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COFINITENESS OF GENERAL LOCAL COHOMOLOGY MODULES FOR SMALL DIMENSIONS

  • Aghapournahr, Moharram;Bahmanpour, Kamal
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1341-1352
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    • 2016
  • Let R be a commutative Noetherian ring, ${\Phi}$ a system of ideals of R and $I{\in}{\Phi}$. In this paper among other things we prove that if M is finitely generated and $t{\in}\mathbb{N}$ such that the R-module $H^i_{\Phi}(M)$ is $FD_{{\leq}1}$ (or weakly Laskerian) for all i < t, then $H^i_{\Phi}(M)$ is ${\Phi}$-cofinite for all i < t and for any $FD_{{\leq}0}$ (or minimax) submodule N of $H^t_{\Phi}(M)$, the R-modules $Hom_R(R/I,H^t_{\Phi}(M)/N)$ and $Ext^1_R(R/I,H^t_{\Phi}(M)/N)$ are finitely generated. Also it is shown that if cd I = 1 or $dimM/IM{\leq}1$ (e.g., $dim\;R/I{\leq}1$) for all $I{\in}{\Phi}$, then the local cohomology module $H^i_{\Phi}(M)$ is ${\Phi}$-cofinite for all $i{\geq}0$. These generalize the main results of Aghapournahr and Bahmanpour [2], Bahmanpour and Naghipour [6, 7]. Also we study cominimaxness and weakly cofiniteness of local cohomology modules with respect to a system of ideals.

Changes in pH, Temperature, R-values and Calpain Activity of M. longissimus from Hanwoo Steer during Rigor Development (사후시간 경과가 한우 거세우 배최장근의 pH, 온도, R-value 및 단백질 분해효소 활성에 미치는 영향)

  • Kim, Jin-Hyoung;Kim, Hak-Kyun;Park, Beom-Young;Cho, Soo-Hyun;Hwang, In-Ho;Kim, Dong-Hun;Lee, Jong-Moon
    • Food Science of Animal Resources
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    • v.25 no.3
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    • pp.310-315
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    • 2005
  • The changes in pH, temperature, R-values and ${\mu}-calpain$ and its inhibitor activity of M. longissimus from Hanwoo steer were investigated at 1, 3, 9 and 24h postmortem. The pH and temperature of M. longissimus were significantly (p<0.05) decreased during 24h postmortem time, and were 6.50 and $31.99^{\circ}C$, respectively, at 3h postmortem. $R_{248}\;and\;R_{250}$ were increased, but $R_{258}$ was decreased after 9h postmortem time (p<0.05). Calpain I and calpastatin activity were decreased after 3h and 9h postmortem time, respectively (p<0.05). pH and temperature showed high positive correlations with $R_{258}$ (r=0.967 and r=0.970, respectively), calpain I (r =0.956 and r=0.954, respectively) and calpastatin (r=0.978 and r=0.986, respectively) but had high negative correlations with $R_{248}$ (r=-0.982 and r=-0.973, respectively) and $R_{248}$ (r=-0.983 and r=-0.976, respectively). from these results, the change of postmortem metabolism of M. longissimus from Hanwoo steer likely occurred after 9h postmortem time. However, the further study on the establishment of metabolism from Hanwoo between postmortem 3h and 9h are necessary to produce Hanwoo beef with high acceptance in meat quality.

RESULTS OF CERTAIN LOCAL COHOMOLOGY MODULES

  • Mafi, Amir;Talemi, Atiyeh Pour Eshmanan
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.653-657
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    • 2014
  • Let R be a commutative Noetherian ring, I and J two ideals of R, and M a finitely generated R-module. We prove that $$Ext^i{_R}(R/I,H^t{_{I,J}}(M))$$ is finitely generated for i = 0, 1 where t=inf{$i{\in}\mathbb{N}_0:H^2{_{I,J}}(M)$ is not finitely generated}. Also, we prove that $H^i{_{I+J}}(H^t{_{I,J}}(M))$ is Artinian when dim(R/I + J) = 0 and i = 0, 1.

Ten Cases of R53H Variant of PAH Gene in Benign Hyperphenylalaninemia (PAH 유전자의 R53H 유전자변이를 보인 양성 고페닐알라닌혈증 10례)

  • Lee, Jiyun;Lee, Jeongho;Lee, Dong Hwan
    • Journal of The Korean Society of Inherited Metabolic disease
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    • v.17 no.1
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    • pp.11-17
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    • 2017
  • Purpose: Phenylketonuria (PKU) results from a deficiency of phenylalanine hydroxylase (PAH). The mutation of the PAH gene results in decreased phenylalanine hydroxylase enzyme activity in hyperphenylalaninemia (HPA) patients. This study reports ten cases of patients with the benign HPA genotype c.158G>A (p.Arg53His, R53H) variant in the PAH gene and aims to evaluate the clinical significance of the R53H variant. Methods: Ten Korean patients with the HPA genotype the R53H variant were included in this study. A retrospective medical record review was conducted. We characterized the phenotypes of the patients with HPA with the R53H variant using the following system: classic PKU, moderate PKU, mild PKU, Mild HPA, and benign HPA. Results: Five patients had the R53H variant with the "Pathogenic" variants (R413P, R241C, $Y356^*$, c.442-1G>A, $Y325^*$), Two patients had the "Likely pathogenic" variants ($W187^*$, A259T), Two patients had the "Uncertain significance" variants (R53H, G344D), and One patient had the "Not provided" variant (c.1066-14C>G). Nine patients genotyped with the R53H variant were the patient with benign HPA and One patient genotyped with the R53H homozygote was within normal range of plasma phenylalanine. None of the ten patients required dietary restriction of phenylalanine or pharmacotherapy to maintain their plasma phenylalanine levels and showed no clinical symptoms of HPA. Conclusion: Ten patients with HPA genotype the R53H variant were the patient with benign HPA and showed no clinical symptoms of HPA. Thus, the R53H variant, which was previously classified as an "Uncertain significance" mutation in HPA patients, should be re-classified as "Benign."

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ON SOME ROOT BEHAVIORS OF CERTAIN SUMS OF POLYNOMIALS

  • Chong, Han-Kyol;Kim, Seon-Hong
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.21-28
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    • 2016
  • It is known that no two of the roots of the polynomial equation (1) $$\prod\limits_{l=1}^{n}(x-r_l)+\prod\limits_{l=1}^{n}(x+r_l)=0$$, where 0 < $r_1{\leq}r_2{\leq}{\cdots}{\leq}r_n$, can be equal and all of its roots lie on the imaginary axis. In this paper we show that for 0 < h < $r_k$, the roots of $$(x-r_k+h)\prod\limits_{{l=1}\\{l{\neq}k}}^{n}(x-r_l)+(x+r_k-h)\prod\limits_{{l=1}\\{l{\neq}k}}^{n}(x+r_l)=0$$ and the roots of (1) in the upper half-plane lie alternatively on the imaginary axis.

The Effect of waste Oyster Shell on Anaerobic Composting of Garbage (굴 패각이 음식쓰레기의 혐기성 퇴비화에 미치는 영향)

  • Kim, Nam-Chan;Han, Se-Hyun
    • Journal of the Korea Organic Resources Recycling Association
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    • v.8 no.3
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    • pp.89-96
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    • 2000
  • Waste oyster shell was used to study the applicability on anaerobic composting of garbage. Experiment was conducted with five anaerobic reactors. After garbage and compost for inoculation were mixed, waste oyster shell was added into mixed waste in mesophillic temperature for 60 days with 30%, 60% respectively. The amount of produced methane gas, gas composition, organic removal efficiency and pH were measured. Result showed that the amounts of produced gas were 0.62 l /g-VS in R-1, 0.63 l /g-VS in R-2, 0.16 l /g-VS in R-3, 0.75 l /g-VS in R-4, 0.21 l /g-VS in R-5 and the amounts of produced methane gas were 0.32 l /g-VS in R-1, 0.37 l /g-VS in R-2, 0.04 l /g-VS in R-3, 0.42 l /g-VS in R-4, 0.05 l /g-VS in R-5. Proportion of mathane gas which determines the efficiency of anaerobic composting was over 55%. pH were 6.0~8.0 in R-2 and R-4 which contained 30% of waste oyster shell and pH were increased over 8.5 in R-3 and R-5 which contained 60% of waste oyster shell. Since pH were so high and it had a negative effect on microbial growth, anaerobic reaction were not well operated in R-3 and R-5.

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4.1” Transparent QCIF AMOLED Display Driven by High Mobility Bottom Gate a-IGZO Thin-film Transistors

  • Jeong, J.K.;Kim, M.;Jeong, J.H.;Lee, H.J.;Ahn, T.K.;Shin, H.S.;Kang, K.Y.;Park, J.S.;Yang, H,;Chung, H.J.;Mo, Y.G.;Kim, H.D.;Seo, H.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08a
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    • pp.145-148
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    • 2007
  • The authors report on the fabrication of thin film transistors (TFTs) that use amorphous indium-gallium-zinc oxide (a-IGZO) channel and have the channel length (L) and width (W) patterned by dry etching. To prevent the plasma damage of active channel, a 100-nm-thckness $SiO_{x}$ by PECVD was adopted as an etch-stopper structure. IGZO TFT (W/L=10/50${\mu}m$) fabricated on glass exhibited the high performance mobility of $35.8\;cm^2/Vs$, a subthreshold gate voltage swing of $0.59V/dec$, and $I_{on/off}$ of $4.9{\times}10^6$. In addition, 4.1” transparent QCIF active-matrix organic light-emitting diode display were successfully fabricated, which was driven by a-IGZO TFTs.

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Synthesis and Catalytic Activity of Water-Soluble Iridium-Sulfonated Triphenylphosphine Com;lex. Hydration of Nitriles

  • 진종식;김상열;주광석;원경식;종대성
    • Bulletin of the Korean Chemical Society
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    • v.20 no.5
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    • pp.535-538
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    • 1999
  • Five coordinated water-soluble iridium(l) complex, IrH(CO)(TPPTS)3 (1) (TPPTS = P(m-C6H4SO3Na)3-xH2O) has been prepared from the reaction of IrCl3·3H2O with TPPTS and HCHO in H2O/EtOH solution. Complex 1 catalyzes the hydration of nitrites (RC ≡ N, R = CH3, CICH2, CH3(CH2)4, Ph) in aqueous solution to give the corresponding amides (RCONH2) at 100℃. The hydration of unsaturated nitrites (R'C ≡ N, R'=CH3CH=CH, CH3OCH=CH, trans-PhCH=CH, CH2=C(CH3)) takes place regioselectively on-C ≡ N group to give unsaturated amides (R'CONH2) leaving the olefinic group intact. The yields of the amides seem to be depending on the electrophilicity of the carbon of nitrile: The more the electron withdrawing ability of the substituents on nitrites, the more amides are obtained. The hydration of dinitriles (NC-R-CN, R=(CH2)4, (CH2)6) with complex 1 initially gives mono-hydration products (NC-R-CONH2) which are slowly hydrated further to give dihydration products (H2NCO-R-CONH2). The hydration of 1,4-dicyanobutane has been found to be somewhat faster than that of 1,6-dicyanohexane.

Spawning induction accrding to Stimulating Treatment and Influence of Water Temperature on Egg Development and Larvae Rearing of Oyster , Crassostrea nippona (자극방법별 바윗굴, Crassostrea nippona 의산란효과와 난발생 및 유생사육에 미치는 수온의 영향)

  • 유성규;강경호
    • The Korean Journal of Malacology
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    • v.12 no.2
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    • pp.91-97
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    • 1996
  • 바윗굴의 산란유발 및 종묘생산을 위한 생물학적 기초자료를 얻고자 자극방법별 효과와 난발생 및 유생사육에 미치는 수온의 영향에 관하여 실험한 결과, 자극방법별 산란유발은 정자현탁액 첨가구에서 가장 많은 산란량과 높은 수정률을 나타냈고, 난발생 및 유생사육의 각 단계에 이르기까지의 수온(T, $^{\circ}C$)에 따른 발생속도(h, 시간)는 수온이 높을 수록 빨랐으며, 그 관계식은 다음과 같다. 담륜자기 :1/h= 0.0069T - 0.0950(r=0.9447)D형 유생 :1/h= 0.0006T - 0.0045(r=0.9288)초기 각정기 유생:1/h= 0.0002T - 0.0019(r=0.9358)후기 각정기 유생:1/h= 0.0002T - 0.0022(r=0.9868)부착기 유생:1/h= 0.0001T - 0.0013(r=0.9897)또한 바윗굴의 수온과 난발생 속도와의 관계에서 추정된 난발생의 생물학적 영도는 평균 10.96$^{\circ}C$였으며, 수온별 유생사육시 바윗굴의 생존율은 24$^{\circ}C$에서 6.8%로 가장 좋았다.

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LncRNA PART1 Attenuates Myocardial Ischemia-Reperfusion Injury by Regulating TFAP2C/DUSP5 Axis via miR-302a-3p

  • Min Zeng;Xin Wei;Jinchao Zhou;Siqi Luo
    • Korean Circulation Journal
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    • v.54 no.5
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    • pp.233-252
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    • 2024
  • Background and Objectives: Myocardial ischemia-reperfusion injury (MIRI) refers to the damage of cardiac function caused by restoration of blood flow perfusion in ischemic myocardium. However, long non-coding RNA prostate androgen regulated transcript 1 (PART1)'s role in MIRI remain unclear. Methods: Immunofluorescence detected LC3 expression. Intermolecular relationships were verified by dual luciferase reporter assay. 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide, flow cytometry and transferase-mediated dUTP nick-end labeling (TUNEL) assays analyzed cell viability and apoptosis. The release of lactate dehydrogenase was tested via enzyme-linked immunosorbent assay (ELISA). Left anterior descending coronary artery surgery induced a MIRI mouse model. Infarct area was detected by 2,3,5-triphenyltetrazolium chloride staining. Hematoxylin and eosin staining examined myocardial injury. ELISA evaluated myocardial marker (creatine kinase MB) level. Results: PART1 was decreased in hypoxia/reoxygenation (H/R) induced AC16 cells and MIRI mice. PART1 upregulation attenuated the increased levels of Bax, beclin-1 and the ratio of LC3II/I, and enhanced the decrease of Bcl-2 and p62 expression in H/R-treated cells. PART1 upregulation alleviated H/R-triggered autophagy and apoptosis via miR-302a-3p. Mechanically, PART1 targeted miR-302a-3p to upregulate transcription factor activating enhancer-binding protein 2C (TFAP2C). TFAP2C silencing reversed the protected effects of miR-302a-3p inhibitor on H/R treated AC16 cells. We further established TFAP2C combined to dual-specificity phosphatase 5 (DUSP5) promoter and activated DUSP5. TFAP2C upregulation suppressed H/R-stimulated autophagy and apoptosis through upregulating DUSP5. Overexpressed PART1 reduced myocardial infarction area and attenuated MIRI in mice. Conclusion: PART1 improved the autophagy and apoptosis in H/R-exposed AC16 cells through miR-302a-3p/TFAP2C/DUSP5 axis, which might provide novel targets for MIRI treatment.