• Journal of Microbiology and Biotechnology
• /
• 제9권2호
• /
• pp.196-200
• /
• 1999

A recombinant human $\alpha_{s1}$-casein was expressed as a secretory product in the yeast Saccharomyces cerevisiae. Three different leader sequences derived from the mating factor $\alpha$l (MF$\alpha$l), inulinase, and human $\alpha_{s1}$-casein were used to direct the secretion of human $\alpha_{s1}$-casein into the extracellular medium. Among the three leader sequences tested, the native leader sequence of human $\alpha_{s1}$-casein was found to be the most efficient in the secretory expression of human $\alpha_{s1}$-casein, which implies that the native leader sequence of human $\alpha_{s1}$-casein might be used very efficiently for the secretory production of other heterologous proteins in yeast. The recombinant human $\alpha_{s1}$-casein was proteolytically cleaved as the culture proceeded. Therefore, an attempt was made to produce human $\alpha_{s1}$-casein using a S. cerevisiae mutant in which the YAP3 gene encoding yeast aspartic protease 3 (YAP3) was disrupted. After 72 h of culture, most of the human $\alpha_{s1}$-casein secreted by the wild type was cleaved, whereas more than 70% of the human $\alpha_{s1}$-casein secreted by yap3-disruptant remained intact. The results suggest that YAP3 might be involved in the internal cleavage of human $\alpha_{s1}$-casein expressed in yeast

• 호남수학학술지
• /
• 제39권2호
• /
• pp.297-305
• /
• 2017

Let ${\alpha}$ > 0 be a real number and $(s_{\alpha}(n))_{n{\geq}1}$ be the lexicographically greatest Sturmian word of slope ${\alpha}$. We investigate Dirichlet series of the form ${\sum}^{\infty}_{n=1}s_{\alpha}(n)n^{-s}$. To do this, a generalization of Euler's totient function is required. For a real ${\alpha}$ > 0 and a positive integer n, an arithmetic function ${\varphi}{\alpha}(n)$ is defined to be the number of positive integers m for which gcd(m, n) = 1 and 0 < m/n < ${\alpha}$. Under a condition Re(s) > 1, this paper establishes an identity ${\sum}^{\infty}_{n=1}s_{\alpha}(n)n^{-S}=1+{\sum}^{\infty}_{n=1}{\varphi}_{\alpha}(n)({\zeta}(s)-{\zeta}(s,1+n^{-1}))n^{-s}$.

• Biomolecules & Therapeutics
• /
• 제26권3호
• /
• pp.268-273
• /
• 2018

Sleep is the most basic and essential physiological requirement for mental health, and sleep disorders pose potential risks of metabolic and neurodegenerative diseases. Tryptic hydrolysate of ${\alpha}_{S1}$-casein (${\alpha}_{S1}-CH$) has been shown to possess stress relieving and sleep promoting effects. However, the differential effects of ${\alpha}_{S1}-CH$ on electroencephalographic wave patterns and its effects on the protein levels of ${\gamma}$-aminobutyric acid A ($GABA_A$) receptor subtypes in hypothalamic neurons are not well understood. We found ${\alpha}_{S1}-CH$ (120, 240 mg/kg) increased sleep duration in mice and reduced sleep-wake cycle numbers in rats. While ${\alpha}_{S1}-CH$ (300 mg/kg) increased total sleeping time in rats, it significantly decreased wakefulness. In addition, electroencephalographic theta (${\theta}$) power densities were increased whereas alpha (${\alpha}$) power densities were decreased by ${\alpha}_{S1}-CH$ (300 mg/kg) during sleep-wake cycles. Furthermore, protein expressions of $GABA_A$ receptor ${\beta}_1$ subtypes were elevated in rat hypothalamus by ${\alpha}_{S1}-CH$. These results suggest ${\alpha}_{S1}-CH$, through $GABA_A$ receptor modulation, might be useful for treating sleep disorders.

• 한국수산과학회지
• /
• 제14권4호
• /
• pp.269-275
• /
• 1981

연근해 어업용 낚시 6가지형에 대하여 만능실험기로 인장속도를 290mm/min와 780mm/min로 하여 실험한 결과는 다음과 같다. 1) 낚시의 직경은 d, 미늘 기부에서 허리굽이까지의 거리를 w라 하면 낚시의 파단하중은 $B={\alpha}\;wd^2+\beta$ (단, B는 kg, w와 d는 mm)로 나타내며, 인장연도가 290mm/min 일 때의 $\alpha,\;\beta$는 둥근형 낚시 $SR_{p}-F_{1}B,\;SR_{p}-F_{1}S$는 $\alpha_{s}=0.5,\;\beta_{s}=1.6$, 모난형 낚시 $SA_{a}-F_{1}S,\;SA_{a}-F_{1}S_k,\;LA_{a}-F_{1}S_{k}$는 $\alpha_{s}=1.1,\;\beta_{s}=2.0$긴 낚시 $LA_{p}-F_{1}S$는 $\alpha_{s}=0.4,\;\beta_{s}=1.5$정도이다. 2) 인장속도가 780mm/min 일 때 윗식에서 $\alpha,\;\beta$는 둥근형 낚시는 $\alpha_{f}=0.4,\;\beta_{f}=1.4$모난형 낚시는 $\alpha_{f}=1.0$ 일본산은 $\beta_{f}=0.9$, 국산은 $\beta_{f}=-2.5$ 긴 낚시는 $\alpha_{=}0.6,\;\beta_{f}=0.4$ 정도이다. 3) 낚시의 파단변형률은 $40\sim60\%$ 정도이며, 인장속도가 빠를 때의 변형률은 느릴 때에의 $95\%$ 정도이나, 빠를 때의 파단하중은 느릴 때의 $80\%$ 정도이다. 4) 낚시가 파단되는 부위는 인장속도에 관계없이 거의 모두 허리굽이 부분이며 꼭지 기부에서 파단점까지의 거리는 낚시 길이와 거의 같다.

• 대한수학회지
• /
• 제56권4호
• /
• pp.1049-1061
• /
• 2019

For ${\alpha}{\geq}1$, let $s_{\alpha}(n)={\lceil}{\alpha}n{\rceil}-{\lceil}{\alpha}(n-1){\rceil}$. A continued fraction $C({\alpha})=[0;s_{\alpha}(1),s_{\alpha}(2),{\ldots}]$ is considered and analyzed. Appealing to Diophantine approximation, we investigate the differentiability of $C({\alpha})$, and then show its singularity.

• 대한수학회지
• /
• 제41권1호
• /
• pp.209-229
• /
• 2004

Let $\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha},\;z\;{\in}\;{\mathbb{C}}^n$ be a unimodular m-homogeneous polynomial in n variables (i.e. $$\mid$s_{\alpha}$\mid$\;=\;1$ for all multi indices $\alpha$), and let $R\;{\subset}\;{\mathbb{C}}^n$ be a (bounded complete) Reinhardt domain. We give lower bounds for the maximum modules $sup_{z\;{\in}\;R\;$\mid$\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha}$\mid$$, and upper estimates for the average of these maximum moduli taken over all possible m-homogeneous Bernoulli polynomials (i.e. $s_{\alpha}\;=\;{\pm}1$ for all multi indices $\alpha$). Examples show that for a fixed degree m our estimates, for rather large classes of domains R, are asymptotically optimal in the dimension n.

• East Asian mathematical journal
• /
• 제21권1호
• /
• pp.61-64
• /
• 2005

Let R be a commutative ring with identity, and let $f,\;g_i(i=1,\;\ldots,\;n),\;g_{\alpha}(\alpha{\in}S)$ be elements of R. We show that the following statements are equivalent; (i) $X_f{\subseteq}{\cup}_{\alpha{\in}S}X_{g\alpha}$ only if $X_f{\subseteq}X_{g\alpha}$ for some $\alpha{\in}S$, (ii) $V(f){\subseteq}{\cup}_{\alpha{\in}S}V(g_{\alpha})$ only if $V(f){\subseteq}V(g_{\alpha})$ for some $\alpha{\in}S$, (iii) $V(f){\subseteq}{\cup}^n_{i=1}V(g_i)$ only if $V(f){\subseteq}V(g_i)$ for some i, (iv) Spec(R) is linearly ordered under inclusion.

• 한국컴퓨터정보학회논문지
• /
• 제20권8호
• /
• pp.29-33
• /
• 2015

This paper proposes a discrete logarithm algorithm that remarkably reduces the execution time of Pollard's Rho algorithm. Pollard's Rho algorithm computes congruence or collision of ${\alpha}^a{\beta}^b{\equiv}{\alpha}^A{\beta}^B$ (modp) from the initial value a = b = 0, only to derive ${\gamma}$ from $(a+b{\gamma})=(A+B{\gamma})$, ${\gamma}(B-b)=(a-A)$. The basic Pollard's Rho algorithm computes $x_i=(x_{i-1})^2,{\alpha}x_{i-1},{\beta}x_{i-1}$ given ${\alpha}^a{\beta}^b{\equiv}x$(modp), and the general algorithm computes $x_i=(x_{i-1})^2$, $Mx_{i-1}$, $Nx_{i-1}$ for randomly selected $M={\alpha}^m$, $N={\beta}^n$. This paper proposes 4-model Pollard Rho algorithm that seeks ${\beta}_{\gamma}={\alpha}^{\gamma},{\beta}_{\gamma}={\alpha}^{(p-1)/2+{\gamma}}$, and ${\beta}_{{\gamma}^{-1}}={\alpha}^{(p-1)-{\gamma}}$) from $m=n={\lceil}{\sqrt{n}{\rceil}$, (a,b) = (0,0), (1,1). The proposed algorithm has proven to improve the performance of the (0,0)-basic Pollard's Rho algorithm by 71.70%.

• Biomolecules & Therapeutics
• /
• 제26권5호
• /
• pp.487-493
• /
• 2018

Cluster of differentiation 44 (CD44), a cell surface receptor for hyaluronic acid (HA), is involved in aggressive cancer phenotypes. Herein, we investigated the role of the CD44 standard isoform (CD44s) in hypoxia-inducible $factor-1{\alpha}$ ($HIF-1{\alpha}$) regulation using MCF7 overexpressing CD44s (pCD44s-MCF7). When pCD44s-MCF7 was incubated under hypoxia, levels of $HIF-1{\alpha}$, vascular endothelial growth factor, and the $HIF-1{\alpha}$ response element-derived luciferase activity were significantly increased compared to those in the control MCF7. Incubation of pCD44s-MCF7 cells with HA further increased $HIF-1{\alpha}$ accumulation, and the silencing of CD44s attenuated $HIF-1{\alpha}$ elevation, which verifies the role of CD44s in $HIF-1{\alpha}$ regulation. In addition, the levels of phosphorylated extracellular signal-regulated kinase (ERK) was higher in hypoxic pCD44s-MCF7 cells, and $HIF-1{\alpha}$ accumulation was diminished by the pharmacological inhibitors of ERK. CD44s-mediated $HIF-1{\alpha}$ augmentation resulted in two functional outcomes. First, pCD44s-MCF7 cells showed facilitated cell motility under hypoxia via the upregulation of proteins associated with epithelial-mesenchymal transition, such as SNAIL1 and ZEB1. Second, pCD44s-MCF7 cells exhibited higher levels of glycolytic proteins, such as glucose transporter-1, and produced higher levels of lactate under hypoxa. As a consequence of the enhanced glycolytic adaptation to hypoxia, pCD44s-MCF7 cells exhibited a higher rate of cell survival under hypoxia than that of the control MCF7, and glucose deprivation abolished these differential responses of the two cell lines. Taken together, these results suggest that CD44s activates hypoxia-inducible $HIF-1{\alpha}$ signaling via ERK pathway, and the $CD44s-ERK-HIF-1{\alpha}$ pathway is involved in facilitated cancer cell viability and motility under hypoxic conditions.

• 대한수학회논문집
• /
• 제10권4호
• /
• pp.875-880
• /
• 1995

Let $S_p(\alpha)$ denote the class of the Spirallike functions of order $\alpha, 0 < $\mid$\alpha$\mid$ < \frac{\pi}{2}$ Let $\Pi_N$ denote the subset of $S_p(\alpha)$ consisting of all products $z\Pi^N_{j=1}(1-u_j z)^{-mt_j}$ where $m = 1 + e^{-2i\alpha},$\mid$u_j$\mid$ = 1, t_j > 0$ for $j = 1, \cdots, N$ and $\sum^{N}_{j=1}{t_j = 1}$. In this paper we prove that extreme points of $S_p(\alpha)$ may be found which lie in $\Pi_N$ for some $N \geq 2$. We are let to conjecture that all exreme points of $S_p(\alpha)$ lie in $\Pi_N$ for somer $N \geq 1$ and that every such function is an extreme point.