• 대한수학회보
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• 제51권6호
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• pp.1841-1850
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• 2014

It is known that the ranks of the semigroups $\mathcal{SOP}_n$, $\mathcal{SPOP}_n$ and $\mathcal{SSPOP}_n$ (the semigroups of orientation preserving singular self-maps, partial and strictly partial transformations on $X_n={1,2,{\ldots},n}$, respectively) are n, 2n and n + 1, respectively. The idempotent rank, defined as the smallest number of idempotent generating set, of $\mathcal{SOP}_n$ and $\mathcal{SSPOP}_n$ are the same value as the rank, respectively. Idempotent can be seen as a special case (with m = 1) of m-potent. In this paper, we investigate the m-potent ranks, defined as the smallest number of m-potent generating set, of the semigroups $\mathcal{SOP}_n$, $\mathcal{SPOP}_n$ and $\mathcal{SSPOP}_n$. Firstly, we characterize the structure of the minimal generating sets of $\mathcal{SOP}_n$. As applications, we obtain that the number of distinct minimal generating sets is $(n-1)^nn!$. Secondly, we show that, for $1{\leq}m{\leq}n-1$, the m-potent ranks of the semigroups $\mathcal{SOP}_n$ and $\mathcal{SPOP}_n$ are also n and 2n, respectively. Finally, we find that the 2-potent rank of $\mathcal{SSPOP}_n$ is n + 1.

• The Korean Journal of Physiology and Pharmacology
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• 제16권5호
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• pp.327-332
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• 2012

Sertraline is a commonly used antidepressant of the selective serotonin reuptake inhibitors (SSRIs) class. In these experiments, we have used the whole cell patch clamp technique to examine the effects of sertraline on the major cardiac ion channels expressed in HEK293 cells and the native voltage-gated $Ca^{2+}$ channels in rat ventricular myocytes. According to the results, sertraline is a potent blocker of cardiac $K^+$ channels, such as hERG, $I_{Ks}$ and $I_{K1}$. The rank order of inhibitory potency was hERG > $I_{K1}$ > $I_{Ks}$ with $IC_{50}$ values of 0.7, 10.5, and 15.2 ${\mu}M$, respectively. In addition to $K^+$ channels, sertraline also inhibited $I_{Na}$ and $I_{Ca}$, and the $IC_{50}$ values are 6.1 and 2.6 ${\mu}M$, respectively. Modification of these ion channels by sertraline could induce changes of the cardiac action potential duration and QT interval, and might result in cardiac arrhythmia.

• Archives of Pharmacal Research
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• 제28권1호
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• pp.61-67
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• 2005

We evaluated the antiplatelet effects of two classes of ATP-sensitive potassium channel openers $(K_{ATP}\;openers)$ on washed human platelets, and the study's emphasis was on the role of mitochondrial $K_{ATP}$ in platelet aggregation. Collagen-induced platelet aggregation was inhibited in a dose dependent manner by lemakalim and SKP-450, which are potent cardio-nonselective $K_{ATP}$ openers, and also by cardioselective BMS-180448 and BMS-191095 $(IC_{50}\;:\;1,130,\;>\;1,500,\;305.3\;and\;63.9\;{\mu}M,\;respectively)$, but a significantly greater potency was noted for the cardioselective $K_{ATP}$ openers. The latter two $K_{ATP}$ openers also inhibited platelet aggregation induced by thrombin, another important blood-borne platelet activator, with similar rank order of potency $(IC_{50}\;:\;498.0\;and\;104.8{\mu}M\; for\;BMS-180448\;and\;BMS-191095,\;respectively)$. The inhibitory effects of BMS-191095 on collagen-induced platelet aggregation were significantly blocked by a 30-min pretreatment of platelets with glyburide $(1{\mu}M)$ or sodium 5-hydroxyde­canoate$(5-HD,\;100{\mu}M)$, a nonselective and selective mitochondrial $K_{ATP}$ antagonist, respectively, at similar magnitudes; this indicates the role of mitochondrial $K_{ATP}$ in the antiplatelet activity of BMS-191095. However, glyburide and 5-HD had no effect when they were added to the platelet cuvette immediately prior to the addition of BMS-191095. These findings indicate that cardioselective mitochondrial $K_{ATP}$ openers like BMS-191095 are able to exert cardioprotective effects in cardiac ischemia/reperfusion injury via dual mechanisms directed at the inhibition of platelet aggregation and the protection of cardiomyocytes, and both these mechanisms are mediated by mitochondrial$K_{ATP}$.

• 대한약리학회지
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• 제28권2호
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• pp.147-162
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• 1992

Pancreatic polypeptide family펩타이드들의 뇌혈관 평활근 수축성에 미치는 효과를 관찰하고, cyclic nucleotide 활성제 및 칼륨통로개방제와의 상호작용을 관찰하기 위하여 다음과 같은 실험을 하였다. 체중 $20{\sim}30\;g$의 개를 사혈 희생시켜 두개골을 절개한 후 뇌저동맥과 중뇌동맥을 적출하였다. 적출된 동맥편은 $4^{\circ}C$의 생리적식염수 내에서 나선형 절편으로 만들어 0.3%의 CHAPS 용액에 침잠시킴으로써 내피세포층을 제거한 후 95% $O_2$와 5% $CO_2$의 혼합기체로 포화된 $37^{\circ}C$의 Krebs-Henseleit 용액을 포함한 적출근편실험조에서 등척성 장력을 측정하였다. 1. PP, PYY 및 NPY는 뇌동맥 나선형절편을 농도의존적으로 수축시켰으며, 그 효력과 효능은 PYY가 가장 강하였고, 그 다음이 NPY, 그리고 PP의 순이었다. 이들의 효력은 노르아드레날린보다 20내지 200배 강하였으며, 그 중 PYY는 5-HT 보다도 강한 효력을 보였다. 2. Cyclic AMP 활성제인 forskolin과 cyclic GMP 활성제인 sodium nitroprusside는 뇌동맥절편의 기본장력을 감소시켰으며, PP, PYY 및 NPY 유발수축 역시 농도의존적으로 억제하였다. 이 때 forskolin의 기본장력억제작용이 sodium nitroprusside보다 강한 효력을 나타내었다. 3. 칼륨통로 개방제인 RP 49356, P 1060 및 BRL 38227은 기본장력에 대해서는 공히 농도의존적으로 억제하였으나, PP, PYY 및 NPY 유발수축에 대해서는 P 1060만이 농도의존적으로 억제하였고, RP 49356 및 BRL 38227은 약간 억제하는 경향만을 보였는데, 특기할 것은 저농도의$(0.1\;{\mu}M)$ BRL 38227이 이들 펩타이드 유발수축을 오히려 증가 시켰다는 것이다. 4. 기본장력에 대해서, 칼륨통로개방제들은 forskolin의 이완작용에 유의한 영향을 미치지 못하였으나, 그중 P 1060과 BRL 38227은 sodium nitroprusside의 이완작용을 상승적으로 강화하였다. PYY$(0.1\;{\mu}M)$유발 수축작용에 대해서, 칼륨통로 개방제들은 forskolin의 수축억제작용에 대해서는 약간 길항하는 경향만을 보였고, sodium nitroprusside의 수축억제작용은 유의하게 길항하였다. 이상의 결과들을 종합하면, 개의 뇌혈관에서는 NPY 뿐만 아니라 PYY도 혈관수축기전에 중요한 역할을 한다고 볼 수 있으며, 그 수축작용의 기전에는 세포내 cAMP 및 cGMP 활성도의 변화가 포함된다고 사료된다. 또 칼륨통로개방제들은 pancreatic polypeptide family의 뇌혈관수축작용에 대하여 제제 및 농도에 따라 다양한 영향을 미치므로 이에 대한 향후의 더욱 세밀한 연구가 요구된다.