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ON n-TUPLES OF TENSOR PRODUCTS OF p-HYPONORMAL OPERATORS

  • Duggal, B.P.;Jeon, In-Ho
    • The Pure and Applied Mathematics
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    • v.11 no.4
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    • pp.287-292
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    • 2004
  • The operator $A \; {\in} \; L(H_{i})$, the Banach algebra of bounded linear operators on the complex infinite dimensional Hilbert space $\cal H_{i}$, is said to be p-hyponormal if $(A^\ast A)^P \geq (AA^\ast)^p$ for $p\; \in \; (0,1]$. Let (equation omitted) denote the completion of (equation omitted) with respect to some crossnorm. Let $I_{i}$ be the identity operator on $H_{i}$. Letting (equation omitted), where each $A_{i}$ is p-hyponormal, it is proved that the commuting n-tuple T = ($T_1$,..., $T_{n}$) satisfies Bishop's condition ($\beta$) and that if T is Weyl then there exists a non-singular commuting n-tuple S such that T = S + F for some n-tuple F of compact operators.

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Association of ionized magnesium, total magnesium, gestational age, and intraventricular hemorrhage in preterm babies (미숙아에서 이온화 마그네슘, 총 마그네슘과 재태 연령과의 관계 및 뇌실 내 출혈과의 관계)

  • Kim, Tae-Yeon;Lee, Hyun-Hee;Sung, Tae-Jung
    • Clinical and Experimental Pediatrics
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    • v.52 no.10
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    • pp.1140-1146
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    • 2009
  • Purpose:The pathophysiology of magnesium, the second highest common compound in humans, is still unclear, especially in preterm babies. We accessed the association between total magnesium (tMg), ionized Mg (iMg), and gestational age (GA) and that between serum magnesium (sMg) and intraventricular hemorrhage (IVH) in preterm babies. Methods:In all, 119 inborn preterm infants admitted between July 2006 and February 2008 were divided into the IVH group (19) and the control group (100) and were prospectively analyzed. TMg, iMg, pH, total calcium (tCa), and ionized Ca (iCa) levels were determined immediately after delivery or within 3 hours after birth, and their correlation with GA were investigated. Results:TMg was not correlated with GA, tCa, iCa, and pH. IMg was correlated with tMg (r=0.288, P=0.002) and iCa (r=0.212, P=0.021); however, it was not correlated with GA and pH. Mean GA and birth weight were significantly lower (P=0.002) and smaller (P=0.030) in the IVH group. Mean sMg was higher in the IVH group ($2.5{\pm}0.9mg/dL$) than in the control group ($2.1{\pm}0.6mg/dL$) (P=0.021). SMg was a risk factor even after logistic regression analysis (OR, 2.798; 95% C.I., 1.265-6.192; P=0.011). Conclusion:In less than 37-week-old preterm babies, tMg and iMg were similar, regardless of GA. High sMg may be a risk factor for IVH in premature babies, regardless of their exposure to antenatal magnesium.

α1-adrenoceptor stimulation increases intracellular pH and Na+ via Na+-H+ exchange in guinea pig papillary muscle (기니픽 유두근에서 α1-adrenoceptor 자극에 의한 세포내 pH와 Na+ 증가는 Na+-H+ 교환기를 경유)

  • Kim, Jin-sang
    • Korean Journal of Veterinary Research
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    • v.35 no.2
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    • pp.229-236
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    • 1995
  • The effect of ${\alpha}_1$-adrenoceptor(${\alpha}_1$-AR) stimulation on intracellular pH($pH_i$), $Na^+$ activity($a_{Na}{^i}$) and contractility were investigated in isolated papillary muscles of euthyroid or hyperthyroid guinea pig with conventional microelectrode, $Na^+$ or $H^+$-selective microelectrodes, and tension transducer. Stimulation of the ${\alpha}_1$-AR by phenylephrine produced a decrease in $a_{Na}{^i}$ in euthyroid preparations. This decrease in $a_{Na}{^i}$ was abolished in presence of PKC activator, phorbol dibutyrate, and increased contrary to decrease. Phenylephrine also increased $a_{Na}{^i}$ in hyperthyroid ones. However, phenylrephtine produced an increase in $pH_i$ in both euthyroid and hyperthyroid ones. These changes were blocked by prazosin, an antagonist of ${\alpha}_1$-AR. These findings suggest that the changes in $a_{Na}{^i}$ and $pH_i$ are mediated by a stimulation of $Na^+-H^+$ exchange via ${\alpha}_1$-AR stimulation. This study focused on the increase in $a_{Na}{^i}$, $pH_i$ and contractility. The increase in $pH_i$ was blocked by amiloride or EIPA, $Na^+-H^+$ exchange inhibitors. Therefore, the increase in $a_{Na}{^i}$ and $pH_i$ mediated by ${\alpha}_1$-AR appeared to be due to an influx of $Na^+$ and a reduction of $H^+$ through $Na^+-H^+$ exchange. This study also revealed that the increase in $pH_i$ and $a_{Na}{^i}$ might be related to the sustained positive inotropic response. The $a_{Na}{^i}$ increase may contribute to the intracellular $Ca^{2+}$ through the $Na^+-Ca^{2+}$ exchange, and the $pH_i$ increase could cause an increase in the $Ca^{2+}$ sensitivity of myofilaments and may augment the ${\alpha}_1$-AR-mediated positive inotropic response.

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Characterization of the Restriction Endonuclease Bki I from Brevibacterium divaricatum (Brevibacterium divaricatum의 제한효소 Bdi I의 특성)

  • 김용석;노현모
    • Korean Journal of Microbiology
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    • v.24 no.1
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    • pp.18-23
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    • 1986
  • A new type II restriction endonuclease, Bdi I, has been isolated from Brenibacterium divaricatum FERM 5948 by procedures of ammonium sulfate fractionation, DEAE-cellulose chromatography and heparin agarose chromatography. The purified Bdi I restriction endonudlease had the same cleavage patterns of Cla I whose recognition sequence is 5' ATCGAT 3'. From the result that ${\lambda}-Cla$ I DNA frahment could be cloned in pBR 322 digested with Bdi I, it has been proven that Bdi I cuts between T and C(5' AT/CGAT3') within the recognition sequence and produces 5'pCG cohesive end. The optimal temperature for the Bdi I restriction endonuclease activity was $37^{\circ}C$, and optimal salt (NaCl) concentration was 50-100 mM.

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Relationship between Calcium/Inorganic Phosphorus and Parathyroid Hormone Concentrations in Dogs with Renal Failure (신부전증의 개에서 혈중 칼슘/무기인과 부갑상샘 호르몬의 관계)

  • Kang, Dong-Joon;Lee, Soo-Han;Park, Hee-Myung;Chung, Byung-Hyun
    • Journal of Veterinary Clinics
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    • v.25 no.4
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    • pp.236-240
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    • 2008
  • Parathyroid hormone (PTH) regulates calcium (Ca) and phosphate transport. Secondary hyperparathyroidism usually occur in chronic renal failure (CRF), and it is a common complication of CRF in dogs and cats. Twenty one dogs with renal failure were enrolled in this study. Plasma Ca, inorganic phosphorus (iP) and PTH concentrations were measured. Dogs were divided into two groups by the ratio of Ca to iP (Ca/iP$\leq$1; Group I, Ca/iP$\leq$1.5; Group II). The PTH level between sexes ages were not significantly different. The PTH level and Ca/iP between two groups were significantly different (p < 0.0001). In conclusion, The ratio of Ca to iP may be considered as useful surrogator to predict PTH level of dogs with renal failure.

GENERALIZED LOCAL COHOMOLOGY AND MATLIS DUALITY

  • Abbasi, Ahmad
    • Honam Mathematical Journal
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    • v.30 no.3
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    • pp.513-519
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    • 2008
  • Let (R, m) be a Noetherian local ring with maximal ideal m, E := $E_R$(R/m) and let I be an ideal of R. Let M and N be finitely generated R-modules. It is shown that $H^n_I(M,(H^n_I(N)^{\vee})){\cong}(M{\otimes}_RN)^{\vee}$ where grade(I, N) = n = $cd_i$(I, N). We also show that for n = grade(I, R), one has $End_R(H^n_I(P,R)^{\vee}){\cong}Ext^n_R(H^n_I(P,R),P^*)^{\vee}$.

MULTIPLICITY OF POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL P-LAPLACIAN

  • Zhang, Youfeng;Zhang, Zhiyu;Zhang, Fengqin
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1211-1220
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    • 2009
  • In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian $({\phi}_p(u'))'$(t)+q(t)f(t,u(t),u'(t))=0, t $\in$ (0, 1), subject to the boundary conditions: $u(0)=\sum\limits_{i=1}^{n-2}{\alpha}_iu({\xi}_i),\;u(1)=\sum\limits_{i=1}^{n-2}{\beta}_iu({\xi}_i)$ where $\phi_p$(s) = $|s|^{n-2}s$, p > 1, $\xi_i$ $\in$ (0, 1) with 0 < $\xi_1$ < $\xi_2$ < $\cdots$ < $\xi{n-2}$ < 1 and ${\alpha}_i,\beta_i{\in}[0,1)$, 0< $\sum{\array}{{n=2}\\{i=1}}{\alpha}_i,\sum{\array}{{n=2}\\{i=1}}{\beta}_i$<1. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

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Emergence and Structure of Complex Mutualistic Networks

  • Lee, KyoungEun;Jung, Nam;Lee, Hyun Min;Maeng, Seung Eun;Lee, Jae Woo
    • Proceedings of the National Institute of Ecology of the Republic of Korea
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    • v.3 no.3
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    • pp.149-153
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    • 2022
  • The degree distribution of the plant-pollinator network was identified by analyzing the data in the ecosystem and reproduced by a model of the growing bipartite mutualistic networks. The degree distribution of pollinator shows power law or stretched exponential distribution, while plant usually shows stretched exponential distribution. In the growth model, the plant and the pollinator are selected with probability Pp and PA=1-Pp, respectively. The number of incoming links for the plant and the pollinator is lp and lA, respectively. The probability that the link of the plant selects the pollinator of the existing network given as $A_{k_i}=k^{{\lambda}_A}_i/{\sum}_i\;k^{{\lambda}_A}_i$, and the probability that the pollinator selects the plant is $P_{k_i}=k^{{\lambda}_p}_i/{\sum}_i\;k^{{\lambda}_p}_i$. When the nonlinear growth index is 𝛌X=1 (X=A or P), the degree distribution follows a power law, and if 0≤𝛌X<1, the degree distribution follows a stretched exponential distribution. The cumulative degree distributions of plants and pollinators of 14 empirical plant-pollinators included in Interaction Web Database were calculated. A set of parameters (PA,PP,lA,lP) that reproduces these cumulative degree distributions and a growth index 𝛌X (X=A or P) were obtained. We found that animal takes very heterogenous connections, whereas plant takes a more flexible connection network.

Phosphorylation of 44-kilodalton Proteins in Peripheral T-lymphocyte of Rat (흰쥐 말초 혈액 림프구의 분자량 44 kD 단백의 인산화)

  • Ahn, Young-Soo;Jou, Il-O;Oh, Do-Yeun;Lim, Seung-Wook;Park, Kyung-Sun
    • The Korean Journal of Pharmacology
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    • v.27 no.2
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    • pp.135-144
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    • 1991
  • Using T-lymphocytes obtained from rat peripheral blood, we found that the 44kD/pI6.8 protein was the major phosphoprotein of T-lymphocytes under basal condition, and that the 44kD/pI6.3 protein was a new phosphoprotein appeared in T-lymphocytes stimulated with ${\beta}-agonist$. The phosphorylation of the 44kD/pI6.3 protein was also induced by forskolin but inhibited by H-8 pretreatment. To clarify the character of the 44kD/pI6.3 protein, we used Con-A and kinase inhibitors, H-7 and W-7. Con-A stimulation induced phosphorylation of 44kD/pI 6.3 protein but that was inhibited by W-7 pretreatment. The phosphorytation of 44kD/pI6.3 protein was not induced by the PKC activator, PMA. Instead, the phosphorylation of 44kD/pI6.8 protein was reduced by H-7, a PKC inhibitor. From the above results,it can be concluded that the 44kD/pI6.3 protein can be a common substrate for A-kinase and CaM kinase. The two dimensional tryptic peptide mapping revealed that the 44kD/pI6.8 and 44kD/pI6.3 proteins are different.

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