• Title/Summary/Keyword: mathematical treatment

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Typhoon Simulation with a Parameterized Sea Surface Cooling (모수화된 해면 냉각을 활용한 태풍 모의 실험)

  • Lee, Duho;Kwon, H. Joe;Won, Seong-Hee;Park, Seon Ki
    • Atmosphere
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    • v.16 no.2
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    • pp.97-110
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    • 2006
  • This study investigates the response of a typhoon model to the change of the sea surface temperature (SST) throughout the model integration. The SST change is parameterized as a formulae of which the magnitude is given as a function of not only the intensity and the size but the moving speed of tropical cyclone. The formulae is constructed by referring to many previous observational and numerical studies on the SST cooling with the passage of tropical cyclones. Since the parameterized cooling formulae is based on the mathematical expression, the resemblance between the prescribed SST cooling and the observed one during the period of the numerical experiment is not complete nor satisfactory. The agreements between the prescribed and the observed SST even over the swath of the typhoon passage differ from case to case. Numerical experiments are undertaken with and without prescribing the SST cooling. The results with the SST cooling do not show clear evidence in improving the track prediction compared to those of the without-experiments. SST cooling in the model shows its swath along the incomplete simulated track so that the magnitude and the distribution of the sea surface cooling does not resemble completely with the observed one. However, we have observed a little improvement in the intensity prediction in terms of the central pressure of the tropical cyclone in some cases. In case where the model without the SST treatment is not able to yield a correct prediction of the filling of the tropical cyclone especially in the decaying stage, the pulling effect given by the SST cooling alleviates the over-deepening of the model so that the central pressure approaches toward the observed value. However, the opposite case when the SST treatment makes the prediction worse may also be possible. In general when the sea surface temperature is reduced, the amount of the sensible and the latent heat from the ocean surface become also reduced, which results in the weakening of the storms comparing to the constant SST case. It turns out to be the case also in our experiments. The weakening is realized in the central pressure, maximum wind, horizontal temperature gradient, etc.

Dose Evaluation of Childhood Leukemia in Total Body Irradiation (소아백혈병의 전신방사선조사시 선량평가)

  • Lee, Dongyeon;Ko, Seongjin;Kang, Sesik;Kim, Changsoo;Kim, Donghyun;Kim, Junghoon
    • Journal of the Korean Society of Radiology
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    • v.7 no.4
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    • pp.259-264
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    • 2013
  • Total body irradiation in the treatment of childhood leukemia, which is one of the pre-treatment with stem cell transplantation is being used, the current organization using compensators are treated. However, under the terms of the compensator organization long-term impact on the human body, it is difficult to assess directly. In this study, we use the mathematical simulation of radiation exposures body energy and the distance to the crew and the patient (source surface distance, SSD), and patients with tissue compensators change of the distance along the body of the organ doses were evaluated. As a result, the surface dose of energy 4 MV, SSD 280 cm, tissue compensators and the patient when the distance 30 cm 5.84 G / min showed the highest levels. In addition, patients with tissue compensators and the distance apart when 30 cm TBI represents the ideal dose distribution was found.

Depth Dose Distribution of Proton Beams by Variation of Tumor Density using Geant4 (Geant4 전산모사를 이용한 종양의 밀도 변화에 따른 양성자의 선량 분포)

  • Kim, You-Me;Chon, Kwon-Su
    • Journal of the Korean Society of Radiology
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    • v.15 no.6
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    • pp.771-779
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    • 2021
  • It is necessary to overlap several peaks to form spread out Bragg peak (SOBP) in order to cover the tumor volume because a mono-energetic proton beam forms a narrow Bragg peak. The tumor density has been considered as a brain tissue and then the absorbed dose of the tumor is calculated using Monte Carlo simulations. However, densities of tumors were not a constant. In this study, the SOBP of proton beams was calculated according to changing density of tumors by using Geant4. Tumors were selected as 10 mm and 20 mm width which were the treatment range in the brain phantom. The energies and relative weights of the proton beams were calculated using mathematical formula to form the SOBP suitable for the location and size of the tumor. As the density of the tumor was increased, the 95% modulation range and the practical range were decreased, and average absorbed dose in the 95% modulation range was increased. The change of the tumor density affects the dose distribution of the proton beams, which results in short SOBP within the tumor volume. The consideration of the tumor density affects the determination of the range, so that the margin of the treatment volume can be minimized, and the advantages of proton therapy can be maximized.

The study of the relation between the medicine of Taoism and oriental medicine (도교의학(道敎醫學)에 관한 연구(硏究) (한의학(韓醫學)과 연관(聯關)된 부분(部分)을 중심(中心)으로))

  • Lee, Byung Sou;Yun, Chang Yul
    • Journal of Korean Medical classics
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    • v.6
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    • pp.252-305
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    • 1993
  • I have studied the relation between a Taoist(道家) and the oriental medicine(韓醫學), it is summerized as following. 1. According to the relation between a Taoist(道家) and the oriental medicine, Lao-tzu(老子)' mathematical principle that had an influence on Three yin-three yang(三陰三陽) theory of the oriental medicine, idea of natural philosopy(自然無爲) and the freedom from avarace(無慾) on the oriental medicine. 2. Vital essence and energy theory(精氣設) in a Taoist not only can be seen in Lao-tzu' Do dug gyung(老子道德經), Maengza(孟子), Guanza(管子), but also its principle has something to do with Nei Ching's Vital essence and energy theory(精氣設). 3. Danjungpa(丹鼎派) can be divided into Naedansul(內丹術) which preserves through the breath and Oedansul(外丹術) which makes one a Taoist hermit. If he takes magic portions(金丹), they had a great effect on Yangsanghak(養生學) and was actually concerned with oriental doctors who was known to us. 4. If medicine of Taoism is classified, it can be divided into three categories. Boiled solution(渴液), Pharmacopea "Ben cao"(本草), Acupuncture & moxibustion(針灸), Magic portions(外丹) are used in the first category. Chinese setting-up and Therapeutic exercises(導引), Josik(調息), Naedan(內丹), Byugok(辟榖), Naeshi(內視), Banjung(房中) belong to second category. The religious contents such as Bu(符), Jeum(占), Cheum(籤), Ju(呪), Je(齊), Gido(祈禱), taboo are implied in third category. 5. In the history of the medicine of Taoism and oriental medicine, they are called animism, shamanism, Mu(巫) or Ye(毉), not separated at first period. In the end of junguk(戰國時代), Ye(醫) was clearly distinguished from Mu(巫) and then Mu(巫) was developed into medicine of Taoism and ye(毉) into the present form of oriental medicine. 6. The oriental medicine doctors that are concerned with Taoism are Bakgo(伯高), Geyugu(鬼臾區), Soyu(少兪), Noigong(雷公), Pyujak(篇鵲), Sunuyi(淳于意), Hwata(華陀), Hwangbomil(皇甫謐), Hangang(韓康), Dongbong(童奉), Heuson(許遜), Galhong(葛洪), Dohongyung(陶弘景), Damlan(曇鸞), uyjajang(葦慈藏), Sonsanak(孫思邈), Wanguing(王氷), Jegonghwalbul(濟公活佛), Yuwanso(劉完素), Judonge(朱丹溪), Leesijin(李時珍), Johakmin(趙學敏), Ougu1(吳杰) etc. 7. The view of a human body in the medicine of Taoism affected the oriental medicine on the ground that man was regarded as a microcosm(小宇宙), so he was compared to a nation or heaven and earth. 8. The anatomy of medicine of Taoism gave a detail description of five visceras and each organs, the heart, center of mental function, Mirie(尾閭) which has an relationship to the training of Naedan(內丹修練). In this resrect, as it is accord with the acupunture point of oriental medicine, therefore we can find that Taoism influenced oriental medicine, also explicit study was achieved. 9. Acient people believed that the goo in the human lxxIy, one of the characteristics of the medicine of Taoism cured the patients and then protected him from the disease. If a man was taken ill, they had him cured by making the god's name which corresponded to its disease, calling him communicating with him, and asking him to deprive him of illness. This treatment was used to live and be kept young eternally. In this respects, we can see that they emphasized on the attitude of Bulchiyibeung chimibeung(不治己病治末病) and psychological treatment. 10. Samsi thoery(三尸說) that one's fortune, disaster, health, and disease in the world are at the mercy of his good or bad conduct, is concerned with Taoism and treatment with the oriental medicine. 11. Guchung(九蟲) is more closly associated with the religious aspect rather than with the medical aspect. Because of the similarity of the mcdern parasitism, its study has an important meaning. 12. The respect for the human life is reflected in jeunsi(傳屍), with Samsi-guchung theory(三尸九蟲說), which is considered as mxIern tuberculosis.

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Investigations on data-driven stochastic optimal control and approximate-inference-based reinforcement learning methods (데이터 기반 확률론적 최적제어와 근사적 추론 기반 강화 학습 방법론에 관한 고찰)

  • Park, Jooyoung;Ji, Seunghyun;Sung, Keehoon;Heo, Seongman;Park, Kyungwook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.4
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    • pp.319-326
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    • 2015
  • Recently in the fields o f stochastic optimal control ( SOC) and reinforcemnet l earning (RL), there have been a great deal of research efforts for the problem of finding data-based sub-optimal control policies. The conventional theory for finding optimal controllers via the value-function-based dynamic programming was established for solving the stochastic optimal control problems with solid theoretical background. However, they can be successfully applied only to extremely simple cases. Hence, the data-based modern approach, which tries to find sub-optimal solutions utilizing relevant data such as the state-transition and reward signals instead of rigorous mathematical analyses, is particularly attractive to practical applications. In this paper, we consider a couple of methods combining the modern SOC strategies and approximate inference together with machine-learning-based data treatment methods. Also, we apply the resultant methods to a variety of application domains including financial engineering, and observe their performance.

Impacting Student Confidence : The effects of using virtual manipulatives and increasing fraction understanding. (수학에 대한 자신감 증진: 가상학습교구를 통한 분수 개념 이해의 결과)

  • ;Jenifer Suh;Patricia S. Moyer
    • Journal of Educational Research in Mathematics
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    • v.14 no.2
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    • pp.207-219
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    • 2004
  • There have been studies reporting the increase in student confidence in mathematics when using technology. However, past studies indicating a positive correlation between technology and confidence in mathematics do not explain why they see this positive outcome. With increased availability and easy access to the Internet in schools and the development of free online virtual manipulatives, this research was interested in how the use of virtual manipulatives in mathematics can affect students confidence in their mathematical abilities. Our hypothesis was that the classes using virtual manipulatives which allows students to connecting dynamic visual image with abstract symbols will help students gain a deeper conceptual understanding of math concept thus increasing their confidence and ability in mathematics. The participants in this study were 46 fifth-grade students in three ability groups: one high, one middle and one low. During a two-week unit on fractions, students in three groups interacted with several virtual manipulative applets in a computer lab. Data sources in the project included a pre and posttest of students mathematics content knowledge, Confidence in Learning Mathematics Scale, field notes and student interviews, and classroom videotapes. Our aim was to find evidence for increased level of confidence in mathematics as students strengthened their understanding of fraction concepts. Results from the achievement score indicated an overall main effect showing significant improvement for all ability groups following the treatment and an increase in the confidence level from the preassessment of the Confidence in Learning Mathematics Scale in the middle and high ability groups. An interesting finding was that the confidence level for the low ability group students who had the highest confidence level in the beginning did not change much in the final confidence scale assessment. In the middle and high ability groups, the confidence level did increase according to the improvement of the contest posttest. Through interviews, students expressed how the virtual manipulatives assisted their understanding by verifying their answers as they worked and facilitated their ability to figure out math concept in their mind and visually.

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PREDICTION OF PHYSICO-CHEMICAL AND TEXTURE CHARACTERISTICS OF BEEF BY NEAR INFRARED TRANSMITTANCE SPECTROSCOPY

  • Olivan, Mamen;Delaroza, Begona;Mocha, Mercedes;Martinez, Maria Jesus
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.1256-1256
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    • 2001
  • The physico-chemical and texture characteristics of meat determine the nutritional, technological and sensory quality. However, the analysis of meat quality requires expensive, laborious and time consuming analytical methods. The objective of this study was to evaluate NIR spectroscopy using transmittance for determining the moisture, fat, protein and total pigment content, the water holding capacity (WHC) and the toughness of beef meat. A total of 318 spectra were recorded from ground beef samples by a Feed Analyzer 1265 of Infratec. The samples were obtained from the Longissimus muscle of the 10$^{th}$ rib of yearling bulls, ground with an electrical chopper, vacuum packaged, aged during 7 days and frozen at -24$^{\circ}C$ until the analyses were done. Moisture content was measured by oven drying at 10$0^{\circ}C$, fat content was determined by Soxhlet extraction and protein content was estimated from nitrogen content using the Kjeldahl analysis. The total pigment content was determined by the method of Hornsey and the WHC using the method of filter paper press. The instrumental evaluation of texture (maximum load WB, maximum stress MS and toughness) was conducted in an Instron equipment with a Warner-Bratzler shearing device. This analysis was performed on a chop of 3.5 cm obtained from the longissimus of the 8$^{th}$ rib, aged during 7 days, kept frozen at -24$^{\circ}C$ and cooked before the analysis. Near infrared spectra were recorded as log 1/T (T=transmittance) at 2 nm intervals from 850 to 1050 nm using a Feed Analyzer 1265 of Infratec. Calibrations were performed with the WinISI software (vs. 1.02) using the MPLS method. To examine the effect of scatter correction o. derivation of spectra on the calibration performance, calibrations were calculated with the crude spectra or pretreated with different mathematical treatments (inverse MSC, SNVD) and/or second derivative operation. For chemical composition, the use of the scatter corrections improved the calibration statistics, in terms of lower SECV and higher $r^2$. In most of the variables, the use of the 2$^{nd}$ derivative improved the predictions, mainly when combined with the SNVD treatment. However, for predicting the texture traits, the best estimation was obtained from the crude spectrum. These results showed that the equations obtained for predicting moisture, fat and total pigments were very accurate, with $r^2$ being higher that 0.9. However, the prediction of the texture traits (WB, MS, toughness) from ground meat was poor.

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Utilization of Corynebacterium glutamicum Biomass as a Regenerable Biosorbent for Removal of Reactive Dyes from Aqueous Solution (반응성 염료 제거를 위한 재생 가능한 흡착제로서 Corynebacterium glutamicum 바이오매스의 이용)

  • Won, Sung -Wook;Choi, Sun Beom;Han, Min Hee;Yun, Yeoung-Sang
    • Korean Chemical Engineering Research
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    • v.43 no.4
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    • pp.542-547
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    • 2005
  • Biosorption is considered to be a promising alternative to replace or supplement the present methods for the treatment of dye-containing wastewater. In this study, the protonated biomass of Corynebacterium glutamicum was evaluated for its potential to remove two types of reactive dyes (Reactive Red 4, Reactive Blue 4) from aqueous solution. The uptakes of dyes were enhanced with decrease in the solution pH, which was likely because the biomass functional groups increased at acidic pH and the positively charged sites could bind the negatively charged sulfonate group ($dye-SO_3^-$) of dye molecules. An equilibrium state was practically achieved in 10 hr. The Langmuir sorption model was used for the mathematical description of the sorption equilibrium. The maximum sorption capacities of C. glutamicum biomass for Reactive Red 4 and Reactive Blue 4 were estimated to 112.36 mg/g and 263.16 mg/g at pH 1, and 71.94 mg/g and 155.88 mg/g at pH 3.

Simulation of the High Frequency Hyperthermia for Tumor Treatment (종양치료용 고주파 열치료 인체적용 시뮬레이션)

  • Lee, Kang-Yeon;Jung, Byung-Geun;Kim, Ji-won;Park, Jeong-Suk;Jeong, Byeong-Ho
    • Journal of the Korea Convergence Society
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    • v.9 no.3
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    • pp.257-263
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    • 2018
  • Hyperthermia supplies RF high-frequency energy above 1MHz to the tumor tissue through the electrodes. And the temperature of the tumor tissue is increased to $42^{\circ}C$ or more to cause thermal necrosis. A mathematical model can be derived a human body model for absorption and transmission of electromagnetic energy in the human model and It is possible to evaluate the distribution of temperature fields in biological tissues. In this paper, we build the human model based on the adult standard model of the geometric shape of the 3D model and use the FVM code. It is assumed that Joule heat is supplied to the anatomical model to simulate the magnetic field induced by the external electrode and the temperature distribution was analyzed for 0-1,200 seconds. As a result of the simulation, it was confirmed that the transferred energy progressively penetrates from the edge of the electrode to the pulmonary tumors and from the skin surface to the subcutaneous layer.

Development of Optimal Chlorination Model and Parameter Studies (최적 염소 소독 모형의 개발 및 파라미터 연구)

  • Kim, Joonhyun;Ahn, Sooyoung;Park, Minwoo
    • Journal of Environmental Impact Assessment
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    • v.29 no.6
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    • pp.403-413
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    • 2020
  • A mathematical model comprised with eight simultaneous quasi-linear partial differential equations was suggested to provide optimal chlorination strategy. Upstream weighted finite element method was employed to construct multidimensional numerical code. The code was verified against measured concentrations in three type of reactors. Boundary conditions and reaction rate were calibrated for the sixteen cases of experimental results to regenerate the measured values. Eight reaction rate coefficients were estimated from the modeling result. The reaction rate coefficients were expressed in terms of pH and temperature. Automatic optimal algorithm was invented to estimate the reaction rate coefficients by minimizing the sum of squares of the numerical errors and combined with the model. In order to minimize the concentration of chlorine and pollutants at the final usage sites, a real-time predictive control system is imperative which can predict the water quality variables from the chlorine disinfection process at the water purification plant to the customer by means of a model and operate the disinfection process according to the influent water quality. This model can be used to build such a system in water treatment plants.