• Title/Summary/Keyword: fractions with operations

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Improvement of ${\beta}-glucosidase$ Activity of Olea europaea Fruit Extracts Processed by Membrane Technology

  • Mazzei, R.;Giomo, L.;Spadafora, A.;Mazzuca, S.;Drioli, E.
    • Korean Membrane Journal
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    • v.8 no.1
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    • pp.58-66
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    • 2006
  • The ${\beta}-glucosidase$ from olive fruit is of particular interest compared to the ones from other sources because it has shown to have high specifity to convert the oleuropein into dialdehydes, which have antibacterial activity and are of high interest for their application in the food and pharmaceutical fields. The enzyme is not yet commercially available and advanced clean and safe technologies for its purification able to maintain the functional stability are foreseen. The purification of this protein from fruit extracts has been already tempted by electrophoresis but either enzyme deactivation or high background with unclear profiles occurred. In this work, fruit extracts obtained from the ripening stage that showed the highest enzyme activity have been processed by diafiltration and ultrafiltration. Asymmetric membranes made of polyamide or polysulphone having 50 and 30 kDa molecular weight cut-off, respectively, were tested for the diafiltration process. Ultrafiltration membranes made of polyethersulfone with 4 kDa molecular weight cut-off were used to concentrate the dia-filtered permeate solutions. The efficiency of the separation processes was evaluated byenzyme activity tests using the hydrolysis of p-D-nitrophenyl-${\beta}$-D-glucopyranoside (pNPGlc) as reaction model. Qualitative and quantitative electrophoresis were applied to analyze the composition of protein solution before and after the membrane separation; in addition dot blot and western blot analyses were applied to verify the presence of ${\beta}-glucosidase$ in the processed fractions. The overall results showed that the ${\beta}-glucosidase$ functional stability was preserved during the membrane operations and the removal of 20 kDa proteins allowed to increase the specific activity of the enzyme of about 52% compared to the one present in the initial fruit extract.

A Comparative Study on French and Korean Primary Mathematics Education (프랑스와 우리나라의 초등 수학교육 비교 연구: 수와 연산 영역을 중심으로)

  • Seo, Dong Yeop
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.2
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    • pp.207-229
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    • 2020
  • The study examined on the general educational system, the structure of the document of mathematical curriculum, and the characteristics of the achievement standards written in the document of France in order to compare with Korean primary mathematics education. French pupils learn about 5% more hours than Korean sixth grade pupils, and French document of mathematical curriculum describes the contents included in the documents more concretely than us. There were a large differences in the subjects both of mixed calculations and division of fractions in the area of number and operations. The study proposed the necessity for researches on the concrete description of the document of mathematical curriculum, more concrete examples to use to teach pupils on the viewpoints of school mathematics, and the learning sequences and methods of the division of fractional numbers. At last we proposed to need rethink of the importances and teaching methods of calculations.

An Analysis of the Communication Patterns according to the Mathematical Problem Types in Small Group (소집단 문제해결 학습에서 수학 문제 유형에 따른 의사소통의 패턴 분석)

  • Choi, Ji-Young;Lee, Dae-Hyun
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.247-265
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    • 2009
  • In the 21C information-based society, there is an increasing demand for emphasizing communication in mathematics education. Therefore the purpose of this study was to research how properties of communication among small group members varied by mathematical problem types. 8 fourth-graders with different academic achievements in a classroom were divided into two heterogenous small groups, four children in each group, in order to carry out a descriptive and interpretive case study. 4 types of problems were developed in the concepts and the operations of fractions and decimals. Each group solved four types of problems five times, the process of which was recorded and copied by a camcorder for analysis, among with personal and group activity journals and the researcher's observations. The following results have been drawn from this study. First, students showed simple mathematical communication in conceptual or procedural problems which require the low level of cognitive demand. However, they made high participation in mathematical communication for atypical problems. Second, even participation by group members was found for all of types of problems. However, there was active communication in the form of error revision and complementation in atypical problems. Third, natural or receptive agreement types with the mathematical agreement process were mainly found for conceptual or procedural problems. But there were various types of agreement, including receptive, disputable, and refined agreement in atypical problems.

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Treatment Outcome and Analysis of the Prognostic Factors of Ductal Carcinoma in situ Treated with Breast Conserving Surgery and Radiotherapy (유방 관상피내암의 유방 보존술 후 방사선 치료의 성적과 예후 인자 분석)

  • Kim, Kyoung-Ju;Huh, Seung-Jae;Park, Won;Yang, Jeong-Hyeon;Nam, Seog-Jin;Kim, Jeong-Han;Lee, Sung-Kong;Lee, Jee-Hyun;Kang, Sung-Soo;Lee, Jeong-Eun;Kang, Min-Kyu;Park, Young-Je;Nam, Hee-Rim
    • Radiation Oncology Journal
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    • v.22 no.1
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    • pp.11-16
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    • 2004
  • Purpose: To evaluate the survival rate, local failure rate and patterns of failure, and analyze the prognostic factors affecting local relapse of ductal carcinoma in situ treated with breast conserving surgery and radiotherapy Materials and Methods: From June 1995 to December 2001, 96 patients with ductal carcinoma in situ treated with breast conserving surgery and radiotherapy were retrospectively analyzed. The operations were either local or wide excision in all patients, with an axillary lymph node dissection performed in some patients. Radiation dose to the whole breast was 50.4 Gy, over 5 weeks, with 1.8 Gy daily fractions, with additional doses ($10\~14$ Gy) administered to the primary tumor bed in some patients with close ($\leq$2 mm) or positive resection margin. The median follow-up period was 43 months (range $10\~102$ months). Results: The 5-year local relapse free survival and overall survival rates were 91 and $100\%$ respectively. Local relapse occurred in 6 patients ($6.3\%$). Of the 6 recurrences, one was invasive ductal cell carcinoma. With the exception of one, all patients recurred 2 years after surgery. There was no regional recurrence or distant metastasis. Five patients with local recurrence were salvaged with total mastectomy, and are alive with no evidence of disease. One patient with recurrent invasive ductal cell carcinoma will receive salvage treatment. On analysis of the prognostic factors affecting local relapse, none of the factors among the age, status of resection margin, comedo type and nuclear grade affected local relapse. Operation extent also did not affect local control (p=0.30). In the patients with close resection margin, boost irradiation to the primary tumor bed did not affect local control (p=1.0). Conclusions: The survival rate and local control of the patients with ductal carcinoma in situ treated with breast conserving surgery and radiotherapy were excellent. Close resection margin and boost irradiation to the primary tumor bed did not affect local relapse, but further follow-up with much more patients is needed.

Radiotherapy for Early Glottic Carinoma (조기 성문암 환자에서의 방사선치료)

  • Kim, Won-Taek;Nam, Ji-Ho;Kyuon, Byung-Hyun;Wang, Su-Gun;Kim, Dong-Won
    • Radiation Oncology Journal
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    • v.20 no.4
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    • pp.295-302
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    • 2002
  • Purpose : The Purpose of this study was to establish general guidelines for the treatment of patients with early glottic carcinoma (T1-2N0M0), by assessing the role of primary radiotherapy and by analyzing the tumor-related and treatment-related factors that have an influence on the treatment results. Materials and Methods : This retrospective study was composed of 80 patients who suffered from early glottic carcinoma and were treated by primary radiotherapy at Pusan National University Hospital, between August 1987 and December 1996. The distribution of patients according to T-stage was 66 for stage T1 and 14 for stage T2. All of the patients were treated with conventional radical radiotherapy using a 6MV photon beams, a total tumor dose of $60\~75.6\;Gy$ (median 68.4 Gy), administered in 5 weekly fractions of $1.8\~2.0\;Gy$. The overall radiation treatment time was from 40 to 87 days, median 51 days. All patients were followed up for at least 3 years. Univariate and multivariate analysis was done to identify the prognostic factors affecting the treatment results. Results : The five-years survival rate was $89.2\%$ for all patients, $90.2\%$ for T1 and $82.5\%$ for T2. The local control rate was $81.3\%$ for all patients, $83.3\%$ for T1 and $71.4\%$ for T2. However, when salvage operations were taken into account, the ultimate local control rate was $91.3\%,\;T1\;94.5\%,\;T2\;79.4\%$, reprosenting an increase of $8\~12\%$ in the local control rate. The voice preservation rate was $89.2\%,\;T1\;94.7\%,\;T2\;81.3\%$. Fifteen patients suffered a relapse after radiotherapy, among whom 12 patients underwent salvage surgery. We included T-stage, tumor location, total radiation dose, fraction size, field size and overall radiation treatment time as potential prognostic factors. T-stage and overall treatment time were found to be statistically significant in the univariate analysis, but in the multivariate analysis, only the over-all treatment time was found to be significant. Conclusion : The high cure and voice preservation rates obtained when using a procedure, comprising a combination of radical radiotherapy and salvage surgery, may make this the treatment of choice for patients with early glottic carcinoma. However, the prognostic factors affecting the treatment results must be kept in mind, and more accurate treatment planning and further optimization of the radiation dose are necessary.