• 제목/요약/키워드: Minimum Variance

검색결과 467건 처리시간 0.025초

단순화 이선원 모델을 이용한 전자선 선량율 계산 알고리듬에 관한 예비적 연구 (A Feasibility study on the Simplified Two Source Model for Relative Electron Output Factor of Irregular Block Shape)

  • 고영은;이병용;조병철;안승도;김종훈;이상욱;최은경
    • 한국의학물리학회지:의학물리
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    • 제13권1호
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    • pp.21-26
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    • 2002
  • 블록을 사용한 부정형 전자선 조사면에서의 선량율(relative output factor, ROF)을 계산하는 전자선 알고리듬을 개발하고, 측정값과 계산값을 비교하여 알고리듬을 평가하였다. 전자선의 선량은 산란판, 전자선 cone 등 모든 요소를 고려한 1차선 부분과 블럭에 의한 2차선의 합으로 표시할 수 있다고 가정하였으며, 1차선은 가우스 분포를, 2차선은 거리역제곱 법칙만을 따른다고 가정하였다. 2차선 블럭 산란에 의한 각 분포는 고려하지 않았다. 이런 방법으로 전자선의 ROF를 유효 SSD, 1차선 분포 표준편차, 2차선 발생율 등 3가지의 인자만을 이용하여 선량율을 계산할 수 있는 단순한 방식을 고안하였다. 6, 9, 12, 16, 20 MeV의 전자선을 사용하여 이 모델을 검증하였다. 측정은 항상 개방 조사면의 선량 최대지점 깊이에서 실시하였으며 다양한 정사각형 치료면 측정으로 3개의 인자를 구할 수 있었다 직사각형 조사면과 부정형 조사면에 대하여 이 모델을 이용한 계산값과 측정값의 차이는 평균 1.0%이내였으며, 최대 2.1%를 넘지 않았다. 본 연구에서 개발한 알고리듬은 필요한 인자가 3개이면서 매 전자선 콘마다 5∼6회 측정으로 구할 수 있어서 임상 적용에 편리하며, 계산 결과가 정확하여 특이 오차를 보이는 유형에 관한 보완 연구를 수행하면 임상에 사용할 수 있음을 보였다.

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피치변경을 이용한 화자인식 시스템 (The Speaker Recognition System using the Pitch Alteration)

  • 정종순;배명진
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 2002년도 하계학술발표대회 논문집 제21권 1호
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    • pp.115-118
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    • 2002
  • 화자인식에 사용하는 파라미터는 화자의 특징을 충분히 표현함과 더불어 발성 시마다 변동이 작은 것이 바람직하다. 즉, 파라미터의 화자내의 변이보다 화자간의 변이가 큰 특성을 가져야 화자간의 구분이 용이하다. 또한, 화자간 오류를 최소화하기 위해 화자간 구별이 뚜렷한 특징 파라미터뿐만 아니라 분별력이 뛰어난 인식방법도 필요하다. 최근의 실험결과들을 살펴보면 발성기관에 의한 정적인 특징뿐 아니라, 발성습관에 의한 동적인 특징을 같이 이용함으로써 보다 정확한 인식결과를 얻고 있다. 따라서 본 논문에서는 이러한 문제점을 해결하기 위해 다음과 같이 제안한다. 음성의 특징벡터로 운율정보 사용을 제안한다 현재 화자인식 시스템에서 일반적으로 많이 사용되고 있는 특징벡터는 스펙트럼 정보를 모델링하고 있는 것으로 비잡음 환경에서 종은 성능을 보이고 있다. 그러나 잡음 환경변화에 크게 왜곡되며 인식율이 현저하게 저하되는 문제점이 나타난다. 그러므로 본 논문에서는 음성의 동적 변화를 측정할 수 있는 세그먼트로 분할한 피치열을 변경하여 인식의 특징패턴으로 사용한다. 이는 문장의 운율정보를 보여주는 것으로 소음환경에서 강인한 특성을 보였다.

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불일치된 최적 라플라스 양자기의 신호대잡음비 점근식의 유도 (Derivation of Asymptotic Formulas for the Signal-to-Noise Ratio of Mismatched Optimal Laplacian Quantizers)

  • 나상신
    • 한국통신학회논문지
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    • 제33권5C호
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    • pp.413-421
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    • 2008
  • 이 논문은 최소 평균제곱오차 라플라스 양자기가 평균이나 표준편차가 불일치된 신호에 적용될 때 야기되는 평균제곱오차 왜곡과 신호대 양자화 잡음비의 점근식을 유도한다. 이들 식은 양자점의 개수 N, 평균값의 변이량 $\mu$, 양자기 설계 기준으로 사용된 표준편차에 대해 적용되는 신호의 표준편차 비율 $\rho$로써 왜곡과 신호대잡음비의 직접적인 관계를 명확히 표시하고 있다. 수치 결과에 의하면, 논문의 주 근사식은, 요율 R=$log_2N$이 6 이상인 경우에, 상당히 넓은 $\mu$$\rho$에 대해 신호대잡음비 참값의 1% 이내의 값을 예측하여 정확도가 아주 높은 것으로 판단된다. 이 논문을 통해 새로 발견된 점은 첫째 ${\rho}>3/2$인 분산 강불일치의 경우에 신호대잡음비는 $9/\rho$ dB/bit 비율로 증가한다는 것과 둘째 최적 균일양자기는, 비록 최적으로 설계되었지만, 분산 임계불일치보다 조금 더 불일치된 것임을 밝힌 점이다. 또 $\mu$에 의한 신호대잡음비 손실은 비교적 크지 않은 것이 관찰되었다. 여기에 유도된 공식들은, 단구간 분산이 변하는 라플라스 분포로 잘 모형되는 음성이나 음악 신호를 하나의 양자기로 양자화하는 경우에 쓰임새가 있을 것으로 사료된다.

클러스터링 알고리즘의 후처리 방안과 분할된 영역들의 분류에 대한 연구 (A Study of Post-processing Methods of Clustering Algorithm and Classification of the Segmented Regions)

  • 오준택;김보람;김욱현
    • 정보처리학회논문지B
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    • 제16B권1호
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    • pp.7-16
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    • 2009
  • 클러스터링 알고리즘은 영역들간의 공간정보를 고려하지 않고 사전에 정의된 수만큼의 군집들로 분할하기 때문에 영상의 과분할을 유발하며, 이에 실제적인 응용분야에 적용하기에는 어려움이 존재한다. 본 논문에서는 클러스터링 알고리즘에 의해 획득한 군집들을 대상으로 보다 나은 분할결과를 획득하기 위한 후처리 방안으로, 비동질적인 군집의 재분류와 베이시안 알고리즘에 의한 유사영역의 합병알고리즘을 제안한다. 먼저, 클러스터링 알고리즘에 의해 분할된 영상의 군집들에 대해서 가장 비동질적인 군집을 선택하여 이를 나머지 군집들 중 하나로 재분류하며, 최소평균내부거리값에 의해 결정된 군집수만큼 반복적으로 수행된다. 그리고 여전히 존재하는 유사한 인접영역들을 제거하기 위해서 영역간의 Kullbeck-Leibler 거리값을 기반으로 베이시안 알고리즘을 이용한 영역 합병을 수행한다. 마지막으로, 제안한 방법의 유효함을 검증하기 위한 목적으로, 분할된 영역들의 우세컬러와 텍스처 정보를 기반으로 하는 SVM(support vector machine) 기반 영역분류시스템을 설계한다. 실험결과, 제안한 방법은 다양한 실험영상들에 대해서 단계별 더 나은 성능을 보였으며, 분할된 영역들의 분류에서도 효과적인 결과를 보여 제안방법의 유효함을 확인하였다.

바난 정(세프포독심 프록세틸 100mg)에 대한 포독스 정의 생물학적 동등성 (Bioequivalence of Podox Tablet to Banan Tablet (Cefpodoxime Proxetil 100 mg))

  • 조성완;이지혜;송일용;이상길;차영주;최영욱
    • Journal of Pharmaceutical Investigation
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    • 제29권3호
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    • pp.241-245
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    • 1999
  • Bioequivalence study of two cefpodoxime preparations, the test drug ($Banan^{\circledR}$: Hanil Pharmaceutical Co., Ltd.) and the reference drug ($Podox^{\circledR}$: Chong Kun Dang Pharmaceutical Co., Ltd.), was conducted according to the guidelines of Korea Food and Drug Administration (KFDA). Sixteen healthy male volunteers, $23.8{\pm}2.13$ years old and $63.34{\pm}4.84kg$ of body weight in average, were divided randomly into two groups and administered the drug orally at the dose of 200 mg as cefpodoxime proxetil in a $2{\times}2$ crossover study. Plasma concentrations of cefpodoxime were analysed by HPLC method for 12 hr after administration. The $AUC_{0-12hr}$ was calculated by the linear trapezoidal rule method. The $C_{max}$, and $T_{max}$ were compiled directly from the plasma drug concentration-time data. Student's t-test indicated no significant differences between the formulations in these parameters. Analysis of variance (ANOVA) revealed that there were no differences in AUC, $C_{max}$, and $T_{max}$ between the formulations. The apparent differences between the formulations were far less than 20% (e.g., 4.31, 1.99 and 4.30% for AUC, $C_{max}$, and $T_{max}$, respectively). Minimum detectable differences (%) between the formulations at ${\alpha}=\;0.05$ and $1-{\beta}=\;0.8$ were less than 20% (e.g., 13.89, 13.88, and 16.97% for AUC, $C_{max}$, and $T_{max}$, respectively). The 90% confidence intervals for these parameters were also within ${\times}20%$ (e.g., $-5,58{\sim}14.20$, $-7.89{\sim}11.88$, and $-7.78{\sim}16.38%$ for AUC, $C_{max}$, and $T_{max}$, respectively). These results satisfied the bioequivalence criteria of KFDA guidelines, indicating that the two formulations of cefpodoxime were bioequivalent.

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치과위생처치와 관련된 두려움, 불안 및 관련요인 -일부 치위생처치 환자를 대상으로- (Dental Hygiene Treatment Fear, Anxiety and Related Factors in Dental Patients)

  • 조명숙
    • 한국치위생학회지
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    • 제6권4호
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    • pp.419-436
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    • 2006
  • PURPOSE: The purpose of this study was to explore dental hygiene treatment fear and anxiety in dental patients. METHODS: The sample consisted of 466 dental patients who had received the dental hygiene treatment at 8 Dental Hospitals and Clinics in Daegu city between March and August 2006 studied. Dental hygienists recruited a questionnaire, which includes generalized anxiety sub-scale(4 items), specific fear sub-scale(5 items), distrust sub-scale(5 items), and catastrophic anxiety sub-scale(4 items). Minimum score is 1, and maximum score is 5. The research was designed to be a cross-sectional measured study. SAS statistical software was used for the analysis. The characteristics of the study sample were described by mean and standard deviation(SD) for continuous variables and by frequency and percentage for categorical variables. The Student's t-test and analysis of variance(ANOVA) were used to compare fear and anxiety score in demographic variables. A Pearson's correlation analysis was conducted for relationship among values of fear and anxiety for dental hygiene. Multiple regression analysis was performed to determine the factors associated with fear and anxiety related with dental hygiene. RESULTS: A total of 466 dental patients were analyzed, their average age${\pm}$SD was $37.7{\pm}12.9$ years(range: 15-79 yr). The mean value for dental hygiene fear and anxiety was 2.70(generalized anxiety 2.65, specific fear 2.93, distrust anxiety 2.72, and catastrophic anxiety 2.42, respectively). There was a statistically significant difference in gender(p<0.05), 2.81 for women was higher than 2.55 for men(p=.0000). The older we are, the higher fear and anxiety for dental hygiene treatment were. that is, under age of 20 years 2.49, 20 years 2.59, 30 years 2.69, 40 years 2.77, 50 years 2.88, 60 years 2.69, and over age of 70 2.45, respectively(p=.0321). Factors related to dental hygiene treatment fear and anxiety by multiple regressions were gender(${\square}$=0.18, p=0.0001), age(${\square}$=.07, p=.0058), and the time when visits dentist recently(${\square}$=.07, p=.0058). CONCLUSIONS: In conclusion, gender, age and the time when visits dentist recently were significantly associated with dental hygiene treatment fear and anxiety. We recommend that further research should investigate a dental hygiene treatment fear and anxiety by using more follow-up study.

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PNU CGCM-WRF Chain을 이용한 우리나라 콩의 고온해 및 저온해에 대한 예측성 검증 (Evaluating the Predictability of Heat and Cold Damages of Soybean in South Korea using PNU CGCM -WRF Chain)

  • 최명주;안중배;김영현;정민경;심교문;허지나;조세라
    • 한국농림기상학회지
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    • 제24권4호
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    • pp.218-233
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    • 2022
  • 본 연구에서는 Pusan National University Coupled General Circulation Model-Weather Research and Forecasting (PNU CGCM-WRF)에서 생산된 hindcast 자료(1986~2020)를 이용하여 우리나라의 주요 곡물 중 하나인 콩의 생육단계별 고온해 및 저온해 발생일수의 예측성을 평가하였다. 예측성을 평가하는 방법으로는 Normalized Standard Deviations (NSD), Root Mean Square Error (RMSE), Hit Rate (HR), Heidke Skill Score (HSS)이다. 이를 위해 먼저 콩의 고온해 및 저온해를 정의하는 변수인 일 최고기온(Tmax) 및 일 최저기온(Tmin)의 모의성능을 검증하였다. 그 결과 1~5월(01RUN~05RUN)의 초기조건을 가지고 시작하는 월에 따라 다소 차이가 있지만, Variance Scaling 방법을 적용하여 보정한 결과가 보정전보다 관측과 유사하게 나타났으며, 보정한 3~10월의 Tmax 및 Tmin에 대한 모의성능은 전반적으로 01RUN~05RUN에 Simple Composite Method (SCM)을 적용하여 평균한 결과(ENS)에서 높게 나타났다. 또한, 콩의 생육시기별 고온해 및 저온해 발생일수의 지역적 패턴과 특성을 관측과 비교하였을 때 모형이 잘 모의하고 있다. ENS에서 콩의 고온해(저온해)에 대한 HR과 HSS는 생육시기 별로 0.45~0.75, 0.02~0.10(0.49~0.76, -0.04~0.11)의 범위를 가진다. 결론적으로, PNU CGCM-WRF chain의 01RUN~05RUN 및 ENS는 우리나라 콩의 생육시기별 고온해 및 저온해를 예측할 수 있는 성능을 가지고 있다.

남서해역에서 양식되는 방사무늬김(Porphyra yezoensis Ueda)의 Diving-PAM에 의한 광합성 특성 (Photosynthetic Characteristics of Porphyra yezoensis Ueda Measured in situ by Diving Pulse-Amplitude Modulated (PAM) Fluorometry on the Southwestern Coast of the Korean Peninsula)

  • 김정배;이원찬;김형철;최희구;박정임;조윤식;박환희
    • 환경생물
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    • 제30권3호
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    • pp.210-218
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    • 2012
  • 일반적으로 많이 양식되는 방사무늬김(Porphyra yezoensis Ueda)에 대하여 방사무늬김 엽체의 형태적 특성, 탄소 및 질소 성분의 농도, 안정동위원소 비값, 광합성 효율을 방사무늬김 양식이 이루어 지고 있는 남서해역에서 조사를 하였다. 방사무늬김의 형태적 특성에 대해서 살펴보면 평균 엽장은 11.6~16.3 (13.8) cm, 평균 엽폭은 4.6~6.3 (5.4) cm이었고, 단위면적당 방사무늬김 엽체의 평균 엽중량은 $1.1{\sim}2.6(1.86)g\;DW\;m^{-2}$이었다. 단위면적당 Chl a 농도는 2.18~17.77 (평균 9.65) mg DW Chl a $m^{-2}$이었다. 방사무늬김의 탄소 농도는 $201{\sim}317(240)mg\;DW\;g^{-1}$이었고, 질소 농도는 $39.8{\sim}50.0(43.5)mg\;DW\;g^{-1}$이었으며, C/N비는 5.0~6.7 (5.5)이었다. 방사무늬김의 방사성 안정동위원소비 중에서 탄소 안정동위원소 비는 ${\delta}^{13}C$=-25.6‰ 에서 ${\delta}^{13}C$=-24.0‰ (평균 -24.7‰)의 값을 보였고, 질소 안정동위원소 비는 ${\delta}^{15}N$=1.3‰ 에서 ${\delta}^{15}N$=4.1‰ (평균 2.1‰)의 값을 보였다. PAM에 의한 해조류의 광합성 특성은 광합성 활동의 지시자로서 사용될 수 있다. 우리는 Diving-PAM을 이용하여 각 정점 해조류인 방사무늬김의 광합성율을 분석하였다. 최대양자수율은 0.46~0.55 (평균 0.52)로서 최대 양자수율의 변동은 정점간 큰 차이는 없었다. 최대상대전자전달률은 4.71~5.84 (평균 5.33) ${\mu}mol\;electrons\;m^{-2}\;s^{-1}$ 로서 최대양자수율과 비슷한 분포를 보였다. 기울기 (${\alpha}$)는 0.027~0.045 (평균 0.036)을 보였고, 전자전달을 위한 포화광은 지역에 따라서 일부 차이를 보였으나 $139{\sim}180(156){\mu}mol\;photons\;m^{-2}\;s^{-1}$이었다. 남서해역 방사무늬김 엽체의 탄소 및 질소 농도와 광합성 효율은 지역에 따른 큰 차이는 보이지 않았다. 광합성 특성은 낮은 최대양자수율과 최대 상대전자전달률로 인한 낮은 광합성 효율이 나타났다.

평행식 진동탄환 암거 천공기의 연구 (IV)(V)-실기 설계 제작 및 보장실험-Development of Balanced-Type Oscillating Mole Drainer(IV)(V)

  • 김용환;이승규;서상용
    • Journal of Biosystems Engineering
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    • 제2권1호
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    • pp.7-24
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    • 1977
  • This paper is the forth and fifth one of the study on balanced type oscillating mole drainer. In the light of the results from previous reports about the model tests, some design criteria were established and a prototype machine was set up for experimental purpose. Motion characteristics and functionof the each parts of the machine were checked and analyzed. After that, performance tests of the prototype machine were carried out in thefield. Obtained results are summarized as follows ; 1. Ten centimeter of the bullet diameter was determined so as to be able to attach it to the tractors with capacity of 30 PS to 40 PS. 2. To maintain the balance between the moments of the front shank and rear shank, the oscillating amplitude of the rear bullet was determined to be larger than that of the front bullet. At the same time , the oscillating direction of the rear bullet was designed with the inclines of ten to thirty degrees. 3. An octagonal dynamo transduced was developed for measuring the compressive force of the upper link is measuring the draft force of the machine. Acceptable linear relationship between forces and strain responses from O.D.T. was obtained. 4. Analysing the balancing mechanism of the acting part of the machine , it was found that the total draft force of the machine was equal to the difference between the sum of the draft force produced from the right and left side bending moments of the lower drawber and the compressive force on the upper link. 5. There are acceptable linear relationship between the strain and twisting moment by driving shaft, and between strain and shank moment. Above results enable us to carry out the field experiment with prototype machine. 6. When the test machine was used in the field, it was possible to reduce the oscillating acceleration by forty percent in average as compared it with the single bullet mole drainer. 7. When the test machine was used under the oscillating condition, the dratt torce was reduced by 27 percent to 59 percent as compared it with the test machine under non-oscillating condition, while the draft force was increased by 7 percent to 20 percent as compared it with the mole drainer having oscillating single bullet. The reasoning behind this fact was considered as the resistance force due to the rear shank and bullet. 8. As the amplitude and frequency of the bullet were increased, the torque was increased accordingly. This tendency could be varied with the various characteristics of the given soils. And the larger frequency and amplitute, the more increasing oscil\ulcornerlating power but decreasing draft brce were needed, and draft force was increased as the velocity was increased.9. When the amplitude of the rear bullet was designed to be larger than that of the front bullet, the minimum value of the moment was lowered and oscillating acceleration was reduced. And when the oscillating direction of the rear bullet was declined back\ulcornerwards, oscillating acceleration was increased along with the increasing angle of decli\ulcornernation. When the test machine was operated in high speed, the difference between maximum moments and minimum ones became narrow. This varying magnitude of moments appeared on the moment oscillogram seems to be correlated to the oscillating acceleration and draft force. 10. From the analysis of variance, it was found that those factors such as frequency, amplitude, and operating velocity significantly affected in the oscillating acceleration, the draft resistance, the torque, the moment, and the total power required. And interaction between frequency and amplitude affected in the oscillating acceleration. 11. Within the given situation of this study, the most preferable operating conditions of the test machine were 7 Hz in oscillating frequency, 0.54 m/sec in operating velocity, and 39.1 mm in oscillating amplitude of front and rear bullets. However, it is necessary to select the proper frequency and magnitude of oscillation depending on the soil properties of the field in which the mole drainer is practiced by use of a bal1nced type oscillating mole drainer. 12. It is recommended that a comparative study of the mole drainers would be performed in the near future using two separate balanced oscillating bullet with the one which is operated by oscillating the movable bullet in a single cylinder or other balanced type which may be single oscillating bullet with spring, damper or balancing weight, and that of thing. To expand the applicability of the balanced type oscillating mole drainer in practical use, it is suggested to develop a new mechanism which perform mole drain with vinyl pipe or filling material such as rice hull.

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面疱 患者에 對한 臨床的 硏究 (The clinical study of acne patients)

  • 채병윤
    • 한방안이비인후피부과학회지
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    • 제11권1호
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    • pp.251-268
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    • 1998
  • 125 Cases of Acne were treated by Acupuncture and Herb-med treatment during a three months duration from April 1996 to February 1998 in Kyung Hee Univ. Department of Ophthal, Otolaryngology. College of Oriental Medicine. We have observed the cases and the results as follows: 1. The age of average was 24.55 age : 21.91 in males, 24.55 in females. and in these, the gulf between males and females were showed statically significant diference. In the age of onset, averag was 16.96 age and mode was 18 age and male's average was 16.96 age, minimun was 11 age, maximum 40 age and female's average was 20.14 age, minimun was 10 age, maximum 40 age. and these were showed statically significant diference between males and females. 2. In the distribution of season, winter was the most with $37.8\%$ of out patients, the rest was similar to difference of each other. but there was clear difference between males and females. 3. In the duration of history, the average was 5.10 years and male's average was 5.13 years. on the other hand female's was 5.09 years but there is no any significant difference have a resemblance with each other. 4. In blood type, O type was the most with $35.20\%$ and there was in the order of A type was $26.40\%\;B\;type\;was\;23.20\%,\;AB\;type\;was\;15.20\%$ but these were not significant difference by the chi-tend and analysis of variance with total cases, males and females. 5. In select of the preference food, patients of the prefer worm food was $42.40\%\;and\;cool\;food\;was\;38.40\%,\;tepid\;food\;was\;24\%$ but these were no significant difference by the chi-test and ANOVA of each other. 6. the state of pulse classified into 11 type and average was 7.2 times, maximum was 29 times with Hyun Sae, at the same time, the female's average was 6.73 times, maximum was 27 times and male's average was 1.5 times. The result of test with each other, these were showed statically significant difference as compared total cases with males but there were not females ones. 7. In the frequency of the major cause, oversensitiveness was the most with $34.93\%$. secondly there was in order of indigestion $30.82\%$ and menstrual irregularity and menstruation pain $23.28\%$. constipation $10.96\%$ and these showed statically significant difference as compared the females with males on the result of test for difference with each other. 8. In frequency of the symptoms, itching was the most with $31.97\%$ and there was in order of nodule $20.49\%$, pustule $18.85\%,\;papule\;15.58\%,\;flare\;13.12\%$ and also these showed statically significant difference as compared the females with males 9. for the Distribution of acne region, face was the most with $64.06\%$ and there was in order of back $14.29\%,\;upper-chest\;11.69\%,\;neck\;7.79\%$ and there was no significant difference as compared total cases with males and females. 10. Acne applied 30 prescription to 4 weeks and over and 20 weeks and over was $23.3\%$, 30 weeks and over was $16.67\%$ and average of administration duration were 4.2 weeks(male's average 5.78, maximum 96 weeks and female's average 3.85, maximum 23 weeks) maximum was 96 weeks, minimum was 1 week. 11. In the acupuncture treatment, $96.6\%$ applied to acupuncture and average was 5.44 times, maximum 46 times, minimum 1 time(male's average 4.64, female's 5.62) but these were not any significant differeence. 12. for the medication, author made a investigation and comparison between control group with treated group in order to observe for the therapeutic effect during the 1 month and 2, 3. From these results, we can see that acne was improved by the oriental treatment. in the 1 month, average of control group was 13.24 and treated group was 11.78. these showed statically significant decrease in P<0.02 as compared the treated group with control group. In the 2 months, average of control group was 13.43 and treated group was 9.03. these showed statically significant decrease in P<0.003 as compared the treated group with control group. In the 3 months, average of control group was 13.78 and treated group was 8.06. these showed statically significant decrease in P<0.008 as compared the treated group with control group.

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