全國中小學科展

一等獎

猜拳與轉向中的運籌帷幄- 探討人類與鼠婦在連續決策行為 的偏好與決策經驗依賴等特性

本研究記錄人類進行「剪刀石頭布」遊戲時的決策行為,也設計T型迷宮建立鼠婦之負趨光行為作為動物模式,探討行為偏好與決策依賴性等特性。我們發現「出石頭」的機率較高,且時間間隔縮短後,「出剪刀」的機率增加而「出石頭」的機率減少,並會展現負相關的決策經驗依賴性,其中「慢出組」更為明顯,代表出拳間隔縮短而減少意識作用,負相關的決策經驗依賴性即會減弱。另一方面,鼠婦在負趨光性刺激剛消失後,仍呈現負趨光性的選擇方向,具有習慣性。鼠婦在選擇行走方向多次後,會呈現與前次選擇的正向相關性。在負趨光性的環境刺激後,上述的現象會先消失,而後再現。若負趨光性刺激方向轉換,則原先的趨光行為消失,應是因方向選擇的習慣性干擾了負趨光性的選擇。

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。

Developing a Heart-Rate Monitoring App to Help Families in Identifying Mood Changes for Children Diagnosed With Neurodivergence

This study dives into the benefits of a heart rate (HR) monitoring application to aid families in identifying mood changes in children diagnosed with neurodivergence. Children with neurodivergence often struggle with communicating their emotions, which often results in tantrums or emotional outbursts, and this study plans to address this by creating an app that detects users’ HR to calculate heart rate variability (HRV) and detect when the user’s heart rate variability (HRV) levels become higher than usual. Heart-rate variability is defined as a small variation of the interval between every heartbeat, it’s calculated with the formula of . By looking at the developments of these small variations, it will be 60/𝐵𝑃𝑀 × 1000 easier to notice then the interval for heartbeats are shorter, meaning the body is in need of more blood pumped quickly for support. The app is connected to a heart rate sensor that is worn by the user. The heart-rate sensor frequently uploads data to the app which the app processes and carefully observes while looking for any sudden, dramatic change. The sensor and app was tested and proved to meet the expected requirements of functionality. Four participants with neurodivergence were asked to equip the heart-rate sensor and results showed that different developments of heart-rate variability were able to be detected by the app, these participants varied in their type of neurodivergence as well as their age. As an example, the third participant showed the purpose of the app most visibly, having a resting heart-rate of 86 BPM (697.67 ms) turning into a high 107 BPM (561.68ms) after changing activities. When the user’s sensor detects a sudden spike in heart-rate variability, the app notified the parent account about this change in emotion. This study has supported the relevance of using heart-rate variability to observe changes in mood.

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。

圓緣相連—關於忍者通道性質之探討

本作品由2023年IMO的第五題出發,希望探索在忍者通道中的其他性質,首先思考改變每排中放入的球數並觀察規律,進而推廣到三維圓圈塔中的性質,最後使用hyper-cube(超立方體)的情況進行一般化的推廣與構造的優化,完成最小值問題的求解,另外也對於特例部分探索解的總數。

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。

橡實代謝物與飛鼠小腸內生菌共發酵產物之應用

This study primarily investigates the components of food residues in the stomach of flying squirrels and the metabolism of the intestinal bacteria Floricoccus tropicus. Using nuclear magnetic resonance (NMR) hydrogen spectrum analysis, the signals of long-chain fatty acids were detected in both n-hexane and 75% ethanol extracts of flying squirrel gastric residues and acorns, suggesting that acorns may be a primary food source for the flying squirrels. The study also identified Floricoccus tropicus, one of the lactic acid bacteria, from the intestines of flying squirrels and discovered its role in the metabolism of fatty acids in acorns. Results showed that polyunsaturated fatty acids significantly decreased during fermentation, indicating that they were converted into short-chain fatty acids with anti-inflammatory properties. In the antibacterial activity experiments, the acorn grease showed no inhibitory effects before fermentation, but after fermentation, the acorn grease exhibited inhibitory effects against E. coli. Furthermore, in anti-inflammatory tests, fermented acorn grease samples significantly suppressed the production of NO and TNF-α in LPSinduced RAW 264.7 cells, with greater inhibition at higher concentrations. In conclusion, the lactic acid bacteria Floricoccus tropicus was found to metabolize fatty acids of acorns into compounds with antibacterial and anti-inflammatory effects.

探究螢光單體分子對激發複合體發光性質的影響及其應用

本研究設計與合成一系列的電子供體分子,以研究分子單體的化學結構對於所形成的激發複合體光物理性質的影響。 五個所設計的供體分子已被成功的合成並確定均具有分子內電子轉移的性質 其躍遷偶級距變化分布範圍在17.6-28.6D之間。 將此五個供體分子分別與兩種電子受體分子在溶液聚集在一起,利用在長波長處所新生的螢光發光,推測激發複合體的形成。研究的成果並顯示,具有類似三角形結構的供體分子將更容易形成激發複合體,而具有棒狀結構的分子則較不易形成之。此成果有效的提供有關於單體分子結構的設計對於所需激發複合體光物理性質的影響,形成可快速地提供各式不同發光波長的材料,將可作為在發光二極體發光層材料、螢光感測器、生物成像等領域需求時的分子設計藍圖與指引。

基於特徵解耦的視覺轉換器之指靜脈辨識模型

發展安全且可靠的身份辨識技術是當今的重要議題,而指靜脈因其高安全性及難以偽造特性成為我們的主題。本研究提出一種基於Transformer模型架構的指靜脈辨識模型稱為GLA-FD,旨在解決現有技術對指靜脈影像特徵表示與提取的局限性。透過開發特徵解耦與重建模組(FDRM),模型能夠有效區分指靜脈的背景資訊與紋理特徵,並將其重新組合以提升辨識準確度。此外,本研究開發的全域-局部注意力模組(GLAM)能同時捕捉影像的全域與局部特徵,進一步強化模型對指靜脈特徵的理解。GLA-FD在FV-USM、PLUSVein-FV3、MMCBNU-6000、UTFVP、NUPT-FPV 資料集中的正確辨識率(CIR)達到100%、98.47%、99.75%、96.11%、99.82%,展現卓越的穩定性與泛化能力。此外,本模型在處理不同年齡層、國籍與影像模糊度的資料下,仍能保持高辨識準確度,顯示其在需要高安全性辨識的應用場景中具備廣泛的實用性。

Investigating the Effects of Temperature and Carbon Dioxide Levels on Nannochloropsis oceanica Using a Hemocytometer Counting Method

Climate changes that include ocean acidification and global warming are serious problems in the ecosystem, affecting marine phytoplankton, including Nannochloropsis oceanica. In the effort to further explore the impact of rising temperature and carbon dioxide (CO₂) concentrations on oceanic ecosystems, the phytoplankton Nannochloropsis oceanica was used as a model organism. This study explored the effect of temperature change and CO₂ concentration on the growth of Nannochloropsis oceanica, achieving 243 samples that were tested with three different temperatures (24 degrees Celsius (°C), 28°C, 32°C) and CO₂ concentrations (0 milliliter (ml)/min, 0.4 ml/min, 0.6 ml/min), utilizing a hemocytometer counting method. Results indicate that the CO₂ concentration has a significant effect on the population of Nannochloropsis oceanica. But the temperature doesn't affect a lot. The Nannochloropsis oceanica in the lowest temperature and highest concentration of CO₂ in its environment had the highest population growth, and in the highest temperature and lowest concentration of CO₂, it had the lowest population growth. Results show the serious negative effect of climate change on the cosystem and the importance of environmental protection. Population blooms due to excess CO₂ taking up ocean resources causing dangerous ecological imbalances.