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ON WEAKLY 2-ABSORBING PRIMARY SUBMODULES OF MODULES OVER COMMUTATIVE RINGS

  • Darani, Ahmad Yousefian;Soheilnia, Fatemeh;Tekir, Unsal;Ulucak, Gulsen
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1505-1519
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    • 2017
  • Assume that M is an R-module where R is a commutative ring. A proper submodule N of M is called a weakly 2-absorbing primary submodule of M if $0{\neq}abm{\in}N$ for any $a,b{\in}R$ and $m{\in}M$, then $ab{\in}(N:M)$ or $am{\in}M-rad(N)$ or $bm{\in}M-rad(N)$. In this paper, we extended the concept of weakly 2-absorbing primary ideals of commutative rings to weakly 2-absorbing primary submodules of modules. Among many results, we show that if N is a weakly 2-absorbing primary submodule of M and it satisfies certain condition $0{\neq}I_1I_2K{\subseteq}N$ for some ideals $I_1$, $I_2$ of R and submodule K of M, then $I_1I_2{\subseteq}(N:M)$ or $I_1K{\subseteq}M-rad(N)$ or $I_2K{\subseteq}M-rad(N)$.

Regulatory Mechanism of Vascular Contractility by Extracellular $\textrm{K}^{+}$: Effect on Endothelium-Dependent Relaxation and Vascular Smooth Muscle Contractility (세포 외 $\textrm{K}^{+}$의한 혈관 수축신 조절 기전: 혈관평활근 수축성과 내피세포 의존성 이완에 미치는 영향)

  • 유지영;설근희;서석효;안재호
    • Journal of Chest Surgery
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    • v.37 no.3
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    • pp.210-219
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    • 2004
  • Extracellular $K^{+}$ concentration ([ $K^{+}$]$_{0}$ ) can be increased within several mM by the efflux of intracellular $K^{+}$. To investigate the effect of an increase in [ $K^{+}$]$_{0}$ on vascular contractility, we attempted to examine whether extracellular $K^{+}$ might modulate vascular contractility, endothelium-dependent relaxation (EDR) and intracellular $Ca^2$$^{+}$ concentration ([C $a^2$$^{+}$]$_{i}$ ) in endothelial cells (EC). We observed isometric contractions in rabbit carotid, superior mesenteric, basilar arteries and movse aorta. [C $a^2$$^{+}$]$_{i}$ was recorded by microfluorimeter using Fura-2/AM in EC. No change in contractility was recorded by the increase in [ $K^{+}$]$_{0}$ from 6 to 12 mM in conduit artery such as rabbit carotid artery. whereas resistant vessels, such as basilar and branches of superior mesenteric arteries (SMA), were relaxed by the increase. In basilar artery, the relaxation by the increase in [ $K^{+}$]$_{0}$ to from 1 to 3 mM was bigger than that by the increase from 6 to 12 mM. In contrast, in branches of SMA, the relaxation by the increase in [ $K^{+}$]$_{0}$ to from 6 to 12 mM is bigger than that by the increase from 1 to 3 mM. $Ba^2$$^{+}$ (30 $\mu$M) did not inhibit the relaxation by the increase in [ $K^{+}$]$_{0}$ from 1 to 3 mM but did inhibit the relaxation by the increase from 6 to 12 mM. In the mouse aorta without the endothelium or treated with $N^{G}$_nitro-L-arginine (30 $\mu$M), nitric oxide synthesis blocker, the increase in [ $K^{+}$]$_{0}$ from 6 to 12 mM did not change the magnitude of contraction induced either norepinephrine or prostaglandin $F_2$$_{\alpha}$. The increase in [ $K^{+}$]$_{0}$ up to 12 mM did not induce contraction of mouse aorta but the increase more than 12 mM induced contraction. In the mouse aorta, EDR was completely inhibited on increasing [ $K^{+}$]$_{0}$ from 6 to 12 mM. In cultured mouse aorta EC, [C $a^2$$^{+}$]$_{i}$ , was increased by acetylcholine or ATP application and the increased [C $a^2$$^{+}$]$_{i}$ , was reduced by the increase in [ $K^{+}$]$_{0}$ reversibly and concentration-dependently. In human umbilical vein EC, similar effect of extracellular $K^{+}$ was observed. Ouabain, a N $a^{+}$ - $K^{+}$ pump blocker, and N $i^2$$^{+}$, a N $a^{+}$ - $Ca^2$$^{+}$ exchanger blocker, reversed the inhibitory effect of extracellular $K^{+}$. In resistant arteries, the increase in [ $K^{+}$]$_{0}$ relaxes vascular smooth muscle and the underlying mechanisms differ according to the kinds of the arteries; $Ba^2$$^{+}$-insensitive mechanism in basilar artery and $Ba^2$$^{+}$ -sensitive one in branches of SMA. It also inhibits [C $a^2$$^{+}$]$_{i}$ , increase in EC and thereby EDR. The initial mechanism of the inhibition may be due to the activation of N $a^{+}$ - $K^{+}$pump. activation of N $a^{+}$ - $K^{+}$pump.p.p.p.

The functions of mTOR in ischemic diseases

  • Hwang, Seo-Kyoung;Kim, Hyung-Hwan
    • BMB Reports
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    • v.44 no.8
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    • pp.506-511
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    • 2011
  • Mammalian Target of Rapamycin (mTOR) is a serine/threonine kinase and that forms two multiprotein complexes known as the mTOR complex 1 (mTORC1) and mTOR complex 2 (mTORC2). mTOR regulates cell growth, proliferation and survival. mTORC1 is composed of the mTOR catalytic subunit and three associated proteins: raptor, mLST8/$G{\beta}L$ and PRAS40. mTORC2 contains mTOR, rictor, mLST8/$G{\beta}L$, mSin1, and protor. Here, we discuss mTOR as a promising anti-ischemic agent. It is believed that mTORC2 lies down-stream of Akt and acts as a direct activator of Akt. The different functions of mTOR can be explained by the existence of two distinct mTOR complexes containing unique interacting proteins. The loss of TSC2, which is upstream of mTOR, activates S6K1, promotes cell growth and survival, activates mTOR kinase activities, inhibits mTORC1 and mTORC2 via mTOR inhibitors, and suppresses S6K1 and Akt. Although mTOR signaling pathways are often activated in human diseases, such as cancer, mTOR signaling pathways are deactivated in ischemic diseases. From Drosophila to humans, mTOR is necessary for Ser473 phosphorylation of Akt, and the regulation of Akt-mTOR signaling pathways may have a potential role in ischemic disease. This review evaluates the potential functions of mTOR in ischemic diseases. A novel mTOR-interacting protein deregulates over-expression in ischemic disease, representing a new mechanism for controlling mTOR signaling pathways and potential therapeutic strategies for ischemic diseases.

Effect of Macro-nutrients for the Salidroside Production from Callus Cultures of Rhodiola sachalinesis A. Bor (참돌꽃의 캘러스로부터 salidroside 생산에 미치는 배지성분의 영향)

  • Lee, Jae-Seung;Choi, Hye-Jin;Hwang, Baik;Park, Hyoung-Jae;Ahn, Jun-Cheul;Hwang, Sung-Jin
    • Korean Journal of Medicinal Crop Science
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    • v.15 no.4
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    • pp.246-250
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    • 2007
  • Rhodiola sachalinensis A. Bor is a Chinese herb containing the natural compound salidroside, which has been known to possess medical properties such as enhancing bodies' ability to survive in adverse environments and extending human life. To improve a metabolite production from Rhodiola sachalinensis callus cultures, the concentrations of macro nutrients were investigated. To investigate the salidroside production in Rhodiola sachalinensis callus cultures, we analyzed salidroside content in each callus which was cultured in 30 $m{\ell}$ of $2\;{\times}\;B_5$ liquid medium for 4 weeks. The optimal concentrations of macro nutrients for salidroside production ($67.96\;{\pm}\;3.41\;mg/{\ell}$) were found to be 99 mM $KNO_3$, 1 mM $(NH_4)_2SO_4$, 2 mM $NaH_2PO_4{\cdot}2H_2O$, 2 mM $CaCl_2{\cdot}2H_2O$ and 1 mM $MgSO_4{\cdot}7H_2O$. From these results, we determined the more upgraded culture condition for industrial production of salidroside.

A Study on the Heat Hazard Assessment of Building Wood (건축용 목재의 열 유해성 평가에 대한 연구)

  • Woo, Tae-Young;Jin, Eui;Chung, Yeong-Jin
    • Fire Science and Engineering
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    • v.32 no.5
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    • pp.6-14
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    • 2018
  • This study was carried out with respect to the heat release rate (HRR) properties of building wood. Heat release characteristics were measured using a cone calorimeter (ISO 5660-1) with four kinds of wood. The time to ignition measured after the combustion in $25kW/m^2$ external heat flux was 35 to 55 s. Time to ignition of both lauan and red pine was marked with the most delayed value in each of 54 s, 55 s. The maximum heat release rate ($HRR_{peak}$) was $156.87{\sim}235.1kW/m^2$, and the risk of early fire was highest in spruce. Total heat release of red pine was obtained in the highest value with $114.2MJ/m^2$. The mean effective heat of combustion of Japanese cedar was 19.1 MJ/kg and the highest among the samples. Fire risk of wood by FPI was orderly increased from lauan ($0.2468s{\cdot}m^2/kW$), red pine ($0.2339s{\cdot}m^2/kW$), spruce ($0.2308s{\cdot}m^2/kW$) to Japanese cedar ($0.2231s{\cdot}m^2/kW$). Fire risk of wood by FGI get increased from lauan ($0.5088kW/m^2{\cdot}s$), red pine ($0.5111kW/m^2{\cdot}s$), Japanese cedar ($2.8522kW/m^2{\cdot}s$) to spruce ($3.0662kW/m^2{\cdot}s$). Therefore, the risk of fire on the heat release characteristics of woods were found that spruce and Japanese cedar showed the high value compared with the other specimens.

Heterogeneity of the SR-dependent Inward $Na^+-Ca^{2+}$ Exchange Current in the Heavily $Ca^{2+}-buffered$ Rat Ventricular Myocytes

  • Yoon, Kyung-Bong;Ahn, Sung-Wan;Ko, Chang-Mann
    • The Korean Journal of Physiology and Pharmacology
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    • v.8 no.2
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    • pp.101-110
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    • 2004
  • Voltage-sensitive release mechanism was pharmacologically dissected from the $Ca^{2+}-induced\;Ca^{2+}\;release$ in the SR $Ca^{2+}$ release in the rat ventricular myocytes patch-clamped in a whole-cell mode. SR $Ca^{2+}$ release process was monitored by using forward-mode $Na^+-Ca^{2+}$ exchange after restriction of the interactions between $Ca^{2+}$ from SR and $Na^+-Ca^{2+}$ exchange within micro-domains with heavy cytosolic $Ca^{2+}$ buffering with 10 mM BAPTA. During stimulation every 10 s with a pulse roughly mimicking action potential, the initial outward current gradually turned into a huge inward current of $-12.9{\pm}0.5\;pA/pF$. From the inward current, two different inward $I_{NCX}s$ were identified. One was $10\;{\mu}M$ ryanodine-sensitive, constituting $14.2{\pm}2.3%$. It was completely blocked by $CdCl_2$ (0.1 mM and 0.5 mM) and by $Na^+-depletion$. The other was identified by 5 mM $NiCl_2$ after suppression of $I_{CaL}$ and ryanodine receptor, constituting $14.8{\pm}1.6%$. This latter was blocked by either 10 mM caffeine-induced SR $Ca^{2+}-depletion$ or 1 mM tetracaine. IV-relationships illustrated that the latter was activated until the peak in $30{\sim}35\;mV$ lower voltages than the former. Overall, it was concluded that the SR $Ca^{2+}$ release process in the rat ventricular myocytes is mediated by the voltage-sensitive release mechanism in addition to the $Ca^{2+}-induced-Ca^{2+}\;release$.

Twenty Years of CCD Photometric Studies on Globular Clusters with the BOAO 1.8 m Telescope (보현산천문대 1.8 미터 망원경을 이용한 구상성단에 대한 CCD 측광 연구 20년)

  • Cho, Dong-Hwan;Lee, Sang-Gak;Yoon, Tae Seog;Sung, Hyun-Il
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.61.2-61.2
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    • 2016
  • 우리는 1997년부터 현재까지 보현산천문대 1.8 미터 망원경과 이 망원경에 부착한 1K CCD, 2K CCD와 4K CCD를 이용하여 가까운 북반구 구상성단에 대하여 (U)BVI CCD 측광 관측을 수행해오고 있다. 2K CCD를 통한 관측 자료를 통해서 우리는 북반구 구상성단 M3, M13, M15, M53과 M92의 정밀한 색-등급도를 도출할 수 있었다. 이 색-등급도를 통해서 M3, M13, M15와 M92의 경우는 밝은 계열 별(특히 점근거성가지별)의 특성 및 종족비(R과 R2)와 적색거성가지별의 광도함수를 유도하였고, M53과 M92의 경우는 상대나이를 유도함으로써 구상성단의 제 2 계수 문제를 규명하고자 하였다. 우리는 추가로 북반구 구상성단 M5, M10과 M71의 정밀한 색-등급도를 도출하여 밝은 계열 별의 특성을 규명하고 적색거성가 지별의 광도함수를 유도함으로써 종족 II 항성의 진화 문제를 연구하고자 한다. 현재 운영 중인 4K CCD를 통해서 구상성단 M2, M3, M5, M13, M15, M53, M71과 M92를 관측하고 있으며 2K CCD 경우보다 어두운 주계열성까지의 측광 자료 도출에 주목적이 있다($V{\approx}23$ 등급까지). 도출한 측광 자료를 2K CCD 측광 자료와 결합하여 북반구 구상성단 구성별의 고유운동 자료를 도출하고자 하며 이의 활용 방안에 대하여 논의하고자 한다. 더불어 그 동안 보현산천문대에서의 관측 여건에 대해서도 논의하고자 한다.

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Effects of $Cd^{2+}$ on the Contractility in the Antral Circular Muscle of Guinea-pig Stomach

  • Kim, Eui-Yong;Han, Jin
    • The Korean Journal of Physiology
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    • v.26 no.2
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    • pp.129-136
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    • 1992
  • The effects of $Cd^{2+}$ on spontaneous contraction, and the contractures induced by $0mM\;Na^+,\;60mM\;K^+\;and\;10^{-6}\;M$ acetylcholine, 1mM caffeine were studied in order to elucidate diverse actions of $Cd^{2+}$ on the $Ca^{2+}$ mobilization related with contractility in the antral circular muscle of guinea pig stomach. $Cd^{2+}$ inhibited the spontaneous contraction in a does dependent manner $(10^{-6}\;M\;10^{-4}\;M).\;Cd^{2+}\;(3{\times}10^{-5}M)$ suppressed 60 mM $K^+$ induced contracture composed or a phasic and a tonic response and the increased tonic response by the increased external $Ca^{2+}$ concentration. $Cd^{2+}$ also suppressed acetylcholine induced contracture composed of repetitive phasic and a tonic component and the increased tonic response by the increased external $Ca^{2+}$ concentration. Caffeine in the concentration of 1mM evoked contracture but $Cd^{2+}$ suppressed the contracture. $Cd^{2+}$ suppressed the amplitude of the $Na^+$ tee contracture dose dependently and the amplitude of $Na^+$ free contracture almost decreased to 20% of control amplitude in the concentration of $10^{-4}\;M\;Cd^{2+}$. From the above results, it is suggested that $Cd^{2+}$ may inhibit not only $Ca^{2+}$ influx via voltage sensitive, receptor operated $Ca^{2+}$ channel and Na/ca exchange but also intracellular $Ca^{2+}$ release from the sarcoplasmic reticulum in the antral circular muscle of guinea pig stomach.

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Low System Complexity Bit-Parallel Architecture for Computing $AB^2+C$ in a Class of Finite Fields $GF(2^m)$ (시스템 복잡도를 개선한 $GF(2^m)$ 상의 병렬 $AB^2+C$ 연산기 설계)

  • 변기령;김흥수
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.6
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    • pp.24-30
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    • 2003
  • This study focuses on the arithmetical methodology and hardware implementation of low system-complexity A $B^2$+C operator over GF(2$^{m}$ ) using the irreducible AOP of degree m. The proposed parallel-in parallel-out operator is composed of CS, PP, and MS modules, each can be established using the array structure of AND and XOR gates. The proposed multiplier is composed of (m+1)$^2$ 2-input AND gates and (m+1)(m+2) 2-input XOR gates. And the minimum propagation delay is $T_{A}$ +(1+$\ulcorner$lo $g_2$$^{m}$ $\lrcorner$) $T_{x}$ . Comparison result of the related A $B^2$+C operators of GF(2$^{m}$ ) are shown by table, It reveals that our operator involve more lower circuit complexity and shorter propagation delay then the others. Moreover, the interconnections of the out operators is very simple, regular, and therefore well-suited for VLSI implementation.

Corrosion Behavior of Hastelloy C-276 for Carbon-anode-based Oxide Reduction Applications

  • Jeon, Min Ku;Kim, Sung-Wook;Choi, Eun-Young
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.18 no.3
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    • pp.383-393
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    • 2020
  • The corrosion behavior of Hastelloy C-276 was investigated to identify its applicability for carbon-anode-based oxide reduction (OR), in which Cl2 and O2 are simultaneously evolved at the anode. Under a 30 mL·min-1 Cl2 + 170 mL·min-1 Ar flow, the corrosion rate was less than 1 g·m-2·h-1 up to 500℃, whereas the rate increased exponentially from 500 to 700℃. The effects of the Cl2-O2 composition on the corrosion rate at flow rates of 30 mL·min-1 Cl2, 20 mL·min-1 Cl2 + 10 mL·min-1 O2, and 10 mL·min-1 Cl2 + 20 mL·min-1 O2 with a constant 170 mL·min-1 Ar flow rate at 600℃ was analyzed. Based on the data from an 8 h reaction, the fastest corrosion rate was observed for the 20 mL·min-1 Cl2 + 10 mL·min-1 O2 case, followed by 30 mL·min-1 Cl2 and 10 mL·min-1 Cl2 + 20 mL·min-1 O2. The effects of the chlorine flow rate on the corrosion rate were negligible within the 5-30 mL·min-1 range. A surface morphology analysis revealed the formation of vertical scratches in specimens that reacted under the Cl2-O2 mixed gas condition.