• Title/Summary/Keyword: U.I.P

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TILINGS OF ORTHOGONAL POLYGONS WITH SIMILAR RECTANGLES OR TRIANGLES

  • SU ZHANJUN;DING REN
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.343-350
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    • 2005
  • In this paper we prove two results about tilings of orthogonal polygons. (1) P be an orthogonal polygon with rational vertex coordinates and let R(u) be a rectangle with side lengths u and 1. An orthogonal polygon P can be tiled with similar copies of R(u) if and only if u i algebraic and the real part of each of its conjugates is positive; (2) Laczkovich proved that if a triangle $\Delta$ tiles a rectangle then either $\Delta$ is a right triangle or the angles of $\Delta$ are rational multiples of $\pi$. We generalize the result of Laczkovich to orthogonal polygons.

SOLUTIONS OF HIGHER ORDER INHOMOGENEOUS PERIODIC EVOLUTIONARY PROCESS

  • Kim, Dohan;Miyazaki, Rinko;Naito, Toshiki;Shin, Jong Son
    • Journal of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.1853-1878
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    • 2017
  • Let $\{U(t,s)\}_{t{\geq}s}$ be a periodic evolutionary process with period ${\tau}$ > 0 on a Banach space X. Also, let L be the generator of the evolution semigroup associated with $\{U(t,s)\}_{t{\geq}s}$ on the phase space $P_{\tau}(X)$ of all ${\tau}$-periodic continuous X-valued functions. Some kind of variation-of-constants formula for the solution u of the equation $({\alpha}I-L)^nu=f$ will be given together with the conditions on $f{\in}P_{\tau}(X)$ for the existence of coefficients in the formula involving the monodromy operator $U(0,-{\tau})$. Also, examples of ODEs and PDEs are presented as its application.

Antimicrobial Activity of Bacteriophage Endolysin Produced in Nicotiana benthamiana Plants

  • Kovalskaya, Natalia;Foster-Frey, Juli;Donovan, David M.;Bauchan, Gary;Hammond, Rosemarie W.
    • Journal of Microbiology and Biotechnology
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    • v.26 no.1
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    • pp.160-170
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    • 2016
  • The increasing spread of antibiotic-resistant pathogens has raised the interest in alternative antimicrobial treatments. In our study, the functionally active gram-negative bacterium bacteriophage CP933 endolysin was produced in Nicotiana benthamiana plants by a combination of transient expression and vacuole targeting strategies, and its antimicrobial activity was investigated. Expression of the cp933 gene in E. coli led to growth inhibition and lysis of the host cells or production of trace amounts of CP933. Cytoplasmic expression of the cp933 gene in plants using Potato virus X-based transient expression vectors (pP2C2S and pGR107) resulted in death of the apical portion of experimental plants. To protect plants against the toxic effects of the CP933 protein, the cp933 coding region was fused at its Nterminus to an N-terminal signal peptide from the potato proteinase inhibitor I to direct CP933 to the delta-type vacuoles. Plants producing the CP933 fusion protein did not exhibit the severe toxic effects seen with the unfused protein and the level of expression was 0.16 mg/g of plant tissue. Antimicrobial assays revealed that, in contrast to gram-negative bacterium E. coli (BL21(DE3)), the gram-positive plant pathogenic bacterium Clavibacter michiganensis was more susceptible to the plant-produced CP933, showing 18% growth inhibition. The results of our experiments demonstrate that the combination of transient expression and protein targeting to the delta vacuoles is a promising approach to produce functionally active proteins that exhibit toxicity when expressed in plant cells.

Environmental Geochemistry of Radon at the Taejon City Area in Korea (대전시(大田市) 지역(地域) 라돈 환경(環境) 지화학(地化學) 연구(硏究))

  • Hong, Young-Kook
    • Economic and Environmental Geology
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    • v.30 no.1
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    • pp.51-60
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    • 1997
  • The high radon (Rn222) potentials of soil, groundwater, hotspring and indoor environments in the Taejon city area were delineated by use of an EDA RDA-200 radon detector. The U and Th contents were also analysed using a Multi Channel Analyzer to illustrate the sources of the radon potentials. The average U concentrations in Taejon vary according to the type of granites such as $4.14{\pm}2.36ppm$ in schistose granite (SG), $3.13{\pm}1.70ppm$ in biotite granite (BG) and $3.01{\pm}1.95ppm$ in two mica granite (TG). The U contents in the granites are closely related with the amounts of uraniferous minerals. However, the U contents in the soil are found to be $5.05{\pm}4.75ppm$ in TG, $4.07{\pm}1.69ppm$ in BG and $3.87{\pm}1.91ppm$ in SG which are mainly explained by the different cation exchange capacities (CEC) of the soils from various granites. The levels of soil radon are $552{\pm}656pCi/l$ in SG, in which levels at two locations exceed the level of 1,350 pCi/l established as guideline for follow-up action by the U.S. Environmental Protection Agency (EPA), $443{\pm}284pCi/l$ in TG and $224{\pm}115pCi/l$ in the BG. The soil radon concentrations are found to be proportional to the U content and hardness of the soils. The groundwater radon concentrations in the domestic wells of - 30~-100 m depth show that $6,907{\pm}4,665pCi/l$ in TG, $5,503{\pm}6,551pCi/l$ in SG and $2,104{\pm}1,157pCi/l$ in BG which are positively related with U contents in soils. The radon levels of six groundwater wells in TG and two in SG are greater than guideline for drinking water level, 10,000 pCi/l by EPA (1986). Average radon contents of hotsprings and public bathes in the TG area are $7,071{\pm}1,942pCi/l$ and $1,638{\pm}709pCi/l$, respectively, which are below the EPA standard for remedial action value of the 10,000 pCi/l. The mean indoor radon concentrations of the TG and SG areas are $1.60{\pm}1.20pCi/l$ and $1.60{\pm}0.70pCi/l$, respectively. The elevated indoor radon levels of 5.6 pCi/l and 6.7 pCi/l are found to be particularly in TG area, which exceeds 4 pCi/i guideline, correlating positively with the U contents in the soil and radon concentration in the groundwater.

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Cloning and Base Sequence Determination of Replication Initiation Gene (rep) Isolated from Staphylococcus aureus DH1 R-plasmid pSBK203 (Staphylococcus aureus DH1에서 분리된 R-plasmid pSBK203의 복제 개시 유전자(rep) 분리 및 염기서열 결정)

  • Park, Seung-Moon;Kwon, Dong-Hyun;Byeon, Woo-Hyeon
    • Korean Journal of Microbiology
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    • v.31 no.1
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    • pp.44-47
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    • 1993
  • A replication initiation gene was identified and its nucleotide sequence has been determined from a 3.8 kb, chloramphenicol acethyltransferase conferring R-plasmid pSBK203 of Staphylococcus aures. Location of the replication related region of pSBK 203 was determined by interuption with pUC 119 at XBaI and MspI sites which resulted in inactivation of replication in Bacilius subtilis. Base sequence of this region revealed on open reading frame of 942 base pairs, which encoded a 314 amino acid protein. Base sequence homology with other rep of pT181 family plasmids such as pT181, pC221, pC223, pS194, pU112, and pCW7 was ranged from 78% to 97% and the predicted amino acid sequence homology was from 72% to 95%.

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Cloning of a Gene Encoding Dextranase from Lipomyces starkeyi and its Expression in Pichia pastoris

  • Kang, Hee-Kyoung;Park, Ji-Young;Ahn, Joon-Seob;Kim, Seung-Heuk;Kim, Do-Man
    • Journal of Microbiology and Biotechnology
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    • v.19 no.2
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    • pp.172-177
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    • 2009
  • A gene(lsd1) encoding dextranase from Lipomyces starkeyi KSM22 has been previously cloned, sequenced, and expressed in Saccharomyces cerevisiae. The gene consisting of 1,824 base pairs and encoding a protein of 608 amino acids was then cloned into and secretively expressed in Pichia pastoris under the control of the AOX1 promoter. The dextranase productivity of the P. pastoris transformant(pPIC9K-LSD1, 134,000 U/I) was approximately 4.2-fold higher than that of the S. cerevisiae transformant(pYLSD1, 32,000 U/I) cultured in an 8-1 fermentor. Over 0.63 g/l of active dextranase was secreted into the medium after methanol induction. The dextranase of the P. pastoris transformant, as analyzed by SDS-PAGE and Western blotting, showed only one homogeneous band. This dextranase of the P. pastoris transformant showed a broad band near 73 kDa. Rabbit monoclonal antibodies against a synthetic LSD1 peptide mix also recognized approximately 73 kDa.

Hypersurfaces with quasi-integrable ( f, g, u, ʋ, λ) -structure of an odd-dimensional sphere

  • Ki, U-Hang;Cho, Jong-Ki;Lee, Sung Baik
    • Honam Mathematical Journal
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    • v.4 no.1
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    • pp.75-84
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    • 1982
  • Let M be a complete and orientable hypersurface of an odd-dimensional sphere $S^{2n+1}$ with quasi-integrable $(f,\;g,\;u,\;{\nu},\;{\lambda})$ -structure. The purpose of the present paper is to prove the following two theorems. (I) If the scalar curvature of M is constant and the function $\lambda$ is not locally constant, then M is a great sphere $S^{2n}$(1) or a product of two spheres with the same dimension $S^{n}(1/\sqrt{2}){\times}S^{n}(1/\sqrt{2})$. (II) Suppose that the sectional curvature of the section $\gamma(u,\;{\nu})$ spanned by u and $\nu$ is constant on M and M is compact. If the second fundamental tensor H of M is positive semi-definite and satisfies trace $$^{t}HH{\leq_-}{2n}$$, then M is a great sphere $S^{2n}$ (1) or a product of two spheres $S^{n}{\times}S^{n}$ or $S^{p}{\times}S^{2n-p}$, p being odd.

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Studies on the Separation and Preconcentration of Metal Ions by Chelating Resin containing (Polystyrene-divinylbenzene)-thiazolylazo Phenol Derivatives(I) ((Polystyrene-divinylbenzene)-thiazolylazo phenol형 킬레이트 수지에 의한 금속이온의 분리 및 농축에 관한 연구(I))

  • Lim, Jae-Hee;Kim, Min-Kyun;Lee, Chang-Hun;Lee, Won
    • Analytical Science and Technology
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    • v.9 no.3
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    • pp.279-291
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    • 1996
  • The new chelating resins, XAD-2, 4, 16-TAC and XAD-2, 4, 16-TAO were synthesized by Amberlite XAD-2, XAD-4, and XAD-16 macroreticular resins with 2-(2-thiazolylazo)-p-cresol(TAC) and 4-(2-thiazolylazo)orcinol(TAO) as functional groups and were characterized by elemental analysis and FT-IR spectrometry. It was found that the content of functional group in chelating resin was 0.60mmol/g in XAD-16-TAC and 0.68mmol/g in XAD-16-TAO respectively. The chelating resins were stable in acidic and alkaline solution and can be reused over 10 times. The sorption behavior of some metalions to two chelating resins was investigated by batch method, which included batch equilibrium, effect of pH, coexisting ions and masking agent. For the optimum condition of sorption, the time required for equilibrium was about 1 hour and optimum pH was 5. In the presence of anions such as ${SO_4}^{2-}$ and $CH_3COO^-$, the sorption of U(VI) ion was slightly reduced but other anions such as $Cl^-$ and $NO{_3}^-$ revealed no interference effect. Also, sorption capacity of U(VI) ion was decreased by addition of $CO{_3}^{2-}$ ion because of complex formation of $[UO_2(CO_3)_3]^{4-}$, but alkali metals and alkali earth metals including Na(I), K(I), Mg(II), and Ca(II) were not affected for the sorption extent. Masking agent, NTA showed better separation efficiency of U(VI) ion from coexisting metal ions such as Th(IV), Zr(IV), Hf(IV), Cu(II), Cd(II), Pb(II), Ni(II), Zn(II) and Mn(II) than EDTA, CDTA.

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Purufication and Characterization of Extracellular Collagenase from Vibrio mimicus (Vibrio mimicus 가 생산하는 collagenase의 정제 및 특성)

  • 김용태;김세권
    • Journal of Life Science
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    • v.6 no.4
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    • pp.241-249
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    • 1996
  • A collagenase was isolated from the culture filtrate of Vibrio mimicus (ATCC 33658). The enzyme was purified to homogeneity by ammonium sulfate precipitation and DEAE-Sephadex A-50 chromatography, which an activity recovery of 22%. The molecular weight of the purified enzyme was estimated to be 42 kDa by SDS-polyacrylamide gel electrophoresis and gel filtration, indication a monomer structure. The optimum pH and temperature od the enzyme for insoluble collagen (Type I) were around 7.75 and 28$\circ$C, respectively. Some chelating agents and serine protease inhibitor inactivated the enzyme, but L-cysteine and histidine did not affect the activity. The amino acid composition indicated that the collagenase contained high amounts of amino acid residues of glycine and alanine. The K$_{m}$ and R$_{cat}$/K$_{m}$ values for the collagenase, using insoluble collagen (type I) as substrate, were 2.86 mg/ml and 972.28 U/mg-protein, respectively.

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카드뮴에 노출된 수생식물 5종의 엽록소형광 분석

  • Jin, Guk-Rim;Go, Seok-Chan;O, Sun-Ja
    • Proceedings of the Korean Environmental Sciences Society Conference
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    • 2007.05a
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    • pp.460-464
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    • 2007
  • 개구리밥, 생이가래, 은행이끼, 수련, 부들 등 5종의 식물을 대상으로 카드뮴 $(Cd^{2+})$의 농도를 달리하여 처리한 후 시간별로 식물의 광합성효율을 분석하였다. 그 결과, 개구리밥, 생이가래, 은행이끼, 부들 등 4종은 카드뮴에 민감한 것으로 조사되었고, 수련은 다른 식물종에 비해 덜 민감한 것으로 나타났다. O-J-I-P 곡선의 패턴을 살펴보면, 종에 따라 다소의 차이는 있으나 개구리밥, 생이가래, 은행이끼, 부들 등 4종의 식물은 카드뮴 농도가 증가할 수록 J, I, P값이 크게 감소하는 것을 볼 수 있었다. 특히 P-단계의 감소는 개구리밥에서 현저하게 나타나 다른 3종 보다 카드뮴에 민감한 것으로 보인다. 광계II의 광합성효율(Fv/Fm) 변화양상을 보면, 개구리밥과 생이가래는 카드뮴 농도가 50uM 이상에서는 배양 1일부터 Fv/Fm값이 급격하게 감소하였으며, 은행이끼와 부들은 3일 이후부터 50uM 이상의 카드뮴 농도하에서 Fv/Fm값이 감소하였다. 수련은 큰 변화를 보이지 않았다.

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