全國中小學科展

2025年

在量子電腦上模擬量子諧振子隨時間演化

量子電腦是近年來新發展的科技,利用量子糾纏態的量子位元進行計算。本文希望可以利用量子電腦計算諧振子隨時間演化算符。而這也是我第一次在量子電腦上模擬諧振子隨時間演化系統。首先我找出可以用於諧振子算符的合適算符矩陣大小、空間步長(Δ𝑥)、質量(m)、角頻率(ω)並且在位置基底下表現時間演化算符矩陣。設計並簡化量子電路後,使用IBM公司提供的量子電腦模擬並計算數值。我透過矩陣修正減少修正輸出錯誤產生的誤差,達到較精確的結果。模擬出在一個時間單位內的數值與理論值大致相符,未來希望可以利用此量子電路尋找矩陣的特徵值或是模擬更大型的系統。

為視障者開發之學習輔助平台:結合Image-to-3D AI 模型之可觸式三維擴增實境顯示器與個人化之檢索增強生成(RAG)自然文字系統

全球約有9千萬的兒童是視障者,他們的學習依賴著點字器材。點字書難以傳達3D (三維)圖形的概念,讓他們在理解3D圖形有許多挑戰,而點字書過長的文字描述加大了他們與正常同儕之間的差距。本研究旨在開發一個學習輔助平臺,同時強化視障者的觸覺認知和文字圖形理解能力。 在強化觸覺認知方面,開發之系統能將傳統的圖片,利用影像轉3D之人工智慧建模(Image-to-3D AI model)技術,轉換圖片轉為3D,呈現在開發的擴增實境顯示器上,讓視障者能夠親身透過觸摸立體顯示器之3D模型,瞭解圖片表達的空間結構。在文字優化方面,利用微調大型語言模型與搜索式強化生成等方法,優化視障者閱讀之內容。系統開發過程中,二位視障者進行體驗,持續以修正系統設計的便利性、友善性與有效性。 本研究成果為視障者帶來新式個人化的學習輔助工具,增強視障者對立體圖形學習能力與文字理解。

Revolutionizing Metabolic Health: The Therapeutic Potential of Next-Generation Probiotic Akkermansia Strains (Z62, IR119) for Metabolic Syndromes

The human gut microbiome is integral to digestion, overall health, and metabolic disorder imbalances. Recent advancements in fecal microbiota transplantation (FMT) have highlighted the therapeutic promise of restoring healthy gut microbiota in populations with high incidences of diseases. Focusing on fecal DNA samples from healthy Asian individuals, this study examines the potential of novel Akkermansia strains, specifically Akkermansia muciniphila (Z62) and Akkermansia massiliensis (IR119), as next-generation probiotics for mitigating metabolic syndrome. A key aspect of the study is the investigation of short-chain fatty acids (SCFAs), which are produced and play a crucial role in regulating metabolic processes. SCFAs such as butyrate, acetate, and propionate are essential for energy provision to colon cells and exerting anti-inflammatory effects. The methodology involves selecting two Akkermansia strains, analyzing them through 16S rRNA and WGS, evaluating their growth and survival rates under acidic and bile-salt conditions, alongside their cell adhesion capabilities. The study focuses on the production of key short-chain fatty acids (SCFAs) and tryptophan derivatives by bacteria in regulating metabolic processes, as well as their anti-inflammatory effects on colon cells. Through in vitro assays, both strains exhibited survival in acidic/bile-rich conditions, though Z62 demonstrated superior adhesion to Caco-2 cells, suggesting a higher colonization potential. Metabolomic analysis revealed both strains produce SCFAs, including propionic and acetic acids, and indole metabolites, such as indole-3-propionic acid and indole-3-acetic acid, which are known to influence lipid metabolism and insulin sensitivity. In adipocyte cell models, IR119 significantly reduced lipid accumulation, while Z62 increased lipid presence. Furthermore, IR119 reduced pro-inflammatory cytokine levels, including IL-6 and TNF-α, suggesting potential for inflammation mitigation. The future potential of IR119 as a therapeutic probiotic is extraordinary in addressing complex metabolic and inflammatory diseases, which open new avenues for managing chronic inflammatory conditions like type 2 diabetes and cardiovascular disease. Future clinical trials could refine IR119’s efficacy, positioning it as a leading probiotic in preventive and therapeutic contexts.

探討濕地耐鹽菌對植物耐鹽及根部的交互作用

本研究從濕地篩選出可能為新種的耐鹽菌Oceanobacillus sp.,暫命名為OC2,其在無植物相伴狀態下不會降低土壤含鹽量,但卻在與植物共存後誘發特殊機轉,促使土壤含鹽量降低約,並提升植物耐鹽能力,顯示 OC2與植物存在特殊交互作用。深入研究發現,OC2能產生IAA,並吸引植物根部向其生長以利其進入根部,並在鹽逆境下分泌代謝物以刺激植物合成脯胺酸 (增加達98.5%)提升根部滲透壓、增加葉片類胡蘿蔔素及類黃酮含量以提升植物抗氧化力。植物方面,鹽逆境下植物分泌的化學物質會觸發OC2產生更多的IAA(約17%),藉以刺激植物根系發展以利水分吸收,而OC2的存在會促進根部澱粉酶活性上升達88%,以分解澱粉產生可溶性醣類供OC2使用,推測兩者存在共生關係。本研究展示新種耐鹽菌與植物的交互作用,期待透過此菌改善鹽化農地並能提升作物產量。

藥命時刻---天然環境農藥降解與大範圍消除方法研究與討論 Time for No Pesticide on My Plate : Research and discussion on methods for degradation and large-scale elimination of pesticides in natural environment

本實驗研究常見除草劑「固殺草」的降解與檢驗,同時利用各種物質與方法嘗試消除農藥,並尋找消除農藥「固殺草」的最佳方法。 本研究發現:藉由產生「親核取代反應」(Nucleophilic substitution) 能有較佳的消除農藥效果,並且當環境物質含有越多量的胺基酸與維生素時,其消除農藥效果也越好。 根據實驗結果,我們利用環境中易取得的物質,自製簡單、便宜的農藥消除劑,用來協助農民與一般民眾消除農作物上殘存的農藥,並根據實驗結果可以在極短時間內去除99%以上的農藥殘留,期望幫助民眾遠離農藥的毒害。

ZIFs與釩氧化物作為鋅電池陰極材料之應用與性能研究

本研究旨在優化鋅離子電池陰極材料的性能,選用沸石咪唑酯骨架材料(ZIFs)與釩氧化物(V6O13)進行複合材料的合成與應用。隨著鋰電池成本的上升,鋅離子電池因其安全性與成本效益逐漸受到重視。ZIFs 具有高比表面積及良好的離子導電性,而V6O13則因多價態和優良導電性而成為潛力材料。通過結合這兩種材料,我們開發了具有多孔結構和優異穩定性的複合陰極材料,再使用 PXRD、SEM 及 EDX 對材料進行結構表徵,並使用此新材料製作鋅離子電池進行電化學性能測試。結果顯示,熱裂解後的 PY-VxOy@ZIF-Zn/Co具有最佳的克容量及穩定性,且在500次循環後保持良好的穩定性。本研究展示了ZIFs和V6O13結合在鋅離子電池中的應用潛力,為低成本、高效能的儲能解決方案提供了新的方向。

歐氏空間中固定圖形在整數格點的最大覆蓋

本作品針對固定格點中的最大覆蓋進行研究,探討三角形與平行六面體的最大覆蓋面積與體積,以及此時的作圖圖形。對於三角形,我們的研究對象為平面 9𝑛2 格點,我們觀察出每三圈格點為一個作圖單位,並藉由定義點集合範圍來證明最大面積三角形。為了證明所提出的猜想,我們以三個正方形與四個三角形之間的轉換關係為方向進行研究,並求出相同旋轉點三角形的大小關係,將坐標分門別類後加以探討。至於平行六面體的部分,我們則研究立體 8𝑛3 格點,在提出最大體積總和之猜想後,以底面積與高兩方面來推算出最大體積,最後將平行六面體依據平面法向量分成數類以證明猜想。

「飛到西飛到東」對應異頻穩定三角訊號之波形分析

本篇研究以探討多重訊號同時輸入時的訊號干擾問題出發,類比至國立臺灣師範大學數學系游森棚教授所提出的數學問題: 飛到西飛到東」,希望藉由導出多質點移動速率與其距原點間的位置關係,找出訊號重疊程度之峰值條件,藉此有望應用於硬體接收器的訊號輸出處理,或類比至電路設計與物流規劃等,達到避免相互干擾與提升傳輸效率的功用。 在內文中我們先以分段討論的方式解決期刊問題,並導出在任意系統中可快速辨別物體運動狀態之高斯函數。隨後以參數化曲線路徑與向量式的質點位置,拓展主題可適用範圍的自由度,再以高斯函數法和傅立葉級數法得出解型式之聯立組,最後利用數系之封閉性,將主題進一步約化處理。

Greenhouse Gases Reduction: Conversion of Methane and Carbon Dioxide into Clean Energy

In the upcoming years, both population and energy consumption are expected to increase dramatically [1]. Industrialization has led to a dramatic shift in the energy environment [2], with predictions of a 57% increase in demand for energy between 2002 and 2025 [3]. In addition to organic materials like trees and solid waste, fossil fuels like coal, natural gas, and oil provide more than 90% of the world's energy needs. Their overuse has resulted in the release of climate-altering greenhouse gases like carbon dioxide (CO2) and methane (CH4) into the atmosphere [4]. Scientists and other stakeholders are putting more emphasis on finding solutions to global warming, increasing energy production in order to meet increasing demands, and decreasing emissions of greenhouse gases. Using greenhouse gasses to make useful chemicals or fuels is one solution to both problems [5]. This motivated researchers to investigate the potential of CO2 and CH4 as clean energy sources. The process of dry reforming of methane (DRM) has been identified as a potentially successful strategy for transforming CO2 into marketable syngas with a balanced H2/CO composition [6], [7], [8], [9]. The economic viability of DRM, the reactor type, the availability of raw materials, and the intended use of the produced syngas are all-important considerations. Though DRM is gaining popularity, maintaining its long-term stability is difficult due to carbon accumulation from CO disproportionation and methane degradation [10], [11]. The catalyst used, as well as other parameters like as pressure, temperature, feed concentration, and reactor size, are critical to the process's effectiveness. In this scenario, a nickel catalyst on a La2O3/SiO2 substrate with microspheres and a core-shell structure will be developed to improve the conversion of greenhouse gases into profitable syngas. This catalyst is projected to improve the efficiency and performance of the DRM process significantly.

Autonomous Ecosystem Surveillance Vehicle

As of 2021, there are 368 harmful algae blooms and over 6000 invasive species in the United States of America. Furthermore, it is reported that the United States spends more than 11.1 billion dollars per year on clean-up methods for marine debris. However, there currently isn’t a method to monitor aquatic problems simultaneously, autonomously, and efficiently, creating a capability in the aquatic biosecurity sector. To combat this, we have created an autonomous vehicle that can conduct long-term monitoring of freshwater bodies for up to 60 hours.