• Title/Summary/Keyword: H%27

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MAPS PRESERVING m- ISOMETRIES ON HILBERT SPACE

  • Majidi, Alireza
    • Korean Journal of Mathematics
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    • v.27 no.3
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    • pp.735-741
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    • 2019
  • Let ${\mathcal{H}}$ be a complex Hilbert space and ${\mathcal{B}}({\mathcal{H}})$ the algebra of all bounded linear operators on ${\mathcal{H}}$. In this paper, we prove that if ${\varphi}:{\mathcal{B}}({\mathcal{H}}){\rightarrow}{\mathcal{B}}({\mathcal{H}})$ is a unital surjective bounded linear map, which preserves m- isometries m = 1, 2 in both directions, then there are unitary operators $U,V{\in}{\mathcal{B}}({\mathcal{H}})$ such that ${\varphi}(T)=UTV$ or ${\varphi}(T)=UT^{tr}V$ for all $T{\in}{\mathcal{B}}({\mathcal{H}})$, where $T^{tr}$ is the transpose of T with respect to an arbitrary but fixed orthonormal basis of ${\mathcal{H}}$.

The role of EZH1 and EZH2 in development and cancer

  • Soo Hyun, Lee;Yingying, Li;Hanbyeol, Kim;Seounghyun, Eum;Kyumin, Park;Chul-Hwan, Lee
    • BMB Reports
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    • v.55 no.12
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    • pp.595-601
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    • 2022
  • Polycomb Repressive Complex 2 (PRC2) exhibits key roles in mammalian development through its temporospatial repression of gene expression. EZH1 or EZH2 is the catalytic subunit of PRC2 that mediates the mono-, di- and tri-methylation of histone H3 lysine 27 (H3K27me1/2/3), H3K27me2/me3 being a hallmark of facultative heterochromatin. PRC2 is a chromatin-modifying enzyme that is recruited to a limited number of "nucleation sites", spreads H3K27 methylation and fosters chromatin compaction. EZH1 and EZH2 exhibit differences in their expression patterns, levels of histone methyltransferase activity (HMT) in the context of PRC2, and DNA/nucleosome binding activity. This suggests that their roles in heterochromatin formation are disparate. Dysregulation of PRC2 activity leads to aberrant gene expression and is implicated in cancer and developmental diseases. In this review, we discuss the distinct function of PRC2/EZH1 and PRC2/EZH2 in the early and late developmental stages. We then discuss the cancers associated with PRC2/EZH1 and PRC2/EZH2.

The Eradication of Helicobacter pylori in the Duodenal Ulcer in Children and the Duodenal Recurrence (소아 십이지장궤양에서의 H. pylori 박멸과 궤양재발에 대한 연구)

  • Choe, Yon-Ho;Ko, Jae-Sung;Kim, Soon-Yeong;Yoo, Young-Mee;Seo, Jeong-Kee
    • Pediatric Gastroenterology, Hepatology & Nutrition
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    • v.1 no.1
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    • pp.30-36
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    • 1998
  • Purpose: It is well known that duodenal ulcer disease does not relapse if H. pylori is cleared from the gastric mucosa. Little is known about the recurrence of duodenal ulcer in children. The purpose of this study was to evaluate the effect of the eradication of H. pylori in duodenal ulcer in children upon the duodenal ulcer recurrence. Methods: 105 patients (M:F=78:27) diagnosed as duodenal ulcer by endoscopy in 1987~1995 were reviewed clinically, and were parted into two groups. The two treatment groups were ranitidine/antacid (RAN/ANT) and ranitidine/amoxicillin/denol (RAN/AMX/D). The latter was for H. pylori-positive children with duodenal ulcer who were diagnosed by serology and/or antral biopsies for histology, culture, and urease testing. The recurrence rates were compared between the two groups. Results: 1) 30 patients with primary duodenal ulcer underwent endoscopy for H. pylori and 27 (90.0%) of them were positive for H. pylori. 2) 27 of H. pylori-positive children received RAN/AMX/D. 23(85.2%) of them showed cure of duodenal ulcer and eradication of H. pylori. 3) The duodenal ulcer recurrence rate in RAN/ANT group was 65.3% and the rate in RAN/AMX/D was 4.3% by a year. Conclusions: There is a strong correlation between the duodenal ulceration and H. pylori infection in children, and the eradication of H. pylori in duodenal ulcer patients reduces the recurrence of the ulcer. Because of the low incidence of duodenal ulcers in children, a multicenter prospective study is required to determine the effect of treating H. pylori infetion on the long term natural history of duodenal ulcer disease.

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k-FRACTIONAL INTEGRAL INEQUALITIES FOR (h - m)-CONVEX FUNCTIONS VIA CAPUTO k-FRACTIONAL DERIVATIVES

  • Mishra, Lakshmi Narayan;Ain, Qurat Ul;Farid, Ghulam;Rehman, Atiq Ur
    • Korean Journal of Mathematics
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    • v.27 no.2
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    • pp.357-374
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    • 2019
  • In this paper, first we obtain some inequalities of Hadamard type for (h - m)-convex functions via Caputo k-fractional derivatives. Secondly, two integral identities including the (n + 1) and (n+ 2) order derivatives of a given function via Caputo k-fractional derivatives have been established. Using these identities estimations of Hadamard type integral inequalities for the Caputo k-fractional derivatives have been proved.

Identification of Four Cyst Nematodes using PCR-RFLP in Korea (PCR-RFLP를 이용한 국내 분포 씨스트선충 4종의 동정)

  • Ko, Hyoung-Rai;Kang, Heonil;Park, Eun-Hyoung;Kim, Eun-Hwa;Lee, Jae-Kook
    • Korean Journal of Organic Agriculture
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    • v.27 no.3
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    • pp.353-363
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    • 2019
  • To identify four cyst nematodes (Heterodera schachtii, H. trifolii, H. glycines, H. sojae) that are economically important plant-parasitic nematodes in Korea, restriction fragment length polymorphism (RFLP) by 8 endonucleases (PstI, VspI, AlwI, RsaI, MvaI, EcoRI, Eco72I, Hinf I) was performed based on sequence difference of mitochondrial DNA cytochrome c oxidase subunit I (COI) gene. As a result, species-specific DNA band patterns by RsaI endonuclease were observed in H. schachtii. The specific patterns was in H. trifolii by 3 endonucleases (VspI, AlwI, Hinf I), and was in H. glycines by Hinf I. While, H. sojae was not digested by 4 endonuclease (VspI, AlwI, RsaI, Hinf I). This study showed that four cyst nematodes could be distinguished using RFLP by 4 endonucleases (RsaI, VspI, AlwI, Hinf I) based on the sequence difference of COI gene.

Cadmium-Induced Phytotoxicity in Tomato Seedlings Due to the Accumulation of H2O2 That Results from the Reduced Activities of H2O2 Detoxifying Enzymes

  • Cho, Un-Haing
    • The Korean Journal of Ecology
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    • v.27 no.2
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    • pp.107-114
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    • 2004
  • Tomato (Lycopersicon esculentum) seedlings exposed to various concentrations of $CdC1_2$ (0∼100 $\mu$M) in the nutrient solution for up to 9 days were analyzed with the seedling growth, $H_2O_2$ production, glutathione levels and activity changes of enzymes related to $H_2O_2$ removal. The growth of seedlings was inhibited with over 50 $\mu$M Cd, whereas the levels of $H_2O_2$ and glutathione were enhanced with Cd exposure level and time. Meanwhile, Cd exposure increased the activities of catalase (CAT) and glutathione reductase (GR) but decreased the activities of dehydroascorbate acid reductase (DHAR) and ascorbate peroxidase (APX) in both leaves and roots. These results suggest that the altered activities of antioxidant enzymes particularly involved in the $H_2O_2$ removal and the subsequent $H_2O$$_2$ accumulation could induce the Cd-induced phytotoxicity.

Experimental Study on Improving Compressive Strength of Hexagonal Boron Nitride Reinforced Cement Composite (Hexagonal-Boron Nitride 강화 시멘트 복합체의 압축강도 향상에 대한 실험적 연구)

  • Choi, Yomin;Shin, Hyun-Gyoo
    • Journal of Powder Materials
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    • v.27 no.6
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    • pp.503-508
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    • 2020
  • The mechanical properties and microstructures of hexagonal boron nitride (h-BN)-reinforced cement composites are experimentally studied for three and seven curing days. Various sizes (5, 10, and 18 ㎛) and concentrations (0.1%, 0.25%, 0.5%, and 1.0%) of h-BN are dispersed by the tip ultrasonication method in water and incorporated into the cement composite. The compressive strength of the h-BN reinforced cements increases by 40.9%, when 0.5 wt% of 18 ㎛-sized h-BN is added. However, the compressive strength decreases when the 1.0 wt% cement composite is added, owing to the aggregation of the h-BNs in the cement composite. The microstructural characterization of the h-BN-reinforced cement composite indicates that the h-BNs act as bridges connecting the cracks, resulting in improved mechanical properties for the reinforced cement composite.

Perchlorate Removal by Perchlorate Reducing Bacteria Consortium in a Continuous Bioreactor (연속생물반응기에서 perchlorate 환원 세균에 의한 perchlorate의 제거)

  • Ryu, Hee-Wook
    • KSBB Journal
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    • v.27 no.1
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    • pp.28-32
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    • 2012
  • In this study, the treatment ability of the wastewater containing perchlorate by non-salt tolerant perchlorate reducing bacterial consortium (N-PRBC) was evaluated in a continuous stirred tank bioreactor (CSTR). To obtain the optimal operating condition the bioreactor was operated with the different wastewater empty bed retention time (EBRT). The treatment performance in the bioreactor could be maintained at 100 $mg-ClO_4{^-}L^{-1}$ up to a EBRT of 3 h, and the removal capacity in the CSTR was about 3.3 times higher than that in a batch operation. With a decrease from 9 h to 2 h in a EBRT, the volumetric perchlorate reduction rate was increased from 11.1 $mg-ClO_4{^-}L^{-1}h^{-1}$ to 50.0 $mg-ClO_4{^-}L^{-1}h^{-1}$, and the specific perchlorate reduction rates were increased from 3.01 $mg-ClO_4{^-}g-DCW^{-1}h^{-1}$. In conclusion, the treatment capacities in a CSTR were much better than those obtained in a batch operation.