• Archives of Pharmacal Research
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• 제21권3호
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• pp.305-309
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• 1998

Human cytochrome P450 1A2 is one of the major cytochrome P450s in human liver. It is known to be capable of activating a number of carcinogens such as arylamines and heterocyclic amines. In order to develop the new bacterial mutagenicity test system with human P450, a full length of human P450 1A2 cDNA inserted into pCW bacterial expression vector was introduced to Escherichia coli WP2 uvrA strain which is a well-known E. coli strain for bacterial reverse mutagenicity assay. Expressed human P450 1A2 showed typical P450 hemoprotein spectra. Maximum expression was achieved at 48 hrs after incubating at $30^{\circ}C$ in terrific broth containing ampicillin, IPTG and other supplements. High level expression of P450 1A2 in E. coli WP2 uvrA membranes was determined in SDS-PAGE. The well-known mutagens 2-aminoanthracene and MElQ increased the revertant colonies of E. coli WP2 uvrA expressing human P450 1A2 without an exogenous rat hepatic post-mitochondrial supernatant (S9 fraction) in a dose-dependent manner. The results show that the functional expression of human P450 in bacterial mutagenicity tester strain will provide a useful tool for studying the mechanism of the mutagenesis and carcinogenesis of new drugs and environmental chemicals.

• Kyungpook Mathematical Journal
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• 제11권1호
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• pp.93-99
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• 1971

In this paper, the author has established the formulae for product of two generalized hypergeometric polynomials by defining the polynomial in the form $$F_n(x)=x^{({\delta}-1)n}{_{p+{\delta}}F_q}\[\array{{\Delta}({\delta},-n),&a_1,&{\cdots}{\cdots},&a_p\\&b_1,&{\cdots}{\cdots},&b_q};\;{\lambda}x^c\]$$, where the symbol ${\Delta}({\delta},-n)$ represents the set of ${\delta}$-parameters: $${\frac{-n}{\delta}},\;{\frac{-n+1}{\delta}},\;{\cdots}{\cdots},\;{\frac{-n+{\delta}-1}{\delta}}$$ and ${\delta}$, n are positive integers. A number of known as well as new results have been also obtained with proper choice of parameters.

• Kyungpook Mathematical Journal
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• 제63권2호
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• pp.155-166
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• 2023

In 2018, Andrews introduced the partition functions ${\mathfrak{EO}}$(n) and ${\bar{\mathfrak{EO}}}$(n). The first of these denotes the number of partitions of n in which every even part is less than each odd part, and the second counts the number of partitions enumerated by the first in which only the largest even part appears an odd number of times. In 2021, Pore and Fathima introduced a new partition function ${\mathfrak{EO}}_e$(n) which counts the number of partitions of n which are enumerated by ${\bar{\mathfrak{EO}}}$(n) together with the partitions enumerated by ${\bar{\mathfrak{EO}}}$(n) where all parts are odd and the number of parts is even. They also proved some particular congruences for ${\bar{\mathfrak{EO}}}$(n) and ${\mathfrak{EO}}_e$(n). In this paper, we establish infinitely many families of congruences modulo 2, 4, 5 and 8 for ${\bar{\mathfrak{EO}}}$(n) and modulo 4 for ${\mathfrak{EO}}_e$(n). For example, if p ≥ 5 is a prime with Legendre symbol $({\frac{-3}{p}})=-1$, then for all integers n ≥ 0 and α ≥ 0, we have ${\bar{\mathfrak{EO}}}(8{\cdot}p^{2{\alpha}+1}(pn+j)+{\frac{19{\cdot}p^{2{\alpha}+2}-1}{3}}){\equiv}0$ (mod 8); 1 ≤ j ≤ (p - 1).

• 한국정보통신학회논문지
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• 제20권2호
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• pp.401-407
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• 2016

단순 다각형 내부의 두 점 p와 q가 주어질 때 다음의 문제를 고려할 수 있다. (1) 다각형에서 p와 q 둘 다로부터 가시적인 점들의 집합을 구하라. (2) p와 q 둘 중의 적어도 하나로부터 가시적인 점들의 집합을 구하라. 이 문제들은 두 가시성 다각형 사이의 교집합과 합집합을 구하는 문제에 해당한다. 본 논문에서는 재구성가능한 메쉬(RMESH)에서 이 문제들을 해결하는 알고리즘을 고려한다. 일반적인 두 다각형의 교차 영역을 구하는 알고리즘[1]을 이용하면, 두 가시성 다각형의 교집합을 구하는 문제를 O($n^3$) 크기의 RMESH에서 상수 시간에 해결할 수 있다. 여기서 n은 두 가시성 다각형의 꼭짓점 개수의 합이다. 본 논문에서는 가시성 다각형의 특성을 이용하여 평면 분할 그래프를 O($n^2$) 크기의 RMESH에서 상수 시간에 구축하고, 이를 통해 두 가시성 다각형의 교집합뿐만 아니라 합집합도 O($log^2n$) 시간에 구하는 알고리즘을 제시한다. 이 알고리즘은 기존의 결과에 비해 병렬 알고리즘의 비용을 나타내는 프로세서-시간 곱 지표를 O($n^3$)에서 O($n^2log^2n$)으로 개선한다.

• ETRI Journal
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• 제23권4호
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• pp.158-167
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• 2001

We examine the diffusion layers of some block ciphers referred to as substitution-permutation networks. We investigate the practical and provable security of these diffusion layers against differential and linear cryptanalysis. First, in terms of practical security, we show that the minimum number of differentially active S-boxes and that of linearly active S-boxes are generally not identical and propose some special conditions in which those are identical. We also study the optimal diffusion effect for some diffusion layers according to their constraints. Second, we obtain the results that the consecutive two rounds of SPN structure provide provable security against differential and linear cryptanalysis, i.e., we prove that the probability of each differential (resp. linear hull) of the consecutive two rounds of SPN structure with a maximal diffusion layer is bounded by $p^n(resp.q^n)$ and that of each differential (resp. linear hull) of the SDS function with a semi-maximal diffusion layer is bounded by $p^{n-1}(resp. q^{n-1})$, where p and q are maximum differential and linear probabilities of the substitution layer, respectively.

• 대한수학회논문집
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• 제32권3호
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• pp.661-676
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• 2017

Let T be a bounded linear operator acting on a complex Hilbert space ${\mathfrak{H}}$. In this paper we introduce the class, denoted ${\mathcal{Q}}(A(k),m)$, of operators satisfying $T^{m{\ast}}(T^{\ast}{\mid}T{\mid}^{2k}T)^{1/(k+1)}T^m{\geq}T^{{\ast}m}{\mid}T{\mid}^2T^m$, where m is a positive integer and k is a positive real number and we prove basic structural properties of these operators. Using these results, we prove that if P is the Riesz idempotent for isolated point ${\lambda}$ of the spectrum of $T{\in}{\mathcal{Q}}(A(k),m)$, then P is self-adjoint, and we give a necessary and sufficient condition for $T{\otimes}S$ to be in ${\mathcal{Q}}(A(k),m)$ when T and S are both non-zero operators. Moreover, we characterize the quasinilpotent part $H_0(T-{\lambda})$ of class A(k) operator.

• 대한수학회지
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• 제54권4호
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• pp.1121-1148
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• 2017

Go is an ancient game of great complexity and has a huge following in East Asia. It is also very rich mathematically, and can be played on any graph, although it is usually played on a square lattice. As with any game, one of the most fundamental problems is to determine the number of legal positions, or the probability that a random position is legal. A random Go position is generated using a model previously studied by the author, with each vertex being independently Black, White or Uncoloured with probabilities q, q, 1 - 2q respectively. In this paper we consider the probability of legality for two scenarios. Firstly, for an $N{\times}N$ square lattice graph, we show that, with $q=cN^{-{\alpha}}$ and c and ${\alpha}$ constant, as $N{\rightarrow}{\infty}$ the limiting probability of legality is 0, exp($-2c^5$), and 1 according as ${\alpha}$ < 2/5, ${\alpha}=2/5$ and ${\alpha}$ > 2/5 respectively. On the way, we investigate the behaviour of the number of captured chains (or chromons). Secondly, for a random graph on n vertices with edge probability p generated according to the classical $Gilbert-Erd{\ddot{o}}s-R{\acute{e}}nyi$ model ${\mathcal{G}}$(n; p), we classify the main situations according to their asymptotic almost sure legality or illegality. Our results draw on a variety of probabilistic and enumerative methods including linearity of expectation, second moment method, factorial moments, polyomino enumeration, giant components in random graphs, and typicality of random structures. We conclude with suggestions for further work.

• 한국환경생태학회지
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• 제15권4호
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• pp.369-378
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• 2002

백두대간 태백산지역의 백천계곡에 대해 삼림군집구조 분석을 실시하기 위해 50개 조사구를 설치하고, 식생조사를 실시하였다. TWINSPAN 기법을 활용하여 군락을 분리한 결과 신갈나무-소나무군락(I), 소나무-신갈나무군락(II), 당단풍-신갈나무군락(III), 박달나무-당단풍군락(IV), 그리고 층층나무군락(V)의 5개 군락으로 최종 분리되었다. 각 군락은 층위별 상대우점치 분석을 통하여 식생구조를 밝혔다. 연륜분석결과 백천계곡의 임령은 소나무림이 50~75년. 신갈나무림이 40년 내외로 밝혀졌다. 단위면적당(100$m^2$) 평균출현종수는 11.1$\pm$2.2종, 평균출현개체수는 74.6$\pm$28.1주였다. 흉고직경급별 분석을 포함한 이상의 결과로 식생천이를 예측한 결과 백천계곡은 소나무에서 신갈나무를 거쳐 층층나무, 박달나무 등의 활엽수로 전개될 것으로 판단된다

• Asian Pacific Journal of Cancer Prevention
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• 제13권11호
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• pp.5391-5397
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• 2012

Background: Neuroblastoma (NB), like most human cancers, is characterized by genomic instability, manifested at the chromosomal level as allelic gain, loss or rearrangement. Genetics methods, as well as conventional and molecular cytogenetics may provide valuable clues for the identification of target loci and successful search for major genes in neuroblastoma. We aimed to investigate AURKA and MYCN gene rearrangements and the chromosomal aberrations (CAs) to determine the prognosis of neuroblastoma. Methods: We performed cytogenetic analysis by G-banding in 25 cases [11 girls (44%) and 14 boys (66%)] and in 25 controls. Fluorescence in situ hybridization (FISH) with AURKA and MYCN gene probes was also used on interphase nuclei to screen for alterations. Results: Some 18.4% of patient cells exhibited CAs., with a significant difference between patient and control groups in the frequencies (P<0.0001). Some 72% of the cells had structural aberrations, and only 28% had numerical chnages in patients. Structural aberrations consisted of deletions, translocations, breaks and fragility in various chromosomes, 84% and 52% of the patients having deletions and translocations, respectively. Among these expressed CAs, there was a higher frequency at 1q21, 1q32, 2q21, 2q31, 2p24, 4q31, 9q11, 9q22, 13q14, 14q11.2, 14q24, and 15q22 in patients. 32% of the patients had chromosome breaks, most frequently in chromosomes 1, 2, 3, 4, 5, 8, 9, 11, 12, 19 and X. The number of cells with breaks and the genomic damage frequencies were higher in patients (p<0.001). Aneuploidies in chromosomes X, 22, 3, 17 and 18 were most frequently observed. Numerical chromosome abnormalities were distinctive in 10.7% of sex chromosomes. Fragile sites were observed in 16% of our patients. Conclusion: Our data confirmed that there is a close correlation between amplification of the two genes, amplification of MYCN possibly contributing significantly to the oncogenic properties of AURKA. The high frequencies of chromosomal aberrations and amplifications of AURKA and MYCN genes indicate prognostic value in children with neuroblastomas and may point to contributing factors in their development.

• 한국치위생학회지
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• 제17권2호
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• pp.319-330
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• 2017

Objectives: The purpose of this study was to compare SYBR Green qPCR, TaqMan, and bacterial selective medium cultures for accurate quantitative analysis of oral microorganisms. Methods: The SYBR Green method is widely used to analyze the total amount of oral microorganisms in oral saliva. However, in this study, MTR-PCR method based on TaqMan method was performed using newly developed primers and probes. In addition, it was designed to confirm the detection agreement of bacteria among bacteria detection method. Results: As a result of MRT-PCR and SYBR Green qPCR analysis, more than 40 times (0.9-362.9 times) bacterium was detected by MRT-PCR. In addition, more bacteria were detected in saliva in the order of MRT-PCR, SYBR Green qPCR, and bacterium culture, and the results of MRB-PCR and SYBR Green qPCR showed the highest agreement. The agreement between the three methods for detecting P. intermedia was similar between 71.4 and 88.6%, but the agreement between MRT-PCR and SYBR Green qPCR was 80% for S. mutans. Among them, the number of total bacteria, P. intermedia and S. mutans bacteria in saliva was higher than that of SYBR Green qPCR method, and bacterium culture method by MRT-PCR method. P. intermedia and S. mutans in saliva were detected by MRT-PCR and MRT-PCR in 88.6% of cases, followed by the SYBR Green qPCR method (80.0%). Conclusions: The SYBR Green qPCR method is the same molecular biology method, but it can not analyze the germs at the same time. Bacterial culturing takes a lot of time if there is no selective culture medium. Therefore, the MRT-PCR method using newly developed primers and probes is considered to be the best method.