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FUNCTIONAL EQUATIONS ASSOCIATED WITH INNER PRODUCT SPACES

  • Park, Choonkil;Huh, Jae Sung;Min, Won June;Nam, Dong Hoon;Roh, Seung Hyeon
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.4
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    • pp.455-466
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    • 2008
  • In, [7], Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed integer $n{\geq}2$ $$n{\left\|{\frac{1}{n}}{\sum\limits_{i=1}^{n}}x_i{\left\|^2+{\sum\limits_{i=1}^{n}}\right\|}{x_i-{\frac{1}{n}}{\sum\limits_{j=1}^{n}x_j}}\right\|^2}={\sum\limits_{i=1}^{n}}{\parallel}x_i{\parallel}^2$$ holds for all $x_1,{\cdots},x_{n}{\in}V$. Let V,W be real vector spaces. It is shown that if a mapping $f:V{\rightarrow}W$ satisfies $$(0.1){\hspace{10}}nf{\left({\frac{1}{n}}{\sum\limits_{i=1}^{n}}x_i \right)}+{\sum\limits_{i=1}^{n}}f{\left({x_i-{\frac{1}{n}}{\sum\limits_{j=1}^{n}}x_i}\right)}\\{\hspace{140}}={\sum\limits_{i=1}^{n}}f(x_i)$$ for all $x_1$, ${\dots}$, $x_{n}{\in}V$ $$(0.2){\hspace{10}}2f\(\frac{x+y}{2}\)+f\(\frac{x-y}{2} \)+f\(\frac{y}{2}-x\)\\{\hspace{185}}=f(x)+f(y)$$ for all $x,y{\in}V$. Furthermore, we prove the generalized Hyers-Ulam stability of the functional equation (0.2) in real Banach spaces.

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The Effect of Bangpungtongsungsan on Allergic Rhinitis Of Obese Mouse Fed High Fat Diet. (고지방식이로 비만을 유발한 마우스의 알레르기 비염에 대한 방풍통성산(防風通聖散)의 효과)

  • Kim, Dong-Hyun;Hong, Seung-Ug
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.29 no.1
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    • pp.1-15
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    • 2016
  • Objective : For various reasons, Obesity & Rhinitis are constantly rising. So Interest of treatment has been expanding. We want to verify The Chungyeol (fire extinguishing) Lisup (Draining) effect of Bangpungtongsungsan on obese model of allergy rhinitis.Material and Methods : BALB/c mouse were divided four groups: control(CON), allergic induction(ARE), Bangpungtongsungsan extract administration(BTT), Bangpungtongsungsan double concentration extract administration (BT2T). Every group except control group were caused allergic rhinitis by Ovalbumin. BTT & BT2T were orally administered the Bangpungtongsungsan for 21days. Since then we observed the liver tissue cell and the nasal mucous membrane.Results : In comparison with ARE, experimental groups show relief of the nasal mucous membrane damage(secretion of mucus decrease, Itching decrease), Th2 eruption control(IL-4 decline), effect of anti-inflamatory(reducing TNF-α creation, decreasing of iNOS through NF-κB activation-inhibition). In addition, experimental groups show a loss in weight, diminished accumulation of fat. (decreasing within liver tissue, reducing TNF-α creation) BT2T is more effective to BTT.Conclusion : Bangpungtongsungsan treat obese model on allergy rhinitis thereby control fat augmentation, relieving inflammation.

Protective Effects of a Novel Probiotic Strain of Lactobacillus plantarum JSA22 from Traditional Fermented Soybean Food Against Infection by Salmonella enterica Serovar Typhimurium

  • Eom, Jeong Seon;Song, Jin;Choi, Hye Sun
    • Journal of Microbiology and Biotechnology
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    • v.25 no.4
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    • pp.479-491
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    • 2015
  • Lactobacillus species have been shown to enhance intestinal epithelial barrier function, modulate host immune responses, and suppress the growth of pathogenic bacteria, yeasts, molds, and viruses. Thus, lactobacilli have been used as probiotics for treating various diseases, including intestinal disorders, and as biological preservatives in the food and agricultural industries. However, the molecular mechanisms used by lactobacilli to suppress pathogenic bacterial infections have been poorly characterized. We previously isolated Lactobacillus plantarum JSA22 from buckwheat sokseongjang, a traditional Korean fermented soybean food, which possessed high enzymatic, fibrinolytic, and broad-spectrum antimicrobial activity against foodborne pathogens. In this study, we investigated the effects of L. plantarum JSA22 on the growth of S. Typhimurium and S. Typhimurium-induced cytotoxicity by stimulating the host immune response in intestinal epithelial cells. The results showed that coincubation of S. Typhimurium and L. plantarum JSA22 with intestinal epithelial cells suppressed S. Typhimurium infection, S. Typhimurium-induced NF-κB activation, and IL-8 production, and lowered the phosphorylation of both Akt and p38. These data indicated that L. plantarum JSA22 has probiotic properties, and can inhibit S. Typhimurium infection of intestinal epithelial cells. Our findings can be used to develop therapeutic and prophylactic agents against pathogenic bacteria.

Inhibitory Effect of Bee Venom Toxin on Lung Cancer NCI H460 Cells Growth Through Induction of Apoptosis via Death Receptor Expressions

  • Hur, Keun Young;Song, Ho Sueb
    • Journal of Acupuncture Research
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    • v.31 no.1
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    • pp.121-130
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    • 2014
  • Objectives : I investigated whether bee venom inhibit cell growth through enhancement of death receptor expressions in the human lung cancer cells, NCI-H460. Methods : Bee venom(1-5 ${\mu}g/ml$) inhibited the growth of NCI-H460 lung cancer cells by the induction of apoptotic cell death in a dose dependent manner. Results : Consistent with apoptotic cell death, expression of TNF-R1, TNF-R2, FAS, death receptors(DR) 3, 4, 5 and 6 was increased in the cells. Expression of DR downstream pro-apoptotic proteins including Caspase-8, -3, -9 was upregulated and Bax was concomitantly overwhelmed the expression of Bcl-2. NF-kB were inhibited by treatment with bee venom in NCI-H460 cells through TNF response change led by TNF-R1 and TNF-R2. Conclusions : These results suggest that bee venom should exert anti-tumor effect through induction of apoptotic cell death in NCI-H460 human lung cancer cells via enhancement of death receptor expression, and that bee venom could be a promising agent for preventing and treating lung cancer.

Nitric oxide production and inducible nitric oxide synthase expression induced by Porphyromonas gingivalis lipopolysaccharide (Porphyromonas gingivalis의 세균내독소가 RAW264.7세포에서의 nitric oxide의 생성과 inducible nitric oxide synthase의 발현에 미치는 영향 및 기전)

  • Paek, Eun-Young;Choi, Eun-Young;Choi, Jeom-II;Lee, Ju-Yun;Kim, Sung-Jo
    • Journal of Periodontal and Implant Science
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    • v.35 no.4
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    • pp.1081-1095
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    • 2005
  • 본 연구는 치주질환 주요 병인균주 중의 하나인 Porphyromonas gingivalis의 세균내독소가 마우스 대식 세포주인 RAW264.7 세포에서의 nitric oxide의 생성과 iNOS의 발현에 미치는 영향을 분석하고 그 기전을 규명하기 위해 수행되었다. Butanol추출법과 phenol-water법에 의해 P. gingivalis 381로부터 세균내독소를 추출하였으며, NO의 생성은 배양 상층액 내의 nitrite 농도를 측정하여 결정하였다. 또한, iNOS의 western blot 분석과 reverse transcription (RT)-PCR 산물의 분석을 수행하였다. P. gingivalis의 세균내독소는 부가적인 자극이 없는 상태에서도 iNOS의 발현과 NO 생성을 유발하였으며, NF- ${\kappa}B$, microtubule polymerization, protein tyrosine kinase, 그리고 protein kinase C 등이 P. gingivalis 세균내독소에 의한 NO 생성에 간여하는 것으로 여겨진다. 또한, P. gingivalis 세균내독소에 의한 NO 생성에는 L-arginine이 요구되었다. P. gingivalis 세균내독소에 의한 NO 생성은 염증성 치주질환의 발병과 진행에 있어 중요한 역할을 하는 것으로 여겨진다.

The Molecular Mechanism of Baicalin on RANKL-induced Osteoclastogenesis in RAW264.7 Cells

  • Ko, Seon-Yle
    • International Journal of Oral Biology
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    • v.38 no.2
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    • pp.67-72
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    • 2013
  • This study examined the anti-osteoclastogenic effects of baicalin on receptor activator of NF-${\kappa}$B ligand (RANKL)-induced RAW264.7 cells. Baicalin is a flavonoid that is produced by Scutellaria baicalensis and is known to have multiple biological properties, including antibacterial, anti-inflammatory and analgesic effects. The effects of baicalin on osteoclasts were examined by measuring 1) cell viability; 2) the formation of tartrate-resistant acid phosphatase (TRAP) (+) multinucleated cells; 3) RANK/RANKL signaling pathways and 4) mRNA levels of osteoclast-associated genes. Baicalin inhibited the formation of RANKL-stimulated TRAP (+) multinucleated cells and also suppressed the RANKL-stimulated activation of p-38, ERK, cSrc and AKT signaling. Baicalin also inhibited the RANKL-stimulated degradation of $I{\kappa}B$ in RAW264.7 cells. In addition, the RANKL-stimulated induction of NFATc1 transcription factors was found to be abrogated by this flavonoid. Baicalin was further found to decrease the mRNA expression of osteoclast-associated genes, including carbonic anhydrase II, TRAP and cathepsin K in the RAW264.7 cells. Our data thus demonstrate that baicalin inhibits osteoclastogenesis by inhibiting the RANKL-induced activation of signaling molecules and transcription factors in osteoclast precursors.

A CMOS Impulse Radio Ultra-Wideband Receiver for Inner/Inter-chip Wireless Interconnection

  • Nguyen, Chi Nhan;Duong, Hoai Nghia;Dinh, Van Anh
    • Journal of IKEEE
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    • v.17 no.2
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    • pp.176-181
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    • 2013
  • This paper presents a CMOS impulse radio ultra-wideband (IR-UWB) receiver implemented using IBM 0.13um CMOS technology for inner/inter-chip wireless interconnection. The IR-UWB receiver is based on the non-coherent architecture which removes the complexity of RF architecture (such as DLL or PLL) and reduces power consumption. The receiver consists of three blocks: a low noise amplifier (LNA) with active balun, a correlator, and a comparator. Simulation results show the die area of the IR-UWB receiver of 0.2mm2, a power gain (S21) of 12.5dB, a noise figure (NF) of 3.05dB, an input return loss (S11) of less than -16.5dB, a conversion gain of 18dB, a NFDSB of 22. The receiver exhibits a third order intercept point (IIP3) of -1.3dBm and consumes 22.9mW of power on the 1.4V power supply.

Square and Cube Root Algorithms in Finite Field and Their Applications (유한체상의 제곱근과 세제곱근을 찾는 알고리즘과 그 응용)

  • Cho, Gook Hwa;Ha, Eunhye;Koo, Namhun;Kwon, Soonhak
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37A no.12
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    • pp.1031-1037
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    • 2012
  • We study an algorithm that can efficiently find square roots and cube roots by modifying Tonelli-Shanks algorithm, which has an application in Number Field Sieve (NFS). The Number Field Sieve, the fastest known factoring algorithm, is a powerful tool for factoring very large integer. NFS first chooses two polynomials having common root modulo N, and it consists of the following four major steps; 1. Polynomial Selection 2. Sieving 3. Matrix 4. Square Root. The last step of NFS needs the process of square root computation in Number Field, which can be computed via square root algorithm over finite field.

Anti-osteoporotic and Antioxidant Activities by Rhizomes of Kaempferia parviflora Wall. ex Baker

  • Nguyen, Phuong Thao;Bui, Thi Thuy Luyen;Lee, Sang Hyun;Jang, Hae Dong;Kim, Young Ho
    • Natural Product Sciences
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    • v.22 no.1
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    • pp.13-19
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    • 2016
  • In this report, we investigated the antioxidant (peroxyl radical-scavenging and reducing capacities) and anti-osteoporotic activities of extracts and isolated constituents (1 - 16) from the rhizomes of Kaempferia parviflora Wall. ex Baker on pre-osteoclastic RAW 264.7 cells. Compound 5 exhibited significant peroxyl radical-scavenging capacity, with TE value of $8.47{\pm}0.52{\mu}M$, while compound 13 showed significant reducing capacity, with CUPRAC value of $5.66{\pm}0.26{\mu}M$, at $10.0{\mu}M$. In addition, flavonoid compounds 2, 4, 6, 8, 10, 12, and terpene compound 15 showed significant inhibition of tartrate-resistant acid phosphatase (TRAP) in NF-${\kappa}B$ ligand-induced osteoclastic RAW 264.7 cells, with values ranging from $16.97{\pm}1.02$ to $64.67{\pm}2.76%$. These results indicated that K. parviflora could be excellent sources for the antioxidant and anti-osteoporotic traditional medicinal plants.

Study on the Mechanism of Radiation-induced MCP-1 Expression in RAW264.7 Macrophage Cells (RAW264.7 대식세포에서 방사선에 의한 MCP-1 발현 기작 연구)

  • Jin, Chang Hyun;Park, Yong Dae;Choi, Dae Seong;Jeong, Il Yun
    • Journal of Radiation Industry
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    • v.4 no.3
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    • pp.227-231
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    • 2010
  • The purpose of this study was to investigate the expression mechanism of MCP-1 in gamma-irradiated RAW 264.7 macrophage cells. MCP-1 plays an important role in attracting monocyte to injured site at the early inflammation stage. However the production mechanism of MCP-1 by gamma-irradiation in RAW 264.7 macrophage cells was almost undiscovered. We found that MCP-1 was produced in RAW 264.7 macrophage cells by irradiation with 5 Gy. And these inceases were attenuated by specific inhibitors treatment, such as $NF-{\kappa}B$, JNK, ERK, JAK2, and Pyk2. These results indicate that radiation-induced MCP-1 production is mediated by MyD88- and TRIF-dependent pathways in RAW 264.7 macrophage cells. Furthermore, gamma-irradiation induced heme oxygenase-1 (HO-1) expression in RAW 264.7 macrophage cells. However this induction level was reduced before MCP-1 and $IFN-{\beta}$ production.