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A NOTE ON LINEAR COMBINATIONS OF AN IDEMPOTENT MATRIX AND A TRIPOTENT MATRIX

  • Yao, Hongmei;Sun, Yanling;Xu, Chuang;Bu, Changjiang
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1493-1499
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    • 2009
  • Let $A_1$ and $A_2$ be nonzero complex idempotent and tripotent matrix, respectively. Denote a linear combination of the two matrices by A = $c_1A_1$ + $c_2A_2$, where $c_1,\;c_2$ are nonzero complex scalars. In this paper, under an assumption of $A_1A_2$ = $A_2A_1$, we characterize all situations in which the linear combination is tripotent. A statistical interpretation of this tripotent problem is also pointed out. Moreover, In [2], Baksalary characterized all situations in which the above linear combination is idem-potent by using the property of decomposition of a tripotent matrix, i.e. if $A_2$ is tripotent, then $A_2$ = $B_1-B_2$, where $B^2_i=B_i$, i = 1, 2 and $B_1B_2=B_2B_1=0$. While in this paper, by utilizing a method different from the one used by Baksalary in [2], we prove the theorem 1 in [2] again.

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Constituents of the Herb of Isodon excisus var. coreanus

  • Kim, Ho-Kyoung;Whang, Wan-Kyunn;Kim, Il-Hyuk
    • Archives of Pharmacal Research
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    • v.20 no.3
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    • pp.291-296
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    • 1997
  • The studies were carried out to evaluate the constituents in the aerial part of Isodon excisus var. coreanus (Labiatae). From the aqueous fraction of methanol extract, compound I (${\alpha}$-[[3-(3, 4-dihydroxyphenyl)-1-oxo-2-propenyl]oxy]-3,4-dihydroxy-benzenepropanoic acid), compound II (9-methyl-dihydroferulic acid-4-O-.betha.-D-glucopyranosyl $(1{\rightarrow}2)$-${\alpha}$-L- rhamnopyranosyl (1.rarw.4)-.betha.-D-glucopyranoside), compound III (ent-7.alpha., 11${\alpha}$,15.betha.-trihydroxy-kaur-16-en-1-O-.betha.-D-glucopyranoside) and compound IV ($2{\alpha}$,3${\beta}$,$7{\alpha}$,23-tetrahydroxy-olean-12 -en-28-oic acid 28-O-${\beta}$-D-glucopyranoside) were isolated and identified on the basis of their physicochemical and spectroscopic evidences[IR, FAB(-)MS,$^{1}H-NMR,$$^{13}C-NMR,$$ HMQC$$^{1}H-^{1}H $COSY and HMBC (Heteronuclear Multiple Bond Connectivity)]. Especially, New compounds II and III were named Isodonin A and Isodonin B respectively.

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ON A CLASS OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Shukla, S.L.;Chaudhary, A.M.;Owa, S.
    • Kyungpook Mathematical Journal
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    • v.28 no.2
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    • pp.129-139
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    • 1988
  • Let $T^{\alpha}_{\lambda}$(p, A, B) denote the class of functions $$f(z)=z^p-{\sum\limits^{\infty}_{k=1}}{\mid}a_{p+k}{\mid}z^{p+k}$$ which are regular and p valent in the unit disc U = {z: |z| <1} and satisfying the condition $\left|{\frac{{e^{ia}}\{{\frac{f^{\prime}(z)}{z^{p-1}}-p}\}}{(A-B){\lambda}p{\cos}{\alpha}-Be^{i{\alpha}}\{\frac{f^{\prime}(z)}{z^{p-1}}-p\}}}\right|$<1, $z{\in}U$, where 0<${\lambda}{\leq}1$, $-\frac{\pi}{2}$<${\alpha}$<$\frac{\pi}{2}$, $-1{\leq}A$<$B{\leq}1$, 0<$B{\leq}1$ and $p{\in}N=\{1,2,3,{\cdots}\}$. In this paper, we obtain sharp results concerning coefficient estimates, distortion theorem and radius of convexity for the class $T^{\alpha}_{\lambda}$(p, A, B). It is further shown that the class $T^{\alpha}_{\lambda}$(p, A, B) is closed under "arithmetic mean" and "convex linear combinations". We also obtain class preserving integral operators of the form $F(z)=\frac{p+c}{z^c}{\int^z_0t^{c-1}}f(t)dt$, c>-p, for the class $T^{\alpha}_{\lambda}$(p, A, B). Conversely when $F(z){\in}T^{\alpha}_{\lambda}$(p, A, B), radius of p valence of f(z) has also determined.

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Genetic Polymorphism of Interleukin-1A (IL-1A), IL-1B, and IL-1 Receptor Antagonist (IL-1RN) and Prostate Cancer Risk

  • Xu, Hua;Ding, Qiang;Jiang, Hao-Wen
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.20
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    • pp.8741-8747
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    • 2014
  • Purpose: We aimed to investigate the associations between polymorphisms of interleukin-1A (IL-1A), IL-1B, and IL-1 receptor antagonist (IL-1RN) and prostate cancer (PCa) risk. Materials and Methods: A comprehensive search for articles of MEDLINE and EMBASE databases and bibliographies of retrieved articles published up to August 3, 2014 was performed. Methodological quality assessment of the trials was based on a standard quality scoring system. The meta-analysis was performed using STATA 12.0. Results: We included 9 studies (1 study for IL-1A, 5 studies for IL-1B, and 3 studies for IL-1RN), and significant association was found between polymorphisms of IL-1B-511 (rs16944) as well as IL-1B-31 (rs1143627) and PCa risk. IL-1B-511 (rs16944) polymorphism was significantly associated with PCa risk in homozygote and recessive models, as well as allele contrast (TT vs CC: OR, 0.74; 95%CI, 0.58-0.94; P=0.012; TT vs TC+CC; OR, 0.79; 95%CI, 0.63-0.98; P=0.033; T vs C: OR, 0.86; 95%CI, 0.77-0.96; P=0.008). The association between IL-1B-31 (rs1143627) polymorphism and PCa risk was weakly significant under a heterozygote model (OR, 1.35; 95%CI, 1.00-1.80; P=0.047). Conclusions: Sequence variants in IL-1B-511 (rs16944) and IL-1B-31 (rs1143627) are significantly associated with PCa risk, which provides additional novel evidence that proinflammatory cytokines and inflammation play an important role in the etiology of PCa.

A Clinical Study of Pediatric Inguinal Hernia Before and After Using Ultrasonography for Diagnosis (소아 서혜부탈장 진단에 초음파검사 실시 후 임상 양상의 변화)

  • Lee, Jeong-Eun;Choi, Kum-Ja
    • Advances in pediatric surgery
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    • v.10 no.2
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    • pp.131-135
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    • 2004
  • The purpose of this retrospective study was to evaluate the effects of diagnostic sonography in pediatric patients with inguinal hernias. The patients were classified into two groups. Group A included the patients who had been operated upon for inguinal hernia in 1980's, when diagnostic sonography was not available. Group B included the patients, operated upon for inguinal hernia from 2001 to 2002, when inguinal sonography was employed to detect potential bilateral hernias. The age distribution, sex ratio, laterality, bilaterality, and concomitant symptoms were compared between group A and group B. There were 296 cases in group A and 377 cases in group B. The prevalent age group was from 1 to 5 years. There was no difference in age group distribution between both groups. The male to female ratio was 5.3:1 in group A and 3.5:1 in group B. The ratio of unilateral to bilateral hernia was 5:1 in group A and 3:1 in group B. In cases with a unilateral hernia, the ratio of right to left was 1.5:1 in group A and 1.8:1 in group B. In cases with bilateral hernia, the simultaneous bilateral hernia was 33 cases (67.4 %) in group A and 75 cases (80.6 %) in group B. The sequential bilateral hernia was 16 cases (32.7 %) in group A and 18 cases (19.4 %) in group B. Although the ratio of bilateral hernia was increased in group B, the portion of the sequential bilateral hernia was significantly decreased in group B. In conclusion, there were no differences in the age distribution and the laterality between group A and B. The ratio of female patients and the incidence of bilateral hernia were increased in group B even though the portion of the sequential bilateral hernia was decreased. This result shows that the preoperative inguinal sonography in unilateral hernia with potential bilateral hernia is useful in early detection of the sequential contralateral hernia.

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Magnetic Properties of $\alpha$-Fe Based Nd-Fe-B Nanocrystalline with High Remanence (고잔류자화 $\alpha$-Fe기 Nd-Fe-B 초미세결정립 합금의 자기특성)

  • 조용수;김윤배;박우식;김창석;김택기
    • Journal of the Korean Magnetics Society
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    • v.5 no.1
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    • pp.38-41
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    • 1995
  • The effects of Nb and Cu additives as will as substitutional Co into $Nd_{4}Fe_{85.5}B_{10.5}$ melt-spun alloy were studied aiming for finding a $\alpha$-Fe based Nd-Fe-B composite alloys with high energy product. The addition of Nb and Cu to $Nd_{4}Fe_{85.5}B_{10.5}$ decreased the average grain size and increased the coercivity up to 207kA/m(2.6kOe), Further-more, the substitution of Co for Fe in $Nd_{4}Fe_{82}B_{10}Nb_{3}Cu_{1}$ alloy resulted in the decrease of the average grain size (<20nm) and improved the hard magnetic properties. The remanence, coercivity and energy product of optimally annealed $Nd_{4}Fe_{74}Co_{8}B_{10}Nb_{3}Cu_{1}$ alloy were 1.345, 219kA/m(2.75kOe) and $95.5kJ/m^{3}$(12MGOe), respectively.

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Interaction of Microtubule-associated Protein 1B Light Chain(MAP1B-LC1) and p53 Represses Transcriptional Activity of p53

  • Kim, Jung-Woong;Lee, So-Youn;Jeong, Mi-Hee;Jang, Sang-Min;Song, Ki-Hyun;Kim, Chul-Hong;Kim, You-Jin;Choi, Kyung-Hee
    • Animal cells and systems
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    • v.12 no.2
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    • pp.69-75
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    • 2008
  • The tumor suppressor and transcription factor p53 is a key modulator of cellular stress responses, and can trigger apoptosis in many cell types including neurons. In this study, we have shown that Microtubule-associated protein 1B(MAP1B) light chain interacts with tumor suppressor p53. MAP1B is one of the major cytoskeletal proteins in the developing nervous system and essential in forming axons during elongation. We also demonstrate that both p53 and MAP1B-LC1 interact in the nucleus in HEK 293 cells. Indeed, we show that the MAP1B-LC1 negatively regulates p53-dependent transcriptional activity of a reporter containing the p21 promoter. Consequently, MAP1B light chain binds with p53 and their interaction leads to the inhibition of doxorubicin-induced apoptosis in HEK 293 cells. Furthermore, these examinations might be taken into consideration when knock-down of MAP1B-LC1 is used as a cancer therapeutic strategy to enhance p53's apoptotic activity in chemotherapy.

Changes in Vitamins (BB1, B7, B12) and Specific Bacteria on the Growth Stages of Marine Diatom Cyclotella meneghiniana (해양 규조류 Cyclotella meneghiniana의 성장단계에 따른 비타민(B1, B7, B12) 및 특이적 미생물의 변동)

  • Choi, Won-Ji;Ki, Jang-Seu
    • Ocean and Polar Research
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    • v.41 no.3
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    • pp.203-211
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    • 2019
  • Diatom growth is affected by associated bacteria that probably provide useful substances like vitamins. In the present study, we analysed the variation of vitamins $B_1$, $B_7$ and $B_{12}$ on the growth stages of the marine diatom Cyclotella meneghiniana and assessed putative vitamin-producing bacteria (e.g., ${\alpha}$- and ${\gamma}$-proteobacteria). HPLC analysis showed that total amounts of vitamins $B_1$ and $B_{12}$ decreased with cell growth, whereas vitamin $B_7$ increased gradually on the growth stages. $B_1$ and $B_{12}$ measured 0.5% and 0.18% at the stationary phase, following 0.25% and 0.72% at the lag phase. They considerably increased to 0.75% and 0.77% at the death stage. 16S pyrosequencing showed relatively high ratios of ${\alpha}$- and ${\gamma}$-proteobacteria in all the growth stages of the C. meneghiniana. In addition, we detected previously-reported vitamin-producing bacteria, such as Marinobacter, in high numbers. The species was dorminant in the lag (relative abundance 72%) and exponetial (72%) stages, whareas it decreased in the stationary (49%) and death (48%) stages. These results suggest that vitamins $B_1$ or $B_{12}$ may be necesaary for diatom growth and that associated bacteria, including Marinobacter, may produce these substances for the cell growth of C. meneghiniana.

Basic RF Coils Used in Multi-channel RF Coil and Its B1 Field Distribution for Magnetic Resonance Imaging System (자기공명영상 촬영 장치에서 다채널 RF Coil에 이용되는 기본 구조 RF Coil의 B1 Field 분석)

  • Kim, Yong-Gwon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.12
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    • pp.4891-4895
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    • 2010
  • RF coil is an important component of the Magnetic Resonance Imaging (MRI) system and the performance of RF coil is one of major factors for high SNR images. Sensitivity and RF field uniformity are parameters for evaluating RF coil performance. Since the B1 field is induced by RF coil, MR signal is strongly affected by RF coil structure and arrangement. In receiving MR signal, the RF coil sensitivity to MR Signal is also determined by the induced B1 field of RF coil. Therefore, the spatial distribution of B1 field must be verified. In this work, we performed computer simulation of the basic RF coil structures using Matlab and verified their sensitivity and uniformity through their B1 field distribution. This work will be useful for the advanced multi-channel RF coil design.

Clinical Significance of SH2B1 Adaptor Protein Expression in Non-small Cell Lung Cancer

  • Zhang, Hang;Duan, Chao-Jun;Chen, Wei;Wang, Shao-Qiang;Zhang, Sheng-Kang;Dong, Shuo;Cheng, Yuan-Da;Zhang, Chun-Fang
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.5
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    • pp.2355-2362
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    • 2012
  • The SH2B1 adaptor protein is recruited to multiple ligand-activated receptor tyrosine kinases that play important role in the physiologic and pathologic features of many cancers. The purpose of this study was to assess SH2B1 expression and to explore its contribution to the non-small cell lung cancer (NSCLC). Methods: SH2B1 expression in 114 primary NSCLC tissue specimens was analyzed by immunohistochemistry and correlated with clinicopathological parameters and patients' outcome. Additionally, 15 paired NSCLC background tissues, 5 NSCLC cell lines and a normal HBE cell line were evaluated for SH2B1 expression by RT-PCR and immunoblotting, immunofluorescence being applied for the cell lines. Results: SH2B1 was found to be overexpressed in NSCLC tissues and NSCLC cell lines. More importantly, high SH2B1 expression was significantly associated with tumor grade, tumor size, clinical stage, lymph node metastasis, and recurrence respectively. Survival analysis demonstrated that patients with high SH2B1 expression had both poorer disease-free survival and overall survival than other patients. Multivariate Cox regression analysis revealed that SH2B1 overexpression was an independent prognostic factor for patients with NSCLC. Conclusions: Our findings suggest that the SH2B1 protein may contribute to the malignant progression of NSCLC and could offer a novel prognostic indicator for patients with NSCLC.