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CERTAIN IMAGE FORMULAS OF (p, 𝜈)-EXTENDED GAUSS' HYPERGEOMETRIC FUNCTION AND RELATED JACOBI TRANSFORMS

  • Chopra, Purnima;Gupta, Mamta;Modi, Kanak
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1055-1072
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    • 2022
  • Our aim is to establish certain image formulas of the (p, 𝜈)-extended Gauss' hypergeometric function Fp,𝜈(a, b; c; z) by using Saigo's hypergeometric fractional calculus (integral and differential) operators. Corresponding assertions for the classical Riemann-Liouville(R-L) and Erdélyi-Kober(E-K) fractional integral and differential operators are deduced. All the results are represented in terms of the Hadamard product of the (p, 𝜈)-extended Gauss's hypergeometric function Fp,𝜈(a, b; c; z) and Fox-Wright function rΨs(z). We also established Jacobi and its particular assertions for the Gegenbauer and Legendre transforms of the (p, 𝜈)-extended Gauss' hypergeometric function Fp,𝜈(a, b; c; z).

Combination Effects of Benzoate, Sorbate and pH for Control of Escherichia coli O157:H7 (Escherichia coli O157:H7의 제어를 위한 Benzoate, Sorbate 및 pH의 병용처리 효과)

  • 권오진;김덕진;변명우
    • Journal of Food Hygiene and Safety
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    • v.12 no.3
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    • pp.200-204
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    • 1997
  • Effects of benzoate (0~0.6 g/$\ell$ ) and sorbate (0~2.0 g/$\ell$) on the growth of Escherichia coli O157:H7 in tryptic soy broth at various pH levels (4~8) and temperatures (4$^{\circ}C$, 37$^{\circ}C$) were investigated. Benzoate and sorbate were inhibited the growth of E. coli O157:H7 up to 12 hours cultivation at 4$^{\circ}C$, and 2.0 g/$\ell$ sorbate was only inhibited during 48 hours cultivation at 37$^{\circ}C$. Among the pH levels tested, pH 4 showed significant inhibitory effect against the E. coli O157:H7 on 4$^{\circ}C$ and at 37$^{\circ}C$, respectively. When used in combination 0.2 g/$\ell$ benzoate and sorbate were completely inhibited the growth of E. coli O157:H7 on pH 4 and at 37$^{\circ}C$. While on pH 5 at 4$^{\circ}C$, all of the concentration tested did not exert any inhibitory effect. The combined effects were retarded more than single treatment of E. coli O157:H7.

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Induction of apoptosis by etoposide treatment in colon cancer cell line SNU C2A (대장암 세포주 SNU C2A에서 etoposide 처리에 의한 apoptosis 유도)

  • Jung, Ji-Yeon;Na, Yun-sook;Jung, Ho-Chul;Oh, Sang-Jin
    • IMMUNE NETWORK
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    • v.1 no.3
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    • pp.221-229
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    • 2001
  • Background: Inactivation of tumor suppressor genes is believed to be important in the development of many human malignancies. Recently, several lines of evidence have indicated that the wild type p53 gene located at 17p13.3, may function as a tumor suppressor gene and that a mutant p53 gene could promote transformation by inactivating normal p53 function in a dominant negative fashion. These broad spectrum of p53 mutation in human cancers provide that mutant p53 and their protein may be potential targets of tumor diagnostic and therapeutic interventions. Method: Colony formation was performed to investigate growth suppressional ability. p53 expression pattern was examined by western blot and p53-mediated transactivation ability was assessed by CAT activity. SNU C2A cells were observed in apoptotic aspects induced by etoposide and $H_2O_2$ treatment, detecting sensitivity on agent, DNA fragmentation through agarose gel, chromatin condensation by fluorescence microscope, and cell cycle distribution by FACS. Result: 1) p53 mutant his179arg ($histidine{\rightarrow}arginine$) detected in SNU C2A cells lost transcriptional activity and growth suppression ability, showing dominant negative effect on its wild type p53. 2) Etoposide-treated SNU C2A cells induced apoptosis, exhibiting dramatic reduction of cell growth, DNA fragmentation, nuclear condensation formation of apoptotic body and increment of sub-G1 cell fraction. 3) Etoposide and $H_2O_2$-treated SNU C2A cells have no high increase of p53 expression and overexpressed p53 protein changed localization, from cytoplasm to nucleus. Also, p53-mediated transcriptional activity was increased by agents-treatment. Conclusion: SNU C2A cells coexpress wild-type and mutant p53 protein induced apoptosis in the condition on DNA damage, through localizational shift from cytoplasm to nucleus of p53 protein rather than the induction of p53 protein. SNU C2A cells derived mutant p53 his179arg abrogated both the growth supression ability and transactivational activity, showing inhibition effect on transcriptional activity of wild type p53, but did not repress the activity of wild type p53 in SNU C2A cells owing to dominant activity of wild type. These cell condition may provide new gene therapeutic implications leading effective antiproliferation of cell when mutant and wild-type p53 protein were co-expressed in cell.

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Heat Shock-Induced Physical Changes of Megaplasmids in Rhodococcus sp. Strain DK17 (성장 온도가 Rhodococcus sp. Strain DK17의 Megaplasmid 안정성에 미치는 영향)

  • Kim, Kyung-Sun;Kim, Doc-Kyu;Park, Hae-Youn;Sung, Jung-Hee;Kim, Eung-Bin
    • Korean Journal of Microbiology
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    • v.47 no.1
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    • pp.92-96
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    • 2011
  • Rhodococcus sp. strain DK17 possesses three megaplasmids (380 kb pDK1, 330 kb pDK2, and 750 kb pDK3). The alkylbenzene-degrading genes (akbABCDEF) are present on pDK2 while the phthalate operons which are duplicated are present on both pDK2 (ophA'B'C'R') and pDK3 (ophABCR). DK17 with an optimal temperature of $30^{\circ}C$ showed no growth at $37^{\circ}C$. When transferred to $30^{\circ}C$, however, the $37^{\circ}C$ culture began to grow immediately, indicating that $37^{\circ}C$ is not lethal but stressful for DK17 growth. In addition, when exposed to $37^{\circ}C$ even for a short time, a part of DK17 cells lost the ability to degrade o-xylene (a model compound of alkylbenzenes). When two hundred colonies were randomly selected for colony PCR for pDK2-specific akbC, ophC', or pDK3-specific ophC, a total of 29 colonies were found to have lost at least one of the three genes. PFGE analysis clearly showed that all the mutants have different megaplasmid profiles from that of DK17 wild type, which are divided into five different cases: Type I (10 mutants, pDK2 loss and acquisition of a new ~700 kb plasmid), Type II (9 mutants, pDK2 loss), Type III (8 mutants, pDK3 loss and acquisition of a new ~400 kb plasmid), Type IV (1 mutant, pDK3 loss), and Type V (1 mutant, pDK2 and pDK3 loss and acquisition of the ~400 kb and ~700 kb plasmids). The above results showing that growth temperature changes can induce physical changes in bacterial genomes suggest that environmental changes in habitats including temperature fluctuations affect significantly the evolution of bacteria.

For the chlorophyll decrease and formation of Chlorolla variegata by Glucose-Culture (II) Influence of temperature and pH (Chlorella Variegata Beijerinck 의 Glucose 배양에 있어서의 Chlorophyll 증감관계에 관한연구 (제 2 ) .pH 의 영향에 대한)

  • 이현순
    • Korean Journal of Microbiology
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    • v.5 no.1
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    • pp.20-23
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    • 1967
  • I studied about temperature and pH concentration having influence upon chlorophyll decrease on the Glucose culture of Chlorella variegata Beijerinck(211/10a). I cultured under $25^{\circ}C$(standard), $15^{\circ}C$ and $35^{\circ}C$ and compared with each other. The culture of $15^{\circ}C$ didn't have any large difference with the standard culture($25^{\circ}C$) but the culture of $35^{\circ}C$ had a large amount of chlorophyll decrease without carbohydrate accumulation, stimulation of cell division and nitrogen-deficiency. Chlorella variegata had optimum pH 6.5-7 and was a little weak in all phenomenon under pH 8 rather than under pH 6.5-7. Under pH 5 they had deep chlorophyll decrease without phephytin.

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Microstructure and Mechanical Properties of P/M Processed 2XXX Al-${SiC}_{p}$ Composites (분말야금방법으로 제조된 2XXX Al-${SiC}_{p}$ 복합재료의 미세조직과 기계적 성질)

  • 심기삼
    • Journal of Powder Materials
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    • v.4 no.1
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    • pp.26-41
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    • 1997
  • The powder metallurgy (P/M) processed 2009 and 2124 Al composites reinforced with SiC particulates were studied by focusing on the effect of consolidation temperature on the microstructural and mechanical Properties. The mechanical properties such as tensile properties and microhardness of the second phases were analysed in relation to the microstructures observed by a SEM and an optical microscope. The in situ fracture process study using SEM showed that the grain refinement and the removal of manganese-containing particles often observed in the 2124 Al-${SiC}_{p}$ composites were important for the improvement of the mechanical properties. This study offers an optimum consolidation temperature for the control of the manganese-containing particles in the 2124 Al-${SiC}_{p}$ composites that yields mechanical properties higher than those of the 2009 Al-${SiC}_{p}$ composites.

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Study on the Sublimatographic Characters of Sulfur (황의 Sublimatographic Characters에 관한 연구)

  • Sohn, Jin-Un;Kim, Joo-Bong
    • Elastomers and Composites
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    • v.7 no.1
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    • pp.53-58
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    • 1972
  • Sublimatographic study on the method of test for sulfur in the petroleum and rubber products was as following results: (1) The relation between the heating temperature$(t_h)$ and the vacuum condensing point(V.C.P.) of sulfur at different degree of vacuum appeared as Fig.4. The results were in good agreement with those expected from the $t_h-V.C.P$ curves of sublimatographic separation of sulfur. (2) The relation between the degree of vacuum and the V.C.P. at different heating temperature of sulfur appeared as follows; $$tv.c.p.=\alpha+{\beta}logP_{va}$$ (3) The V.C.P of sulfur could be physical property comparing with melting point and boiling point. (4) The relation between the V.C.P. and the quantity of sublimation of sulfur becomes quantitative as Fig.7.

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Studied on the Mass Transfer and the Vacuum Condensing Point of Sublimatography(I) -Relations between the Heating Temperature and the V.C.P at different Degree of Vacuum- (Sublimatography의 V.C.P 및 물질전달에 관한 연구(I) -진공도 변화에 따른 V.C.P 와 $t_h$와의 관계-)

  • Kim, Joo-Bong;Sohn, Jin-Un
    • Journal of the Korean Chemical Society
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    • v.14 no.4
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    • pp.321-326
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    • 1970
  • The relation between the heating temperature and the V.C.P(Vacuum Condensing Point) at different degree of vacuum through the sublimatographic separation was studied where by ; (1) Anthracene and Anthraquinone, ${\alpha}$-Naphtol and ${\beta}$-Naphthol, o-Aminobenzoicacid and p-Aminobeenzoicacid were easily separated from each of its mixtures as shown in Figure9, 10 and 11, while tailings appeared appreciably. The results were in good agreement with those expected from the $t_k$-V.C.P curves in Figures 3,4,5,6,7 and 8. (2) The relation between the degree of vacuum and the V.C.P. of ${\alpha}$-Naphthol and Anthracene at different heating temperatures appeared as follows and are shown in Figures 12 and 13.

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A METHOD OF COMPUTING THE CONSTANT FIELD OBSTRUCTION TO THE HASSE PRINCIPLE FOR THE BRAUER GROUPS OF GENUS ONE CURVES

  • Han, Ilseop
    • Journal of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1431-1443
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    • 2016
  • Let k be a global field of characteristic unequal to two. Let $C:y^2=f(x)$ be a nonsingular projective curve over k, where f(x) is a quartic polynomial over k with nonzero discriminant, and K = k(C) be the function field of C. For each prime spot p on k, let ${\hat{k}}_p$ denote the corresponding completion of k and ${\hat{k}}_p(C)$ the function field of $C{\times}_k{\hat{k}}_p$. Consider the map $$h:Br(K){\rightarrow}{\prod\limits_{\mathfrak{p}}}Br({\hat{k}}_p(C))$$, where p ranges over all the prime spots of k. In this paper, we explicitly describe all the constant classes (coming from Br(k)) lying in the kernel of the map h, which is an obstruction to the Hasse principle for the Brauer groups of the curve. The kernel of h can be expressed in terms of quaternion algebras with their prime spots. We also provide specific examples over ${\mathbb{Q}}$, the rationals, for this kernel.

Photoluminescence Studies of InP/InGaP Quantum Structures Grown by a Migration Enhanced Molecular Beam Epitaxy

  • Cho, Il-Wook;Ryu, Mee-Yi;Song, Jin Dong
    • Applied Science and Convergence Technology
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    • v.25 no.4
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    • pp.81-84
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    • 2016
  • InP/InGaP quantum structures (QSs) grown on GaAs substrates by a migration-enhanced molecular beam epitaxy method were studied as a function of growth temperature (T) using photoluminescence (PL) and emission-wavelength-dependent time-resolved PL (TRPL). The growth T were varied from $440^{\circ}C$ to $520^{\circ}C$ for the formation of InP/InGaP QSs. As growth T increases from $440^{\circ}C$ to $520^{\circ}C$, the PL peak position is blue-shifted, the PL intensity increases except for the sample grown at $520^{\circ}C$, and the PL decay becomes fast at 10 K. Emission-wavelength-dependent TRPL results of all QS samples show that the decay times at 10 K are slightly changed, exhibiting the longest time around at the PL peak, while at high T, the decay times increase rapidly with increasing wavelength, indicating carrier relaxation from smaller QSs to larger QSs via wetting layer/barrier. InP/InGaP QS sample grown at $460^{\circ}C$ shows the strongest PL intensity at 300 K and the longest decay time at 10 K, signifying the optimum growth T of $460^{\circ}C$.