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    ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์ด ์‚ฌ๋žŒ ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ์˜ ๊ณจ๋ถ„ํ™”์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ

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    ํ•™์œ„๋…ผ๋ฌธ (๋ฐ•์‚ฌ) -- ์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› : ์น˜์˜ํ•™๋Œ€ํ•™์› ์น˜์˜ํ•™๊ณผ, 2020. 8. ์ •ํ•„ํ›ˆ.Introduction: In the field of tissue engineering, dental stem cells isolated from human teeth have been differentiated into various cells in order to promote regeneration of tooth structures and periodontal tissue. Furthermore, many researches have been conducted to discover materials, especially natural products with fewer adverse side-effects or toxicity, that promote stem cell differentiation and periodontal tissue regeneration. Recently, implementation of naturally occurring bioactive compounds from seaweeds has been carried out for stimulating proliferation and differentiation of stem cells. In this study, Ecklonia cava, an edible brown alga species found along the southern coast of Korea, was investigated as a possible osteogenic product. Various biological activities of Ecklonia cava have been reported including antioxidation, anti-inflammatory, anticancer, antihypertensive, and antidiabetic effects. However, no previous study has investigated the effects of Ecklonia cava on the differentiation of human periodontal ligament stem cells (hPDLSCs). Thus, the aim of this study was to investigate the effects of Ecklonia cava on the osteogenic differentiation of hPDLSCs. Materials and Methods: hPDLSCs were isolated and cultured from human third molars. To characterize the cultured hPDLSC, flow cytometric analysis was performed using mesenchymal stem cell (MSC) markers. Then, the multilineage differentiation capacity of hPDLSC was confirmed with Alizarin Red S stain, Oil Red O dye and Alcian Blue stain as indicators of osteogenic, adipogenic, and chondrogenic differentiation, respectively. To examine the effects of Ecklonia cava extract (ECE) on hPDLSC viability, hPDLSCs were incubated with various concentrations of ECE for 1, 3, and 7 days. Then, to investigate the effects of ECE on the osteogenic differentiation of hPDLSCs, gene expression levels of the osteoblastic marker genes, Col1, ALP, OPN, OCN, and Runx2, were examined by real-time PCR, and protein expression levels of OCN, OPN, Col1, and Runx2 were detected by Western blot. In addition, possible mechanism underlying the osteogenic differentiation process after ECE treatment was explored by measuring the expression levels of Smad4, p-Smad2/3, p-p38, p38, p-ERK1/2 and ERK1/2 using Western blot. To evaluate the capacity of hPDLSCs for bone formation in response to ECE, hPDLSCs were mixed with HA/TCP without or with ECE and then subcutaneously transplanted into the dorsal surface of immunocompromised mice. For histological analysis, samples were acquired 10 weeks after transplantation, and hematoxylin and eosin (H&E) staining and immunohistochemical analysis were used to evaluate the differentiated bone-like tissue. Results: Characterization of hPDLSCs as mesenchymal stem cells (MSCs) and multilineage differentiation potential of hPDLSCs were confirmed. For the effects of ECE on hPDLSC proliferation, ECE increased proliferation of hPDLSCs without any cytotoxicity after 1 and 3 days of culture. After 7 days of culture, cell proliferation declined below the control value starting at 100 ยตg/ml of ECE. Real-time PCR showed that expressions of ALP, Col1, OCN, OPN, and Runx2 increased in ECE-treated group compared to untreated group, and protein expression levels of OCN, OPN, Col1, and Runx2 increased as well. In addition, Western blot analysis demonstrated that ECE may stimulate osteogenesis by activation of p38 and ERK1/2 signaling pathways. For in vivo study, histological analysis with H&E staining showed increased area of bone-like tissue layer in the ECE-treated group, and immunohistochemical analysis confirmed the generation of bone-like tissue with increased OSX, OPN, and OCN expressions. Conclusion: In this study, the effect of ECE on osteogenic differentiation of hPDLSCs was investigated in vitro and in vivo. The results of the experiments confirmed that ECE-treated group had greater ability to promote osteogenic differentiation of hPDLSCs compared to the control group. Therefore, ECE is suggested to be a potential natural compound with therapeutic properties against bone-related complications and diseases that urge further studies to elucidate its detailed mechanism of action and bioavailability.์น˜์•„์˜ ์—ฌ๋Ÿฌ ๋ถ€์œ„์—์„œ ์ค„๊ธฐ์„ธํฌ๋ฅผ ์ถ”์ถœํ•˜์—ฌ ๋‹ค์–‘ํ•œ ์„ธํฌ๋กœ ๋ถ„ํ™”์‹œํ‚ค๊ณ  ์ด๋ฅผ ์ด์šฉํ•œ ์น˜์•„ ๋ฐ ์น˜์ฃผ์กฐ์ง์˜ ์žฌ์ƒ์— ๋Œ€ํ•œ ์—ฐ๊ตฌ๊ฐ€ ๋งŽ์ด ์ง„ํ–‰๋˜์–ด ์™”๋‹ค. ๋” ๋‚˜์•„๊ฐ€ ์ค„๊ธฐ์„ธํฌ์˜ ๋ถ„ํ™” ๋ฐ ์น˜์ฃผ์กฐ์ง์˜ ์žฌ์ƒ์„ ์ด‰์ง„ํ•˜๋Š” ์ธ์ž๋“ค, ํŠนํžˆ ๋ถ€์ž‘์šฉ์ด๋‚˜ ๋…์„ฑ์ด ์ ์€ ์ฒœ์—ฐ๋ฌผ์— ๋Œ€ํ•œ ์—ฐ๊ตฌ๋„ ํ™œ๋ฐœํ•˜๊ฒŒ ์ด๋ฃจ์–ด์ง€๊ณ  ์žˆ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉํ•œ ๊ฐํƒœ๋Š” ๋‹ค์‹œ๋งˆ๋ชฉ ๋ฏธ์—ญ๊ณผ์˜ ๊ฐˆ์กฐ๋ฅ˜๋กœ ์šฐ๋ฆฌ๋‚˜๋ผ ๋™ํ•ด์•ˆ๊ณผ ์ œ์ฃผ๋„ ๊ทผํ•ด์— ๋„๋ฆฌ ์ž์ƒํ•˜๊ณ  ์žˆ๋‹ค. ํ˜„์žฌ๊นŒ์ง€ ๋ณด๊ณ ๋œ ๊ฐํƒœ์— ๋Œ€ํ•œ ์—ฐ๊ตฌ๋กœ๋Š” ํ•ญ์‚ฐํ™”, ํ•ญ์—ผ์ฆ, ํ•ญ์•”, ํ•ญ๊ณ ํ˜ˆ์•• ๋ฐ ํ•ญ๋‹น๋‡จ ํšจ๋Šฅ ๋“ฑ์ด ๋ณด๊ณ ๋˜์–ด์™”์ง€๋งŒ ์‚ฌ๋žŒ์น˜์•„์ค„๊ธฐ์„ธํฌ์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์— ๋Œ€ํ•œ ์—ฐ๊ตฌ๋Š” ์ด๋ฃจ์–ด์ง„ ๋ฐ”๊ฐ€ ์—†์–ด ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์ด ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ์— ์–ด๋– ํ•œ ์˜ํ–ฅ์„ ์ฃผ๋Š”์ง€ ์•Œ์•„๋ณด๊ณ ์ž ํ•œ๋‹ค. ์„ฑ์ธ ๋ฏธ์„ฑ์ˆ™ ์ œ3๋Œ€๊ตฌ์น˜๋กœ๋ถ€ํ„ฐ ์ถ”์ถœํ•œ ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ๋ฅผ ๋ฐฐ์–‘ํ•œ ๋’ค ์ค‘๊ฐ„์—ฝ ์ค„๊ธฐ์„ธํฌ์˜ ํ‘œ์ง€์ž ํ™•์ธ์„ ์œ„ํ•ด ์œ ์„ธํฌ๋ถ„์„๋ฒ•์„ ์‹œํ–‰ํ•˜์˜€๋‹ค. ์ถ”์ถœ๋œ ์„ธํฌ๋ฅผ ๊ณจ์•„์„ธํฌ, ์ง€๋ฐฉ์„ธํฌ, ์—ฐ๊ณจ์„ธํฌ๋กœ ๋ถ„ํ™”์‹œํ‚จ ํ›„ ๊ฐ๊ฐ์˜ ์—ผ์ƒ‰์„ ์‹œํ–‰ํ•˜์—ฌ ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ์˜ ๋‹ค๋ถ„ํ™”๋Šฅ๋ ฅ์„ ํ™•์ธํ•˜์˜€๋‹ค. ์„ธํฌ ์ฆ์‹ ๋ฐ ๋…์„ฑ์— ๋Œ€ํ•œ ์˜ํ–ฅ์„ ์กฐ์‚ฌํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์„ ๋†๋„๋ณ„๋กœ ์ฒ˜๋ฆฌํ•˜์—ฌ 1์ผ, 3์ผ ๋ฐ 7์ผ ๋™์•ˆ ๋ฐฐ์–‘ํ•œ ํ›„ ์„ธํฌ ์ƒ์กด๋Šฅ ๋ถ„์„์„ ์‹œํ–‰ํ•˜์˜€๋‹ค. ์ ์ • ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์˜ ๋†๋„๋ฅผ ํ™•์ธํ•œ ํ›„ ๊ณจ๋ถ„ํ™”๊ฐ€ ์œ ๋„๋œ ์„ธํฌ๋ฅผ ๋Œ€์ƒ์œผ๋กœ quantitative RT-PCR์„ ํ†ตํ•ด ์กฐ๊ณจ์„ธํฌ ๋ถ„ํ™” ์œ ์ „์ž์ธ Col1, ALP, OPN, OCN ๋ฐ Runx2์˜ ๋ฐœํ˜„ ์ •๋„ ๋ฐ Western blot์œผ๋กœ OCN, OPN, Col1 ๋ฐ Runx2 ๋‹จ๋ฐฑ์งˆ ๋ฐœํ˜„ ์ •๋„๋ฅผ ํ™•์ธํ•˜์˜€๋‹ค. ๋˜ํ•œ Western blot์œผ๋กœ Smad4, p-Smad2/3, p-38, p38, p-ERK1/2 ๋ฐ ERK1/2์˜ ๋ฐœํ˜„ ์ •๋„๋ฅผ ์ธก์ •ํ•จ์œผ๋กœ์จ ๊ฐํƒœ ์ถ”์ถœ๋ฌผ ์ฒ˜๋ฆฌ ํ›„ ๊ณจํ˜•์„ฑ ๋ถ„ํ™” ๊ณผ์ •์˜ ๊ธฐ๋ณธ์ด ๋˜๋Š” ๋ฉ”์ปค๋‹ˆ์ฆ˜์„ ์กฐ์‚ฌํ•˜์˜€๋‹ค. ์ฒด๋‚ด์—์„œ์˜ ๋ถ„ํ™”๋ฅผ ํ™•์ธํ•˜๊ธฐ ์œ„ํ•ด ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ๋ฅผ HA/TCP์™€ ํ˜ผํ•ฉํ•˜์—ฌ ๋ฉด์—ญ ์–ต์ œ๋œ ์ฅ์˜ ๋“ฑ์— 10์ฃผ ๋™์•ˆ ์ด์‹ํ•˜์˜€๋‹ค. ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์— ์˜ํ•œ ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ์˜ ๊ณจ๋ถ„ํ™”๋ฅผ ์กฐ์‚ฌํ•˜๊ธฐ ์œ„ํ•ด ์กฐ์งํ•™์  ๋ถ„์„๊ณผ ๋ฉด์—ญ์กฐ์งํ™”ํ•™๋ฒ•์„ ์ด์šฉํ•œ ๋ถ„์„์„ ์‹œํ–‰ํ•˜์˜€๋‹ค. ์œ ์„ธํฌ๋ถ„์„๋ฒ•์„ ํ†ตํ•ด ์„ฑ์ธ ๋ฏธ์„ฑ์ˆ™ ์ œ3๋Œ€๊ตฌ์น˜๋กœ๋ถ€ํ„ฐ ์ถ”์ถœํ•œ ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ๊ฐ€ ์ค‘๊ฐ„์—ฝ ์œ ๋ž˜ ์ค„๊ธฐ์„ธํฌ์˜ ํŠน์ง•์„ ๊ฐ–๊ณ  ์žˆ๊ณ  ๋˜ํ•œ Alizarin Red S ์—ผ์ƒ‰, Alcian Blue ์—ผ์ƒ‰, Oil Red O ์—ผ์ƒ‰์„ ํ†ตํ•ด ๊ณจ์กฐ์ง, ์—ฐ๊ณจ์กฐ์ง, ์ง€๋ฐฉ์กฐ์ง์œผ๋กœ ๋ถ„ํ™”๊ฐ€ ๊ฐ€๋Šฅํ•œ ๊ฒƒ์„ ํ™•์ธํ•˜์˜€๋‹ค. ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์„ ๋†๋„๋ณ„๋กœ ์ฒ˜๋ฆฌํ•˜์˜€์„ ๋•Œ ๋ฐฐ์–‘ 1์ผ ๋ฐ 3์ผ ํ›„์—๋Š” ์„ธํฌ ๋…์„ฑ์ด ๋‚˜ํƒ€๋‚˜์ง€ ์•Š์•˜์œผ๋ฉฐ ๋ฐฐ์–‘ 7์ผ์—์„œ๋Š” 100 ฮผg/ml ๋†๋„๋ถ€ํ„ฐ ์„ธํฌ ๋…์„ฑ์ด ๋‚˜ํƒ€๋‚˜๋Š” ๊ฒƒ์œผ๋กœ ๊ด€์ฐฐ๋˜์—ˆ๋‹ค. Quantitative RT-PCR์„ ํ†ตํ•ด ๊ฐํƒœ ์ถ”์ถœ๋ฌผ ์ฒ˜๋ฆฌ๊ตฐ์—์„œ ALP, Col1, OCN, OPN ๋ฐ Runx2์˜ ๋ฐœํ˜„์ด ์ฒ˜๋ฆฌ๋˜์ง€ ์•Š์€ ๊ตฐ์— ๋น„ํ•ด ์ฆ๊ฐ€ํ•˜๊ณ , OCN, OPN, Col1 ๋ฐ Runx2์˜ ๋‹จ๋ฐฑ์งˆ ๋ฐœํ˜„๋„ ์ฆ๊ฐ€ํ•จ์„ ๋ณด์—ฌ ์ฃผ์—ˆ๋‹ค. ๋˜ํ•œ, Western blot ๋ถ„์„์€ ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์ด p38 ๋ฐ ERK1/2 ์‹ ํ˜ธ ๊ฒฝ๋กœ์˜ ํ™œ์„ฑํ™”์— ์˜ํ•ด ๊ณจํ˜•์„ฑ์„ ์œ ๋„ ํ•  ์ˆ˜ ์žˆ์Œ์„ ์ž…์ฆ ํ•˜์˜€๋‹ค.๋ฉด์—ญ ์–ต์ œ๋œ ์ฅ๋ฅผ ์ด์šฉํ•œ ์ƒ์ฒด๋‚ด ์‹คํ—˜์—์„œ H&E ์—ผ์ƒ‰์„ ์‚ฌ์šฉํ•œ ์กฐ์งํ•™์  ๋ถ„์„์€ ๊ฐํƒœ ์ถ”์ถœ๋ฌผ ์ฒ˜๋ฆฌ ๊ตฐ์—์„œ ๋ผˆ-์œ ์‚ฌ ์กฐ์ง์ธต์˜ ๋ฉด์ ์ด ์ฆ๊ฐ€ํ•œ ๊ฒƒ์œผ๋กœ ๋‚˜ํƒ€๋‚ฌ๊ณ , ๋ฉด์—ญ์กฐ์งํ™”ํ•™ ๋ถ„์„์€ OSX, OPN ๋ฐ OCN ๋ฐœํ˜„์˜ ์ฆ๊ฐ€๋กœ ๋ผˆ-์œ ์‚ฌ ์กฐ์ง์˜ ์ƒ์„ฑ์„ ํ™•์ธํ•˜์˜€๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ์ƒ์ฒด์™ธ ๋ฐ ์ƒ์ฒด๋‚ด ์‹คํ—˜์„ ํ†ตํ•˜์—ฌ ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์ด ์‚ฌ๋žŒ ์น˜์ฃผ์ธ๋Œ€ ์ค„๊ธฐ์„ธํฌ์˜ ๊ณจ๋ถ„ํ™”๋ฅผ ์ด‰์ง„ํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•˜์˜€๋‹ค. ๊ฒฐ๋ก ์ ์œผ๋กœ ์ด ์‹คํ—˜์˜ ์ž„์ƒ์  ์˜๋ฏธ๋Š” ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์€ ์น˜์กฐ๊ณจ ์žฌ์ƒ์— ํšจ๊ณผ์ ์ธ ์˜ํ–ฅ์„ ๋ฏธ์น  ๊ฒƒ์œผ๋กœ ์‚ฌ๋ฃŒ๋˜๋ฉฐ ํ–ฅํ›„ ๊ฐํƒœ ์ถ”์ถœ๋ฌผ์˜ ์ •ํ™•ํ•œ ์ž‘์šฉ๊ธฐ์ „ ๋ฐ ์ƒ์ฒด ์ด์šฉ๋ฅ ์„ ๋ฐํžˆ๊ธฐ ์œ„ํ•œ ์ถ”๊ฐ€ ์—ฐ๊ตฌ๊ฐ€ ํ•„์š”ํ•  ๊ฒƒ์œผ๋กœ ์ƒ๊ฐ๋œ๋‹ค.I. Introduction 1 II. Materials and Methods 5 III. Results 14 IV. Discussion 18 V. Conclusion 25 References 26 Table 34 Figures 35 Abstract in Korean 45Docto

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    Using a quasi-experimental design, with pretest and posttest measures with multiple probes, the effects of divergent thinking training (with explicit instruction) on creative worksheets, the Torrance Tests of Creative Thinking (TTCT; Torrance, 1990) and story-based problem solving tasks (Realistic Story Telling Problems Activity) were investigated. Explicit instructions for originality enhanced the originality scores on figural creative worksheets and explicit instructions for fluency enhanced the fluency scores on both figural and verbal creative worksheets for experimental group members (n = 15). In addition, experimental group members made significant gains on originality scores on the TTCT (p. \u3c .05), Problem Solving (p. \u3c .05) tasks from the Realistic Story Telling Problems, fluency scores on the TTCT (p. \u3c .001), and Problem Identification (p. \u3c .05) and Problem Solving (p. \u3c .05) tasks from Realistic Story Telling Problems; control group members (n = 15) did not. Implications of the findings of this study are discussed

    The effect of computer-mediated communication (CMC) interaction on L2 vocabulary acquisition: A comparison study of CMC interaction and face-to-face interaction

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    This study investigates the differential effects of CMC interaction (both text-chat and voice-chat) and face-to-face interactions on university level of ESL students\u27 vocabulary acquisition. More specifically, this study examines (a) whether learners engage in negotiated interaction when they encounter new lexical items, (b) whether CMC interaction help learners acquire new lexical items productively, (c) whether there are any special features related to negotiation routines in the most acquired words and the least acquired words, and (d) whether ESL students find CMC interaction helpful for their English learning. The participants consisted of 12 (6 male, 6 female) international students and visiting scholars at Iowa State University. The research design included a pre-test, a treatment activity, an immediate post-test, and a 1 week delayed post-test. The pre-test containing 24 vocabulary whose referents were auto parts items was given to choose the target lexical items. The type of treatment activity used in this study was an information-gap activity in which the students were required to request and obtain information from each other to complete the task. Two post-tests (immediate and delayed) were administered to assess the acquisition of new lexical items. The immediate and delayed post-tests were offered to students on the treatment day and 1 week after the initial treatment. Finally, a follow-up survey from each participant in CMC interaction group was also used to determine the strengths and weaknesses of computer-assisted language learning (CALL) task and the drawbacks or advantages of using such activities for language learning. The results showed that all ESL learners in both CMC and face-to-face interaction negotiated to complete their tasks, and all of the twelve target lexical items prompted negotiation for all of the dyads. Moreover, the results revealed that the students in all three groups recalled more than half of the previously unknown target lexical items in the immediate post-test and delayed post-test. For both productive oral and written acquisition, the results revealed that all three conditions seem to facilitate the acquisition of L2 words, as well as to ensure a good level of retention. However, there were no statistically significant differences between groups and posttests. Thus, meaning negotiation during computer-mediated and face-to-face interaction seems to promote both oral and written acquisition of L2 vocabulary. In addition, the results indicated that students tended to acquire new lexical items when they had some background knowledge about the target words or they were negotiating both form and meaning with their partners. A follow-up survey data showed that most of the students in both text-chat and voice-chat CMC interaction group had a positive attitude towards this type of activity in online, and they found synchronous chat as an interesting and helpful way of English learning

    On the linear convergence of additive Schwarz methods for the pp-Laplacian

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    We consider additive Schwarz methods for boundary value problems involving the pp-Laplacian. While the existing theoretical estimates for the convergence rate of additive Schwarz methods for the pp-Laplacian are sublinear, the actual convergence rate observed by numerical experiments is linear. In this paper, we bridge the gap between these theoretical and numerical results by analyzing the linear convergence rate of additive Schwarz methods for the pp-Laplacian. In order to estimate the linear convergence rate of the methods, we present two essential components. Firstly, we present a new abstract convergence theory of additive Schwarz methods written in terms of a quasi-norm. This quasi-norm exhibits behavior similar to the Bregman distance of the convex energy functional associated to the problem. Secondly, we provide a quasi-norm version of the Poincar'{e}--Friedrichs inequality, which is essential for deriving a quasi-norm stable decomposition for a two-level domain decomposition setting.Comment: 23 pages, 2 figure

    Numerical analysis of high-index nanocomposite encapsulant for light-emitting diodes

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    We used two-dimensional Finte-Difference-Time-Domain (FDTD) software to study the transition behavior of nano-particles from scatterers to an optically uniform medium. We measured the transmission efficiency of the dipole source, which is located in the high refractive index medium(index=2.00) and encapsulated by low index resin(index=1.41). In an effort to compose index-matched resin and to reduce internal reflection, high-index nano-particles are added to low-index resin in simulations of various sizes and densities. As the size of the nano-particles and the average spacing between particles are reduced to 0.02 lambda and 0.07 lambda respectively, the transmission efficiency improves two-fold compared to that without nanoparticles. The numerical results can be used to understand the optical behavior of nano-particles and to improve the extraction efficiency of high brightness light-emitting-diodes(LEDs), through the use of nano-composite encapsulant.Comment: 9 pages, 5 jpg figure

    Optimisation of pipeline route in the presence of obstacles based on a least cost path algorithm and laplacian smoothing

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    Subsea pipeline route design is a crucial task for the offshore oil and gas industry, and the route selected can significantly affect the success or failure of an offshore project. Thus, it is essential to design pipeline routes to be eco-friendly, economical and safe. Obstacle avoidance is one of the main problems that affect pipeline route selection. In this study, we propose a technique for designing an automatic obstacle avoidance. The Laplacian smoothing algorithm was used to make automatically generated pipeline routes fairer. The algorithms were fast and the method was shown to be effective and easy to use in a simple set of case studies
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