• Title/Summary/Keyword: $S1P_2$

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SOME APPLICATIONS OF THE UNION OF STAR-CONFIGURATIONS IN ℙn

  • Shin, Yong Su
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.4
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    • pp.807-824
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    • 2011
  • It has been proved that if $\mathbb{X}^{(s,s)}$ is the union of two linear star-configurations in $\mathbb{P}^2$ of type $s{\times}s$, then $(I_{\mathbb{X}^{(s,s)}})_s{\neq}\{0\}$ for s = 3, 4, 5, and $(I_{\mathbb{X}^{(s,s)}})_s=\{0\}$ for $s{\geq}6$. We extend $\mathbb{P}^2$ to $\mathbb{P}^n$ and show that if $\mathbb{X}^{(s,s)}$ is the union of two linear star-configurations in $\mathbb{P}^n$, then $(I_{\mathbb{X}^{(s,s)}})_s=\{0\}$ for $n{\geq}3$ and $s{\geq}3$. Using this generalization, we also prove that the secant variety $Sec_1(Split_s(\mathbb{P}^n))$ has the expected dimension 2ns + 1 for $n{\geq}3$ and $s{\geq}3$.

Production of Enantiopure Styrene Oxide by Recombinant Pichia pastoris carrying Double Expression cassette of Epoxide Hydrolase Gene (에폭사이드 가수분해효소 유전자의 double expression cassette 재조합 Pichia pastoris를 이용한 enantiopure styrene oxide의 제조)

  • Kim, Hee-Sook
    • Journal of Life Science
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    • v.18 no.1
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    • pp.136-142
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    • 2008
  • A recombinant Pichia pastoris carrying double expression cassette of Rhodotorula glutinis epoxide hydrolase(RgEH) gene was developed and used for preparing enantiopure (S)-styrene oxide from racemic mixture of styrene oxide. BglII restriction site of original RgEH gene (pPICZ B/RgEH #2) of previous report was mutated using PCR technique for the construction of double expression cassette containing promoter ($P_{AOX1}$), EH gene and transcription terminator ($TT_{AOX1}$) in pPICZ C vector. Double expression cassette with RgEH was inserted into the chromosomal DNA of P. pastoris. $V_{max}$ ($2.2{\mu}mol\;min^{-1}mg\;dcw^{-1}$) on (R)-styrene oxide of P. pastoris with double expression cassette was about 6-fold higher than that ($0.4{\mu}mol\;min^{-1}mg\;dcw^{-1}$) of P. pastoris with single expression cassette. For the determination of the optimal condition, the effects of detergent and temperature on the enantioselective hydrolytic activity and yield of the enantiomer were investigated. When the reaction was performed at $10^{\circ}C$ for 10 min in the presence of 0.5% Tween 20, enantiopure (S)-styrene oxide with 99.9% ee was obtained as the yield 43.4 % from 20 mM racemic sustrate.

The Stimulatory Effect of P2Y6 Receptor Antagonist on RANKL-induced Osteoclastogenesis (P2Y6 수용체 길항제의 파골세포 분화 촉진 효과 규명)

  • Noh, A Long Sae Mi;Moon, Miran;Yim, Mijung
    • YAKHAK HOEJI
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    • v.59 no.5
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    • pp.207-214
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    • 2015
  • P2Y receptors, a type of P2 receptor family, are G-protein coupled receptors and 8 subtypes have been characterized ($P2Y_1$, $P2Y_2$, $P2Y_4$, $P2Y_6$, $P2Y_{11-14}$). Recently, several studies have shed light on the role of P2Y receptors in bone biology. Among them, little is known on the role of $P2Y_6$ receptor on osteoclast differentiation. Thus, we investigated the role of $P2Y_6$ receptor on osteoclastogenesis using $P2Y_6$ receptor selective antagonist, MRS 2578. When osteoblasts and bone marrow cells were co-cultured in the presence of $VitD_3$ and $PGE_2$, $P2Y_6$ antagonist increased the formation of TRAP positive osteoclasts. To elucidate the target cells of $P2Y_6$ antagonist, we first checked the effect of MRS 2578 on osteoblasts. Treatment of MRS 2578 did not affect OPG : RANKL mRNA ratio in osteoblasts. Next, we checked the effects of $P2Y_6$ antagonist on osteoclast precursors using mouse bone marrow macrophages (BMMs). Addition of MRS 2578 increased the number of osteoclasts in RANKL-treated BMMs. Although $P2Y_6$ antagonist had no effect on RANKL-induced NFATc1, c-Fos and MafB expression levels, it significantly stimulated RANKL-induced Blimp1 mRNA expression in BMMs. Taken together, these data indicate that $P2Y_6$ antagonist increases osteoclast formation by upregulation of Blimp1 expression.

AN ANALOGUE OF THE HILTON-MILNER THEOREM FOR WEAK COMPOSITIONS

  • Ku, Cheng Yeaw;Wong, Kok Bin
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.1007-1025
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    • 2015
  • Let $\mathbb{N}_0$ be the set of non-negative integers, and let P(n, l) denote the set of all weak compositions of n with l parts, i.e., $P(n,l)=\{(x_1,x_2,{\cdots},x_l){\in}\mathbb{N}^l_0\;:\;x_1+x_2+{\cdots}+x_l=n\}$. For any element $u=(u_1,u_2,{\cdots},u_l){\in}P(n,l)$, denote its ith-coordinate by u(i), i.e., $u(i)=u_i$. A family $A{\subseteq}P(n,l)$ is said to be t-intersecting if ${\mid}\{i:u(i)=v(i)\}{\mid}{\geq}t$ for all $u,v{\epsilon}A$. A family $A{\subseteq}P(n,l)$ is said to be trivially t-intersecting if there is a t-set T of $[l]=\{1,2,{\cdots},l\}$ and elements $y_s{\in}\mathbb{N}_0(s{\in}T)$ such that $A=\{u{\in}P(n,l):u(j)=yj\;for\;all\;j{\in}T\}$. We prove that given any positive integers l, t with $l{\geq}2t+3$, there exists a constant $n_0(l,t)$ depending only on l and t, such that for all $n{\geq}n_0(l,t)$, if $A{\subseteq}P(n,l)$ is non-trivially t-intersecting, then $${\mid}A{\mid}{\leq}(^{n+l-t-l}_{l-t-1})-(^{n-1}_{l-t-1})+t$$. Moreover, equality holds if and only if there is a t-set T of [l] such that $$A=\bigcup_{s{\in}[l]{\backslash}T}\;A_s{\cup}\{q_i:i{\in}T\}$$, where $$A_s=\{u{\in}P(n,l):u(j)=0\;for\;all\;j{\in}T\;and\;u(s)=0\}$$ and $$q_i{\in}P(n,l)\;with\;q_i(j)=0\;fo\;all\;j{\in}[l]{\backslash}\{i\}\;and\;q_i(i)=n$$.

Effect of Mixture Ratio of Biochar and Peatmoss on the Growth of Aster spathulifolius (바이오차와 피트모스의 혼합비율이 해국 묘 생육에 미치는 영향)

  • Kim, S.J.;Kim, S.J.;Han, S.K.;Kwon, Y.K.;Kwon, Y.H.
    • Journal of Practical Agriculture & Fisheries Research
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    • v.20 no.2
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    • pp.31-38
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    • 2018
  • This study was conducted to investigate the possibility of biochar as an alternative medium to peatmoss using for Aster spathulifolius. We cultivated A. spathulifolius in four potting media with different mixing rates (v/v) of peatmoss (P) and biochar (B) as follows: B0+P3, B1+P2, B2+P1, and B3+P0 with vermiculite 3 + perlite 3. Also, we analyzed the chemical properties of media and the plant growth characteristics. The results were as follows: In case of media's chemical condition, B0+P3 and B1+P2 treatments showed higher tendency (p < 0.05). Plant height on B0+P3 and B1+P2 treatments was much higher than that on other treatments (p < 0.05). Root length on B1+P2 treatment was higher than on B0+P3 treatment (p < 0.05). B0+P3 and B1+P2 treatments showed higher number of leaves and dry biomass than other treatments. Therefore, our results support that Biochar : Peatmoss : Vermiculite : Perlite (1/3 : 2/3 : 1 : 1, v/v) could be a more economical potting medium for A. spathulifolius than peatmoss : vermiculite : perlite (1 : 1 : 1, v/v).

A Kinetic Study on the Solvolysis of Benzyl Chloride under High Pressure (고압하에서 염화벤질의 가용매분해반응에 대한 속도론적 연구)

  • Kwon, Oh-Cheun;Kyong, Jin-Burm
    • Journal of the Korean Chemical Society
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    • v.31 no.3
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    • pp.207-214
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    • 1987
  • Rates of solvblysis of benzyl chloride in ethanol-water mixtures have been measured at 30 and $40^{\circ}C$ under various pressures up 1.6 kbar. The plots of 1n k as a function of pressure are fitted to a second order function in p, and values of ${\Delta}V^{\neq}$and ${\Delta}{\beta}^{\neq}$ are obtained from the results. Also the values of various pseudo thermodynamic quantities were evaluated from the rate constants. The relationships of the 1n k to $Q_w$ or 1n $C_w$ indicate that the reaction proceeds through $S_N1$ mechanism. A comparison between the present and the previous results gives that the increasing order of ${\mid}{{\Delta}V_0}^{\neq}{\mid}$ and n-values are $p-Cl>p-H>p-CH_3$ and $p-CH_3>p-H.p-Cl$, respectively. From these results, it is believed substituent such as the $p-CH_3$group favors the $S_N1(1)$ character, while the p-Cl group leads to the $S_N1(2)$ character.

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ON A CLASS OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Shukla, S.L.;Chaudhary, A.M.;Owa, S.
    • Kyungpook Mathematical Journal
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    • v.28 no.2
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    • pp.129-139
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    • 1988
  • Let $T^{\alpha}_{\lambda}$(p, A, B) denote the class of functions $$f(z)=z^p-{\sum\limits^{\infty}_{k=1}}{\mid}a_{p+k}{\mid}z^{p+k}$$ which are regular and p valent in the unit disc U = {z: |z| <1} and satisfying the condition $\left|{\frac{{e^{ia}}\{{\frac{f^{\prime}(z)}{z^{p-1}}-p}\}}{(A-B){\lambda}p{\cos}{\alpha}-Be^{i{\alpha}}\{\frac{f^{\prime}(z)}{z^{p-1}}-p\}}}\right|$<1, $z{\in}U$, where 0<${\lambda}{\leq}1$, $-\frac{\pi}{2}$<${\alpha}$<$\frac{\pi}{2}$, $-1{\leq}A$<$B{\leq}1$, 0<$B{\leq}1$ and $p{\in}N=\{1,2,3,{\cdots}\}$. In this paper, we obtain sharp results concerning coefficient estimates, distortion theorem and radius of convexity for the class $T^{\alpha}_{\lambda}$(p, A, B). It is further shown that the class $T^{\alpha}_{\lambda}$(p, A, B) is closed under "arithmetic mean" and "convex linear combinations". We also obtain class preserving integral operators of the form $F(z)=\frac{p+c}{z^c}{\int^z_0t^{c-1}}f(t)dt$, c>-p, for the class $T^{\alpha}_{\lambda}$(p, A, B). Conversely when $F(z){\in}T^{\alpha}_{\lambda}$(p, A, B), radius of p valence of f(z) has also determined.

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Kinetic Studies on the Mechanism of Hydrolysis of Benzohydrazonyl Bromide (Benzohydrazonyl Bromide의 加水分解 反應메카니즘에 관한 反應速度論的 硏究)

  • Ki Sung Kwon;Tae Rin Kim
    • Journal of the Korean Chemical Society
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    • v.20 no.3
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    • pp.221-228
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    • 1976
  • The kinetics of hydrolysis of hydrazonyl bromides $(p-H,\;p-CH_3,\;p-OCH_3,\;p-Br,\;p-Cl\;&\;p-NO_2)$ have been investigated by UV spectrometry in $60{\%}$ dioxane-water at $25^{\circ}C$ and a rate equation which can be applied over wide pH range was obtained. Below pH2, the rate of hydrolysis of a series of hydrazonyl bromide is accelerated by electrondonating group (${\rho}$ = -0. 94) whereas at the pH values greater than 4, the ${\rho}$-value is 0.54. The rate equation, solvent-, substituent-and bromide ion-effect on the rate of hydrolysis are rationalized in terms of $S_N1$ and $S_N2$ mechanism: below pH 2, the hydrolysis proceed through $S_N2$, however, above pH 4, the hydrolysis is started by the attack of hydroxide ion and in the range pH 2{\sim}$4, these two reactions occur competitively.

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Quality of Life Changes in Patients Admitted to the Hospice Unit (호스피스 병동 입원 환자의 삶의 질 변화)

  • Park, Theresia;Song, Hae-Hiang;Seo, In-Ok;Cho, Young-Yee;Park, Myung-Hee;Heo, Jeong-Hee;Kim, Eun-Kyung;Park, Sun-Ju;Ra, Jeong-Ran
    • Journal of Hospice and Palliative Care
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    • v.3 no.1
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    • pp.18-27
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    • 2000
  • Purpose : This study aims to find out the quality of life of patients admitted to the hospice unit at Kangnam St. Mary's Hospital, at admission and after weeks hospice service and to assess the effects of hospice service on the quality of life of terminal cancer patients. Methods : This study subjects were 100 patients admitted to the hospice unit at Kangnam St. Mary's Hospital, Catholic University between October 1999 and March 2000, and their primary caregivers. Quality of life data were collected using a questionnaire revised by the authors and were analyzed by means of repeated measures ANOVA. Results : 1) Patient's quality of life as perceived by the primary caregiver was significantly improved and the mean score was 3.31, 3.68, 3.56, 3.73, 3.75 at admission and week 1, 2, 3, 4. With the detailed item analysis, the following items were shown to be significantly improved: "clean bodies"(F=6.50, P=0.0001) "pain control"(F=18.01, P=0.0001) constipate"(F=2.96, P=0.0237) "sleep"(F=3.99, P=0.0048) "nausea/vomiting"(F=4.50, P=0.0022) "medical team's comfortable care" (F=3.95, P=0.0051) "family's care"(F=2.76, P=0.0317) "anxiety" (F=3.14, P=0.0177) "comfort"(F=3.63, P=0.0085) "treat with dignity"(F=3.32, P=0.0136). The item of "death is not the end of life rather the beginning" was significantly decreased(F=2.54, P=0.0450). 2) Patient's quality of life as perceived by the patient showed an improvement but statistically insignificant and the mean score was 3.63 and 3.83 at admission and week 1. With the detailed item analysis, the item of "pain control" was shown to be significantly improved(F=9.19, P=0.0251). 3) The quality of score in the last week of life of patient were 3.48, 3.51, 3.44, 3.46, 3.50, respectively, from 5 week prior to 1 week prior to death and these changes were insignificant. Conclusion : The findings of this study showed a positive effect of hospice service on quality of life of the terminal cancer patients admitted to the hospice unit. To improve the quality of life, we need first of all to develop hospice interventions with a particular emphasis on the spiritual aspect of patient. Secondly, measurement instruments need to be developed to collect the quality of life of the hospice patients who become weakened especially in the last weeks of their life and with this effort more representative data of hospice patients may be collected.

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The Effects of Inorganic Soil Amendment on Growth of Creeping Bentgrass(Agrostis palustris) in Golf Course (무기 토양개량제가 골프장 그린의 크리핑 벤트그래스 생육에 미치는 영향)

  • Lee, Jae-Pil
    • Asian Journal of Turfgrass Science
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    • v.26 no.2
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    • pp.110-115
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    • 2012
  • Soil amendments have been used to improve the physical and chemical condition of turf soil, which might optimize turfgrass growth in golf courses. This study was to investigate the effect of inorganic soil amendment (ZC) established in USGA root zone system on growth of creeping bentgrass, cv. 'Penncross' carried out from May to Dec. in 2005 at the nursery on Sinwon Golf Course. To analyze the effects of inorganic soil amendment on pH, specific gravity, infiltration rate, water content, soil hardness, root length, tiller density and dry weight were measured. pH was 6.7-6.8, specific gravity of sand (S) 100% was 1.48 heavier than the other treatments (1.28-1.38). Infiltration rate with ZC 15% + peat moss (P) 5% + S 80% and ZC 10% + S 90% was faster than S 100%. Soil hardness of S 100% was the highest. Root length of creeping bentgrass of P 10% + S 90% (8.6-12.0 cm) was the longest. Tiller density with P 5% + S 95% was more 4-7 ea than other treatments in summer season. In growing season, however, ZC 10% + P 5% + S 85% was more 2-3 ea than others. Dry weight of creeping bentgrass treated by ZC 10% + P 5% + S 85% in summer season and P 5% + S 95% in growing season were heavier than other treatments. It is recommended to combine 5-15% inorganic soil amendment and peat moss 5% with sand in order to sustain soil balance.