• Title/Summary/Keyword: Delta-bar-delta

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Evaluation of Setup Uncertainty on the CTV Dose and Setup Margin Using Monte Carlo Simulation (몬테칼로 전산모사를 이용한 셋업오차가 임상표적체적에 전달되는 선량과 셋업마진에 대하여 미치는 영향 평가)

  • Cho, Il-Sung;Kwark, Jung-Won;Cho, Byung-Chul;Kim, Jong-Hoon;Ahn, Seung-Do;Park, Sung-Ho
    • Progress in Medical Physics
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    • v.23 no.2
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    • pp.81-90
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    • 2012
  • The effect of setup uncertainties on CTV dose and the correlation between setup uncertainties and setup margin were evaluated by Monte Carlo based numerical simulation. Patient specific information of IMRT treatment plan for rectal cancer designed on the VARIAN Eclipse planning system was utilized for the Monte Carlo simulation program including the planned dose distribution and tumor volume information of a rectal cancer patient. The simulation program was developed for the purpose of the study on Linux environment using open source packages, GNU C++ and ROOT data analysis framework. All misalignments of patient setup were assumed to follow the central limit theorem. Thus systematic and random errors were generated according to the gaussian statistics with a given standard deviation as simulation input parameter. After the setup error simulations, the change of dose in CTV volume was analyzed with the simulation result. In order to verify the conventional margin recipe, the correlation between setup error and setup margin was compared with the margin formula developed on three dimensional conformal radiation therapy. The simulation was performed total 2,000 times for each simulation input of systematic and random errors independently. The size of standard deviation for generating patient setup errors was changed from 1 mm to 10 mm with 1 mm step. In case for the systematic error the minimum dose on CTV $D_{min}^{stat{\cdot}}$ was decreased from 100.4 to 72.50% and the mean dose $\bar{D}_{syst{\cdot}}$ was decreased from 100.45% to 97.88%. However the standard deviation of dose distribution in CTV volume was increased from 0.02% to 3.33%. The effect of random error gave the same result of a reduction of mean and minimum dose to CTV volume. It was found that the minimum dose on CTV volume $D_{min}^{rand{\cdot}}$ was reduced from 100.45% to 94.80% and the mean dose to CTV $\bar{D}_{rand{\cdot}}$ was decreased from 100.46% to 97.87%. Like systematic error, the standard deviation of CTV dose ${\Delta}D_{rand}$ was increased from 0.01% to 0.63%. After calculating a size of margin for each systematic and random error the "population ratio" was introduced and applied to verify margin recipe. It was found that the conventional margin formula satisfy margin object on IMRT treatment for rectal cancer. It is considered that the developed Monte-carlo based simulation program might be useful to study for patient setup error and dose coverage in CTV volume due to variations of margin size and setup error.

Effect of $SnO_2$ addition on the growth of $Y_1Ba_2Cu_3O_{7-\delta}$phase in Y-Ba-Cu-O system (Y-Ba-Cu-O계에서 $Y_1Ba_2Cu_3O_{7-\delta}$상의 성장에 미치는 $SnO_2$의 효과)

  • Im, Dae-Ho;Song, Myeong-Yeop;Won, Dong-Yeon;Hong, Gye-Won
    • Korean Journal of Materials Research
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    • v.4 no.4
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    • pp.428-438
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    • 1994
  • In order to investigate the effect of $SnO_2$ on the growth of 123 phase in Y-Ba-Cu-0 system, O.1Sn-doped 123+Sn compact was coupled with Sn-free 123 compact by placing the former on the latter. In case of the coupled samples which were held at $1100^{\circ}C$ for 24hr and then at $970^{\circ}C$ for lhr, 123 phase grew from the surface of O.1Sn-doped 123+Sn compact toward the inner of Sn-free 123 compact. In case of the coupled samples which were held at $1100^{\circ}C$ for 48hr and then at $970^{\circ}C$ for lhr, it was not the 123 phase but Ba-Y-Sn grains that were observed. Ba-Y-Sn grains with a shape of bar was composed of Ba : Y : Sn=5 : 3 : 2, approximately.

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Evaluation of Microstructural and Mechanical Property of Medium-sized HT9 Cladding Forged Material for Sodium-cooled Fast Reactor (소듐냉각고속로 피복관용 중형 HT9 단조품 소재의 미세조직 및 기계적 특성 평가)

  • Kim, Jun-Hwan;Lee, Kang-Soo;Kim, Sung-Ho;Lee, Chan-Bock
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.10 no.1
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    • pp.21-26
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    • 2012
  • Microstructural and mechanical property were evaluated at the medium-sized HT9 (12Cr-1MoWV) forged steel which was considered as primary candidate for the fuel cladding in sodium-cooled fast reactor (SFR). Material was forged at $1170^{\circ}C$ after the induction melting to make round bar as 160mm diameter, 7000mm length then the radial distribution of microstructure as well as microhardness was evaluated. The results showed that overall microstructure exhibited as ferrite-martensite structure, where small amount (2~3%) of delta ferrite was formed throughout the specimen and maximum 15% of transformed ferrite was formed at the center, where it gradually decreased toward the radial direction. Sensitivity analysis of the cooling curve and Time-Temperature-Transformation (TTT) diagram revealed that formation of transformed ferrite could be avoided when the diameter was decreased down to 120mm.

REGULARITY AND MULTIPLICITY OF SOLUTIONS FOR A NONLOCAL PROBLEM WITH CRITICAL SOBOLEV-HARDY NONLINEARITIES

  • Alotaibi, Sarah Rsheed Mohamed;Saoudi, Kamel
    • Journal of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.747-775
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    • 2020
  • In this work we investigate the nonlocal elliptic equation with critical Hardy-Sobolev exponents as follows, $$(P)\;\{(-{\Delta}_p)^su={\lambda}{\mid}u{\mid}^{q-2}u+{\frac{{\mid}u{\mid}^{p{^*_s}(t)-2}u}{{\mid}x{\mid}^t}}{\hspace{10}}in\;{\Omega},\\u=0{\hspace{217}}in\;{\mathbb{R}}^N{\backslash}{\Omega},$$ where Ω ⊂ ℝN is an open bounded domain with Lipschitz boundary, 0 < s < 1, λ > 0 is a parameter, 0 < t < sp < N, 1 < q < p < ps where $p^*_s={\frac{N_p}{N-sp}}$, $p^*_s(t)={\frac{p(N-t)}{N-sp}}$, are the fractional critical Sobolev and Hardy-Sobolev exponents respectively. The fractional p-laplacian (-∆p)su with s ∈ (0, 1) is the nonlinear nonlocal operator defined on smooth functions by $\displaystyle(-{\Delta}_p)^su(x)=2{\lim_{{\epsilon}{\searrow}0}}\int{_{{\mathbb{R}}^N{\backslash}{B_{\epsilon}}}}\;\frac{{\mid}u(x)-u(y){\mid}^{p-2}(u(x)-u(y))}{{\mid}x-y{\mid}^{N+ps}}dy$, x ∈ ℝN. The main goal of this work is to show how the usual variational methods and some analysis techniques can be extended to deal with nonlocal problems involving Sobolev and Hardy nonlinearities. We also prove that for some α ∈ (0, 1), the weak solution to the problem (P) is in C1,α(${\bar{\Omega}}$).

Studies on the Reaction of 2-Phenylethyl Arenesulfonates with Pyridine under High Pressure (2-Phenylethyl Arenesulfonates와 피리딘과의 고압반응에 관한 연구)

  • Yoh Soo Dong;Park, Jong Hwan
    • Journal of the Korean Chemical Society
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    • v.30 no.4
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    • pp.383-388
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    • 1986
  • Kinetics of the reaction of 2-phenylethylarenesulfonates with pyridine in acetonitrile were investigated by an electric conductivity method under 1 to 2,000 bars and at 40∼60${\circ}C$. The rates of these reactions were increased with raising temperatures and pressures, but less than those of the reactions of benzyl benzenesulfonate with pyridine in acetoneitrile were investigated by an electric conductivity method under 1 to 2,000 bars and at 40~60${\circ}C$ .The rates of these reactions were increased with raising temperatures and pressures, but less than those of the reaction of benzyl benzenesulfonate with pyridine in acetone. The activation volumes and activation entropies of 2-phenylethyl m-nosylate were more negatively large than those of benzyl benzenesulfonate. From these phenomena it can be deduced that 2-phenylethyl system has more firmly $S_N2$ character in tranistion state. The Hammett reaction constants are also estimated from the second-order reaction constants. With increasing pressures the reaction parameters $({\rho})$ were decreased, but the $S_N2$ characters were increased. From these results, the reaction mechanism can be adequately described as typical $S_N2$ process under high pressure.

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Container Image Recognition using ART2-based Self-Organizing Supervised Learning Algorithm (ART2 기반 자가 생성 지도 학습 알고리즘을 이용한 컨테이너 인식 시스템)

  • Jung, Byung-Hee;Kim, Jae-Yong;Cho, Jae-Hyun;Kim, Kwang-Baek
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • v.9 no.2
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    • pp.393-398
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    • 2005
  • 본 논문에서는 ART2 기반 자가 생성 지도 학습 알고리즘을 이용한 운송 컨테이너 식별자 인식 시스템을 제안한다. 일반적으로 운송 컨테이너의 식별자들은 글자의 색이 검정색 또는 흰색으로 이루어져 있는 특징이 있다. 이러한 특성을 고려하여 원 컨테이너 영상에 대해 검은색과 흰색을 제외한 모든 부분을 잡음으로 처리하기 위해 퍼지를 이용한 잡은 판단 방법을 적용하여 식별자 영역과 잡음을 구별한다. 식별자 영역을 제외한 잡음 영역을 전체 영상의 평균 픽셀값으로 대체시킨다. 그리고 Sobel 마스크를 이용하여 에지를 검출하고, 추출된 에지를 이용하여 수직 블록과 수평 블록을 검출하여 컨테이너의 식별자 영역을 추출하고 이진화한다. 이진화된 식별자 영역에 대해 검정색의 빈도수를 이용하여 흰바탕과 민바탕을 구분하고 8방향 윤곽선 추적 알고리즘을 적용하여 개별 식별자를 추출한다. 개별 식별자 인식을 위해 ART2 기반 자가 생성 지도 학습 알고리즘은 입력층과 은닉층 사이에 ART2를 적용하여 은닉층의 노드를 생성하고, 은닉층과 출력층 사이에 일반화된 델타 학습 방법과 Delta-bar-Delta 알고리즘을 적용하여 학습 성능을 개선한다. 실제 컨테이너 영상을 대상으로 실험한 결과, 기존의 식별자 추출 방법보다 제안된 식별자 추출 방법이 개선되었다. 그리고 기존의 식별자 인식 알고리즘보다 제안된 ART2 기반 자가 생성 지도 학습 알고리즘이 식별자의 학습 및 인식에 있어서 우수한 성능이 있음을 확인하였다.

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MULTIPLE SOLUTIONS TO DISCRETE BOUNDARY VALUE PROBLEMS FOR THE p-LAPLACIAN WITH POTENTIAL TERMS ON FINITE GRAPHS

  • CHUNG, SOON-YEONG;PARK, JEA-HYUN
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1517-1533
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    • 2015
  • In this paper, we prove the existence of at least three nontrivial solutions to nonlinear discrete boundary value problems $$\{^{-{\Delta}_{p,{\omega}}u(x)+V(x){\mid}u(x){\mid}^{q-2}u(x)=f(x,u(x)),x{\in}S,}_{u(x)=0,\;x{\in}{\partial}S}$$, involving the discrete p-Laplacian on simple, nite and connected graphs $\bar{S}(S{\cup}{\partial}S,E)$ with weight ${\omega}$, where 1 < q < p < ${\infty}$. The approach is based on a suitable combine of variational and truncations methods.

Effect of Louvered Positions on Air-Side Heat Transfer in Louvered Fin Heat Exchangers (루우버 위치(位置)가 루우버핀 열교환기(熱交換器)의 공기측열전달(空氣側熱傳達)에 미치는 영향(影響))

  • Kim, S.J.;Chung, T.H.;Kwon, S.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.2 no.2
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    • pp.99-104
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    • 1990
  • A Study has been conducted experimentally on heat transfer characteristics of louvered fin heat exchangers with various louvered positions in air. The experimental results are as follows; 1. Mean heat transfer coefficient is increased with increasing air velocity and decreasing temperature difference. The maximum value of heat transfer coefficient shows at 10㎜ backward louvered fins. 2. Pressure drop is increased with increasing air velocity and apparently depended on the louvered positions at V>10m/sec. 3. $\bar{h}/{\Delta}P$ is decreased with increasing air velocity and its maximum value shows at 10mm forward louvered fins and its minimum value shows at plate fins.

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A study on the surface pre-treatment of the porous metal support for the hydrogen separation membrane. (수소 분리막용 다공성 금속 지지체의 표면처리에 관한 연구)

  • Lee, Jun-Hyeong;Kim, Gyeong-Min;Jo, Seong-Tae;Kim, Dong-Won
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2014.11a
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    • pp.156-157
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    • 2014
  • 수소 분리막은 수소 분리층과 지지체로 구분되며, 수소 분리막의 수소 투과 및 선택도는 지지체의 표면조도, 평탄도 및 거대기공 크기에 크게 의존한다. 본 연구에서는 표면연마 및 $ZrO_2$ 파우더 매립을 사용한 표면처리 공정을 통해 다 공성 스테인레스 강 지지체의 표면조도 및 평탄도와 거대기공을 제어함으로써 균일하고 치밀한 분리층을 형성 할 수 있었으며, 상용화 공정($350^{\circ}C{\sim}500^{\circ}C$, 1bar(${\Delta}P$))에서 무한대의 수소 선택도와 $17.5ml/min{\cdot}cm^2{\cdot}atm$의 수소 투과도를 얻을 수 있었다.

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Effect of Fin Spacings on Air-side Heat Transfer in Louvered Fin Heat Exchangers (핀 간격(間隔)이 루우버핀 열교환기(熱交換器)의 공기측(空氣側) 열전달(熱傳達)에 미치는 영향(影響))

  • Kim, S.J.;Chung, T.H.;Kwon, S.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.2 no.4
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    • pp.288-294
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    • 1990
  • A study has been conducted experimentally on heat transfer characteristics of louvered fin heat exchangers with various fin spacings in air. The experimental results are as follows; 1. Mean heat transfer coefficient is increased with increasing air velocity and the optimum fin spacing shows at S=5mm. 2. Pressure drop is increased with increasing air velocity and its maximum value shows at S=3.5mm and its minimum value shows at S=6mm. 3. $\bar{h}/{\Delta}P$ is decreased with increasing air velocity and its maximum value shows at S=5mm and its minimum value shows at S=3.5mm.

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