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ON THE k-LUCAS NUMBERS VIA DETERMINENT

  • Lee, Gwang-Yeon;Lee, Yuo-Ho
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1439-1443
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    • 2010
  • For a positive integer k $\geq$ 2, the k-bonacci sequence {$g^{(k)}_n$} is defined as: $g^{(k)}_1=\cdots=g^{(k)}_{k-2}=0$, $g^{(k)}_{k-1}=g^{(k)}_k=1$ and for n > k $\geq$ 2, $g^{(k)}_n=g^{(k)}_{n-1}+g^{(k)}_{n-2}+{\cdots}+g^{(k)}_{n-k}$. And the k-Lucas sequence {$l^{(k)}_n$} is defined as $l^{(k)}_n=g^{(k)}_{n-1}+g^{(k)}_{n+k-1}$ for $n{\geq}1$. In this paper, we give a representation of nth k-Lucas $l^{(k)}_n$ by using determinant.

DIGITAL TOPOLOGICAL PROPERTY OF THE DIGITAL 8-PSEUDOTORI

  • LEE, SIK;KIM, SAM-TAE;HAN, SANG-EON
    • Honam Mathematical Journal
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    • v.26 no.4
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    • pp.411-421
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    • 2004
  • A digital $(k_0,\;k_1)$-homotopy is induced from digital $(k_0,\;k_1)$-continuity with the n kinds of $k_i$-adjacency relations in ${\mathbb{Z}}^n$, $i{\in}\{0,\;1\}$. The k-fundamental group, ${\pi}^k_1(X,\;x_0)$, is derived from the pointed digital k-homotopy, $k{\in}\{3^n-1(n{\geq}2),\;3^n-{\sum}^{r-2}_{k=0}C^n_k2^{n-k}-1(2{\leq}r{\leq}n-1(n{\geq}3)),\;2n(n{\geq}1)\}$. In this paper two kinds of digital 8-pseudotori stemmed from the minimal simple closed 4-curve and the minimal simple closed 8-curve with 8-contractibility or without 8-contractibility, e.g., $DT_8$ and $DT^{\prime}_8$, are introduced and their digital topological properties are studied by the calculation of the k-fundamental groups, $k{\in}\{8,\;32,\;64,\;80\}$.

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Endothelium-dependent Contraction of Aorta in One-kidney, One-clip Goldblatt Hypertensive Rat

  • Jeon, Byeong-Hwa;Lee, Kug-Hee;Kim, Hoe-Suk;Kim, Se-Hoon;Chang, Seok-Jong
    • The Korean Journal of Physiology
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    • v.30 no.2
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    • pp.269-278
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    • 1996
  • The mechanism of impaired endothelium-dependent relaxation in the aorta of one-kidney, one clip Goldblatt hypertensive (1K,1C-GBH) rats was investigated. 8 week-old Wistar-Kyoto (WKY) rats were made hypertensive by left renal artery stenosis with contralateral nephrectomy. Endothelium-dependent relaxation was significantly reduced in 1K,1C-GBH rats as compared with WKY rats. However, the relaxation by sodium nitroprusside in 1K,1C-GBH rats was not reduced as compared with WKY rats. The impairment of endothelium-dependent relaxation in 1K,1C-GBH rats was partially restored by the pretreatment of indomethacin or SQ29548. When the nitric oxide production was inhibited by L-nitroarginine methyl ester, acetylcholine (ACh) induced a endothelium-dependent contraction that was greater in 1K,1C-GBH rats than in WKY rats. Endothelium-dependent contraction by ACh was completely abolished by indomethacin or SQ29548. However, imidazole, tranylcypromine and superoxide dismutase did not affect the endothelium-dependent contraction in 1K,1C-GBH rats. These results suggest that impaired endothelium-dependent relaxation in the 1K,1C-GBH rats might be due to the simultaneous release of EDCF, and that prostaglandin B2 may be involved as a mediator of endothelium-dependent contraction.

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Pantoea Bacteria Isolated from Three Thrips (Frankliniella occidentalis, Frankliniella intonsa, and Thrips tabaci) in Korea and Their Symbiotic Roles in Host Insect Development

  • Gahyeon Jin;Yonggyun Kim
    • Journal of Microbiology and Biotechnology
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    • v.33 no.6
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    • pp.745-752
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    • 2023
  • Gut symbionts play crucial roles in host development by producing nutrients and defending against pathogens. Phloem-feeding insects in particular lack essential nutrients in their diets, and thus, gut symbionts are required for their development. Gram-negative Pantoea spp. are known to be symbiotic to the western flower thrips (Frankliniella occidentalis). However, their bacterial characteristics have not been thoroughly investigated. In this study, we isolated three different bacteria (BFoK1, BFiK1, and BTtK1) from F. occidentalis, F. intonsa, and T. tabaci. The bacterial isolates of all three species contained Pantoea spp. Their 16S rRNA sequences indicated that BFoK1 and BTtK1 were similar to P. agglomerans, while BFiK1 was similar to P. dispersa. These predictions were supported by the biochemical characteristics assessed by fatty acid composition and organic carbon utilization. In the bacterial morphological analysis, BFoK1 and BTtK1 were distinct from BFiK1. All these bacteria were relatively resistant to tetracycline compared to ampicillin and kanamycin, in which BFoK1 and BTtK1 were different from BFiK1. Feeding ampicillin (100,000 ppm) reduced the bacterial density in thrips and retarded the development of F. occidentalis. The addition of BFoK1 bacteria, however, rescued the retarded development. These findings indicate that Pantoea bacteria are symbionts to different species of thrips.

COMPARISON BETWEEN DIGITAL CONTINUITY AND COMPUTER CONTINUITY

  • HAN, SANG-EON
    • Honam Mathematical Journal
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    • v.26 no.3
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    • pp.331-339
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    • 2004
  • The aim of this paper is to show the difference between the notion of digital continuity and that of computer continuity. More precisely, for digital images $(X,\;k_0){\subset}Z^{n_0}$ and $(Y,\;k_1){\subset}Z^{n_1}$, $if(k_0,\;k_1)=(3^{n_0}-1,\;3^{n_1}-1)$, then the equivalence between digital continuity and computer continuity is proved. Meanwhile, if $(k_0,\;k_1){\neq}(3^{n_0}-1,\;3^{n_1}-1)$, then the difference between them is shown in terms of the uniform continuity property.

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E1B-19k does not Localize in Mitochondria nor Dimerize Bax even with the Staurosporine (E1B-19k의 세포내 위치와 Bax와의 Dimerization에 관한 연구)

  • Yoon, Soo Han;Kim, Jin Young;Park, Seung Woo;Ahn, Young Hwan;Ahn, Young Min;Cho, Ki Hong;Cho, Kyung Gi
    • Journal of Korean Neurosurgical Society
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    • v.29 no.6
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    • pp.725-730
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    • 2000
  • Purpose : The subcellular localization of E1B-19k has been known cytosol or nuclear membrane by immunohistochemical staining and could dimerize with Bax to regulate cell death also known by the in-vitro immunoprecipitation. We planed to confirm this dimerization of E1B-19k with Bax in vivo in Cos-7 cells by using green fluorescent protein. Material and Method : We cloned E1B-19k and Bax into C3-EGFP. C3-EGFP-E1B-19k, C3-EGFP-Bax, and C3-EGFP-E1B-19k and pcDNA3-Bax were transfected into Cos-7 cells. We explored location of E1B-19k and Bax, and confirmed its dimerization with Bax in transfected living healthy Cos-7 cells by following green fluorescent protein of E1B-19k on the confocal microscope. Results : E1B-19k was located diffusely in cytoplasm and in nucleus but not in mitochondria. It prevented cell death from the apoptosis by staurosporine but its location was not changed. GFP-E1B-19k is not changed its intracellular location with Bax even with staurosporine. Conclusion : These results support that E1B-19k does not localize in mitochondria nor dimerize with Bax even with staurosporine. We could anticipate E1B-19k prevent cell death via the other dimerizing partner or pathways.

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A New Family of Nonlinear Binary Sequences Generated by Two m-Sequences (두 개의 m-수열에 의해 생성된 새로운 비선형 이진수열군)

  • Choi, Un-Sook;Cho, Sung-Jin;Kim, Han-Doo;Kwon, Sook-Hee;Kwon, Min-Jeong;Kim, Jin-Gyoung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.228-231
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    • 2012
  • In this paper we propose a new family of nonlinear binary sequences generated by $m$-sequences for decimations $d=2^{k-1}(2^{s+1}-2^k+2^{k(i+1)}-2^{ki}-1)/(2^s-1)$ where $n=2k$, $i$ is odd and $s$ is such that $2s$ divides $k$. And we analyze the cross-correlation function between two $m$-sequences for new decimations $d$. Proposed sequences is extension of Rosendahl's sequnces and Dobbertin's sequences.

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DIOPHANTINE INEQUALITY WITH FOUR SQUARES AND ONE kTH POWER OF PRIMES

  • Zhu, Li
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.985-1000
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    • 2019
  • Let k be an integer with $k{\geq}3$. Define $h(k)=[{\frac{k+1}{2}}]$, ${\sigma}(k)={\min}\(2^{h(k)-1},\;{\frac{1}{2}}h(k)(h(k)+1)\)$. Suppose that ${\lambda}_1,{\ldots},{\lambda}_5$ are non-zero real numbers, not all of the same sign, satisfying that ${\frac{{\lambda}_1}{{\lambda}_2}}$ is irrational. Then for any given real number ${\eta}$ and ${\varepsilon}>0$, the inequality $${\mid}{\lambda}_1p^2_1+{\lambda}_2p^2_2+{\lambda}_3p^2_3+{\lambda}_4p^2_4+{\lambda}_5p^k_5+{\eta}{\mid}<({\max_{1{\leq}j{\leq}5}}p_j)^{-{\frac{3}{20{\sigma}(k)}}+{\varepsilon}}$$ has infinitely many solutions in prime variables $p_1,{\ldots},p_5$. This gives an improvement of the recent results.

Effects of Daidzein on benzo(k)fluoranthene Regulated CYP1A1 Gene Expression in MCF-7 Human Breast Cancer Cells (Daidzein이 benzo(k)fluoranthene에 의한 사람 유방암 세포 MCF-7의 CYP1A1 유전자 발현 조절에 미치는 영향)

  • Yang, So-Yeon;Sheen, Yhun-Yhong
    • Environmental Mutagens and Carcinogens
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    • v.24 no.4
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    • pp.180-188
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    • 2004
  • CYP1A1 is known to be inducible by xenobiotic compouds such as polyciclic aromatic hydrocarbons(PAHs) and 2,3,7,8-tetrachloro-dibenzo-p-dioxin(TCDD). These chemicals have been identified worldwide and can have a significant impact on the human health and well being of human and wildlife. Given these issues, the detection and quantification of these chemicals in biological, environmental and food samples is important. We investigated the effect of dietaty flavonoid, such as CYP1A1 promoter activity, 7-ethoxyresorufin-O-deethylase(EROD) activity and CYP1A1 mRNA expression induced by benzo(k)fluoranthene(B(k)F) in MCF-7 cells. Based on the three criteria of frequency of occurrence in the environment, toxicity and potential exposure to humans, B(k)F is one of the top-listed PAHs. We found that B(k)F significantly up-regulates the level of CYP1A1 promoter activity, EROD and CYP1A1 mRNA. when cells were treated with daidzein inhibited the B(k)-induced CYP1A1 prompter activity and mRNA level at high concentration. But daidzein exhibited stimulatory effects B(k)F-induced CYP1A1 promoter activity and mRNA level at low concentration. Overall, results from these studies demonstrate flavonoids might interfere the action of B(k) with AhR system to stimulate CYP1A1 gene expression.

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Drug-Biomacromolecule Interaction X -Binding of Cefamandole, Ceftriaxone, Cefoxitin, Latamoxef and Cefoteoan to Bovine Serum Albumin- (약물과 생체고분자 간의 상호작용 (X) - Cefamandole, ceftriaxone, cefoxitin, Iatamoxef 및 cefotetan과 소 혈청 알부민과의 결합에 관한 연구)

  • 김종국;신철교;양지선
    • YAKHAK HOEJI
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    • v.30 no.1
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    • pp.42-46
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    • 1986
  • The binding characteristics of five cephalosporins, cefamandole, ceftriaxone, cefoxitin, latamoxef, and cefotetan to bovine serum albumin (BSA) was examined by UV difference spectrophotometry. 2-(4'-hydroxybenzeneazo) benzoic acid was used as the spectrophotometric probe. Competitive bindings between the probe and cephalosporins were observed. Based on the Scatchard plot, the BSA appeared to have two classes of binding sites in BSA binding with cephalosporins. The number of primary binding sites appears to be one, secondary binding sites appears to be three. The binding constants were found as follows: BSA-HBAB; $K_1^{obs}$=8.39$\times$$10^4$ $M^{-1}$, $K_2^{obs}$=1.60$\times$$10^4$ $M^{-1}$, BSA-Cefamandole; $K_1^{obs}$=5.44$\times$$10^3$ $M^{-1}$, $K_2^{obs}$=0.74$\times$$10^3$ $M^{-1}$, BSA-Cefotriaxone; $K_1^{obs}$=6.78$\times$$10^3$ $M^{-1}$, $K_2^{obs}$=0.88$\times$$10^3$ $M^{-1}$, BSA-Cefoxitin; $K_1^{obs}$=7.24$\times$$10^3$ $M^{-1}$, $K_2^{obs}$=1.13$\times$$10^3$ $M^{-1}$, BSA-Latamoxef; $K_1^{obs}$=8.87$\times$$10^3$ $M^{-1}$, $K_2^{obs}$=1.92$\times$$10^3$ $M^{-1}$, BSA-Cefotetan; $K_1^{obs}$=15.41$\times$$10^3$ $M^{-1}$, $K_2^{obs}$=2.7$\times$$10^3$ $M^{-1}$.

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