一等獎

本研究利用蛋白質的環保、生物活性，金奈米粒子的低毒性，及蛋白質金奈米粒子的螢光特性，合成可應用於生物體內之螢光蛋白質金奈米粒子，從而利於標靶藥物研究。本研究選擇與眾多疾病相關的胰島素，以最佳方式合成紅色螢光胰島素金奈米粒子，有助於探討糖尿病相關機制。並嘗試以養晶得到結晶狀的胰島素金奈米粒子；經由離子測試發現胰島素金奈米粒子十分穩定，更可應用於細胞內微量氰離子檢測；根據CD光譜，確認胰島素金奈米粒子與胰島素的蛋白質二級結構相似。之後利用MTT測試細胞毒性，並將胰島素金奈米粒子餵入細胞，並取得細胞螢光影像，證明胰島素金奈米粒子可經由細胞表面之胰島素受體進入細胞內，且呈現紅色螢光，證明胰島素金奈米粒子可用於生物體內顯影追蹤。利用老鼠實驗證明胰島素金奈米粒子具有胰島素降血糖之功用。

聚丙烯酸是尿布中吸水成份，若被隨地丟棄勢必對環境造成污染。分析其結構，由於存在對重金屬離子具螯合作用的羧基，因此，可用於捕捉重金屬離子，作為偵測污水離子的利器。另外，若將螯合的銀離子以化學還原法製成奈米銀，將可應用於抗菌。研究結果有： \r (1)PAA對Mn、Fe、Co、Ni、Cu、Zn、Ag等離子具有明顯螯合效果。 \r (2)螯合反應：PAA＋Mn＋ [PAA-M]n－x＋xH＋，其可利用濃鹽酸使其再生。 \r (3)螯合能力以Fe3+最強，Zn2+(Mn2+)較弱。 \r (4)螯合離子的最小極限為10-3(M)，我們採樣的廢水有重金屬污染，推測濃度大於10－3(M)。 \r (5)成功將螯合的Ag＋製成奈米銀，為金黃色，屬於球形銀，甲醛濃度愈高，奈米粒徑愈小。 \r (6)奈米銀與銀離子在抗菌上的確有明顯效果，帄均粒徑小，抗菌效果越強。

在數學課堂中，老師拋出一道甄試的口試題目，那是一道有關蟲類繁殖過程\r 中，探討子代存在位置及其規律性的題目。此問題引起我們繼續討論的興趣，並\r 試著應用至「一路領先」問題。我們試著改變其形狀來構造「一路領先」的路徑，\r 再擴張其維度來解決任一人數「一路領先」的問題！\r 由於發現Motzkin 數列和三人「一路領先」給定得票數的情況一一對應，我們\r 找到一種對應方法，將Motzkin 路徑和「一路領先」得票過程做一對一的對應！以\r Motzkin 路徑和三人「一路領先」為基礎，我們構造了「立體Motzkin 」，發現其\r 路徑走法數竟和五人「一路領先」得票過程總方法數完全相同！若限制向量(1,0,0)\r 只能出現在xy 平面上，則和四人「一路領先」得票過程一一對應！當我們在網路\r 上搜尋資料時，發現有一種lattice path 的規則和四人「一路領先」的方法數完全\r 一樣！我們一樣找到一種對應規則，讓此走法和四人「一路領先」得票過程一一\r 對應！\r 架構出「立體Motzkin 」後，我們試著架構「n維Motzkin」，發現給定有規律\r 的(2n ?1) 個n維向量，就可以構造出n人的「一路領先」！此方法對解決lattice path\r 和投票問題等有顯著的幫助！

吹長笛時，按同一按鍵，以大小不同的力量去吹，會引發不同頻率的泛音，而通常越用力吹，引發泛音的頻率越高，所以我們想了解為什麼越用力，泛音的頻率會高，其間的關係究竟是什麼？風經過管口會產生各種頻率的噪音，其中某些特定頻率的聲音會因為會在管內形成駐波而放大，所以我們只能聽到某些特定頻率的聲音。當風速增加時，會在管口形成渦漩逸放的紊流現象。其渦漩頻率與流速成正比（註一）。我們以塑膠管實驗。發現以特定的風速引發該基音後，繼續增加風速，當風速達某一定強度時，才會躍遷為下一個泛音的頻率。這個現象告訴我們：在一封閉管下，風速與泛音的關係並非「線性遞增」，而是越「躍遷遞增」的關係。另一個實驗測量不同管長、其諧音之頻率的關係，我們可以得知，越短的管子，因為相鄰兩泛音間頻率差較大，越不易激發更高階泛音。經由這些實驗結果，我們能夠推論：當管子越長、基音頻率越低時，諧音間頻率的差距相對越小，繪出的風速－頻率關係圖應更加顯示了風速與頻率呈正比關係。未來我們可以以閃頻器觀測紊流渦漩的產生，再變化至不同吹入角度，及各式管口造形，這些實驗能協助我們更進一步了解樂器的發聲原理，甚至開發一個以聲音頻率測量風速的儀器。註一：林婉如、張?文2006 國際科工程組佳作作品。When we press the same key and blow a flute using different strengths, we can get different overtones. Usually, the harder we blow the flute, the high the frequency we get. We want to understand why we get a higher frequency when we blow harder into the flute and to understand the relationship between them. When wind passes through the mouthpiece, many kinds of noises will be produced. Some of the frequencies will expand because they will form standing waves in the tube. Therefore, we can only hear certain frequencies. As wind speed increases, a turbulence of the vortex shedding will be formed. The frequency of the vortex shedding and wind speed will be in a direct ratio. We experiment with plastic tubes. When we increase the wind speed and get certain magnitudes, the frequency will jump to the next overtone. The phenomenon shows that the relation, in a closed tube, between wind speed and harmonics is not a linear increase but a transition increase. In another experiment, we measured the relationship between wind speed and different lengths of tubes. We can infer that the shorter the tube, the higher high-frequency harmonics can be produced. Through these experiments, we come to the conclusion that the longer the tube, the lower frequency of the fundamental tone we get and the discrepancy in frequency between harmonics is smaller. Then we make a diagram between wind speed and frequency that indicates that there is a direct ratio between wind speed and frequency. In the future, we can use “” to observe the production of turbulence. Then we can switch to different angles when we blow into flutes. Otherwise, we can experiment with different shapes of mouthpieces. These experiments can assist us to understand more how the instrument sounds. We can develop a device measuring wind speed with frequency.

政府最近公佈在東沙群島設立第一個國家海洋公園，顯示國人重視海洋資源的保育與復育；但是東沙島特殊的自然景觀「會擺動的沙嘴」—龍擺尾，卻因興建八座消波塊構築的突堤而消散停擺。本研究以一個高中生的觀點，設計及進行一系列的模型實驗，探討東沙島的形成機制、各種環境因素對海灘及龍擺尾的演化、驗證龍擺尾的現況及如何讓龍擺尾復活，再由東沙島海灘復育看世界的海岸問題。雖然設備很克難，但都能完成預定的目標，證實東沙島的海灘演化。希望此次對東沙島海灘的研究成果與初步探討，能應用於世界上遭受侵蝕而需復育的海岸。In 2007, our government proclaimed Dongsha archipelago as the first national marine park, signifying her emphasis on the conservation and restoration of marine resources. However, the sand spit on Dongsha island, a unique natural wonder commonly referred to as the “swaying dragon tail”, has become motionless since the construction of a total of eight groins along its SE and NE coast during the period between 1993 and 1996. This study has conducted a series of model experiments to verify several fundamental issues, ranging from the formation and the factors affecting the stability and the status quo of Dongsha island and its spit. The experimental results find several favorably outcomes, giving the coast evolving evidences of Dongsha island. Furthermore, strategy to stabilize the coast and revitalize the spit are then considered, which could hopefully benefit the coast suffering erosion on the world’s coastline.

本研究的目的在觀察液滴的蒸發過程，探討影響一滴蒸發方式改變的變因。我們利用數位攝影機外加近攝鏡頭，由側面逆光拍攝液滴蒸發過程，並轉錄成電子檔利用電腦協助分析。液滴影像分隔放大投影在方格紙上，以便測量接觸角及高度的變化。結果發現蒸發情形可分為三種：Ⅰ.當接觸角大於九十度時，液滴和界面的接觸線迅速外擴，直到接觸角遞減至90度後定住不動，蒸發終了時，接觸線迅速內縮，留下縮小的實心殘跡。Ⅱ. 當接觸角小於九十度時，接觸線先些微外擴迅速外擴，之後定住不動，直到蒸發終點，液體內縮，留下環狀殘跡。Ⅲ.當接觸角小等於九十度時，接觸線始終定住不變，液滴蒸發後留下原大小的實心班跡。液滴蒸發時接觸角和高度並不是連續變化，而是交互階梯式遞減。本研究的結果可應用在探討噴漆及噴墨印表機的噴墨印刷上。The objective of this investigation is to observe the evaporation of liquid drop and find out the factors that could affect it. A digital camera with micro lens is used to film the process of the evaporation. And a close-up of the sample drop is taken with backlight. The results are analyzed with a personal computer. The magnified images of the drops are projected on grid papers for measuring the changes on contact angles, and heights of drops. We classify the evaporation of a drop into three types: Ⅰ. The contact angle is greater than 90 degrees. At first, the contact line will spread outwardly till the contact angle decrease to the 90 degrees and then be pinned until the evaporation reach its terminal. At last the contact line quickly contract inwardly, and a solid stain remain. Ⅱ. The contact angle is less than 90 degrees. The contact line will spread slightly and then be pinned. At the terminal the liquid contract inward, and a ring-like stain is formed. Ⅲ. The contact angle is equal to 90 degrees. The contact line will always be pinned, and no ring, but spot stain is left. During the evaporation, we discover that the contact angle and the height of the drop do not change continuously but alternatively decrease by steps. The results of our investigation can be applied to the aspects of paint-spraying and jet printers.

This research tries to find out how changes of weight or proportion of a reactor would affect the type and structure of a crystal. In the experiment, the Hydrothermal reaction was adopted to conduct the syntheses of Vanadium-substituted Gallium Phosphates and try to pick up the single crystal to collect data with SXRD for further illustrating the crystal structure with diamond software to know well its nature. The research result finds out a new type of crystal unseen in the existing literature produced because of the weight changes of C3H10N2, therefore the weight change of a reactor may affect the structure of crystal significantly. In the future, it is expectation that comparison among structures of other Vanadium-Substituted Gallium Phosphates can be made, and the properties of this compound can be measured, and try to find out a brand new type of structure for new exploration by changing the initial reagent. 本研究係透過改變化合物所添加之反應物的比例，以了解反應物比例的改變對晶體的型態與結構的影響。實驗採用中溫水熱反應來從事金屬釩鎵磷酸鹽的合成。並挑取單晶，以X-ray 繞射儀進行數據收集，再以diamond 軟體繪出晶體的結構圖，且進一步得知其性質。研究結果發現，經改變丙二胺的量後，產生不同於文獻上的新化合物，可知改變所加反應物的比例，對於晶體結構有相當大的影響。未來可朝向與其他的釩鎵磷酸鹽做結構上的比較、對此化合物做更進一步的性質測量、改變起始試劑測試，進而得到更新穎的結構形式等部分進行探究。

全球暖化造成水災頻繁，嚴重威脅植物生存。看似耐淹水的水稻，在完全淹水下亦有其生存危機。水稻FR13A 因耐水性極佳而常用於分子育種，IR64 產量高卻不耐水。是那些特質使稻種間有不同耐水機制？我們觀察其幼苗淹水24 小時後生長情形、通氣組織 (aerenchyma) 變化及應用即時反轉錄聚合?鏈反應 (real time RT-PCR)，研究酒精醱酵的主要蛋白質：乙醇脫氫? (alcohol dehydrogenase, ADH1, 2) 及丙酮酸脫羧? (pyruvate decarboxylase, PDC2) 基因之表現量。兩種水稻的胚鞘及根都因淹水減緩生長，以FR13A 減緩最明顯。通氣組織在淹水期間都有增加，FR13A 中的形成近似於對照組，IR64 則明顯較差。FR13A 中ADH1 及ADH2 在淹水一小時後迅速增加60 至100 倍，IR64 僅增加10 至20 倍。PDC2 在IR64 中表現量的增加幅度較大，但最大值仍小於FR13A 之基礎表現量。由此可知，FR13A 在完全淹水時成長減緩而原有通氣組織則持續生長，且酒精醱酵中的基因有獨特誘導反應，因此耐水性較佳。藉由此研究揭開水稻細胞及分子生物學上的耐水反應策略，將可更精準地改良稻作使其對抗淹水逆境，解決未來因環境造成的糧食危機。Global warming increases the frequency of flooding, which drastically reduces the growth and survival of plants. Although rice (Oryza sativa) appears well-adapted to flooding of roots as it is often farmed in paddies, problems arise when the whole plant is submerged in water. I am interested in the structural and molecular responses that result in different submergence tolerances in rice cultivars. Indica rice FR13A is submergence-tolerant and frequently used in molecular breeding for this trait, while IR64 is a high-yield but submergence-intolerant cultivar. In this study, I monitored the growth rate, aerenchyma formation, and gene expressions of the carbohydrate metabolism in FR13A and IR64 seedlings subjected to submergence for 24 hours, by means of real time RT-PCR and microarray. FR13A had prominently inhibited coleoptile growth and sustained levels of aerenchyma formation whereas IR64 did not. The mRNA levels of alcohol dehydrogenase 1 (ADH1) in FR13A was induced prominently, while ADH2 was induced in IR64 during early hours of submergence. The induction of pyruvate decarboxylase 2 in FR13A was stronger than IR64. The expression of sucrose synthase was similar in both strains. Expressions of the genes involved in anaerobic carbohydrate metabolism were also studied by analyses of microarray data. My findings demonstrate that elongation quiescence, persistent aerenchyma formation and shifts in anaerobic carbohydrate metabolism gene expressions are beneficial strategies of FR13A towards submergence. Through elucidating the molecular basis of coordinating submergence tolerance genes as this study provided, it will be possible to discover multiple traits associated; hence crop improvement for flooding tolerance could be achieved.

本研究是以數位科技改良生物實驗上的傳統比色法，並探討中國樹蟾及台北樹蛙的變色行為。有些兩棲類有變色行為，這是眾所皆知的現象，過去一向採用比色法判斷生物體的體色變化；然而，以人眼去測定色差，會有相當大的主觀誤差。本研究及是探討以數位科技量化並比較實驗對象的變色情形。在研究過程中，用電腦量化數位相機所拍攝的影像，以像素的方式呈現出來，得以取的準確且客觀的實驗數據，並加以解析，也經由此一實驗方式，交叉比較中國樹蟾及台北樹蛙在不同環境和不同時間下的變色情形。結果顯示：樹蛙變色和環境顏色及時間有密切關係，且在短時間內以數位量化的方式解析其變色行為的方法極為可行。The purpose of this study is to investigate the color variation behavior of tree frogs using an image processing technology. It is known that some of the amphibians have the ability to change their skin color under different circumstances. In the past, a conventional “color comparison” method was frequently used whenever it comes to analyzing the color variation of organisms. However, it is realized that evaluation of color difference by human eyes is extremely unreliable. An advanced image processing technology is thus suggested to quantify the variation of skin color of tree frogs under different conditions in this experiment. Accurate quantification can be determined from the pixel number of exhibited digital images during the experiment. The color variation of different species of frogs (Hyla chinensis & Rhacophorus taipeianus) is also compared under different parameters. It is found that the color variation of tree frogs is closely related to the color of back ground as well as time. The proposed digital quantification technique has been successfully demonstrated to be an effective method for analyzing the color variation of frogs within a very short time.

“Natural phenological per iodization of a year is called nature calendar…”\r The role of rivers in nature and man’s life is great. They connect people and cultures, form climate, give life to the thousands of living beings. \r In the tasks of researches there were:\r 1. To determine the peculiarities of seasonal dynamics of alive and inanimate nature of Olekminsk reserve;\r 2. To find out (to reveal) the peculiarities of phenological seasons of the territory of Olekminsk reserve. \r _ To determine of phenoindicators which are separate from phenological seasons \r _ To establish the middle dates of the advance of phenological phenomena \r _ To determine the duration of phenological seasons of a year.\r According to the general nature of plants the territory Olekma-Amga interriver refers to the provincial of pine-needles taiga zone, to Verkhne-Lensky flora area. Predominating part of the plants of the reserve relates to boreal types. The flora of the superior plants of Olekminsk reserve includes 654 types. The fauna of area is presented by 40 types of mammals from 45 living in the south of Yakutia, 187 types of birds, 2 types of amphibians and 2 types of reptiles.\r Besides, phenological researches were conducted on the testing area of school ecological control and during arranging of field ecological schools since 2000 till 2010. \r In all 169 phenological phenomena were analyzed from different phenological seasons of year for the last seven years. The gross amount of analyzed information composed 4000 information units.\r Results and conclusions:\r 1. The peculiarities of the seasonal changes of natural complexes were determined for the first time for south of Yakutia on the example of the territory of Olekminsk reserve. The calendar of the nature of Olekminsk reserve was composed. The analysis of phenological observations allowed establishing the row of phenoindicators, with the help of which we can determine advance of that or either phenological stage, as well as the disposition of current vegetative period can be forecasted. The information maybe used in organizing of the measures of nature protection, struggle with pests and the diseases of useful plants, parasite and tranmissive diseases of man and home cattle.\r 2. Geographic position and climatic peculiarities of territory form the peculiarity of seasonal rhythms of Olekminsk’ reserve’s nature.\r 3. All components of landscape in its seasonal changes tightly are connected with each other with causative-investigation ties having formed the definite complex of characteristic phenomena per the stage of seasonal development. \r 4. The carried out analysis of the primary materials of the Annals of the nature of the reserve and information from the field of ecological schools for seven years since 2001 till 2007 allowed detecting the peculiarities of phenoclimatic seasons of the territory of Olekminsk reserve.\r 5. Phenological and temperature outsets of phenological stages were determined.\r 6. Intervals and average of many years dates which are characteristic for phenological phenomena are determined.\r 7. The calendar of the nature of Olekminsk reserve was made on the basis of the processed information.