• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.601-610
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• 2013

In [3] and [2], Atanassov introduced the two arithmetic functions $$I(n)=\prod_{p^{\alpha}{\parallel}n}\;p^{1/{\alpha}}\;and\;R(n)=\prod_{p^{\alpha}{\parallel}n}\;p^{{\alpha}-1}$$ called the irrational factor and the restrictive factor, respectively. Alkan, Ledoan, Panaitopol, and the authors explore properties of these arithmetic functions in [1], [7], [8] and [9]. In the present paper, we generalize these functions to a larger class of elements of $PSL_2(\mathbb{Z})$, and explore some of the properties of these maps.

• Bulletin of the Korean Mathematical Society
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• v.51 no.2
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• pp.443-455
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• 2014

Atanassov introduced the irrational factor function and the strong restrictive factor function, which he defined as $I(n)=\displaystyle\prod_{p^{\alpha}||n}^{}p^{1/{\alpha}}$ and $R(n)=\displaystyle\prod_{p^{\alpha}||n}^{}p^{{\alpha}-1}$ in [2] and [3]. Various properties of these functions have been investigated by Alkan, Ledoan, Panaitopol, and the authors. In the prequel, we expanded these functions to a class of elements of $PSL_2(\mathbb{Z})$, and studied some of the properties of these maps. In the present paper we generalize the previous work by introducing real moments and considering a larger class of maps. This allows us to explore new properties of these arithmetic functions.

• Kyungpook Mathematical Journal
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• v.50 no.1
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• pp.1-5
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• 2010

Let P be a prime ideal of a commutative unital ring R; X an indeterminate; D := R/P; L the quotient field of D; F an algebraic closure of L; ${\alpha}$ ${\in}$ L[X] a monic irreducible polynomial; ${\xi}$ any root of in F; and Q = ${\alpha}$>, the upper to P with respect to ${\alpha}$. Then R[X]/Q is R-algebra isomorphic to $D[{\xi}]$; and is R-isomorphic to an overring of D if and only if deg(${\alpha}$) = 1.

• Asian Pacific Journal of Cancer Prevention
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• v.14 no.6
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• pp.3613-3618
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• 2013

Object: To detect expression of hypoxia inducible factor-$1{\alpha}$ (HIF-$1{\alpha}$) and lysyl oxidase (LOX) in non-small cell lung cancer (NSCLC) and explore their roles in prognosis. Methods: The mRNA levels of HIF-$1{\alpha}$ and LOX were investigated by real-time reverse-transcriptase polymerase chain reaction in 40 cases of tumour and paired normal tissues. In addition, protein expression of HIF-$1{\alpha}$ and LOX was examined by immunohistochemistry in 82 cases of tumour and 45 paired normal tissues. The relationship between HIF-$1{\alpha}$ or LOX and clinicopathologic characteristics, as well as the correlation between HIF-$1{\alpha}$ and LOX, were also examined. Kaplan-Meier survival curves and the log-rank test were used to analyze progression-free survival. Results: HIF-$1{\alpha}$ or LOX mRNA levels in tumor tissues was significantly higher than those in paired normal tissues (p<0.01). Positive HIF-$1{\alpha}$ or LOX protein expression in tumor tissues was noted in 46/82 (56.1%) and 49/82 (59.8%) of the cases, respectively, being significantly higher than those in paired normal tissues (p<0.05). There was significant correlation between the expression of HIF-$1{\alpha}$ or LOX and tumor size, lymph node metastasis and pathological stage (p<0.05). The expression of HIF-$1{\alpha}$ and LOX had a significant inverse impact on survival of patients with NSCLC. Conclusion: HIF-$1{\alpha}$ and LOX may play a pivotal role in the development of NSCLC, and may act in synergy to promote the progression of NSCLC.

• Nutrition Research and Practice
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• v.13 no.4
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• pp.286-294
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• 2019

BACKGROUND/OBJECTIVES: Docosahexaenoic acid (DHA), an n-3 long chain polyunsaturated fatty acid (LCPUFA), is acquired by dietary intake or the in vivo conversion of ${\alpha}$-linolenic acid. Many enzymes participating in LCPUFA synthesis are regulated by peroxisome proliferator-activated receptor alpha ($PPAR{\alpha}$). Therefore, it was hypothesized that the tissue accretion of endogenously synthesized DHA could be modified by $PPAR{\alpha}$. MATERIALS/METHODS: The tissue DHA concentrations and mRNA levels of genes participating in DHA biosynthesis were compared among $PPAR{\alpha}$ homozygous (KO), heterozygous (HZ), and wild type (WT) mice (Exp I), and between WT mice treated with clofibrate ($PPAR{\alpha}$ agonist) or those not treated (Exp II). In ExpII, the expression levels of the proteins associated with DHA function in the brain cortex and retina were also measured. An n3-PUFA depleted/replenished regimen was applied to mitigate the confounding effects of maternal DHA. RESULTS: $PPAR{\alpha}$ ablation reduced the hepatic Acox, Fads1, and Fads2 mRNA levels, as well as the DHA concentration in the liver, but not in the brain cortex. In contrast, $PPAR{\alpha}$ activation increased hepatic Acox, Fads1, Fads2, and Elovl5 mRNA levels, but reduced the DHA concentrations in the liver, retina, and phospholipid of brain cortex, and decreased mRNA and protein levels of the brain-derived neurotrophic factor in brain cortex. CONCLUSIONS: LCPUFA enzyme expression was altered by $PPAR{\alpha}$. Either $PPAR{\alpha}$ deficiency or activation-decreased tissue DHA concentration is a stimulus for further studies to determine the functional significance.

• Biomolecules & Therapeutics
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• v.23 no.2
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• pp.110-118
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• 2015

According to the expansion of lifespan, neuronal disorder based on inflammation has been social problem. Therefore, we isolated shikonin from Lithospermum erythrorhizon and evaluated anti-inflammatory effects of shikonin in lipopolysaccharide (LSP)-stimulated BV2 microglial cells. Shikonin dose-dependently inhibits the expression of the proinflammatory mediators, nitric oxide (NO), prostaglandin $E_2$ ($PGE_2$), and tumor necrosis factor-${\kappa}B$ (TNF-${\alpha}$) as well as their main regulatory genes and products such as inducible NO synthase (iNOS), cyclooxygenase-2 (COX-2), and TNF-${\alpha}$ in LPS-stimulated BV2 microglial cells. Additionally, shikonin suppressed the LPS-induced DNA-binding activity of nuclear factor-${\kappa}B$ (NF-${\kappa}B$) to regulate the key regulatory genes of the proinflammatory mediators, such as iNOS, COX-2, and TNF-${\alpha}$, accompanied with downregulation of reactive oxygen species (ROS) generation. The results indicate that shikonin may downregulate the expression of proinflammatory genes involved in the synthesis of NO, $PGE_2$, and TNF-${\alpha}$ in LPS-treated BV2 microglial cells by suppressing ROS and NF-${\kappa}B$. Taken together, our results revealed that shikonin exerts downregulation of proinflammatory mediators by interference the ROS and NF-${\kappa}B$ signaling pathway.

• Advances in Traditional Medicine
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• v.9 no.2
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• pp.164-173
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• 2009

The anti-inflammatory effect of Spirulina fusiformis on monosodium urate crystal-induced inflammation in mice has been investigated and compared with the non-steroidal anti-inflammatory drug Indomethacin. The paw volume, lysosomal enzyme activities, lipid peroxidation, anti-oxidant status and inflammatory mediator tumour necrosis factor-$\alpha$ were studied in control and monosodium urate crystal-induced mice after oral administration of Spirulina platensis in an experimental model for gouty arthritis. In the induced mice, the levels of lysosomal enzymes, inflammatory mediator tumour necrosis factor-$\alpha$, lipid peroxidation and the paw volume increased significantly, whereas the antioxidant status decreased when compared to control mice. $\beta$-glucuronidase and lactate dehydrogenase level were also found to be increased in untreated monosodium urate crystal-incubated polymorphonuclear leucocytes. After the oral administration of Spirulina fusiformis, the physical and biochemical changes observed in monosodium urate crystal-induced animals were significantly restored to near normal levels. The results clearly indicated the anti-inflammatory role of Spirulina fusiformis, a promising drug for gouty arthritis.

• Journal of Oriental Neuropsychiatry
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• v.10 no.1
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• pp.109-119
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• 1999

We investigated whether an aqueous extract of Chong-Myung-Tang inhibits secretion of tumor necrosis $factor-{\alpha}$ $(TNF-{\alpha})$ from primary cultures of mouse astrocytes. Chong-Myung-Tang dosedependently inhibited the $TNF-{\alpha}$ secretion by astrocytes stimulated with substance P (SP) and lipopolysaccharide (LPS). Interleukin-1 (IL-1) has been shown to elevate $TNF-{\alpha}$ secretion from LPS-stimulated astrocytes while having no effect on astrocytes in the absence of LPS. We therefore investigated whether IL-1 mediated inhibition of $TNF-{\alpha}$ secretion from astrocytes by Chong-Myung-Tang. Treatment of Chong-Myung-Tang to astrocytes stimulated with both LPS and SP decreased IL-1 secretion. Moreover, incubation of astrocytes with IL-1 antibody abolished the synergistic cooperative effect of LPS and SP. These results suggest that Chong-Myung-Tang may inhibits $TNF-{\alpha}$ secretion by inhibiting IL-1 secretion and that Chong-Myung-Tang has a antiinflammatory activity in the central nervous system.

• Tuberculosis and Respiratory Diseases
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• v.70 no.3
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• pp.218-223
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• 2011

Background: We investigated whether curcumin and genistein affect the MUC5AC mucin production from human airway epithelial cells that is induced by phorbol 12-myristate 13-acetate (PMA) or tumor necrosis factor-${\alpha}$ (TNF-${\alpha}$). Methods: Confluent NCI-H292 cells were pretreated with each agent for 30 min and then stimulated with PMA or TNF-${\alpha}$ for 24 hours. MUC5AC mucin production was measured by an ELISA. Results: (1) Curcumin dose-dependently inhibited the production of MUC5AC mucin that was induced by PMA or TNF-${\alpha}$; (2) Genistein inhibited PMA-induced MUC5AC mucin production. However, it did not decrease TNF-${\alpha}$-induced MUC5AC mucin production. Conclusion: These results suggest that curcumin and genistein inhibit the production of airway mucin induced by PMA.

• Tuberculosis and Respiratory Diseases
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• v.69 no.5
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• pp.348-353
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• 2010

Background: In this study, we tried to investigate whether carbenoxolone, prunetin, and silibinin affect tumor necrosis factor (TNF)-${\alpha}$-induced MUC5AC mucin production and gene expression from human airway epithelial cells. Methods: Confluent NCI-H292 cells were pretreated with each agent (carbenoxolone, prunetin, and silibinin) for 30 min and then stimulated with TNF-${\alpha}$ for 24 hours. The MUC5AC mucin gene expression and mucin protein production were measured by reverse transcription-polymerase chain reaction and enzyme linked immunosorbent assay, respectively. Results: Carbenoxolone, prunetin and silibinin inhibited the production of MUC5AC mucin protein induced by TNF-${\alpha}$; the 3 compounds also inhibited the expression of MUC5AC mucin gene induced by TNF-${\alpha}$. Conclusion: This result suggests that carbenoxolone, prunetin and silibinin can inhibit mucin gene expression and production of mucin protein induced by TNF-${\alpha}$, by directly acting on airway epithelial cells.