獵食關係(predator-prey interaction)普遍存在於自然界中，本研究欲以線蟲與線蟲捕捉菌(nematode trapping fungi, NTF)做為探討獵食關係的分子模型，進一步了解獵食者與獵物的共同演化關係。依此，本研究設計了適性實驗以了解線蟲在線蟲捕捉菌獵食壓力下，其母體或子代行為與適應性變化。本研究發現，當暴露於線蟲捕捉菌所分泌的吸引性氣味分子MMB，線蟲會降低其生長速率；而線蟲在被線蟲捕捉菌捕捉後，子代對線蟲捕捉菌與MMB之趨化性顯著降低，並可能透過piRNA路徑遺傳此行為改變，影響三個世代，藉此增加族群的適應性。本研究未來會進一步了解線蟲適應行為改變的分子機制，並希望能藉此系統增進對獵食者-獵物交互作用的了解。

這是一個歷時兩年半鑽研兩共邊三角形外接圓各種有趣關係的探究之旅，透過GeoGebra的輔助，經由(1)觀察圖形及數據形成猜想(2)幾何論證猜想為真的探究歷程。 我們首先探討兩共邊三角形外接圓的圓心位置、半徑、半徑和及連心線的關係，發現並證明出等腰三角形中圓心位置具特殊性、兩外接圓半徑和R1＋R2與連心線─O1O2的長度都跟動點D的x坐標呈現函數關係且圖形為雙曲線的一支；據此討論出兩外接圓面積和與原三角形外接圓面積關係，同時發現∆AO1O2～∆ABC且AO1OO2四點共圓。在研究連心線時也發現，當動點D移動時，─O1O2的中點形成一條直線；每條連心線皆與以頂點A為焦點，(BC) ⃡為準線的拋物線相切。最後得出若任意∆ABC的頂點A到─BC的距離相等，連心線─O1O2所包絡出的拋物線皆全等。

這是一份將近持續四年的研究，而這一年佩爾質數的出現，讓我們的討論「突飛猛進」。 佩爾方程式是形如𝑥2−𝑚𝑦2=1的方程式，其中𝑘不為完全平方數之正整數。我們定義廣義佩爾方程式是形如𝑥2−𝑚𝑦2=𝑛 的方程式。在過去的研究中，我們主要從𝑥2−𝑘𝑦2=𝑝 (𝑘,𝑝 皆為互質的奇質數) 的正整數解開始研究，接著延伸到 𝑥2−𝑘𝑦2=2𝑚𝑝1𝑛1𝑝2𝑛2⋯𝑝𝑗𝑛𝑗，進而得到了解的唯一分解性質。而本次的研究，延續之前的工作，對佩爾質數展開了討論。利用蜈蚣彘，我們成功地發現了一些佩爾質數，猜測出一些可能的結果並證明；同時我們對佩爾質數的生成結構做了相當程度的了解。作為結束，設法利用分析的方法解決的之前的問題，以及對方程式的不可約解，是否存在較低次方根解，給出了必要條件。

One of the main challenges with today’s batteries is their relatively low volumetric and specific capacities. The highest specific capacity can be achieved with lithium-air batteries, which use metallic lithium as the anode and typically some form of porous carbon as the cathode. To enhance performance, aerogels—among the world’s lightest solid materials—are ideal candidates for cathodes. Resorcinol-formaldehyde (RF)-based carbon aerogels, for example, serve this purpose well. In my work, I utilized two types of carbon aerogels as cathode materials: one derived from pyrolyzed resorcinol-formaldehyde polymer and the other a graphene-oxide-modified version of this carbon gel. I integrated the carbon aerogels I had pyrolyzed into lithium-air batteries to improve the cell’s performance, energy density, and capacity compared to cells using activated carbon. In my research, I examined the pore structure and surface properties of these materials in aqueous media using NMR (nuclear magnetic resonance) relaxometry and cryoporometry, exploring their impact on battery efficiency. I found that the graphene-oxide-containing sample's pores filled with water in a layered manner, indicating a more hydrophilic surface, which suggests a denser arrangement of oxygen-containing functional groups compared to the unmodified carbon aerogel. The pore sizes were reduced after adding graphene oxide, resulting in an increased specific surface area for the sample. Incorporating the reduced graphene-oxide-containing carbon aerogel enabled the creation of a more efficient, higher-capacity battery than with the RF carbon aerogel. This improved performance is likely due to the aerogel’s higher oxygen content and altered morphology. The increased oxygen content provides more active sites for oxygen reduction, meaning that a greater specific power output can be obtained from the battery.

傳統藍染，染個深藍色的布，需要反覆侵染二、三十次才行，而每一次洗滌，都是藍水會對環境污染!我們自製鑑色儀器的設計，以白光照射吸光儀，讓光敏電阻感光後，測量一般電阻電壓大小，以不同濃度製作檢量線比較染液濃度；染布鑑色儀則是以GY-33顏色感測器校正後，快速測出色布上同樣區塊面積的RGB值，再利用線上顏色代碼轉換工具，轉換成HSB 值來分析染布顏色。而染布動力的部份我們想把一直都是用塑膠積木製作的二~六槳水車更新成金屬，然後再次比較出不同水位負載物的氧化及還原轉速，希望能找出最佳水車運轉速率及水位高度比，為了因應長度較大的藍巾，水車轉動還加入程式控制順逆轉軸的動力輪替。最後，我們比較增加風速或溫度可否加速藍染氧化之定色，讓精準快速的藍染文化成為可能。

本研究利用光柵繞射原理，結合慣性振盪之單擺，探究震動造成繞射光點間距變化關係，以光點振幅測量震動，建立以光學繞射變動結果顯示結構震動之響應關係。先確定光柵片旋轉、擺角改變對於繞射光點位置偏移，並以GeoGebra軟體分析函數關係，接著測量實際結構震動之加速度與光柵繞射光點位置的動態變化關係，藉此分析地震造成建物擺動時，光柵繞射光點間距變動的關係與趨勢函數，並由訊號反應建立結構震動之繞射光點振幅變動的響應關係。以標準震動訊號產生平台，量化之振動訊號強度，測量出本研究裝置在二維平面之地震訊號測量之表現，獲得二維震動訊號方向分量之關係。並以OBSPY程式分析裝置所測量之震動頻譜圖，確認繞射光點振幅變動可顯示地震訊號之特徵頻譜，更進一步採用Python開發繞射光斑即時影像追蹤軟體，成功透過裝置分析環境的震動響應。未來希望能微小化裝置，以監測建物震動，作為區域範圍測量地震對建物影響之發展基礎。

腦部腫瘤是沉默殺手， 藏匿在腦中數十年。 一旦發作，通常都會造成巨大的影響。雖有數種高階儀器，可以檢測。但檢測過程繁複、 等待時間以及價格， 對於民眾都是不小的負擔。 腦部腫瘤的診斷方式為： 神經內、 外醫生會用筆燈對患者做初步的瞳孔光反應檢查。 藉由患者瞳孔縮小的速率，判斷是否要安排進階的檢查。但此行為仰賴醫生的經驗，沒有統一的方法及數據可供判斷。 本研究設計一款成本約$1,300 元， 重量僅 159 g，圓柱直徑與柱高皆約為 7cm 的隨身裝置。 藉由 MCU 控制攝影機， 頂部 1.44 吋 TFT 螢幕可即時顯示患者眼部狀態，檢查結果計算後， 也會立即顯示在螢幕上。除提供醫護人員即時數據化的解讀患者狀態。更協助醫護人員在做瞳孔光刺激檢查時，有科學化的標準。

上皮細胞黏附因子 (EpCAM) 參與了細胞的黏附、信息傳遞、增殖及分化等功能，並在惡性腫瘤組織中大量表達。另外抗EpCAM中和性抗體可以阻斷EpCAM訊息傳遞，進而引起癌細胞PD-L1的表現量降低並促進T細胞的毒殺活性。為了觀察EpCAM是否會對癌細胞的增生、轉移以及侵入能力造成影響，我們將細胞分為野生型 (wild type) 和EpCAM基因剔除細胞株 (EpCAM knockout) 進行實驗。首先，我們以Western-blotting和qRT-PCR確認EpCAM基因剔除組的EpCAM基因有確實被剔除，再進一步利用細胞存活率及細胞群落實驗證實EpCAM會促進癌細胞的增生能力，並分別藉由EGFR的抑制劑Afatinib與HGFR的抑制劑Crizotinib對於癌細胞存活率的實驗證實EpCAM 對於EGFR與HGFR的訊息傳遞扮演重要角色。接著分析EpCAM對癌細胞轉移及侵入能力的影響，γ-secretase和ADAM17皆為裁剪EpCAM進行訊息傳遞的重要酵素，實驗中的癌細胞分別以γ-secretase和ADAM17的抑制劑DAPT和TAPI-1處理，證實EpCAM的訊息傳遞與癌細胞轉移與侵入能力有關。接著我們以EpCAM中和性抗體處理癌細胞後，證實EpCAM中和性抗體確實會促使癌細胞凋亡。最後我們利用Western blotting分析EpCAM對於不同激酶磷酸化的蛋白質表現量之影響，找出EpCAM下游訊息傳遞的完整路徑，期望能找到治療癌症的關鍵。

從實驗中得知毛氈苔可以消化分解酵母菌。同時酵母菌依據能忍受不同糖濃度的環境，又可細分為高糖酵母與低糖酵母。而高糖酵母與低糖酵母於細胞壁有結構上的差異〔1〕，因此毛氈苔在消化高糖與低糖酵母菌時出現不同的捕蟲行為。

As the world population grows, the demand of food products grows as well and there will be an expected food crisis in the coming years. To prevent those crises, alternative food farming methods must be used. This paper studied two farming systems in different conditions, to compare and find the best, natural and cost-effective system that will cover the current and future demand. The system which can also be used in those areas where soil is less cultivated with insufficient aeration. The first system is the soil-based system (traditional), and the other is hydroponic system. Hydroponic is a technique of growing plants in nutrient solutions with or without the use of an inert medium. Two types of seeds; peas and spinach were observed in both systems over a period of 25 days. In hydroponic plants coco peat was used in place of soil along with the Aegis nutrient. 8 plants were seeded for both types of plants in different systems, conditions, concentrations and pH to conclude the best condition. Growth parameters of all plants including root, shoot and leaf length were observed and recorded daily. On the uprooting, their weight (g), no. of root hairs and used nutrient’s volume(ml) were also recorded. Fungus and insects were seen in the soil plants. The results executed that the growth was maximum in spinach having normal manufacturer nutrient’s spray concentration(1.25ml/625ml) with pH 6 and in peas having normal supplier concentration (5ml/625ml) with pH 4. So, it can be concluded that hydroponic spinach, which is a green leafy plant, can ideally grow at the pH of 6 and peas in slightly acidic condition. Hydroponic planting system has a better growth effect than traditional soil system and this system don’t need any fertilizer, insecticide, pesticide, fungicide and herbicide. While soil plants’ growth was adversely affected by fungus and insects in the absence of these chemicals which can contaminate our food and make it less hygienic for our health. This result achieves the aim of this paper which is finding a planting system and its conditions that can increase the productivity to cover the food demand.