isbilir,Hulya Yagar 한국식품과학회 2012 Food Science and Biotechnology Vol.21 No.4
The objective of this study was to compare the antioxidant activities of lyophilized olive leaf water extracts (OLWExtracts) from 21 different olive tree cultivars. The highest total phenolic content (102.69±1.63 μg GAE/mg extract) was found in cultivar ‘Esek Zeytini’ and the lowest content (78.52±2.18 μg GAE/mg extract) was in ‘Uslu’. The highest total flavonoid content (12.47±0.12 μg QE/mg extract) obtained from ‘Frantoio’. According to EC50values, ‘Domat’ have the highest DPPH scavenging activity (EC50 =59 μg/mL), reducing power (EC50 =180 μg/mL),and superoxide radical scavenging capacity (EC50=44 μg/mL). While, ‘Ascolana’ showed the highest metal chelating capacity (EC50=163 μg/mL), ‘Memecik’ showed the highest hydrogen peroxide (H2O2) scavenging capacity. Research results exhibited that OLWExtracts are comparable to synthetic antioxidants. The correlation study showed that while total phenolic content correlated with DPPH scavenging activity and reducing power (p<0.01), total flavonoid content correlated with metal chelating and superoxide radical scavenging capacity (p<0.05).
Hakime Hulya Orak,Hulya Yagar,Sebnem Selen Isbilir 한국식품과학회 2012 Food Science and Biotechnology Vol.21 No.2
In this study, the antioxidant activities of juice,peel, and seed parts of pomegranate were investigated by using DPPH scavenging activity, β-carotene bleaching method, reducing power, and metal chelating activity. Sample of pomegranates which are named Punica granatum L. cv. Hicaznar, genotype 19-121, genotype 17-67, and genotype 19-66 obtained from BATEM (West Mediterranean Agricultural Research Institute) in Anlalya. The EC50values of DPPH scavenging activities in peel extracts (PE)had 23.4-fold higher than the juice extracts (JE), and the seed extracts (SE) had 2.3-fold higher than JE. The reducing power in peel extracts was found to be 4.7-fold higher than SE and 10.5-fold higher than the JE. The highest metal chelating capacity (37.22%) was determined in peel, while the lowest (7.151%) in seed. Generally, in peel, the total polyphenol, flavonoid, tannin contents, and in juice, the total polyphenol, anthocyanin, tannin contents,and acidity significantly affected to antioxidant activities.