• 대한수학회지
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• 제48권5호
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• pp.969-984
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• 2011

This paper discusses the hypercyclicity of weighted composition operators acting on the space of holomorphic functions on the open unit ball $B_N$ of $\mathbb{C}^N$. Several analytic properties of linear fractional self-maps of $B_N$ are given. According to these properties, a few necessary conditions for a weighted composition operator to be hypercyclic in the space of holomorphic functions are proved. Besides, the hypercyclicity of adjoint of weighted composition operators are studied in this paper.

• Journal of Yeungnam Medical Science
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• 제39권1호
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• pp.24-30
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• 2022

Background: Texture analysis has been used as a method for quantifying image properties based on textural features. The aim of the present study was to evaluate the usefulness of magnetic resonance imaging (MRI) texture analysis for the evaluation of viable ovarian tissue on the perfusion map of ovarian endometriosis. Methods: To generate a normalized perfusion map, subtracted T1-weighted imaging (T1WI), T1WI and contrast-enhanced T1W1 with sequences were performed using the same parameters in 25 patients with surgically confirmed ovarian endometriosis. Integrated density is defined as the sum of the values of the pixels in the image or selection. We investigated the parameters for texture analysis in ovarian endometriosis, including angular second moment (ASM), contrast, correlation, inverse difference moment (IDM), and entropy, which is equivalent to the product of area and mean gray value. Results: The perfusion ratio and integrated density of normal ovary were 0.52±0.05 and 238.72±136.21, respectively. Compared with the normal ovary, the affected ovary showed significant differences in total size (p<0.001), fractional area ratio (p<0.001), and perfusion ratio (p=0.010) but no significant differences in perfused tissue area (p=0.158) and integrated density (p=0.112). In comparison of parameters for texture analysis between the ovary with endometriosis and the contralateral normal ovary, ASM (p=0.004), contrast (p=0.002), IDM (p<0.001), and entropy (p=0.028) showed significant differences. A linear regression analysis revealed that fractional area had significant correlations with ASM (r²=0.211), IDM (r²=0.332), and entropy (r²=0.289). Conclusion: MRI texture analysis could be useful for the evaluation of viable ovarian tissues in patients with ovarian endometriosis.

• 정보관리연구
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• 제39권3호
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• pp.95-113
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• 2008

급속도로 변화하는 과학기술 환경 속에서 기업들은 현존하는 기술의 발전을 모니터링함과 동시에 새롭게 부상하는 유망기술을 찾아야만 경쟁력을 가질 수 있다. 각 국가에서는 경쟁적으로 유망연구 영역을 찾고 있는데, 대부분의 국가에서는 전문가 평가를 기반으로 한 델파이 방법으로 유망기술을 탐색하고 있다. 그러나 델파이와 같은 전문가방식은 기본적으로 전문가의 주관적 판단에 의지하기 때문에 편향성과 이에 따른 문제가 발생한다. 본 연구에서는 델파이 방법의 기술예측방법이 가지는 문제점을 개선하기 위해 과학계량학적 방법으로 유망연구영역을 탐색하였다. 탐색과정에서는 다음 3가지의 특별한 노력을 통해 과학계량학적 방법의 성능을 제고하고자 하였다. 첫째, 데이터베이스 선정에 있어서 공학 등 저널수가 적은 기술분야에서도 유망연구영역의 도출이 가능한가를 고려하였다. 둘째, 과학기술 전분야를 대상으로 하는 분석에서 과학기술분야별로 가지고 있는 인용수의 차이로 인해 발생하는 문제점을 해결하고자 부분인용계상(fractional citation counting)과 이동평균을 이용한 선형회귀분석을 도입하였다. 셋째, 과학계량학적 분석으로 나온 결과를 정성적으로 검증하여 과학계량학적 방법에 의한 오류를 최소화 하였다. 최종 290개의 유망연구영역을 선정하였으며, 각 영역은 기술의 네트워크상에서 가시화하였다. 본 연구에서는 Scopus 데이터베이스가 사용되었으며, 데이터마이닝과 가시화에는 한국과학기술정보연구원에서 개발한 KnowledgeMatrix가 사용되었다.

• 대한의용생체공학회:의공학회지
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• 제27권5호
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• pp.203-209
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• 2006

The aim of this study is to investigate the feasibility of ex vivo MR diffusion tensor imaging technique in order to observe the diffusion-contrast characteristics of human gastric tissues. On normal and pathologic gastric tissues, which have been fixed in a polycarbonate plastic tube filled with 10% formalin solution, laboratory made 3D diffusion tensor Turbo FLASH pulse sequence was used to obtain high resolution MR images with voxel size of $0.5{\times}0.5{\times}0.5mm^3\;using\;64{\times}32{\times}32mm^3$ field of view in conjunction with an acquisition matrix of $128{\times}64{\times}64$. Diffusion weighted- gradient pulses were employed with b values of 0 and $600s/mm^2$ in 6 orientations. The sequence was implemented on a clinical 3.0-T MRI scanner(Siemens, Erlangen, Germany) with a home-made quadrature-typed birdcage Tx/Rx rf coil for small specimen. Diffusion tensor values in each pixel were calculated using linear algebra and singular value decomposition(SVD) algorithm. Apparent diffusion coefficient(ADC) and fractional anisotropy(FA) map were also obtained from diffusion tensor data to compare pixel intensities between normal and abnormal gastric tissues. The processing software was developed by authors using Visual C++(Microsoft, WA, U.S.A.) and mathematical/statistical library of GNUwin32(Free Software Foundation). This study shows that 3D diffusion tensor Turbo FLASH sequence is useful to resolve fine micro-structures of gastric tissue and both ADC and FA values in normal gastric tissue are higher than those in abnormal tissue. Authors expect that this study also represents another possibility of gastric carcinoma detection by visualizing diffusion characteristics of proton spins in the gastric tissues.

• Journal of Korean Neurosurgical Society
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• 제38권5호
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• pp.331-337
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• 2005

Objective : The purpose of this study is to identify correlations between diffusion tensor imaging[DTI] and motor improvement by quantifying and visualizing the corticospinal tract on DTI to predict motor impairment in patients with hypertensive intracerebral hemorrhage[ICH]. Methods : Fifteen normal subjects and 7 patients with hypertensive ICH were examined and the latter were treated surgically. DTI was performed with a 3.0 T MRI. The region of interest[ROI] from the posterior limbs of both internal capsules was measured on a fractional anisotropy[FA] map, and the ratios of ROIs were calculated. Tractography, 3-dimensional DTI was then constructed. Motor impairment was assessed on admission and 2weeks after stroke by the Motricity Index[MI]. The FA ratio, tractography and score on MI were analyzed for correlations. Results : The FA ratio from the initial DTI did not show a linear correlation with motor impairment. However, after 2weeks, patients with high FA ratios showed high degrees of motor recovery, regardless of the initial severity, and patients with low FA ratios showed low recovery rates. Otherwise, a relationship between the amount of hematoma and the degree of motor recovery could not be determined. On tractography, injury of the corticospinal tract could be visualized and estimated 3-dimensionally. Conclusion : FA ratio analysis and tractography constructed from DTI may be useful in understanding corticospinal tract injury and in predicting the recovery from motor impairment in patients.

• 한국지역지리학회지
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• 제12권4호
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• pp.496-507
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• 2006

본 연구는 고해상도 자료와 하이퍼스펙트럴 자료를 혼용하여 하와이 화산 국립공원 내 해안 지역의 식생을 분류하고자 하였다. 연구지역에 주로 나타나는 식생은 3종의 초본(broomsedge, natal redtop, and pili)과 작은 관목 등으로 대표되는 비초본으로 구분된다. 분류 기법으로는 unsupervised classification과 supervised classification을 결합한 하이브리드법을 이용하여 전체적으로 3단계 분류과정을 적용하였다. 첫째로는, IKONOS 고해상 위성자료를 이용하여, 식생 및 비식생지역을 unsupervised classification법을 통해 분류하였다. 두 번째로는, minimum noise fraction(MNF) transformation을 이용하여 AVIRIS하이퍼스펙트럴 자료로부터 주성분을 추출하여 자료를 압축하는 과정을 거쳤다. 20미터 해상도를 가진 AVIRIS 픽셀들은 대부분 용암면과 식생면으로부터 반사된 복사신호가 혼합되어 있기때문에, 용암과 식생의 지표피복 비율에 따른 선형모형을 적용하여 용암면이 갖는 반사 신호를 각 픽셀로부터 제거하였다. 최종적으로, 각 픽셀에 대하여, 식생피복 비율에 비례하는 AVIRIS 하이퍼스펙트럴 자료의 식생성분을 토대로 maximum likelihood algorithm에 따라 supervised classification법을 적용하여 초지 및 관목으로 대표되는 지표식생을 분류하였다.

• 한국의학물리학회:학술대회논문집
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• 한국의학물리학회 2002년도 Proceedings
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• pp.53-60
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• 2002

Motion of lung tumors from respiration has been reported in the literature to be as large as of 1-2 cm. This motion requires an additional margin between the Clinical Target Volume (CTV) and the Planning Target Volume (PTV). While such a margin is necessary, it may not be sufficient to ensure proper delivery of Intensity Modulated Radiotherapy (IMRT) to the CTV during the simultaneous movement of the DMLC. Gated treatment has been proposed to improve normal tissues sparing as well as to ensure accurate dose coverage of the tumor volume. The following questions have not been addressed in the literature: a) what is the dose error to a target volume without gated IMRT treatment\ulcorner b) what is an acceptable gating window for such treatment. In this study, we address these questions by proposing a novel technique for calculating the 3D dose error that would result if a lung IMRT plan were delivered without gating. The method is also generalized for gated treatment with an arbitrary triggering window. IMRT plans for three patients with lung tumor were studied. The treatment plans were generated with HELIOS for delivery with 6 MV on a CL2100 Varian linear accelerator with a 26 pair MLC. A CTV to PTV margin of 1 cm was used. An IMRT planning system searches for an optimized fluence map ${\Phi}$ (x,y) for each port, which is then converted into a dynamic MLC file (DMLC). The DMLC file contains information about MLC subfield shapes and the fractional Monitor Units (MUs) to be delivered for each subfield. With a lung tumor, a CTV that executes a quasi periodic motion z(t) does not receive ${\Phi}$ (x,y), but rather an Effective Incident Fluence EIF(x,y). We numerically evaluate the EIF(x,y) from a given DMLC file by a coordinate transformation to the Target's Eye View (TEV). In the TEV coordinate system, the CTV itself is stationary, and the MLC is seen to execute a motion -z(t) that is superimposed on the DMLC motion. The resulting EIF(x,y)is inputted back into the dose calculation engine to estimate the 3D dose to a moving CTV. In this study, we model respiratory motion as a sinusoidal function with an amplitude of 10 mm in the superior-inferior direction, a period of 5 seconds, and an initial phase of zero.