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An Analysis Study on Mathematics Learning Characteristics of Out-of-School Youth through STEAM Education with Mathematics and Music (수학과 음악의 융합인재교육으로 변화된 학교 밖 청소년의 수학학습 특성 분석)

  • Kim, Youngin;Suh, Boeuk
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.313-334
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    • 2022
  • The purpose of this study is to analyze the changes in mathematical learning through applying STEAM education according to social needs for out-of-school youth. For this purpose, we developed a teaching and learning model and program for mathematics and music STEAM education, and we implemented and analyzed the changes of affective area and problem-solving strategies. The analysis results of characteristic in affective area are as follows: first, the activity-oriented class of mathematics and music STEAM education aroused interest in mathematics. Second, providing opportunities for mathematics and music STEAM education instilled a positive perception of the value of mathematics and STEAM education. Third, the autonomous communication-oriented learning environment of mathematics and music STEAM education improved confidence and motivation to learn in mathematics. The analysis results of the characteristic in problem-solving strategy are as follows: first, through the STEAM education with mathematics and music, a conceptual understanding of internally and externally dividing points was formed, and a given problem was expressed and solved in a formula. Second, the functional correspondence relationship was understood, and the given problem was described and solved with symbols associated with the function. The suggestions of the study are as follows: first, based on the teaching and learning model and results of this study, various STEAM education programs for out-of-school youth should be developed and expanded to foster future competencies and provide new changes for out-of-school youth. Second, it can be used for research on the development of teaching and learning materials for convergence elective subjects in the high school credit system by referring to the mathematics and music convergence STEAM program of this study. As the subjects and fields of STEAM education are diversified and organized, students in need of receiving educational opportunities will be reduced, and there will be a world where the name of out-of-school youth and alternative education will not be necessary. Therefore, it is expected that development of teaching and learning programs created by interest in education of out-of-school youth will be used as an innovative idea in school education to achieve a virtuous cycle.

Study of the Residential Environment and Accessibility of Rehabilitation for Patients with Cerebral Palsy (뇌성마비 환자의 주거 환경과 재활 접근성에 관한 연구)

  • Cho, Gyeong Hee;Chung, Chin Youb;Lee, Kyoung Min;Sung, Ki Hyuk;Cho, Byung Chae;Park, Moon Seok
    • Journal of the Korean Orthopaedic Association
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    • v.54 no.4
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    • pp.309-316
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    • 2019
  • Purpose: This study examined the residential environment and accessibility of rehabilitation for cerebral palsy (CP) to identify the problems with residential laws pertaining to the disabled and provide basic data on the health legislation for the rights of the disabled. Materials and Methods: The literature was searched using three keywords: residence, rehabilitation, and accessibility. Two items were selected: residential environment and rehabilitation accessibility. The questionnaire included 51 items; 24 were scored using a Likert scale and 27 were in the form of multiple-choice questions. Results: This study included 100 subjects, of which 93 lived at home and seven lived in a facility. Of these 93 subjects, 65% were living in apartments, usually two or more floors above ground, and 40% of them were living without elevators. According to the Gross Motor Function Classification System, subjects with I to III belonged to the ambulatory group and IV, V were in the non-ambulatory group. Subjects from both groups who lived at home found it most difficult to visit the rehabilitation center by themselves. In contrast, among those who lived at the facility, the ambulatory group found it most difficult to leave the facility alone, while the non-ambulatory group found it most difficult to use the toilet alone. Moreover, 83% of respondents thought that rehabilitation was necessary for CP. On the other hand, 33% are receiving rehabilitation services. Rehabilitation was performed for an average of 3.6 sessions per week, 39 minutes per session. Conclusion: There is no law that ensures secure and convenient access of CP to higher levels. Laws on access routes to enter rooms are insufficient. The disabled people's law and the disabled person's health law will be implemented in December 2017. It is necessary to enact laws that actually reflect the difficulties of people with disabilities. Based on the results of this study, an investigation of the housing and rehabilitation of patients with CP through a large-scale questionnaire will necessary.

Difference of perception of the duties of dental hygienist between dentists and dental hygiene students in an area (일개 지역 치과의사와 치위생학과 학생 간 치과위생사의 업무에 대한 인식의 차이)

  • Hwang, Soo-Jeong;Koong, Hwa-Soo;Lee, Sang-Hoon
    • Journal of Korean Academy of Dental Administration
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    • v.5 no.1
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    • pp.1-12
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    • 2017
  • Although dental hygienists have performed chair-side assisting and other dental cares as well as preventive dental cares in Korea, medical technician law confines duties of dental hygienists as closed narrative. The aim of this study was to investigate difference in perception of duties of dental hygienists in dental clinic between dentists and dental hygiene students. A total of 245 copies of questionnaires were distributed to dentists and students by post-mail. Only 42 dentists and 30 students in an area replied these questionnaires about the present and future duties of dental hygienists after providing written consent. Both groups agreed that intra and extra oral X-ray taking, education about oral health behavior, instruction after dental treatment, chair-side assisting, consulting for patients, scaling, initial impression taking, management of dental materials and equipment, sterilization of equipment, and receiving dental bills are duties of dental hygienists. However, they had different perceptions about various dental treatments as duties of dental hygienists even if they were under instructions of a dentist, including infiltration anesthesia, filling in cavity, intramuscular injection, FC change, canal irrigation, orthodontic treatment including separating, ligature bracket bonding and removing, setting crown and bridge, making individual, removing implant screw, and so on. These findings demonstrated that there were different perceptions about duties of dental hygienists between dentists and dental hygiene students, especially on dental treatment.

The Comparison of Quantitative Indices by Changing an Angle of LAO View in Multi-Gated Cardiac Blood Pool Scan (게이트 심장 혈액풀 스캔에서 좌전사위상 각도의 변화에 따른 정량적 지표 비교)

  • Yoon, Soon-Sang;Nam, Ki-Pyo;Ryu, Jae-Kwang;Kim, Seong-Hwan
    • The Korean Journal of Nuclear Medicine Technology
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    • v.16 no.1
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    • pp.57-61
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    • 2012
  • Purpose: The multi-gated cardiac blood pool scan is to evaluate the function of left ventricle (LV) and usefully observe a value of ejection fraction (EF) for a patient who is receiving chemotherapy. To calculate LVEF, we should adjust an angle of left anterior oblique (LAO) view to separate both ventricles. And by overlapped ventricles, it is possible to affect LVEF. The purpose of this study is to investigate and compare quantitative indices by changing an angle of LAO view. Materials and methods: We analyzed the 49 patients who were examined by multi-gated cardiac blood pool scan in department of nuclear medicine at Asan Medical Center from June to September 2011. Firstly, we acquired "Best septal" view. And then, we got images by addition and subtraction of angle for LAO view to anterior and lateral. We compared three LAO views for 20 people by 5 degrees and 39 people by 10 degrees. And we analyzed quantitative indices, EF, end diastole and end systole counts, by automated and manual region of interest (ROI) modes. Results: Firstly, we analyzed quantitative indices by automated ROI mode. In case of 5 degrees, the averages of EF are $61.0{\pm}7.5$, $62.1{\pm}7.1$, $60.9{\pm}6.7%$ ($p$=0.841) in LAO, LAO $-5^{\circ}$ and LAO $+5^{\circ}$ respectively. And there is no difference in end diastole and end systole counts ($p$<0.05). In case of 10 degrees, the averages of EF are $62.4{\pm}9.5$, $62.3{\pm}10.8$, $61.6{\pm}.9.3%$ ($p$=0.938) in LAO, LAO $-10^{\circ}$ and LAO $+10^{\circ}$ respectively. And there is no difference in end diastole and end systole counts ($p$<0.05). Secondly, we analyzed quantitative indices by manual ROI mode. In case of 5 degrees, the averages of EF are $62.8{\pm}7.1$, $63.6{\pm}7.5$, $62.7{\pm}7.3%$ ($p$=0.903) in LAO, LAO $-5^{\circ}$ and LAO $+5^{\circ}$ respectively. And there is no difference in end diastole and end systole counts ($p$<0.05). In case of 10 degrees, the averages of EF are $65.5{\pm}9.0$, $66.3{\pm}8.7$, $63.5{\pm}.9.3%$ (p=0.473) in LAO, LAO $-10^{\circ}$ and LAO $+10^{\circ}$ respectively. And there is no difference in end diastole and end systole counts ($p$<0.05). Conclusion: When an image is nearly "Best septal" view, the difference of LAO angle would not affect to change LVEF. Although there was no difference in quantitative analysis, deviations could happen when to interpret wall motion qualitatively by reading physicians.

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A Study on the Individual Radiation Exposure of Medical Facility Nuclear Workers by Job (의료기관 핵의학 종사자의 직무 별 개인피폭선량에 관한 연구)

  • Kang, Chun-Goo;Oh, Ki-Baek;Park, Hoon-Hee;Oh, Shin-Hyun;Park, Min-Soo;Kim, Jung-Yul;Lee, Jin-Kyu;Na, Soo-Kyung;Kim, Jae-Sam;Lee, Chang-Ho
    • The Korean Journal of Nuclear Medicine Technology
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    • v.14 no.2
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    • pp.9-16
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    • 2010
  • Purpose: With increasing medical use of radiation and radioactive isotopes, there is a need to better manage the risk of radiation exposure. This study aims to grasp and analyze the individual radiation exposure situations of radiation-related workers in a medical facility by specific job, in order to instill awareness of radiation danger and to assist in safety and radiation exposure management for such workers. Materials and Methods: 1 January 2007 to 31 December 2009 to work in medical institutions are classified as radiation workers Nuclear personal radiation dosimeter regularly, continuously administered survey of 40 workers in three years of occupation to target, Imaging Unit beautifully, age, dose sector, job function-related tasks to identify the average annual dose for a deep dose, respectively, were analyzed. The frequency analysis and ANOVA analysis was performed. Results: Imaging Unit beautifully three years the annual dose PET and PET/CT in the work room 11.06~12.62 mSv dose showed the highest, gamma camera injection room 11.72 mSv with a higher average annual dose of occupation by the clinical technicians 8.92 mSv the highest, radiological 7.50 mSv, a nurse 2.61 mSv, the researchers 0.69 mSv, received 0.48 mSv, 0.35 mSv doctors orderly, and detail work employed the average annual dose of the PET and PET/CT work is 12.09 mSv showed the highest radiation dose, gamma camera injection work the 11.72 mSv, gamma camera imaging work 4.92 mSv, treatment and safety management and 2.98 mSv, a nurse working 2.96 mSv, management of 1.72 mSv, work image analysis 0.92 mSv, reading task 0.54 mSv, with receiving 0.51 mSv, 0.29 mSv research work, respectively. Dose sector average annual dose of the study subjects, 15 people (37.5%) than the 1 mSv dose distribution and 5 people (12.5%) and 1.01~5.0 mSv with the dose distribution was less than, 5.01~10.0 mSv in the 14 people (35.0%), 10.01~20.0 mSv in the 6 people (15.0%) of the distribution were analyzed. The average annual dose according to age in occupations that radiological workers 25~34 years old have the highest average of 8.69 mSv dose showed the average annual dose of tenure of 5~9 years in jobs radiation workers in the 9.5 mSv The average was the highest dose. Conclusion: These results suggest that medical radiation workers working in Nuclear Medicine radiation safety management of the majority of the current were carried out in the effectiveness, depending on job characteristics has been found that many differences. However, this requires efforts to minimize radiation exposure, and systematic training for them and for reasonable radiation exposure management system is needed.

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Clinical Results after Repair of Rotator Cuff Tear in Patients with Accompanying AC Joint Pathology: Clinical Comparison of Non-operative Treatment (회전근개 파열과 동반된 견봉 쇄골 관절 병변이 회전근개 봉합술 후 결과에 미치는 영향: 비수술적 치료를 통한 임상적 비교)

  • Yoo, Moon-Jib;Seo, Joong-Bae;Lee, Dae-Hee;Kim, Sung-Jin
    • Clinics in Shoulder and Elbow
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    • v.15 no.2
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    • pp.86-90
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    • 2012
  • Purpose: We studied the need for distal clavicle resection by comparing rotator cuff tear patients who underwent non-surgical treatment with and without acromioclavicular joint pathology. Materials and Methods: 45 cases that had been under follow up care for at least 9 months after receiving rotator cuff repair in our hospital between Jan. 2005 and Jun. 2011 had been studied. Acromioclavicular joint pathology group and control group were classified by physical examination and MRI findings. The temporal changes in shoulder joint abduction, internal and external rotation strength, ASES and KSS score of the two groups were measured and analyzed. Results: The acromioclavicular joint pathology complicated rotator cuff injury group's strength measurements for abduction, internal rotation, external rotation were each 8.05 (${\pm}4.54$), 11.33 (${\pm}6.05$), 10.24 (${\pm}5.27$) preoperatively and improved to 13.26 (${\pm}5.50$), 17.51 (${\pm}6.80$), 15.60 (${\pm}5.37$) post operatively while the KSS score and ASES score were each 49.07 (${\pm}15.28$) and 48.65 (${\pm}13.27$) preoperatively, improving to 84.48 (${\pm}10.96$) and 84.65. (${\pm}9.86$). The measurements for the group without complicating acromioclavicular pathology are as follows. The strength for abduction, internal rotation, external rotation was each 6.42 (${\pm}3.11$), 7.59 (${\pm}4.81$) and 7.93 (${\pm}4.49$) preoperatively, improving to 15.85 (${\pm}7.35$), 19.18 (${\pm}9.14$), 16.95 (${\pm}5.70$) post operatively, while the KSS score and ASES score each went from 42.12 (${\pm}6.43$) and 41.37 (${\pm}7.42$) to 83.44 (${\pm}6.30$) and 83.17 (${\pm}7.01$) respectively. The measurements for the two groups, however, did not show a statistically significant difference (p>0.05). Conclusion: Analysis of the rotator cuff injury groups with and without AC joint pathology showed that both groups had improved strength, ASES and KSS scores with no statistical difference difference among the groups. As such, it thought that conservative treatment is an acceptable alternative to distal clavicle resection.

Evaluation of Tangential Fields Technique Using TOMO Direct Radiation Therapy after Breast Partial Mastectomy (유방 부분 절제술 후 방사선 치료 시 TOMO Direct를 이용한 접선 조사의 선량적 유용성에 관한 고찰)

  • Kim, Mi-Jung;Kim, Joo-Ho;Kim, Hun-Kyum;Cho, Kang-Chul;Chun, Byeong-Chul;Cho, Jeong-Hee
    • The Journal of Korean Society for Radiation Therapy
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    • v.23 no.1
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    • pp.59-66
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    • 2011
  • Purpose: Investigation of the clinical use of tangential fields technique using TOMO direct in comparison to conventional LINAC based radiation therapy after breast partial mastectomy. Materials and Methods: Treatment plans were created for 3 left-sided breast cancer patients who had radiation therapy after breast partial mastectomy by using wedged tangential fields technique, field in field technique (FIF), TOMO Direct, TOMO Direct intensity modulated radiation therapy (IMRT) under the normalized prescription condition ($D_{90%}$: 50.4 Gy/28 fx within CTV). Dose volume histogram (DVH) and isodose curve were used to evaluate the dose to the clinical target volume (CTV), organ at risk (OAR). We compared and analyzed dosimetric parameters of CTV and OAR. Dosimetric parameters of CTV are $D_{99}$, $D_{95}$, Dose homogeneity index (DHI: $D_{10}/D_{90}$) and $V_{105}$, $V_{110}$. And dosimetric parameters of OAR are $V_{10}$, $V_{20}$, $V_{30}$, $V_{40}$ of the heart and $V_{10}$, $V_{20}$, $V_{30}$ of left lung. Results: Dosimetric results of CTV, the average value of $D_{99}$, $D_{95}$ were $47.7{\pm}1.1Gy$, $49.4{\pm}0.1Gy$ from wedged tangential fields technique (W) and FIF (F) were $47.1{\pm}0.6Gy$, $49.2{\pm}0.4Gy$. And it was $49.2{\pm}0.4$ vs. $48.6{\pm}0.8Gy$, $49.9{\pm}0.4$ vs. $49.5{\pm}0.3Gy$ Gy for the TOMO Direct (D) and TOMO Direct IMRT (I). The average value of dose homogeneity index was W: $1.1{\pm}0.02$, F: $1.07{\pm}0.02$, D: $1.03{\pm}0.001$, I: $1.05{\pm}0.02$. When we compared the average value of $V_{105}$, $V_{110}$ using each technique, it was the highest as $34.6{\pm}9.3%$, $7.5{\pm}7.9%$ for wedged tangential fields technique and the value dropped for FIF as $16.5{\pm}14.8%$, $2.1{\pm}3.5%$, TOMO direct IMRT as $7.5{\pm}8.3%$, $0.1{\pm}0.1%$ and the TOMO direct showed the lowest values for both as 0%. Dosimetric results of OAR was no significant difference among each technique. Conclusion: TOMO direct provides improved target dose homogeneity over wedged tangential field technique. It is no increase the amount of normal tissue volumes receiving low doses, as oppose to IMRT or Helical TOMO IMRT. Also, it simply performs treatment plan procedure than FIF. TOMO Direct is a clinical useful technique for breast cancer patients after partial mastectomy.

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Survival and Complication Rate of Radiation Therapy in Stage I and II Carcinoma of Uterine Cervix (병기 I, II 자궁 경부암에서 방사선치료 후 생존율 및 합병증 분석)

  • Ma, Sun-Young;Cho, Heung-Lea;Sohn, Seung-Chang
    • Radiation Oncology Journal
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    • v.13 no.4
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    • pp.349-357
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    • 1995
  • Purpose : To analyze survival rate and late rectal and bladder complication for patients with stage I and II carcinoma of uterine cervix treated by radiation alone or combined with chemotherapy Materials and Methods : Between November 1984 and December 1993, 127 patients with stage I and II carcinoma of uterine cervix treated by radiation alone or combined therapy of radiation and chemotherapy. Retrospective analysis for survival rate was carried out on eligible 107 patients and review for complication was possible in 91 patients. The median follow-up was 47 months (range 3-118) and the median age of patiens was 56 years (range 31-76). 26 patients were stage IB by FIGO classification, 40 were stage IIA and 41 were stage IIB. 86 cases were treated by radiation alone and 21 were treated by radiation and chemotherapy. 101 patients were treated with intracavitary radiation therapy (ICRT), of these, 80 were received low dose rate (LDR) ICRT and 21 were received high dose rate (HDR) ICRT. Of the patients who received LDR ICRT, 63 were treated by 1 intracavitary insertion and 17 were underwent 2 insertions And we evaluated the external radiation dose and midline shield. Results : Actuarial survival rate at 5 years was $92{\%}$ for stage IB, $75{\%}$ for stage IIA, $53{\%}$ for stage IIB and $69{\%}$ in all patients Grade 1 rectal complications were developed in 20 cases ($22{\%}$), grade 2 were in 22 cases ($24{\%}$). 22 cases ($24{\%}$) of grade 1 urinary complications and 17 cases ($19{\%}$) of grade 2 urinary complications were observed But no patient had severe complications that needed surgical management or admission care. Maximum bladder dose for the group of patients with urinary complications was higher than that for the patients without urinary complications (7608 cGy v 6960cGy. p<0.01) Maximum rectal dose for the group of patients with rectal complications was higher than that for the patients without rectal complications (7041cGy v 6269cGy, p<0.01). While there was no significant difference for survival rate or bladder complication incidence as a function of dose to whole pelvis, Grade 2 rectal complication incidence was significantly lower for the patients receiving less than 4500cGy ($6.3{\%}$ v $25.5{\%}$, p<0.05). There was no significant differance between HDR ICRT group and LDR ICRT group for survival rate according to stage, on the other hand complication incidence was higher in the HDR group than LDR group, This was maybe due to different prescription doses between HDR group and LDR group. Midline shield neither improved survival rate nor decreased complication rate. The number of insertion in LDR ICRT group did not affect on survival and compication rate. Conclusion : In stage I and II carcinoma of uterine cervix there was no significant differance for 5 year survival rate by radiation therapy technique. Rectal complication incidence was as a function of dose to whole pelvis and there were positive correlations of maximum dose of rectum and bladder and each complication incidence. So we recommand whole pelvis dose less than 4500cGy and maximum dose of rectum and bladder as low as possible.

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Lymph Node Failure Pattern and Treatment Results of Esophageal Cancer Patients Treated with Definitive Radiotherapy (근치목적 방사선치료를 받은 식도암 환자의 림프절 재발양상과 치료성적)

  • Lee, Sun-Young;Kwon, Hyoung-Cheol;Lee, Heui-Hwan;Kim, Jung-Soo;Kim, Soo-Geon
    • Radiation Oncology Journal
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    • v.26 no.2
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    • pp.77-82
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    • 2008
  • Purpose: We evaluated the failure pattern of the celiac axis, gastric lymph node, and treatment outcome in the upper and mid-esophageal region of cancer patients treated by definitive radiotherapy, except when treating the celiac axis and gastric lymph node for treatment volume, retrospectively. Materials and Methods: The study constituted the evaluation 108 patients with locally advanced esophageal cancer receiving radiotherapy or a combination of radiotherapy and chemotherapy at Chonbuk National University Hospital from January 1986 to December 2006. In total, 82 patients treated by planned radiotherapy, except when treating the celiac axis and gastric lymph node for treatment volume, were analysed retrospectively. The study population consisted of 78 men and 2 women(mean age of 63.2 years). In addition, 51 patients received radiotherapy alone, whereas 31 patients received a combination of radiation therapy and chemotherapy. The primary cancer sites were located in the upper portion(17 patients), and mid portion(65 patients), respectively. Further, the patients were in various clinical stages including T1N0-1M0(7 patients), T2N0-1M0(18 patients), T3N0-1M0(44 patients) and T4N0-1M0(13 patients). The mean follow up period was 15 months. Results: The various treatment outcomes included complete response(48 patients), partial response(31 patients) and no response(3 patients). The failure patterns of the lymph node were comprised of the regional lymph node(23 patients) and the distance lymph node which included celiac axis and gastric lymph node(13 patients). However, metastasis was not observed in the regional and distant lymph node in 10 patients, whereas 36 patients were not evaluated. Furthermore, of the 13 patients who developed celiac axis and gastric lymph node metastases, 3 were in stage T1N0-1M0 and 10 were in stage T2-4N0-1M0. A complete response appeared in 12 patients, whereas a partial response appeared in 1 patient. The mean survival time of the patients who appeared for regional and distant lymph node metastasis was 14.4 and 7.0 months, respectively. Conclusion: In locally advanced esophageal cancer patients, who were treated by definitive radiotherapy without celiac axis and gastric lymph node irradiation, the distant lymph node metastasis rate was high and the overall survival rate was lower compared to the regional lymph node metastasis. The incidence of regional and distant lymph node metastasis was high in patients who appeared beyond clinical stage T2 and received radiotherapy alone.

The Effects of Diltiazem and Pentoxifylline on Apoptosis of Irradiated Rat Salivary Gland (흰쥐 침샘의 방사선조사시 Apoptosis에 대한 Diltiazem과 Pentoxifylline의 효과)

  • Yang, Kwang-Mo;Suh, Hyun-Suk
    • Radiation Oncology Journal
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    • v.16 no.4
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    • pp.367-375
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    • 1998
  • Purpose : Xerostomia is a complication met by almost all patients who have radiotherapy for cancers of head and neck. Many studies for prevention of xerostomia will be necessary. Radiation-induced acute response of salivary glands has been defined as interphase death or apoptosis. Increased intracellular calcium level have an important role in radiation-induced apoptosis. Calcium channel blocker may prevent radiation-induced apoptosis of salivary glands. This study was designed to evaluate the effectiveness of diltiazem known as calcium channel blocker and pentoxifylline with inhibition of inflammatory response on the apoptosis as an acute response of radiation in rat salivary glands. Materials and Methods : Sprague-Dawley rats with about body weight 200-250 g were divided into 5 study groups : control, radiation alone, diltiazem with radiation, pentoxifylline with radiation, and diltiazem and pentoxifylline with radiation. The diltiazen and pentoxifylline were injected intraperitoneally 20 mg/kg and 50 mg/kg, 30 and 20 mimute before irradiation. respectively. Irradiation was given with a 4 MV linear accelerator. The 1600 cGy of radiation was delivered in a single fraction through a single anterior portal encompassing the entire neck. After 24 h of irradiation, rats were sacrificed and parotid and submandibular glands were removed and stained with hematoxylin and eosin. The quantification of apoptosis was performed by microscopic examination of stained tissue sections at a magnification of 200X and the percentage of apoptotic cell was calculated. Results : On parotid glands, the percentage of apoptosis by radiation alone, diltiazem with radiation, pentoxifylline with radiation, and diltiazem and pentoxifylline with radiation were 1.72$\%$ (8.35/486), 0.64$\%$ (2.9/453), 0.23$\%$ (1.2/516), and 0.28$\%$ (1.1/399), respectively. The apoptosis was markedly reduced in the groups receiving drugs compared with groups receivinge, radiation alone (p<0.05). In serous cell of submandibular glands, the percentages of apoptosis of radiation alone, diltiazem with radiation, pentoxifylline with radiation, and diltiazem and pentoxifylline with radiation were 1.94$\%$ (l1/567), 0.34$\%$ (1.9/554), 0.28$\%$ (1.8/637), and 0.22$\%$ (1.3/601), respectively. In the mucus cell of submandibular glands, the percentages of apoptosis were 0.92$\%$ (5.1/552), 0.41$\%$ (2.5/612), 0.29$\%$ (1.3/455), and 0.18$\%$ (1.0/562), respectively. The apoptosis was markedly reduced in the serous glands (p<0.05), but there was no difference in development of apoptosis in each group of mucus gland. Conclusion : These results suggest that radiation-induced apoptosis of serous cells of salivary glands may be decreased by diltiazem and pentoxifylline administration.

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