全國中小學科展

一等獎

結合幾丁聚醣及聚麩胺酸對重金屬離子吸附之研究-研發吸附暨檢測之循環系統

本研究選擇以天然易分解的吸附劑-幾丁聚醣和聚麩胺酸(γ-PGA),建立有效去除水中重金屬離子的方法。首先探討幾丁聚醣膜在各種條件下對鉻離子、銅離子的吸附。對鉻離子的吸附模式較符合等溫吸附式Freundlich,於30℃、pH=3時具有吸附優勢。而後將幾丁聚醣黏附於多孔性泡綿,利用抽濾法提高吸附效率,使鉻、銅離子殘留率分別降至2.08%、11.23%。幾丁聚醣與γ-PGA結合製成的複合材料泡綿,大幅提升對銅離子的吸附效果,其吸附模式較符合等溫吸附式Freundlich,於30℃下、pH=7,γ-PGA與幾丁聚醣之比例為6:5時,對銅離子吸附最佳。利用分光光度儀的設計原理,以光敏電阻建立可即時檢測有色重金屬離子的分析元件。將此檢測裝置結合吸附劑,研發一套可即時檢測、環保簡易的重金屬離子吸附暨檢測之循環系統。對於2.0ppm、10.0ppm之鉻、銅離子循環2、3小時後,殘留率分別降至0.046%、0.074%,充分顯示此系統可有效去除水中重金屬離子。

情緒特工隊:表情知覺中異族效應的神經機制之探討

異族效應可能是造成種族歧視的原因。本研究透過按鍵反應及腦波儀的形式,對本國人及高加索人兩族群進行受試。實驗中,我們給予受試者兩種族群、正反兩種方向和七種情緒的刺激材料,請受試者辨識情緒,受試完畢後再利用ANOVA、EEG lab等分析行為實驗數據及腦波圖。分析結果發現:按鍵反應方面,高加索人較會辨認情緒,也表現出較強的同理心;本國人對兩種族皆產生面部倒置效應、高加索人則僅對於本國人產生;高加索人判斷正臉情緒時會有異族效應,本國人判斷時則正反皆無。腦波儀方面,每一種情緒的異族效應是相似的,就腦內影響的區域而言,本國人面部倒反效應多由枕葉影響,高加索人則多由額葉影響,本國人異族效應由右腦影響,且僅出現在刺激後150~200毫秒,高加索人則未呈現異族效應。另外,異族效應與面部倒反效應間具有交互作用,於是在臉部辨識上的正反差異就會呈現不同結果。將上述結果進一層地推論,可得知異族效應是後天學習行為,而面部倒反效應則是受本能與後天學習共同影響而產生。 期望本研究結果未來能運用在社會議題或心理學研究上,減少異族效應可能產生的負面影響。

肺癌浸潤之樹突細胞分泌Resistin透過活化WHSC1/Twist途徑促進肺癌惡化

本研究首度發現人類肺癌A549細胞會促進其所浸潤的樹突細胞分泌Resistin,而更深入地探究獲悉Resistin會透過活化WHSC1/Twist途徑促進肺癌A549細胞惡化,此惡化過程包括誘導癌細胞上皮間質轉化(epithelial-to-mesenchymal transition; EMT)及提升癌細胞的移行(migration)和入侵(invasion)能力。為確認Resistin在臨床的重要性,透過肺癌病患檢體分析發現,相較於健康捐贈者,肺癌病人的血清可測的較高濃度的Resistin;更甚之,比較非腫瘤組織部位之CD11c+樹突細胞,浸潤於腫瘤組織部位之CD11c+樹突細胞會呈現高量的Resistin。接續探討Resistin對肺癌細胞的影響機制,實驗結果發現Resistin會增加A549細胞表現histone methyltransferase WHSC1的表現,而WHSC1在Twist啟動子的H3組蛋白lysine 36位置進行dimethylation修飾,並降低H3組蛋白lysine 27位置的trimethylation進而促進Twist的表現,促使A549細胞進行EMT和增加癌細胞移行和入侵。因此,Resistin可作為肺癌診斷分子及藥物發展的重要標靶。

峰迴路轉-等比繞行的秘密

對於轉向次數K→∞且轉向角ɵ為任意角時,各收斂點P於坐標平面上恰形成圓C:。已知U為x軸上任一點且坐標為(u,0),當ɵ改變時,p1p2與UP之交點S的軌跡為圓錐曲線(點、直線、拋物線、橢圓、雙曲線)。當U=c 時,交點S的軌跡為橢圓,此橢圓的長軸長為圓C半徑(r/1-r2 ),且焦點為P1(1,0)與C(1/1-r2,0)。各轉向點Pn(nÎN)位於一個方程式為,定角為之等角螺線上;同時繪出轉向次數k在不同值時,瓢蟲行進終點之軌跡,以驗證當k愈來愈大時,各終點形成的軌跡會趨近於一個圓。當k=2時,圖形為蚶線並證明其經平移後之極坐標方程式為R=r+2r2cosɵ。最後我們展示行進公比 r→1-,r=1 , r→1+ 時所呈現的終點軌跡,並對此軌跡所呈現出的意象與自然界連結,而其實質關聯性則有待未來研究。

水中的華爾滋

本實驗將小型塑膠圓片置於水中釋放模擬落葉的運動模式,發現圓片與水平之夾角呈現週期性變化,變化範圍會隨著時間改變。在運動幾個週期後,變化範圍會被限制,此時為穩定狀態。在水中加入鋁粉以觀察圓片運動時流場的變化,提出分流模型與最短時間原理,發現此模型可以解釋圓片的轉動機制。

數形合一

這份研究是關於一個「數形合一」的問題,研究的主要目的是找出同時具有兩種圖形數身分以上的數。研究結果發現雙重多角數必定存在,但個數可能有限個也可能無限多個,有些雙重中心多角數是有限多個,有些雙重中心多角數是無限多個,但令人意外的是同時是K角數和中心K角數的數卻皆是永遠是無限多個,我對其模式進行了探究並加以具體分類,並說明原因。研究過程中發現遞推關係可以大大簡化計算的步驟,可簡潔快速的求出這些數。我也證明了同時是三、四、五角數的數只有 1。此外,我將研究應用在熱門的平衡數(balancing numbers)和NSW數(NSW numbers)等上面,應用多角數的研究解決一些熱門的問題和找出了圖形上不證自明的結果。

逆勢求生-K子祺和局之研究

圓周運動變形之摩擦力與物理建模之探討

本實驗主要是透過及程式模擬分析,探討變形之阿特午機 在一般狀況下及過渡期 的運動過 程。透實驗,我們找出不同的初始條件對於運動結果影響 ,如質量比、繩長 等。我們透過實驗和數值分析建構變形之阿特午機的模型 。因為 摩擦力和空氣阻對於運動 的影響皆不可忽略,因此 我們 也設計阿特午機和鉛直圓周運動的 實驗以求出兩個影響因素參數, 並將其結果統整於理論分析中。這份研究有助我們了解力學的過程目前我們 也正在進行更詳細的數值分析, 我們也希望能在之 後將變形之阿特午機的理論與實驗結 果合,預測不同變因的實驗結果。

Reactions of Bis(oxy)enamines with O-Nucleophiles in the Presence of Metal Salts

NO donors are an emerging class of pharmaceutical compounds, with many important functions in the cardiovascular, nervous and immune systems. With great therapeutic potential, the development of new NO donor compounds would be of great medicinal value, potentially opening a whole class of drugs to be used to treat various ailments. This project studies a specific class of compounds, substituted cyclic oxime ethers, which have proven to be useful intermediates in fields such as medicine and biochemistry. The cyclic structure along with a determinable substitutable group at the C3 position is highly valuable, as it allows the oxime ether to act as a convenient precursor for a variety of useful products, playing key components in many drugs. And with a substituted nitrate group, which is an O-nucleophile, the oxime ether has the potential to become an NO-donor, and hence become a possible intermediate in a wide array of NO donor drugs. Co(NO)3 was used in the synthesis of the cyclic oxime ether, directly from a phenyl substituted bis(oxy)enamine intermediate, producing an entirely new compound: α-hydroxyoxime nitrates, the oxime ether being substituted with a nitrate group. This new reaction of the synthesis of α-hydroxyoxime nitrates was further studied for optimization purposes, in order to open a new class of NO donor precursors. In addition, other nucleophiles were also explored in this class of reactions, forming important bonds such as C-N and C-S bonds, with key structures for other types of synthesis intermediates and precursors. Different metal nitrates, or various other nucleophiles in place of the nitrates, were used in reaction with bis(oxy)enamine, and the yield and structure of the final products were determined by NMR spectra. Successful optimization of the synthesis of α-hydroxyoxime nitrates has been achieved, where the conditions for optimum synthesis involve using Cr(NO3)3•9H2O which achieved a high yield of 76%, dissolved in THF with the bis(oxy)enamine starting compound. It has been determined that the metal in the salt affects the reaction pathway, as the nature of the metal cation affects its efficiency to cleave the N-O bond in the starting compound (with d-block elements being the best performing), and H+ ions can promote the reaction as well. Also, the reaction proceeds with different types of bis(oxy)enamines, meaning the substrate scope can be expanded to give a variety of products. The reaction can also proceed to form other products with different nucleophiles other than the nitrate group, where the C-N and C-S bonds were successfully formed in the reactions from bis(oxy)enamine to oxime ether. Thus, this class of reaction in converting the bis(oxy)enamine to a cyclic oxime ether has potentially opened a new class of NO donor compounds, and further possesses the potential to form a wide variety of products to be used in other important synthesis procedures.

告訴你「拉午耳」 「亨利」的壓力有多大 ─自製簡易的 IC 電路板來討論拉?

This research is aimed to make an in-depth exploration into Raoul’s Law and Henry’s Law by using an accurate but simple vapor pressure gauge. The gauge is constructed from non-complicated electronics components- electronics IC PCB, film resistor, digital multi-meter, and battery. In the first step, we measured the vapor pressure of six kinds of liquids and 3 liquid mixtures- water, ethanol, chloroform, acetone, benzene, toluene, mixture of water and ethanol, mixture of chloroform and acetone, mixture benzene and toluene. From the results of this experiments, the vapor pressures of water and ethanol liquid mixture, and chloroform and acetone liquid mixture were slightly lower than their theoretic values-called negative deviation solution, while the vapor pressure of the benzene and toluene liquid mixture was quite close to its theoretic value-near an ideal solution. In the second step, the individual vapor pressures of water, ethanol, and chloroform were measured at various temperatures; the vapor heat(ΔH) were calculated by using the lausius-Clapeyron equation. In the final step, we used the gauge and other non-commercial instruments to measure the B.O.D. values of water from the Kaohsiung Love River, found the P-T correlation using Gay-Lussac’s Law, and calculated the absolute zero temperature value by extrapolation. 本研究是利用一些簡易的電子元件-電路IC板、電阻膜、數位三用電表和電瓶來組裝一 個準確、簡易的氣壓量測器。我們將此量測器用來深入探討「拉午耳定律」及「亨利定律」 。 首先,我們測量了水、乙醇、氯仿、丙酮、苯、甲苯等六種純液體的蒸氣壓,並測量了(水+乙醇)、(氯仿+丙酮)、(苯+甲苯)等兩成份系溶液的混合蒸氣壓。結果發現(水+乙醇) 、(氯仿+丙酮)的混合蒸氣壓都比理論值低了一些,此稱為負偏差溶液;(苯+甲苯)的混合蒸氣壓與理論值差不多,較接近理想溶液。 接下來,我們還測量了不同溫度下水、酒精及丙酮的蒸氣壓,並利用clausius-clapeyron equation求出液體純質的汽化熱( H Δ )。 最後,我們還搭配了自製的儀器裝置,來測定愛河水質的B.O.D.值(生化需氧量)以及探討氣體的給呂薩克定律(P~T關係),並利用外差法來推求絕對零度。