全國中小學科展

一等獎

層出不窮的彩蛋有「心」「跡」—圓內接與外切多邊形及其遞延圖形性質探討

本研究從Brianchon定理「圓外切六邊形三條對角線共點」以及Pascal定理「圓內接六邊形三組對邊延長線交點共線」,這兩個對偶定理出發,試圖以雙心六邊形串連兩個定理,讓Pascal (1623–1662)及Brianchon (1785–1864)兩位法國數學家「相遇在21世紀」。本研究除了探討雙心六邊形的共點共線問題外,更進一步研究其共點共線圖形的軌跡。研究有更驚人的發現:雙心六邊形將各邊延長取交點,其所形成的新六邊形同時內接於一條圓錐曲線,外接於另一條圓錐曲線。

Smart Washer

Data and records show accidents caused by loose bolts or nuts often occur in building or mechanical structures all over the world. They may be train derailments, parts falling off amusement rides, escalator breakdowns or wheels coming off automobiles. These incidents can often cause serious casualties and should not be ignored. At present, the only devices used to prevent screws loose are spring washer and nylon locking nuts, but they are not readily detectable with the naked eye when they failed to tighten. Based on simple mechanics and spring principled, our “Smart Washer” has been designed to detect loosen screws. Whenever the bolt or nut gets even slightly loose, the lower part of the washer will spring up, this is a sign to alert and remind the user to carry out maintenance and re-tighten the loosen screw before serious accidents occur.

高產率奈米泡泡製備及其尺寸效應之探討

本研究提供一種低成本且高產率的奈米泡泡製備方法,我們以去離子水注入氮氣製程製備成溶液,再藉超音波震洗機(sonicator)高速振動來製備奈米泡泡。在實驗中我們藉由控制不同的震動時間及實驗參數,可製作出不同尺寸的奈米泡泡,藉此可找出奈米泡泡的臨界尺寸。藉由這種方法我們可成功製作出100nm以下的奈米泡泡。另外我們發現隨著振動時間增加,泡泡的尺寸會逐漸減少,呈現明顯且有趣的尺寸效應變化。實驗結果顯示以當離子水溶液以氮氣飽和20分鐘並以超音波振動30分鐘時,可製作出最小臨界尺寸為23nm的奈米泡泡,此一奈米泡泡尺寸為目前所觀察到最小尺寸的奈米泡泡。我們也對不同實驗條件下所觀察到的尺寸效應,提出分析及探討,以期未來能對奈米泡泡的尺寸現象有更多瞭解。而利用此一方法來製作奈米泡泡有別於傳統方法,除了可製作出高產率且高穩定性的奈米泡泡之外,更可進一步改善一般傳統方法製作泡泡因為表面張力造成的影響,其泡泡尺寸只能達到微米(10-6)等級。而我們的方法可將泡泡的尺寸縮小至數十奈米等級,將有助於未來奈米泡泡於生化領域以及醫學上的廣泛應用。

魚能發電之開發及應用

「魚能發電」是全新的能量擷取研究,讓魚類游動變成電能。海洋魚類生態研究著重在魚類追蹤,傳統追蹤器受限於電池容量無法長期追蹤,故以魚類追蹤器為目標,以流體分析軟體ANSYS模擬三維流場不同水流速度與形變量,找出追蹤器的最佳設計為前端鈍體為「正三角柱加尾翼」。 透過自製大型文氏管,將迴流水槽原僅每秒0.6公尺流速提高9倍達每秒5.37公尺,是目前台灣壓電發電水流實驗的最高流速。並透過快速傅利葉轉換及自製微電能整流儲能模組,獲得水流速度之頻率特性、發電量上升率,得到許多寶貴的研究數據。 本研究提出創新的壓電陶瓷軟性固定法,有效解決傳統迫緊固定易斷裂及防水問題,讓壓電陶瓷能應用在「魚能發電」;亦自製微電能整流儲能模組量測電能、仿魚尾鰭之不對稱尾翼,獲得最高發電量10μW,是魚類生態追縱新里程碑。

以分頻多工及交流差動磁場強度為基礎之定位系統應用於無人飛行器控制系統的研究

本研究提出一套創新的定位系統,僅需設置單一已知參考點即能達成高精確度的定位,由該參考點上的兩個永久磁鐵的靜磁場轉換成時變場型之交流磁場,再透過分頻多工的數位訊號處理,分離出這兩個磁場源之差動磁場強度及其相位,以求得物體的位置資訊,達成不受空間中的多重路徑干擾及障礙物影響的精確定位。透過實驗證明,本套系統在實驗設定下具有10公分以內的定位精準度,同時可以支援微型無人飛行器的即時定位,對於未來各種行動裝置、穿戴科技與自動控制系統之定位需求,可提供具體的貢獻。

Discovery, Cloning and Recombinant Expression of a Coral Peptide with anti-Bacteria activity

Inflammatory Bowel Disease (IBD) is a prevalent disease of the West which pathogenesis is driven by a combination interaction between bacteria and inflammatory cells. In this study, two Kazal domain peptide from Palythoa Caribaeorum were identified. They were found to exhibit serine protease inhibitory, anti-bacterial effects and low toxicity, making them ideal candidates for IBD treatment due to their ability to inhibit inflammatory cell migration and bacterial load. We amplified their coding DNA sequences via PCR and ligated the resulting PCR product into pGEX-4T3 vector. The recombinant plasmid was verified by sequencing, and restriction digest before being transformed into competent E.coli cells. Following transformation, we induced target peptides expression by IPTG to confirmed successful transformation and peptide production. Selected transformed bacterial colonies were expanded in LB broth before mixing with glycerol and frozen in -80°C freezer to complete the process of cell bank production.

一種新的圖形導覽介面

利用電腦瀏覽圖形式資訊的時候,常受到螢幕空間大小的限制,沒有辦法在顯示圖形整體結構的同時也顯示細節部分。超廣角鏡頭是一種短焦距、大視角的相機鏡頭,鏡頭成像的時候,會有中間部分放大而周邊部分縮小的情形,藉由這個特性,我們發展出了一種新的圖形導覽介面,在瀏覽圖形式資訊的時候,有個圓形區域,該區域可隨著使用者的意願而自由移動,而區域內的圖形是以模擬超廣角鏡頭成像的方式呈現,且能夠與圓形區域外的圖形做銜接,如此,在瀏覽圖形式資訊的時候,除能夠顯示整體的結構外,也可以不開啟新視窗及無遮蔽的方式,即時地將想要觀察的部分做局部放大以展現細節。

Investigation of the Role of Mammalian Siderophore 2,5-DHBA in Neurodegeneration

Lipocalin 2 (LCN2), a 25-kDa secreted protein that belongs to the lipocalin family, is known to bind to a class of bacterial Fe-binding molecules known as siderophores. Iron is essential for bacterial growth. To obtain iron from host cells, bacteria produce siderophores, such as Enterochelin (Ent), to bind and transport host iron into the bacterial cell. In response, the host produces LCN2 to bind the iron-laden enterochelin, forming the tricomplex, LCN2: Ent: Fe3+. This inhibits bacterial growth as iron has been sequestered by LCN2. Devireddy et.al. 2005, proposed the binding of the tricomplex, LCN2: Ent: Fe3+ with the LCN2 receptor (LCN2R). This resulted in the internalisation of the complex, releasing the bound iron into the cell. The increase of intracellular iron was reported to cause cell mortality. Recent publications postulated 2,5-dihydroxybenzoic acid (2,5-DHBA) to be an endogenous mammalian siderophore homologue in mouse in vivo and in vitro studies, which could sequester LCN2 and iron. High iron concentrations in the brain have been consistently observed in Alzheimer's disease and Parkinson's disease. Accumulation of intracellular iron is known to be toxic to neurons, resulting in neurodegeneration. Hence, this study aims to determine the role of 2,5-DHBA as the mammalian siderophore in a cell culture model of neurodegeneration. We hypothesise that addition of 2,5-DHBA to cells exposed to LCN2 will result in increased iron uptake into neuronal cells, reducing cell viability. SH-SY5Y (human neuroblastoma) cell line was used in our study. To determine if SH-SY5Y is a suitable cell line, endogenous levels of LCN2 and LCN2R mRNA and protein expression were determined using reverse transcription-polymerase chain reaction (RT-PCR) and Western Blot analysis respectively. Preliminary results showed presence of both the LCN2R mRNA and protein but absence of LCN2 mRNA. This could be due to the low expression of LCN2 when not exposed to stress. Hence, to simulate conditions of neurodegeneration (by inducing high expression of LCN2), SH-SY5Y was treated with Kainic Acid (KA). After KA, LCN2 mRNA and protein expression levels will be detected again. With the successful upregulation of LCN2 gene expression, SH-SY5Y will be treated with 2,5-DHBA with KA treatment to determine cell viability using the MTS cell proliferation assay. A decreased cell viability or increased expression of pro-apoptotic genes would support the function of 2,5-DHBA as a mammalian siderophore in the brain. Furthermore, KA treatment can also be applied to microglial or astrocyte cell lines, which are known to secrete high levels of LCN2 when treated with KA. Co-culturing these cells with SH-SY5Y can allow us to study the downstream effects of secreted LCN2 from glial cells binding to the LCN2R receptors on SH-SY5Y neuronal cells. This study will help to further understanding of the relationship between 2,5-DHBA and cellular iron transport. If 2,5-DHBA is able to bind LCN2 and iron to increase intracellular iron levels in the neuronal cells, the formation of the tricomplex, LCN2: 2,5-DHBA: Fe3+, could be targeted for therapeutic interventions in neurodegenerative diseases by reducing intracellular iron levels to help ameliorate the progression of neurodegenerative diseases.

冰與火的吶喊-2010年冰島艾雅法拉火山爆發對大氣對流層的影響

我們使用福爾摩沙衛星三號在冰島艾雅法拉火山2010年爆發期間(2010年3月5日~4月29日)測得的大氣資料,討論火山爆發對大氣對流層溫度變化的影響。初步獲得以下結論: 火山噴發能量大小與大氣層對流層頂降溫溫差成正比;火山噴發能量小,對流層溫度變化的影響多發生在低空處、火山噴發能量大,對大氣溫度影響高度偏高;以及火山噴發持續時間對溫度的影響也成正比關係。此外還討論了火山灰雲的分布影響溫度的變化情形:在迎風處火山灰雲聚集,其聚集處陽光被遮擋了,無法照射到地表,因此溫度較低。

用於機器人空間建模的仿生認知系統

本研究提出一可用於機器人空間探勘與辨識的仿生機器學習系統。本系統模仿生物大腦的層級性結構,各層級間透過雙向連結進行搜尋辨識與提示,並記憶空間中的感官、場景和位置資訊,分別由以下部分構成: 1. 感官細胞:辨識特定感官輸入類別。 2. 場景基模細胞:組合具方向性的感官細胞數據。 3. 網格細胞:接收移動數據的內在座標系統。 4. 位置細胞:整合感官數據與空間數據、建立拓樸空間認知地圖。 經模擬實驗證明,本系統能在第一次探勘時建立空間認知地圖,並於再次造訪時成功匹配位置細胞進行定位。本系統有異地探勘、在複雜空間中進行路徑與任務規劃等廣泛應用。