• Title/Summary/Keyword: delta-function

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Strong Roman Domination in Grid Graphs

  • Chen, Xue-Gang;Sohn, Moo Young
    • Kyungpook Mathematical Journal
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    • v.59 no.3
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    • pp.515-523
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    • 2019
  • Consider a graph G of order n and maximum degree ${\Delta}$. Let $f:V(G){\rightarrow}\{0,1,{\cdots},{\lceil}{\frac{{\Delta}}{2}}{\rceil}+1\}$ be a function that labels the vertices of G. Let $B_0=\{v{\in}V(G):f(v)=0\}$. The function f is a strong Roman dominating function for G if every $v{\in}B_0$ has a neighbor w such that $f(w){\geq}1+{\lceil}{\frac{1}{2}}{\mid}N(w){\cap}B_0{\mid}{\rceil}$. In this paper, we study the bounds on strong Roman domination numbers of the Cartesian product $P_m{\square}P_k$ of paths $P_m$ and paths $P_k$. We compute the exact values for the strong Roman domination number of the Cartesian product $P_2{\square}P_k$ and $P_3{\square}P_k$. We also show that the strong Roman domination number of the Cartesian product $P_4{\square}P_k$ is between ${\lceil}{\frac{1}{3}}(8k-{\lfloor}{\frac{k}{8}}{\rfloor}+1){\rceil}$ and ${\lceil}{\frac{8k}{3}}{\rceil}$ for $k{\geq}8$, and that both bounds are sharp bounds.

Functional Screening of Plant Genes Suppressed Salt Sensitive Phenotype of Calcineurin Deficient Mutant through Yeast Complementation Analysis (애기장대의 염해 저항성 관련 유전자의 기능적 선별)

  • Moon, Seok-Jun;Park, Soo-Kwon;Hwang, Un-Ha;Lee, Jong-Hee;Han, Sang-Ik;Nam, Min-Hee;Park, Dong-Soo;Shin, Dongjin
    • Journal of Life Science
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    • v.23 no.1
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    • pp.1-7
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    • 2013
  • Understanding salt tolerance mechanisms is important for the increase of crop yields, and so, several screening approaches were developed to identify plant genes which are involved in salt tolerance of plants. Here, we transformed the Arabidopsis cDNA library into a salt-sensitive calcineurin (CaN)-deficient ($cnb{\Delta}$) yeast mutant and isolated the colonies which can suppress salt-sensitive phenotype of $cnb{\Delta}$ mutant. Through this functional complementation screen, a total of 34 colonies functionally suppressed the salt-sensitive phenotype of $cnb{\Delta}$ yeast cells, and sequencing analysis revealed that these are 9 genes, including CaS, AtSUMO1 and AtHB-12. Among these genes, the ectopic expression of CaS gene increased salt tolerance in yeast, and CaS transcript was up-regulated under high salinity conditions. CaS-antisense transgenic plants showed reduced root elongation under 100 mM NaCl treatment compared to the wild type plant, which survived under 150 mM NaCl treatment, whereas CaS-antisense transgenic plant leaves turned yellow under 150 mM NaCl treatment. These results indicate that the expression of CaS gene is important for stress tolerance in yeast and plants.

Detergent Screening for NMR-Based Structural Study of the Integral Membrane Protein, Emopamil Binding Protein (Human Sterol Δ8-Δ7 Isomerase)

  • Won, Hyung-Sik
    • Journal of the Korean Magnetic Resonance Society
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    • v.21 no.1
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    • pp.13-19
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    • 2017
  • Human sterol ${\Delta}8-{\Delta}7$ isomerase, commonly known as emopamil binding protein (EBP), is an essential protein in the cholesterol-synthetic pathway, and mutations of this protein are critically associated with human diseases such as Conradi-Hunermann-Happle or male EBP disorder with neurological defects syndrome. Due to such a clinical importance, EBP has been intensively investigated and some important features have been reported. EBP is a tetra-spanning membrane protein, of which $2^{nd}$, $3^{rd}$, and $4^{th}$ membrane-spanning ${\alpha}$ helices play an important role in its enzymatic function. However, detailed structural feature at atomic resolution has not yet been elucidated, due to characteristic difficulties in dealing with membrane protein. Here, we over-expressed EBP using Escherichia coli and performed detergent screening to find suitable membrane mimetics for structural studies of the protein by NMR. As results, DPC and LMPG could be evaluated as the most favorable detergents to acquire promising NMR spectra for structural study of EBP.

Ultimate Resisting Capacity of RC Columns Considering P-$\Delta$ Effect (P-$\Delta$ 효과를 고려한 RC 기둥의 극한저항력 산정)

  • 곽효경;김진국;김한수
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.105-116
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    • 2002
  • In this paper, an analytical model to predict the resisting capacity of slender RC columns is introduced. Material and geometric nonlinearities are taken into account, and the layer approach is adopted to simulate the different material properties across the sectional depth. On the basis of the obtained numerical analysis results, an improved design equation as a function of concrete strength, slenderness ratio, steel ratio and eccentricity for slender RC columns, which can be used effectively in the preliminary design stage, is introduced. Finally, P-M interaction diagrams constructed by the introduced equation are compared with the ACI method with the objective of establishing the relative efficiencies of the introduced equation.

Robustness to Impulsive Noise of Algorithms based on Cross-Information Potential and Delta Functions (상호 정보 에너지와 델타함수를 이용한 알고리즘의 충격성 잡음에 대한 강인성)

  • Kim, Namyong
    • Journal of Internet Computing and Services
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    • v.17 no.2
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    • pp.11-17
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    • 2016
  • In this paper, the optimum weight of the algorithm based on the cross information-potential with the delta functions (CIPD) is derived and its robustness against impulsive noise is studied. From the analysis of the behavior of optimum weight, it is revealed that the magnitude controlling operation for input plays the main role of keeping optimum weight of CIPD stable from the impulsive noise. The simulation results show that the steady state weight of CIPD is equivalent to that of MSE criterion. Also in the simulation environment of impulsive noise, unlike the LMS algorithm based on MSE, the steady state weight of CIPD is shown to be kept stable.

Comparison between the Egyptian and international codes based on seismic response of mid- to high-rise moment resisting framed buildings

  • Ahmed Ibrahim;Ibrahim El-Araby;Ahmed I. Saleh;Mohammed Shaaban
    • Structural Engineering and Mechanics
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    • v.87 no.4
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    • pp.347-361
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    • 2023
  • This research aims to assess the behavior of reinforced concrete (RC) residential buildings when moment-resisting frames (MRFs) are used as the lateral resisting system. This investigation was conducted using MIDAS Gen v.19.0. Buildings with various plan footprints (Square, Rectangular, Circular, Triangular, and Plus-Shaped), and different heights (15 m, 30 m, 45 m, and 60 m) are investigated. The defined load cases, the equivalent static lateral load pattern, and the response spectrum function were defined as stated by the American Standard (ASCE 7-16), the 1997 Uniform Building Code (UBC97), the Egyptian Code for Loads (ECP-201), and the European Standard (EC8). Extensive comparisons of the results obtained by the different codes (including the story displacement, the story drift, and the base shear) were undertaken; to assess the response of moment-resisting multi-story framed buildings under lateral loads. The results revealed that, for all study cases under consideration, both ECP-201 and EC8 gave smaller base shear, displacement, and drift by one third to one fourth, around one fourth, around one fifth, respectively for both the ELF and RSA methods if compared to ASCE 7-16 and UBC97.

Low Counts of γδ T Cells in Peritumoral Liver Tissue are Related to More Frequent Recurrence in Patients with Hepatocellular Carcinoma after Curative Resection

  • Cai, Xiao-Yan;Wang, Jia-Xing;Yi, Yong;He, Hong-Wei;Ni, Xiao-Chun;Zhou, Jian;Cheng, Yun-Feng;Jin, Jian-Jun;Fan, Jia;Qiu, Shuang-Jian
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.2
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    • pp.775-780
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    • 2014
  • Objectives: TCR-gamma-delta+T cells (${\gamma}{\delta}$ T cells) are non-conventional T lymphocytes that can recognize and eradicate tumor cells. Our previous studies showed that infiltration and function of ${\gamma}{\delta}$ T cells were substantially attenuated in hepatocellular carcinoma (HCC). However, their prognostic value was not clarified. Methods: The association between ${\gamma}{\delta}$ T cells and the clinical outcomes was determined by immunohistochemistry (IHC) in a HCC patient cohort (n = 342). Results:Immunohistochemistry showed decreased infiltration of ${\gamma}{\delta}$ T cells in tumoral tissues compared with paired peritumoral tissues. The counts of ${\gamma}{\delta}$ T cells in peritumoral tissues were negatively correlated with tumor size (P = 0.005). Survival analysis showed that the levels of peritumoral ${\gamma}{\delta}$T cells were related to both time to recurrence (TTR) and overall survival (OS) (P = 0.010 and P = 0.036, respectively) in univariate analysis, and related to TTR in multivariate analysis (P = 0.014, H.R. [95% CI] = 0.682 [0.502-0.927]). Furthermore, the level of peritumoral ${\gamma}{\delta}$ T cells showed independent prognostic value for TTR in Barcelona Clinic Liver Cancer (BCLC) stage A patients (P = 0.038, H.R. [95% CI] = 0.727 [0.537-0.984]). However, tumoral ${\gamma}{\delta}$ T cells did not show independent prognostic value for either TTR or OS in HCC patients. Conclusions: Low counts of ${\gamma}{\delta}$ T cells in peritumoral liver tissue are related to a higher incidence of recurrence in HCC and can predict postoperative recurrence, especially in those with early-stage HCC.

EXPRESSION OF DOMINANT NEGATIVE p63 ISOFORM IN WELL-DIFFERENCIATED ORAL SQUAMOUS CELL CARCINOMA (분화도 좋은 구강 편평상피세포암종에서 Dominant Negative p63 isoform의 발현)

  • Kim, In-Su;Kim, Chul-Hwan;Kim, Kyung-Wook
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.33 no.3
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    • pp.191-198
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    • 2007
  • The p53 which is well known as tumor suppressor gene is located at 17p13. p53 is a sequence-specific DNA binding transcription factor that responds to certain cytotoxic stresses, such as DNA damage, by enhancing the transcription of genes that regulate cell-cycle progression as well as programmed cell death. The p63 gene that is located at 3q27-29, is recognized members of the p53 family, and responsible for the transcription of 6 isoforms. Three isoforms ($TAp63{\alpha}$, $TAp63{\beta}$, $TAp63{\gamma}$) contain an N-terminal transactivation (TA) domain and can induce apoptosis. The other 3 isoforms (${\Delta}Np63{\alpha}$, ${\Delta}Np63{\beta}$, ${\Delta}Np63{\gamma}$) lack the TA domain and may function in a dominant-negative fashion by inhibiting the transactivation functions of p53 and TAp63 proteins, and thus act as oncoproteins. A number of studies have investigated the role of p63 in human squamous cell carcinomas from different organs. Only a few studies have examined ${\Delta}Np63$ isoform in oral squamous cell carcinoma including normal epithelium. This study aimed to evaluate expression of ${\Delta}Np63$ isoform in human oral squamous cell carcinoma tissue and normal mucosa. The 3 cases of well differenciated oral squamous cell carcinoma specimen including adjacent normal mucosa were examined, and immunohistochemical study with monoclonal antibody(4A4) and tumor cell apoptosis analysis with Transmission Electon Microscopy were studied. And, RT-PCR analysis was done for expression of ${\Delta}Np63$ isoform. The results were as followed. 1. Normal gingiva showed the restricted p63 expression in basal cell layer. 2. Well differentiated squamous cell carcinoma showed mainly p63 expression in overall area of malignancy, especially in basal cell layer to adjacent stromal tissue. 3. Tumor cells around keratinized area with no p63 expression disclosed less micro-organelle in decreased size cytoplasm and severe chromatin margination with nuclear destruction that means apoptosis. 4. Comparison of mRNA expression of ${\Delta}Np63$ isoform by RT-PCR showed variable expression of ${\Delta}Np63$ isoform, but ${\Delta}Np63{\alpha}$ was most highly expressed in all 3 tumor specimen. From theses results, it should be suggested that ${\Delta}Np63$ isoform expression in well differentiated squamous cell carcinoma was closely related to tumor oncogenesis, expecially overexpression of ${\Delta}Np63{\alpha}$ is a most important factor in tumor genesis of oral squamous cell carcinoma.

Evaluating the Load Carrying Capacity of Aged Bridges in Consideration of the Functional Deterioration of Point Parts (지점부의 기능저하를 고려한 노후교량의 내하력평가)

  • Yang, Seung-Hyun
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.2
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    • pp.15-21
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    • 2010
  • Structural analysis used to evaluate the load carrying capacity of a bridge should implement behavioral characteristics similar to the actual behaviors of the structure through loading tests, but it is not feasible in many cases due to the behavioral characteristics of points, inadequate modeling method in structural analysis, errors in loading tests, changes in strength and rigidity resulting from cross-sectional damage, etc. This problem can be more serious if bridge bearings have been damaged or were not installed and, consequently, the bearings do not function properly. This study produced results similar to actual behaviors using a structural analysis model built with support moment derived from the difference $\Delta{\delta}$ between measured deflection obtained by confining the cantilever segment of a solid beam and calculated deflection under a unrestrained condition. When the load carrying capacity of a bridge in operation was evaluated in consideration of the confinement condition of supports, the result was 15~19% lower than load carrying capacity calculated by the existing method.

Comparison of Electrical Conductivities in Complex Perovskites and Layered Perovskite for Cathode Materials of Intermediate Temperature-operating Solid Oxide Fuel Cell (중·저온형 고체산화물 연료전지 공기극 물질로 사용되는 이중층 페로브스카이트와 컴플렉스 페로브스카이트의 전기 전도도 비교)

  • Kim, Jung Hyun
    • Journal of the Korean Ceramic Society
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    • v.51 no.4
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    • pp.295-299
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    • 2014
  • Electrical conductivities of complex perovskites, layered perovskite and Sr doped layered perovskite oxides were measured and analyzed for cathode materials of Intermediate Temperature-operating Solid Oxide Fuel Cells (IT-SOFCs). The electrical conductivities of $Sm_{1-x}Sr_xCoO_{3-\delta}$ (x = 0.3 and 0.7) exhibit a metal-insulator transition (MIT) behavior as a function of temperature. However, $Sm_{0.5}Sr_{0.5}CoO_{3-\delta}$ (SSC55) shows metallic conductivity characteristics and the maximum electrical conductivity value compared to the values of $Pr_{0.5}Sr_{0.5}CoO_{3-\delta}$ (PSC55) and $Nd_{0.5}Sr_{0.5}CoO_{3-\delta}$ (NSC55). The electrical conductivity of $SmBaCo_2O_{5+\delta}$ (SBCO) exhibits a MIT at about $250^{\circ}C$. The maximum conductivity is 570 S/cm at $200^{\circ}C$ and its value is higher than 170 S/cm over the whole temperature range tested. $SmBa_{0.5}Sr_{0.5}Co_2O_{5+\delta}$ (SBSCO), 0.5 mol% Sr and Ba substituted at the layered perovskite shows a typically metallic conductivity that is very similar to the behavior of the SSC55 cathode, and the maximum and minimum electrical conductivity in the SBSCO are 1280 S/cm at $50^{\circ}C$ and 280 S/cm at $900^{\circ}C$.