• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1211-1220
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• 2009

In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian $({\phi}_p(u'))'$(t)+q(t)f(t,u(t),u'(t))=0, t $\in$ (0, 1), subject to the boundary conditions: $u(0)=\sum\limits_{i=1}^{n-2}{\alpha}_iu({\xi}_i),\;u(1)=\sum\limits_{i=1}^{n-2}{\beta}_iu({\xi}_i)$ where $\phi_p$(s) = $|s|^{n-2}s$, p > 1, $\xi_i$ $\in$ (0, 1) with 0 < $\xi_1$ < $\xi_2$ < $\cdots$ < $\xi{n-2}$ < 1 and ${\alpha}_i,\beta_i{\in}[0,1)$, 0< $\sum{\array}{{n=2}\\{i=1}}{\alpha}_i,\sum{\array}{{n=2}\\{i=1}}{\beta}_i$<1. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

• Journal of the Korean Mathematical Society
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• v.45 no.2
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• pp.435-453
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• 2008

In this paper, by using q-deformed bosonic p-adic integral, we give $\lambda$-Bernoulli numbers and polynomials, we prove Witt's type formula of $\lambda$-Bernoulli polynomials and Gauss multiplicative formula for $\lambda$-Bernoulli polynomials. By using derivative operator to the generating functions of $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, we give Hurwitz type $\lambda$-zeta functions and Dirichlet's type $\lambda$-L-functions; which are interpolated $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, respectively. We give generating function of $\lambda$-Bernoulli numbers with order r. By using Mellin transforms to their function, we prove relations between multiply zeta function and $\lambda$-Bernoulli polynomials and ordinary Bernoulli numbers of order r and $\lambda$-Bernoulli numbers, respectively. We also study on $\lambda$-Bernoulli numbers and polynomials in the space of locally constant. Moreover, we define $\lambda$-partial zeta function and interpolation function.

• 한국HCI학회:학술대회논문집
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• 2007.02a
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• pp.103-108
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• 2007

최근 프로젝터의 보편화로 인해 프로젝터를 증강현실의 디스플레이 장치로 활용하는 연구가 활발히 진행되고 있다. 관련 연구들을 흔히 프로젝션 기반 증강현실이라고 부른다. 프로젝션 기반 증강현실을 구현하기 위해서는 스크린의 기하(geometry) 및 컬러(photometry) 정보를 획득하는 과정이 선행되어야 하는데, 이는 프로젝터를 이용하여 정해진 패턴 영상을 투사하고 이를 카메라로 캡쳐한 후, 카메라 영상에 다양한 컴퓨터비전 기술들을 적용함으로써 행해진다. 이러한 스크린 기하 및 컬러 정보 획득 기술은 가시적인(visible) 패턴 영상이 사용자의 몰입감을 저해한다는 단점을 가진다. 특히, 스크린의 기하 및 컬러 정보가 수시로 변하는 환경에서는 가시적인 패턴 영상을 사용하는 기존의 스크린 기하 및 컬러 정보 획득 기술은 유용하지 못하다. 이러한 문제점을 해결하기 위해 일부 패턴 영상을 비가시적(invisible)으로 만드는 기술들이 제안되었다. 본 논문에서는 관련 기술들을 비간섭 프로젝션 기반 증강현실이라고 한다. 특히, 보색 패턴(complementary patterns)을 증강현실 영상에 삽입하는 방법은 부가적인 장비없이 간단한 영상처리만으로 효과적으로 패턴 영상을 비가시적으로 만들어 줄 수 있으며, 최근 가상 스튜디오에 활용하는 방안이 모색되고 있다. 그러나, 삽입된 보색 패턴의 세기와 비가시성 사이는 상반관계(trade-off)를 가지므로, 일반적인 환경에서는 보색 패턴의 비가시성을 보장할 수 없다. 본 논문에서는 이러한 보색 패턴의 비가시성을 극대화하기 위해 컨텐츠 적응형 패턴 삽입 기술을 제안한다. 증강현실 영상의 색감 및 텍스처의 복잡도에 따라 크게 4 가지 경우로 분류하여 부분적으로 다른 채널 및 세기로 보색 패턴을 삽입한다. YIQ 컬러 공간에서 표현된 증강현실 영상을 균일한 크기의 영역으로 나눈 다음, 각 영역에 대해 I 성분이 지배적이면 Q 채널에 패턴을 삽입하고 Q 성분이 지배적이면 I 채널에 패턴을 삽입한다. 한편, 각 영역에 대해 텍스처의 복잡도가 크다면 강한 패턴을, 복잡도가 작으면 약한 패턴을 삽입한다. 여기서, 텍스처의 복잡도는 간단한 미분 필터(derivative filter)를 이용하여 계산된다. 다양한 실험 및 사용자 평가를 통해, 제안된 방법은 기존 방법에 비해 크게 두 가지 상반관계를 가지는 장점을 가짐을 확인하였다. 스크린의 기하 및 컬러 정보를 획득하는 성능 면에서 제안된 방법이 기존의 방법과 유사하도록 채널 및 패턴의 세기를 결정한다면, 기존의 방법에 비해 패턴의 비가시성이 크게 개선된다. 반대로, 제안된 방법의 패턴의 비가시성이 기존의 방법과 유사하도록 채널 및 패턴의 세기를 결정한다면, 기존의 방법에 비해 스크린의 기하 및 컬러 정보를 획득하는 성능이 크게 개선된다.

• The Korean Journal of Pesticide Science
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• v.9 no.4
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• pp.279-286
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• 2005

The herbicidal activities against pre-emergence barnyard grass (Echinochloa crus-galli) by a series of new 2-(4-(6-chloro-2-benzoxazolyloxy)phenoxy)-N-phenylpopionamide derivatives as substrate molecule were studied using molecular holographic (H) quantitative structure activity relationships (HQSAR) methodology. From the based on the findings, the higher herbicidal active compounds are predicted by the derived HQSAR model. The best HQSAR model (VI-1) was derived from fragment distinction combination of atoms/bonds in fragment size, $7{\sim}10$bin. The herbicidal activities from atomic contribution maps showed that the activity will be able to increased according to the R-substituents variation of the N-phenyl ring and change of 6-chloro-2-benzoxazolyloxy group. Based on the results, the statistical results of the best HQSAR model (VI-1) exhibited the best pedictability and fitness for the herbicidal activities based on the cross-validated value ($q^2=0.646$) and non cross-validated value ($r^2_{ncv.}=0.917$), respectively. From the graphical analyses of atomic contribution maps, it was revealed that the lowest herbicidal activitics depends upon the 4-(6-chloro-2-benzoxazolyloxy)phenoxy group ($pred.pI_{50}=-3.20$). Particularly, the R=4-fluoro, X=isobutoxy substituent (P2) of (X)-phenoxy-N-(R)-phenylpropionamide derivative is predicted as the highest active compound ($pred.pI_{50}=9.12$).

• Bulletin of the Korean Chemical Society
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• v.32 no.4
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• pp.1158-1164
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• 2011

5-Methoxy-N,N-diisopropyltryptamine (5-MeO-DIPT), a psychoactive tryptamine derivative, is a hallucinogenic drug of abuse. In this study, 5-OH-DIPT and its metabolites were identified and the quantitative method was developed and validated by using hydrophilic interaction chromatography-tandem mass spectrometry (HILICMS/MS). Chromatographic separation was achieved on an Atlantis HILIC silica column ($5{\mu}m$, $100{\times}2.1\;mm$). The metabolites of 5-MeO-DIPT in rat urine were characterized via Q1 scanning and product ion scanning. As a consequence, 5-MeO-IPT, 5-OH-DIPT, 6-OH-5-MeO-DIPT and their glucuronide conjugates were detected and identified as the metabolites of 5-MeO-DIPT. Subsequently, a quantitative method for 5-MeO-DIPT and its major metabolites, 5-MeO-IPT and 5-OH-DIPT, was developed in multiple reactions monitoring (MRM) mode. The calibration curves for all analytes evidenced good linearity over the concentration range of 1-1000 ng/mL with linear correlation co-efficients ($r^2$) in excess of 0.99. The intra- and inter-day accuracy and precision were 92.2-110.2% and 1.5-9.9%, respectively.

• Smart Structures and Systems
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• v.21 no.3
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• pp.279-286
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• 2018

The free longitudinal vibration of a circular truncated nanocone is investigated based on the nonlocal elasticity theory. Exact analytical formulations for tapered nanostructures are derived and the nonlinear differential governing equation of motion is developed. The nonlocal small scale effect unavailable in classical continuum theory is addressed to reveal the long-range interaction of atoms implicated in nonlocal constitutive relation. Unlike most previous studies applying the truncation method to the infinite higher-order differential equation, this paper aims to consider all higher-order terms to show the overall nonlocality. The explicit solution of nonlocal stress for longitudinal deformation is determined and it is an infinite series incorporating the classical stress derived in classical mechanics of materials and the infinite higher-order derivative of longitudinal displacement. Subsequently, the first three modes natural frequencies are calculated numerically and the significant effects of nonlocal small scale and vertex angle on natural frequencies are examined. The coupling phenomenon of natural frequency is observed and it is induced by the combined effects of nonlocal small scale and vertex angle. The critical value of nonlocal small scale is defined, and after that a new proposal for determining the range of nonlocal small scale is put forward since the principle of choosing the nonlocal small scale is still unclear at present. Additionally, two different types of nonlocal effects, namely the nonlocal stiffness weakening and strengthening, reversed phenomena existing in nanostructures are observed and verified. Hence the opposite nonlocal effects are resolved again clearly. The nano-engineers dealing with a circular truncated nanocone-based sensors and oscillators may benefit from the present work.

• Journal of Ginseng Research
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• v.43 no.4
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• pp.625-634
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• 2019

Background: Ginsenoside Rg3, a derivative of steroidal saponins abundant in ginseng, has a range of effects on cancer cells, including anti-cell proliferation and anti-inflammation activity. Here, we investigate two long noncoding RNAs (lncRNAs), STXBP5-AS1 and RFX3-AS1, which are hypomethylated and hypermethylated in the promoter region by Rg3 in MCF-7 cancer cells. Methods: The lncRNAs epigenetically regulated by Rg3 were mined using methylation array analysis. The effect of the lncRNAs on the apoptosis and proliferation of MCF-7 cells was monitored in the presence of Rg3 or Korean Red Ginseng (KRG) extract after deregulating the lncRNAs. The expression of the lncRNAs and their target genes was examined using qPCR and Western blot analysis. The association between the expression of the target genes and the survival rate of breast cancer patients was analyzed using the Kaplan-Meier Plotter platform. Results: STXBP5-AS1 and RFX3-AS1 exhibited anti- and pro-proliferation effects, respectively, in the cancer cells, and the effects of Rg3 and KRG extract on apoptosis and cell proliferation were weakened after deregulating the lncRNAs. Of the genes located close to STXBP5-AS1 and RFX3-AS1 on the chromosome, STXBP5, GRM1, RFX3, and SLC1A1 were regulated by the lncRNAs on the RNA and protein level. Breast cancer patients that exhibited a higher expression of the target genes of the lncRNAs had a higher metastasis-free survival rate. Conclusion: The current study is the first to identify lncRNAs that are regulated by the presence of Rg3 and KRG extract and that subsequently contribute to inhibiting the proliferation of cancer cells.

• Journal of Microbiology and Biotechnology
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• v.31 no.6
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• pp.855-866
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• 2021

The effects of various carbon sources on mycelial growth and polysaccharide synthesis of the medicinal fungus Inonotus obliquus in liquid fermentation were investigated. After 12-d fermentation, mycelial biomass, polysaccharide yield, and polysaccharide content were significantly higher in Glc+Lac group (glucose and lactose used as combined carbon source) than in other groups. Crude polysaccharides (CIOPs) and the derivative neutral polysaccharides (NIOPs) were obtained from mycelia fermented using Glc, fructose (Fru), Lac, or Glc+Lac as carbon source. Molecular weights of four NIOPs (termed as NIOPG, NIOPF, NIOPL, and NIOPGL) were respectively 780.90, 1105.00, 25.32, and 10.28 kDa. Monosaccharide composition analyses revealed that NIOPs were composed of Glc, Man, and Gal at different molar ratios. The NIOPs were classified as α-type heteropolysaccharides with 1→2, 1→3, 1→4, 1→6 linkages in differing proportions. In in vitro cell proliferation assays, viability of RAW264.7 macrophages was more strongly enhanced by NIOPL or NIOPGL than by NIOPG or NIOPF, and proliferation of HeLa or S180 tumor cells was more strongly inhibited by NIOPG or NIOPGL than by NIOPF or NIOPL, indicating that immune-enhancing and anti-tumor activities of NIOPs were substantially affected by carbon source. qRT-PCR analysis revealed that expression levels of phosphoglucose isomerase (PGI) and UDP-Glc 4-epimerase (UGE), two key genes involved in polysaccharide synthesis, varied depending on carbon source. Our findings, taken together, clearly demonstrate that carbon source plays an essential role in determining structure and activities of I. obliquus polysaccharides by regulating expression of key genes in polysaccharide biosynthetic pathway.