• 제목/요약/키워드: Recurrence relation

검색결과 123건 처리시간 0.026초

키덜트(kidult) 패션상품의 소비자 특성과 제품이미지 유형 및 제품선택에 관한 연구 (Study on the Consumer Characteristic and the Facter of Goods as well as the Type of Goods Image in Kidult Fashion Goods)

  • 이승진;유태순
    • 한국의류학회지
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    • 제31권2호
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    • pp.225-235
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    • 2007
  • The purpose of this study is to grasp the character of consumers and the situation of domestic kidult fashion market. By grasping the distribution of kidult generation and the factors of product-selection based on products images, this research could be a substantial data to kidult associated company product planning and marketers. Subjects for this study were 213 Daegu women from 20 to 30 yearn of age who have high propensity to kidult. The statistical treatment of material used by SPSS 1.0 program consists of frequency analysis, factor analysis, multiple regression analysis, cluster analysis, and t-test. As a results, the characteristics of kidult consumers are classified as six factors. On image toward of kidult fashion goods, there was a significant difference 20 and 30 aged generation. According to fashion goods group, each group recognized on image of fashion products as follow: Group A is 'fancy', group B is 'childish', group C are 'familiarity', group D was recognized as 'fancy' and was identical to A on adjective expression, but was different A on recognition. All consumer characteristics of fun, character, girlish, nostalgia have a significant relation with the recurrence of products selection factor, and its order was character, girlish, nostalgia, and fun.

A NEW EXTENSION OF THE MITTAG-LEFFLER FUNCTION

  • Arshad, Muhammad;Choi, Junesang;Mubeen, Shahid;Nisar, Kottakkaran Sooppy;Rahman, Gauhar
    • 대한수학회논문집
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    • 제33권2호
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    • pp.549-560
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    • 2018
  • Since Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903, due to its usefulness and diverse applications, a variety and large number of its extensions (and generalizations) and variants have been presented and investigated. In this sequel, we aim to introduce a new extension of the Mittag-Leffler function by using a known extended beta function. Then we investigate ceratin useful properties and formulas associated with the extended Mittag-Leffler function such as integral representation, Mellin transform, recurrence relation, and derivative formulas. We also introduce an extended Riemann-Liouville fractional derivative to present a fractional derivative formula for a known extended Mittag-Leffler function, the result of which is expressed in terms of the new extended Mittag-Leffler functions.

EVALUATING SOME DETERMINANTS OF MATRICES WITH RECURSIVE ENTRIES

  • Moghaddamfar, Ali Reza;Salehy, Seyyed Navid;Salehy, Seyyed Nima
    • 대한수학회보
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    • 제46권2호
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    • pp.331-346
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    • 2009
  • Let ${\alpha}$ = (${\alpha}_1,\;{\alpha}_2$,...) and ${\beta}$ = (${\beta}_1,\;{\beta}_2$,...) be two sequences with ${\alpha}_1$ = ${\beta}_1$ and k and n be natural numbers. We denote by $A^{(k,{\pm})}_{{\alpha},{\beta}}(n)$ the matrix of order n with coefficients ${\alpha}_{i,j}$ by setting ${\alpha}_{1,i}$ = ${\alpha}_i,\;{\alpha}_{i,1}$ = ${\beta}_i$ for 1 ${\leq}$ i ${\leq}$ n and $${\alpha}_{i,j}=\{{\alpha}_{i-1,j-1}+{\alpha}_{i-1,j}\;if\;j{\equiv}$$2,3,4,..., k + 1 (mod 2k) $$\{{\alpha}_{i-1,j-1}-{\alpha}_{i-1,j}\;if\;j{\equiv}$$ k + 2,..., 2k + 1 (mod 2k) for 2 ${\leq}$ i, j ${\leq}$ n. The aim of this paper is to study the determinants of such matrices related to certain sequence ${\alpha}$ and ${\beta}$ and some natural numbers k.

MicroRNAs and Lymph Node Metastasis in Papillary Thyroid Cancers

  • Mutalib, Nurul-Syakima Ab;Yusof, Azliana Mohamad;Mokhtar, Norfilza Mohd;Harun, Roslan;Muhammad, Rohaizak;Jamal, Rahman
    • Asian Pacific Journal of Cancer Prevention
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    • 제17권1호
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    • pp.25-35
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    • 2016
  • Lymph node metastasis (LNM) in papillary thyroid cancer (PTC) has been shown to be associated with increased risk of locoregional recurrence, poor prognosis and decreased survival, especially in older patients. Hence, there is a need for a reliable biomarker for the prediction of LNM in this cancer. MicroRNAs (miRNAs) are small noncoding RNAs that regulate gene translation or degradation and play key roles in numerous cellular functions including cell-cycle regulation, differentiation, apoptosis, invasion and migration. Various studies have demonstrated deregulation of miRNA levels in many diseases including cancers. While a large number of miRNAs have been identified from PTCs using various means, association of miRNAs with LNM in such cases is still controversial. Furthermore, studies linking most of the identified miRNAs to the mechanism of LNM have not been well documented. The aim of this review is to update readers on the current knowledge of miRNAs in relation to LNM in PTC.

Ki67 Frequency in Breast Cancers without Axillary Lymph Node Involvement and its Relation with Disease-free Survival

  • Shandiz, Fatemeh Homaei;Shabahang, Hossein;Afzaljavan, Fahimeh;Sharifi, Nourieh;Tavasoli, Alireza;Afzalaghaee, Monavar;Roshanzamir, Emane;Pasdar, Alireza
    • Asian Pacific Journal of Cancer Prevention
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    • 제17권3호
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    • pp.1347-1350
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    • 2016
  • Background: Breast cancer prognosis is influenced by several histopathology and clinical factors including expression of Ki67 which may have a predictive role in lymph node negative breast cancer patients. The aim of this study was to assess Ki67 expression in breast cancers without axillary lymph node involvement and to evaluate its prognostic value with regard to disease-free survival. Materials and Methods: Subjects were selected from non-metastatic invasive breast cancer patients who were referred to the oncology department of Ghaem hospital during 1 April 2001 to 1 April 2008. Ki67 levels were measured using immunohistochemistry (IHC) and compared with clinicopathological features. The relation of Ki67 expression with disease-free survival was also analysed. Results: A total of 106 women with a mean age of 49 were examined. Some 94.3% were classified as having invasive ductal carcinomas and the mean tumour diameter at the time of diagnosis was 2.8 cm. Some 50.9% of cases were ER positive and 47.2% were PR positive. P53 expression was positive in 48.1% of the cases. According to the IHC results, only 8.5% of the patients were Her2/neu positive. Ki67 was positive in 66 (62.3%) with a significant relation to lower age (p=0.0229) and P53 positivity (p=0.005). After an average of 40-months follow up, 13 (12.3%) demonstrated recurrence, most commonly systemic. Of 13 cases with relapse, 10 patients (77%) were Ki67 positive. Conclusions: In our population Ki67 appeared to be an independent prognostic factor for three-year survival. However, we stress that a survival study with a bigger sample size would help to support this conclusion.

비강 및 부비동의 반전성 유두종에서 인유두종바이러스검출과 p53및 c-erbB-2의 발현 (Detection of Human Papillomavirus and Expression of p53, c-erbB-2 Protein in Inverted Papilloma of the Nasal Cavity and Paranasal Sinuses)

  • 조재식;백준;임상철;조연;윤제환;서덕중;박창수
    • 대한두경부종양학회지
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    • 제17권2호
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    • pp.162-168
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    • 2001
  • Background: Inverted papilloma(IP) of the nasal cavity and paranasal sinuses is a benign neoplastic condition that can be associated with squamous cell carcinoma (SCC). Several studies have indicated an etiologic role for viruses in the development of inverted papilloma. And it is necessary to find out the significance of a biologic markers such as p53, c-erbB-2 to predict the malignant potential. The purposes of this study are to detect HPV in inverted papilloma of the nasal cavity and paranasal sinus, to examine role of HPV as an etiological agent, to examine the relationship between HPV subtype and malignant transformation of inverted papilloma, and to investigate the relation between expression rate of p53, c-erbB-2 and HPV in recurrent or malignant transformation cases. Material and Methods: Thirty two cases of inverted papilloma(IP) in the nasal cavity and paranasal sinuses were reviewed and classified into 3 groups; simple IP, IP with dysplasia group, IP with squamous cell carcinoma group. Paraffin embedded achival tissue was used in this study. The HPV was detected by in situ hybridzation (ISH) using HPV type 6/11, 16/18, 31/33/35 DNA probes. Expression of p53 and c-erbB-2 was examined by immunohistochemical staining. Results: 1) The HPV was detected in 6(19%) out of 32 cases. 2) The HPV 6/11 was dectected in 4 out of 21 cases of simple IP, HPV 16/18 in 1, HPV 31/33/35 in lout of 8 cases of IP with dysplasia respectively. 3) The positive expression of p53 was 13 cases out of 32 cases; 2 out of 21 cases of simple IP, all of 8 cases of IP with dysplasia and 3 cases of IP with squamous cell carcinoma 4) The positive expression of c-erbB-2 was in 24 out of 32 cases; 16 out of 21 cases of simple IP, 6 out of 8 cases of IP with dysplasia, 2 out of 3 cases of IP with squamous cell ca. 5) The recurrence of IP occurred in lout of 6 cases of positive for HPV, in 4 out of 26 cases negative for HPV. 6) The recurrence of IP occurred only in positive cases for p53. 7) The recurrence of IP occurred in 4(17%) out of 24 cases positive for c-erbB-2, in 1(13%) out of 8 cases negative for c-erbB-2. Conclusion: The p53 expression was associated with Inverted papillomas exhibiting evidence of malignant transformation. Also, there was a correlation between the p53 expression and recurrence.

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비소세포 폐암에서 단클론항체 M30를 이용한 세포자멸사 측정 (Detection of Apoptosis by M30 Monoclonal Antibody in Non-small Cell Lung Carcinomas)

  • 김광일;이건;임창영;이헌재
    • Journal of Chest Surgery
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    • 제40권2호
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    • pp.114-121
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    • 2007
  • 배경: 종양 발생기전에 있어서 세포자멸사가 중요한 역할을 한다. 조직 내의 세포자멸사 측정은 TUNEL (terminal deoxyribonucleotidyl transferase mediated nick end lagbelling), ISEL (in situ nick end labelling) 등의 방법을 쓰지만, 반응 세포의 비특이성 및 결과 판독의 주관성 등이 논란의 대상이 되어왔다. 최근 이러한 단점을 보완할 수 있는 단클론항체 M30이 소개되어, 인체 조직의 대장암, 가슴 샘종, 유방암, 자궁내막암 등에서 M30 면역염색을 이용한 세포자멸사 연구가 있었으나 폐암에 대한 연구는 없었다. 저자들은 비소세포 폐암에서 M30 면역염색에 의해 발현되는 세포자멸사 양상이 세포주기 핵심조절자인 p53 면역염색 발현양상 및 임상양상과 갖는 연관성을 살펴보고자 하였다. 대상 및 방법: 비소세포 폐암으로 근치적 절제수술을 받은 환자 45명을 대상으로 하였다. M30과 P53 면역조직화학염색에 실시하여 각 항체의 발현양상과 임상 병리학적 특성을 비교 분석하였다. 술 후 생존기간과 무병 생존기간을 구하였고, 단변량 분석을 실시하여 생존기간에 영향을 미치는 인자를 알아보았다. 다변량 분석을 실시하여 M30과 p53 발현양상이 술 후 사망위험도 및 재발위험도에 미치는 영향을 알아보았다. 결과: M30 양성세포 수는 p53 양성군이 p53 음성군보다 유의하게 많았고(p53 양성군 $61.7{\pm}26.8$개 vs. p53 음성군 $45.6{\pm}29.6$개, p=0.005), 세포사멸사 지수가 1 이상(Apoptosis Index, $Al{\ge}1$)인 환자 수도 p53 양성군에서 유의하게 많았다(p53 양성군 52.4% (l1/21) vs. p53 음성군 16.7% (4/24), p=0.025). 단변량 분석에서는 흡연량, 활동도(Performance Status, PS), 그리고 AI가 술 후 생존기간에 유의한 차이를 보였다. 다변량 분석에서는 AI가 높은 군에서 수술 후 암사망 위험도(Relative risk, R.R 7.482; 95% Confidence Interval, CI $1.886{\sim}29.678$; p=0.004)와 재발 위험도(R.R 3.795; 95% CI $1.184{\sim}12.158$; p=0.025)가 유의하게 증가하였다. p53 발현양상은 수술 후 생존기간과 암사망 위험도 및 재발 위험도에 영향을 미치지 않았다. 결론: 이상의 연구에서 단클론 항체 M30을 이용한 면역조직화학염색이 비소세포 폐암의 세포자멸사를 관찰하는 데 매우 유용한 방법임을 확인하였으며, 환자의 예후를 예측하는 데에도 도움이 될 수 있음을 알 수 있었다.

Relation between Ki-67, ER, PR, Her2/neu, p21, EGFR, and TOP II-α Expression in Invasive Ductal Breast Cancer Patients and Correlations with Prognosis

  • Yan, Jian;Liu, Xiao-Long;Han, Lu-Zhe;Xiao, Gang;Li, Ning-Lei;Deng, Yi-Nan;Yin, Liang-Chun;Ling, Li-Juan;Yu, Xiao-Yuan;Tan, Can-Liang;Huang, Xiao-Ping;Liu, Li-Xin
    • Asian Pacific Journal of Cancer Prevention
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    • 제16권2호
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    • pp.823-829
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    • 2015
  • The aim of the present study was to investigate the expression of the transcription factor Ki-67, ER, PR, Her2/neu, p21, EGFR, and TOP II-${\alpha}$ in the tumor tissue of patients with invasive ductal carcinoma(IDC); in addition, we examined correlations between these markers. Two hundred and sixteen IDC patients, who were not previously been treated with chemo- or radiotherapy, were included in the study. All tumors were grade I-III. Expression of molecular markers was determined by immunohistochemical analysis on paraffin-embedded tissue sections. Follow-up data were collected for 3 months to 10 years and analyzed for tumor recurrence, survival time, and prognostic risk factors. We determined Ki-67 expression correlates with the expression of ER, PR, HER-2, EGFR, and TOP-${\alpha}$, as well as lymph node involvement, high tumor grade, lymphovascular invasion, high tumor stage, and high TNM stage in IDC. Positive Ki-67 expression was a risk factor for rapid tumor recurrence and may help tumor progression, leading to poor prognosis in IDC. Ki-67 was directly correlated with EGFR, TOP II-${\alpha}$, lymph node involvement, high tumor grade, lymphovascular invasion, high tumor stage, and high TNM stage in the hormone receptor subtypes of breast cancer. In triple negative breast cancer, Ki-67 correlated with TOP II-${\alpha}$. Expression of Ki-67 correlated with that of ER, PR, HER-2, EGFR, TOP II-${\alpha}$, and p21. In addition, the biomarker Ki-67 has a role as a prognostic factor and indicates a poor prognosis in IDC.

SymMerge 알고리즘의 새로운 복잡도 분석 (A New Complexity Analysis of the SymMerge Algorithm)

  • 김복선
    • 한국지능시스템학회논문지
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    • 제25권5호
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    • pp.515-521
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    • 2015
  • SymMerge 알고리즘은 두 입력수열 u와 v ($\left|u \right|=m$, $\left|v \right|=n$, $m{\leq}n$)에 대한 효율적 병합 알고리즘이다. SymMerge 알고리즘의 비교횟수와 관련한 복잡도 분석을 하고자 하며 지금까지의 복잡도 분석은 복잡도의 상계값을 찾으므로 점근적 계산방법을 통해 이루어졌다. 이 논문에서는 지금까지의 분석방법과는 달리 SymMerge 알고리즘의 대표적 두 special case에 해당하는 "Symmetric case"와 "Maximum spanning case"에 있어서 병합을 위해 요구되는 정확한 비교횟수를 즉 비교횟수의 최소상계 값을 계산해 보이고자 한다. "Symmetric case"의 경우 사이즈 $m=2^k,\;n=2^l,l{\geq}k$인 임의의 입력수열에 대해 SymMerge 알고리즘이 필요로 하는 비교횟수는 정확하게 $m\;log\frac{n}{m}+4m-logm-3$ 이고 "Maximum spanning case"의 경우 사이즈 $m=2^k,n=2^m-m$ 인 임의의 입력수열에 대해 SymMerge 알고리즘이 필요로 하는 비교횟수는 정확하게 $\frac{1}{2}m^2+(m+1)logm-\frac{3}{2}m+2$ 임을 계산해 보인다. 추가로 이들 두 special case에 있어서 요구되는 비교횟수가 재귀적 함수에 의해 정의될 수 있음을 보인다.

Impact of Methylation of the Gene $p16^{INK4a}$ on Prognosis of Head and Neck Osteosarcoma

  • Kim, Yong-Deok;Hwang, Dae-Seok;Kim, Cheol-Hoon;Shin, Sang-Hun;Kim, Uk-Kyu;Kim, Jong-Ryoul;Chung, In-Kyo
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제33권1호
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    • pp.46-54
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    • 2007
  • PURPOSE Osteosarcoma occurring in the head and neck region is known as a malignant tumor that shows a relatively poor prognosis and, despite various treatments, clinicians have often been confounded by it. The existence or non-existence of the mutation of the gene $p16^{INK4a}$ has been used in prognosis assessment. In this study, author have attempted to determine whether methylation of the gene $p16^{INK4a}$ could be applied to forecast the progress of osteosarcomas in the head and neck region having been given poor prognoses in the diagnostic process and the early stage of treatment. RESEARCH SUBJECT AND METHOD Clinicopathologic investigations, immunohistochemical examinations, a methylation specific polymerase reaction (MSP) analysis, and a survival analysis were conducted on the tissues of 20 patients with mandibulofacial osteosarcoma. RESULTS Neither age, sex, size, smoking or non-smoking, nor region have showed a statistical significance with methylation or unmethylation of the gene $p16^{INK4a}$ and expression rates demonstrated by immunohisto- chemical examinations. A chi-square test indicated that recurrence inclination has no relation with the expression rate of p16 protein (p=0.6615), but it showed a statistical significance with methylation of the gene $p16^{INK4a}$ (p=0.0033). With respect to investigations of the survival rates, a Kaplan-Meier survival analysis found that the manifestation rate of p16 protein did not have an impact on survival (p=0.8864), but that the methylation of the gene $p16^{INK4a}$ resulted in significant differences in survival rates (p=0.0105). CONCLUSIONS The above results show that methylation of the gene $p16^{INK4a}$ could be one of the major factors that help determine the recurrence inclination and prognosis of osteosarcomas occurring in the head and neck region.