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Multivariate Analysis of Predictive Factors for the Severity in Stable Patients with Severe Injury Mechanism (중증 손상 기전의 안정된 환자에서 중증도 예측 인자들에 대한 다변량 분석)

  • Lee, Jae Young;Lee, Chang Jae;Lee, Hyoung Ju;Chung, Tae Nyoung;Kim, Eui Chung;Choi, Sung Wook;Kim, Ok Jun;Cho, Yun Kyung
    • Journal of Trauma and Injury
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    • v.25 no.2
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    • pp.49-56
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    • 2012
  • Purpose: For determining the prognosis of critically injured patients, transporting patients to medical facilities capable of providing proper assessment and management, running rapid assessment and making rapid decisions, and providing aggressive resuscitation is vital. Considering the high mortality and morbidity rates in critically injured patients, various studies have been conducted in efforts to reduce those rates. However, studies related to diagnostic factors for predicting severity in critically injured patients are still lacking. Furthermore, patients showing stable vital signs and alert mental status, who are injured via a severe trauma mechanism, may be at a risk of not receiving rapid assessment and management. Thus, this study investigates diagnostic factors, including physical examination and laboratory results, that may help predict severity in trauma patients injured via a severe trauma mechanism, but showing stable vital signs. Methods: From March 2010 to December 2011, all trauma patients who fit into a diagnostic category that activated a major trauma team in CHA Bundang Medical Center were analyzed retrospectively. The retrospective analysis was based on prospective medical records completed at the time of arrival in the emergency department and on sequential laboratory test results. PASW statistics 18(SPSS Inc., Chicago, IL, USA) was used for the statistical analysis. Patients with relatively stable vital signs and alert mental status were selected based on a revised trauma score of more than 7 points. The final diagnosis of major trauma was made based on an injury severity score of greater than 16 points. Diagnostic variables include systolic blood pressure and respiratory rate, glasgow coma scale, initial result from focused abdominal sonography for trauma, and laboratory results from blood tests and urine analyses. To confirm the true significance of the measured values, we applied the Kolmogorov-Smirnov one sample test and the Shapiro-Wilk test. When significance was confirmed, the Student's t-test was used for comparison; when significance was not confirmed, the Mann-Whitney u-test was used. The results of focused abdominal sonography for trauma (FAST) and factors of urine analysis were analyzed using the Chi-square test or Fisher's exact test. Variables with statistical significance were selected as prognostics factors, and they were analyzed using a multivariate logistics regression model. Results: A total of 269 patients activated the major trauma team. Excluding 91 patients who scored a revised trauma score of less than 7 points, 178 patients were subdivided by injury severity score to determine the final major trauma patients. Twenty-one(21) patients from 106 major trauma patients and 9 patients from 72 minor trauma patients were also excluded due to missing medical records or untested blood and urine analysis. The investigated variables with p-values less than 0.05 include the glasgow coma scale, respiratory rate, white blood cell count (WBC), serum AST and ALT, serum creatinine, blood in spot urine, and protein in spot urine. These variables could, thus, be prognostic factors in major trauma patients. A multivariate logistics regression analysis on those 8 variables showed the respiratory rate (p=0.034), WBC (p=0.005) and blood in spot urine (p=0.041) to be independent prognostic factors for predicting the clinical course of major trauma patients. Conclusion: In trauma patients injured via a severe trauma mechanism, but showing stable vital signs and alert mental status, the respiratory rate, WBC count and blood in the urine can be used as predictable factors for severity. Using those laboratory results, rapid assessment of major trauma patients may shorten the time to diagnosis and the time for management.

Changes in Texture and Sensory Properties of Low-Temperature and Long-Term Fermented Baechu Kimchi during the Fermentation (묵은 배추김치 제조과정에서의 텍스쳐 및 관능적 특성 변화)

  • Chung, Hee-Jong;Kim, Hyung-Ryang;Yoo, Maeng-Ja
    • Journal of the Korean Society of Food Culture
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    • v.20 no.4
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    • pp.426-432
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    • 2005
  • To develop a low-temperature and long-term fermented Baechu kimchi, kimchi was prepared according to a recipe of specific ratio with major and minor ingredients and adjusted its final salinity to 3.7%. Baechu kimchi fermented at $15{\pm}1^{\circ}C$ 24 hours and transferred them into in a refrigerator only for kimchi, and then continued to ferment at $-1{\pm}1^{\circ}C$ for 30 weeks to make a low-temperature and long-term fermented kimchi. The initial cutting force of 8.45kgf dropped gradually and reached to 5.19kgf after 30 weeks of fermentation. In compression force the gumminess, hardness and chewiness of Baechu kimchi showed a great decrease during the fermentation, but the springiness and adhesiveness increased in slight. Correlation coefficient between the chewiness and gumminess was the highest(r=0.879). In spite of sensory evaluation scores of the appearance and texture were the highest on 0 day of fermentation, the saltiness was evaluated the worst to eat. Scores for sourness and carbonated flavor were the best during 18 to 22 weeks of fermentation, and overall acceptability was the best after 14 weeks of fermentation. Very high correlation coefficients were revealed between the sourness and carbonated flavor(r=0.813) and between the sourness and off-flavor(r=0.805). According to these results we concluded that the best low-temperature and long-term fermented Baechu kimchi prepared with 3.7% salinity and fermented at $15{\pm}1^{\circ}C$ for 24 hours and then transferred into a kimchi refrigerator at $-1{\pm}1^{\circ}C$, and completed the fermentation for 18 weeks.

Dispute of Part-Whole Representation in Conceptual Modeling (부분-전체 관계에 관한 개념적 모델링의 논의에 관하여)

  • Kim, Taekyung;Park, Jinsoo;Rho, Sangkyu
    • Journal of Intelligence and Information Systems
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    • v.18 no.4
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    • pp.97-116
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    • 2012
  • Conceptual modeling is an important step for successful system development. It helps system designers and business practitioners share the same view on domain knowledge. If the work is successful, a result of conceptual modeling can be beneficial in increasing productivity and reducing failures. However, the value of conceptual modeling is unlikely to be evaluated uniformly because we are lack of agreement on how to elicit concepts and how to represent those with conceptual modeling constructs. Especially, designing relationships between components, also known as part-whole relationships, have been regarded as complicated work. The recent study, "Representing Part-Whole Relations in Conceptual Modeling : An Empirical Evaluation" (Shanks et al., 2008), published in MIS Quarterly, can be regarded as one of positive efforts. Not only the study is one of few attempts of trying to clarify how to select modeling alternatives in part-whole design, but also it shows results based on an empirical experiment. Shanks et al. argue that there are two modeling alternatives to represent part-whole relationships : an implicit representation and an explicit one. By conducting an experiment, they insist that the explicit representation increases the value of a conceptual model. Moreover, Shanks et al. justify their findings by citing the BWW ontology. Recently, the study from Shanks et al. faces criticism. Allen and March (2012) argue that Shanks et al.'s experiment is lack of validity and reliability since the experimental setting suffers from error-prone and self-defensive design. They point out that the experiment is intentionally fabricated to support the idea, as such that using concrete UML concepts results in positive results in understanding models. Additionally, Allen and March add that the experiment failed to consider boundary conditions; thus reducing credibility. Shanks and Weber (2012) contradict flatly the argument suggested by Allen and March (2012). To defend, they posit the BWW ontology is righteously applied in supporting the research. Moreover, the experiment, they insist, can be fairly acceptable. Therefore, Shanks and Weber argue that Allen and March distort the true value of Shanks et al. by pointing out minor limitations. In this study, we try to investigate the dispute around Shanks et al. in order to answer to the following question : "What is the proper value of the study conducted by Shanks et al.?" More profoundly, we question whether or not using the BWW ontology can be the only viable option of exploring better conceptual modeling methods and procedures. To understand key issues around the dispute, first we reviewed previous studies relating to the BWW ontology. We critically reviewed both of Shanks and Weber and Allen and March. With those findings, we further discuss theories on part-whole (or part-of) relationships that are rarely treated in the dispute. As a result, we found three additional evidences that are not sufficiently covered by the dispute. The main focus of the dispute is on the errors of experimental methods: Shanks et al. did not use Bunge's Ontology properly; the refutation of a paradigm shift is lack of concrete, logical rationale; the conceptualization on part-whole relations should be reformed. Conclusively, Allen and March indicate properly issues that weaken the value of Shanks et al. In general, their criticism is reasonable; however, they do not provide sufficient answers how to anchor future studies on part-whole relationships. We argue that the use of the BWW ontology should be rigorously evaluated by its original philosophical rationales surrounding part-whole existence. Moreover, conceptual modeling on the part-whole phenomena should be investigated with more plentiful lens of alternative theories. The criticism on Shanks et al. should not be regarded as a contradiction on evaluating modeling methods of alternative part-whole representations. To the contrary, it should be viewed as a call for research on usable and useful approaches to increase value of conceptual modeling.

A Study on Korea Coast Guard Intelligence Centered on legal and Institutional comparison to other organizations, domestic and international (해양경비안전본부 정보활동의 법적·제도적 측면의 문제점 분석 및 개선방안 연구)

  • Soon, Gil-Tae
    • Korean Security Journal
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    • no.44
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    • pp.85-116
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    • 2015
  • Found in 23 Dec 1953 to cope with illegal fishing of foreign ships and coastal guard duty, Korea Coast Guard was re-organized as an office under Ministry of Public Safety since the outbreak of sinking of passenger ship "Sewolho". In the course of re-organization, intelligence and investigation duty were transferred to Police Department except "Cases happened on the sea". But the definition of intelligence duty is vague and there are lots of disputes over the jurisdiction and range of activities. With this situation in consideration, the object of this study is to analyse legal and institutional characteristic of KCG Intelligence, to compare them to that of Police Department, foreign agencies like Japan Coast Guard and US Coast Guard, to expose the limit and to suggest solution. To summarize the conclusion, firstly, in the legal side, there is no legal basis on intelligence in [The Government Organization Act], no regulation for mission, weak basis in application act. Secondly, in the institutional side, stated in the minor chapter of [The Government Organization Act], 'the cases happened on sea' is a quite vague definition, while guard, safety, maritime pollution duty falls under 'on the sea' category, intelligence fell to 'Cases happened on the sea' causing coast guard duty and intelligence have different range. In addition, reduced organization and it's manpower led to ineffective intelligence activities. In the case of Police Department, there is definite lines on 'administration concerning public security' in [The Government Organization Act], specified the range of intelligence activities as 'collect, make and distribute information concerning public security' which made the range of main duty and intelligence identical. Japanese and US coast guards also have intelligence branch and performing activities appropriate for the main missions of the organizations. To have superiority in the regional sea, neighboring countries Japan and China are strengthening on maritime power, China has launched new coast guard bureau, Japan has given the coast guard officers to have police authority in the regional islands, and to support the objectives, specialized intelligence is organized and under development. To secure maritime sovereignty and enhance mission capability in maritime safety duty, it is strongly recommended that the KCG intelligence should have concrete legal basis, strengthen the organization and mission, reinforce manpower, and ensure specialized training administrative system.

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Sandstone Diagenesis of the Lower Permian Jangseong Formation, Jangseong Area, Samcheog Coalfield (삼척탄전 장성일대에 분포하는 하부페름기 장성층 사암의 속성작용)

  • 박현미;유인창;김형식
    • The Journal of the Petrological Society of Korea
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    • v.7 no.2
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    • pp.132-145
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    • 1998
  • The coal-bearing siliciclastic rocks of the Lower Permian Jangseong Formation, Samcheog coalfield, represent a megacyclothem which shows cyclic repetitions of sandstone, shale, coaly shale, and coals. Petrographic, geochemical, and SEM studies for sandstone samples, and XRD analysis for clay minerals were carried out to understand diagenesis in the sandstones of the Jangseong Formation. The Jangseong sandstones are composed of 60% quartz (mainly monocrystalline quartz) and 36% clay matrix and cement with minor amounts of feldspar, lithic fragments and accessory minerals (less than 4%). Jangseong sandstones are classified mostly as quartzwackes and partly as lithic graywackes according to the scheme of Dott(1964). The textural relationships between authigenic minerals and cements in thin sections and SEM photomicrographs suggest the paragenetic sequence as follows; (1) mechanical compaction, (2) cementation by quartz overgrowth, (3) formation of authigenic clay minerals (illite, kaolinite), (4) dissolution of framework grains and development of secondary porosity, and (5) later-stage pore-filling by pyrophyllite. We propose that these diagenetic processes might be due to organic-inorganic interaction between the dominant framework grains and the formation water. The Al, Si ions and organic acid, derived from dewatering of interbedded organic-rich shale and coals, were transported into the Jangseong sandstones. This caused changes in the chemistry of the formation water of the sandstones, and resulted in overgrowth of quartz and precipitation of authigenic clay minerals of kaolinite and illite. The secondary pores, produced during dissolution of clay and framework grains by organic acid and $CO_2$ gas, were conduit for silica-rich solution into the Jangseong sandstones and the influx of silica-rich solution produced the late-stage pyrophyllite after the expanse of kaolinite. The origin of the solution that formed pyrophyllite is not likely to be the organic-rich formation water based on the observation of fracture-filling pyrophyllite in the Jangseong sandstones, but the process of pyrophyllite pore-filling was indirectly related to organic-inorganic interaction.

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A Study of the Standard of Costume life in the Chosen Dynasty Period -Focus on Literature- (조선시대의 의생활규범에 관한 연구 -문헌을 중심으로-)

  • Hyun Jin Sook;Min Gil Ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.9 no.2
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    • pp.67-74
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    • 1985
  • According to the records that all the people in our country were taught the way of braiding the hair and hatting in the first year of 'Tangun' (the founding father of the Korean nation) and that the discipline between sovereign and subject, man and woman, and the standard of food, drink and dwelling were originated from that year, it seems that all the people in our country had lived with keeping a certain standard of food, clothing and shelter, and with maintaining the order in life from ancient times. So, our country have been called 'the Eastern Land of Courtesy' and also regarded as 'the country of the true gentle-man' which was characterized as the custom of a humane, and as the country that had the immortality since a benevolent person lived to a great age. Thus, all the people in our country have lived with keeping and maintaining a certain standard of all aspects in life, and the philosophy in life that we have today was established by the influences of our characteristic thought, Confucianism, Buddhism, Taoism and Christianity, especially the life style in the Chosun Dynasty Period have strong influence on our today life. Thus, the contents concerned with the standard of custume life among those of all life in the Chosun Dynasty Period was studied, and clothes itself is unable to give expression to its ends but when the relationship that is, the inter-harmony among clothes, the body which will be dressed in, and the inherent psyche in that body is formed, then the ends, the complete beauty will be expressed. Though there were many studies dealt with clothes itself, no one was concerned with the all kinds of standard in activities that the dresser should keep, so the purpose of this article is that as above. The literature search is used as the research method. The eight books, 'Noneo' (the Analects of Confucius), 'Yeogi' (the Book of Courtesy), 'Sohak' (the book of Precepts for child-ren), 'Yeosaseo'(the Women's Four Books), 'Sasojeol'(Korean Scholars' Minor Principles) 'Eonhaenaehoon' (Private Moral Instructions for Women), 'Woo-am seonsaeng kyenyeoseo' (Master Woo-am's Cautions for Girls) and 'Kyoobangkasa' (the Lyric Lines of the Boudoir) that had influenced the whole field of life in the Chosun Dynasty Period are analyzed, selected and finally arranged for studyilng the foundation of culture of the clothing and for helping to that culture in modern and future life. The results are as follows: 1. The standard of the clothing life in the Chosun Dynasty Period had deeply rooted in the teaching of confucianism, but also had been influenced by the custom which rooted in our people. 2. There is the emphasis upon the trinity among mind, clothes and activities in the clothing life. 3. The clothing and hat have to be dressed symmetrically in full of all required elements, 4. There is the harmony between the clothing with hat and environments or surroundings. 5. The true elegance in the clothing life will be realized not by the exterior outfit but by the interior outfit with the attitude of chastiny. In conclusion, as the material of clothing life in the Chosun Dynasty Period has the characteristics of the simplicity, the cleanliness, the elegance and the refinement, our clothing life is to be mastered with the simplicity, the cleanliness and the elegance in that life and with the harmony between the inside and the outside.

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Prevalence of anatomical alar band (콧방울띠의 유병율)

  • Kim, Jung Suk;Kim, Cheol Soon;Cha, Jung Yul;Kim, Hee Jin;Hwang, Chung Ju
    • Journal of the Korean Academy of Esthetic Dentistry
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    • v.24 no.1
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    • pp.4-12
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    • 2015
  • Purpose: Due to the presence of various muscles around lips, variety of facial expression can be made and changes from aging process such as wrinkles can develop on the facial skin by the action of multiple muscles. In animals, skin and muscles are developed in the entire body. On contrast, they are well developed only in the face and just one is present in the neck and the palm. Alar band was defined as outer wrinkle formed by zygomaticus minor muscle, which is common in Koreans. This study aimed to investigate clinical prevalence of alar band. Materials & Methods: Subjects were chosen from 780 new patients who visited private clinic in Gyeonggi province for orthodontic treatment. Presence of alar band was examined from the smile extraoral photos. Correlation among skeletal form, lip protrusion, gender, and age were evaluated. Results: Prevalence of alar band was higher in women (27.9%) than in men (18.5%) with statistical significance (p<0.05). With respect to age, prevalence of alar band was 19.4% in age 0-9 y, 16.9% in age 10-19 y, 31.2% in age 20-29 y, 39.5% in age 30-39, 56.5% in age 40-49. Prevalence was gradually increased from patients in their 20s to patients in their 40s and statistical significance was found (p<0.001). Concerning SN_NP, prevalence was 26.2% in normodivergent facial type, 22.0% in hyperdivergent facial type, and 32.2% in hypodivergent facial type. Hypodivergent facial group had higher prevalence but statistical significance was not observed. Statistically significant difference was not found regarding upper lip. However, prevalence of the alar band was 26% in patients with normal lower lip, 14.7% in patients with pretruded lower lip, and 33.3% in retruded lower lip. The prevalence was higher in patients with retruded lower lip with statistical significance (p<0.05). Conclusions: 27.8% on previous anatomical study and this study showed 27.8% prevalence of alar band in clinical smile photographs. Clinical photograph study showed that alar band was more prominent in women, older people, and people with retruded lips with statistical significance. This will provide valuable diagnostic information for esthetic consideration.

Sorghum Extract Enhances Caspase-dependent Apoptosis in Primary Prostate Cancer Cells and Immune Activity in Macrophages (수수 추출물에 의한 primary 전립선 암세포의 caspase 의존성 apoptosis 유도 및 대식세포 면역활성 증가)

  • Cho, Hyun-Dong;Kim, Jeong-Ho;Hong, Seong-Min;Lee, Ju-Hye;Lee, Yong-Seok;Kim, Du-Hyun;Seo, Kwon-Il
    • Journal of Life Science
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    • v.26 no.12
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    • pp.1431-1437
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    • 2016
  • Sorghum bicolor L. is one of the important minor cereals in Asia, Africa, and the central United States, and it is considered a rich source of polyphenols, flavonoids, and dietary fiber. However, there is a lack of data on the anti-cancer activity of Sorghum in prostate cancer cells and immune activity in macrophages. This study aims to investigate the potential effects of an ethanol extract of S. bicolor L. (SE) on inducing apoptosis in RC-58T/h/SA#4 cells and immunomodulatory activity in RAW 264.7 cells. SE significantly inhibited the viability of RC-58T/h/SA#4 primary prostate cancer cells in a dose-dependent manner. The morphology of RC-58T/h/SA#4 cells treated with SE was shrunken and involved the formation of an apoptotic body and nuclear condensation. In addition, SE markedly activated caspase-8, -9, and -3; increased the protein levels of Bax, p53, cleaved PARP, and cytosolic cytochrome c; and decreased Bcl-2 protein expression. Furthermore, the inhibition of caspases in RC-58T/h/SA#4 cells with z-VAD-fmk attenuated SE-induced cell growth inhibition. The production of nitric oxide (NO) was also elevated by SE treatment, as revealed by immune response parameters. These results suggest that SE inhibits growth and induces apoptosis in primary human prostate cancer cells in a caspase-dependent manner, and it modulates the immune functions in macrophages. Therefore, Sorghum bicolor L. may be used as a functional food to prevent prostate cancer and enhance immune activity.

Characteristic of mycelial growth of cauliflower mushroom (Sparassis latifolia) using replacement culture with Trichoderma and rDNA analysis in genealogy of crossbreeding strain (푸른곰팡이 대치배양에 의한 꽃송이버섯 균사 생장 특성 및 계통간 교잡균주의 rDNA 분석)

  • Oh, Deuk-Sil;Kim, Hyun-Suk;Kim, Young;Wi, An-Jin;Yoon, Byung-Sun;Park, Whoa-Shig;Park, Hyeong-Ho;Wang, Seung-Jin
    • Journal of Mushroom
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    • v.12 no.1
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    • pp.41-51
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    • 2014
  • Cauliflower mushroom widely known high concent of ${\beta}$-glucan for farm cultivation invigoration verified characteristics of mycelia growth, genetic diversity, resistance to Trichoderma by replacement culture with Trichoderma and growth characteristics of new variety crossbleeding strain. The result of replacement culture with Trichoderma for verification resistance about Trichoderma, 6951 (T. viride) strain did not show special change after formation of confrontation line and 6952 (T. spp.) strain was showed more formation of spore after formation of confrontation line. But 6426 (T. harzianum) strain found to encroach part of growth area of cauliflower mushroom mycelia. Among 10 kinds cauliflower mushroom strain, JF02-06 strain collected by Gurye, found did not spore of Trichoderma and thought to be resistant to Trichoderma. The result of crossbleeding after selected that mother strain good growth and formation of fruit body, verified good mycelia growth at JF02-47, 49 and 50 strain in Korean pine of wood-chip media. The result of gene sequence about ITS1, 5.8S and ITS4 for analysis of genetic diversity at crossbleeding strain, found high significance to other cauliflower mushroom in registered Genebank. The result of growth characteristic of spore and mycelia of cauliflower mushroom by observation microscope, size of spore showed water drop shape to major axis $6{\mu}m$ and minor axis $5{\mu}m$ and clamp showed 3 types in mycelia. The wide of mycelia was $3{\mu}m$. The characteristic of mycelia of cauliflower mushroom found to grow mycelia in clamp at approximately 50%. The growth speed of mycelia was $0.507{\mu}m/min$ and 2nd mycelia grown similar speed to mother mycelia at parallel with mother mycelia after growth speed at $0.082{\mu}m/min$. The formation of clamp made small clamp for 5 hours after shown transfer of electrolyte in mycelia inside. The septum formation started after 3 hours and then finally completed after 2 hours. In this study, strain of cauliflower mushroom verified resistance of Trichoderma, genetic diversity and characteristic of mycelia growth. Therefore, basic knowledge of cauliflower mushroom will improve and further contribute to development of mushroom industry.

Synthesis of Fe­Garnet for tile Immobilization of High Level Radioactive Waste (고준위 방사성폐기물의 고정화를 위한 Fe­석류석 합성 연구)

  • ;;;Yudintsev, S. V.
    • Journal of the Mineralogical Society of Korea
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    • v.16 no.4
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    • pp.307-320
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    • 2003
  • Garnet has been considered as a possible matrix for the immobilization of radioactive actinides. It is expected that Fe­based garnet be able to have the high substitution ability of actinide elements because ionic radius of Fe in tetrahedral site is larger than that of Si of Si­based garnet. Accordingly, we synthesized Fe­garnet with the batch composition of $Ca_{2,5}$C $e_{0.5}$Z $r_2$F $e_3$ $O_{12}$ and $Ca_2$CeZrFeF $e_3$ $O_{12}$ and studied their phase relations and properties. Mixed samples were fabricated in pellet forms under the pressure of 400 kg/$\textrm{cm}^2$ and were sintered in the temperature range of 1100∼140$0^{\circ}C$ in atmospheric conditions. Phase identification and chemical composition of synthesized samples were analyzed by XRD and SEM/EDS. In results, where the compounds were sintered at 130$0^{\circ}C$, we optimally obtained Fe­garnets as the main phase, even though some minor phases like perovskite were included. The compositions of Fe­garnets synthesized from the batch compositions of $Ca_{2,5}$C $e_{0.5}$Z $r_2$F $e_3$ $O_{12}$ and $Ca_2$CeZrFeF $e_3$ $O_{12}$, are $Ca_{2.5­3.2}$C $e_{0.3­0.7}$Z $r_{1.8­2.8}$F $e_{1.9­3.2}$ $O_{12}$ and $Ca_{2.2­2.5}$C $e_{0.8­1.0}$Z $r_{1.3­1.6}$ F $e_{0.4­.07}$ F $e_{3­3.2}$ $O_{12}$, respectively. Ca contents were exceeded and Ce contents were exceeded or depleted in 8­coodinated site, comparing to the initial batch composition. These results were caused by the compensation of the difference of ionic radius between Ca and Ce.