全國中小學科展

三等獎

雙球系統垂直震盪之探討

觀察一置於平面上互相連接之兩鐵球,在給定一初始角速度後會有一球體離開平面產生仰角的現象。本研究探討此現象並提出相關解釋。經由實驗發現系統傾斜角度與系統角速度有顯著的影響,且此傾斜角度亦表現出震盪之特性。透過觀察系統運動模式,更發現現象與圓球系統相關參數有密切關聯,藉由攝影並分析系統各項物理數據,進而推導出牛頓力學與拉格朗日力學理論模型並驗證所設的想法,解釋系統穩定抬起與震盪的現象。

探討吸菸調控絲胺酸合成路徑影響肺癌生長及抗藥性

肺癌為全球死亡率最高的癌別之一。抽菸,肺癌的主要危險因子,臨床上造成抗癌藥效不佳並導致病患的低存活率與不良預後。然而,抽菸影響肺癌的機制仍不清楚。代謝重整最近被視為是癌症的新興特點。絲胺酸合成路徑為葡萄糖代謝的分支之一,參與生物合成材料之製造,並和癌症的惡化有密切的關連性,但缺乏詳細的相關研究。本研究探討抽菸是否透過影響絲胺酸合成路徑來導致肺癌生長,並測試絲胺酸合成路徑抑制劑是否能增強化療藥物吸菸相關肺癌細胞的治療效果。我們的研究發現,抽菸和絲胺酸合成路徑在肺癌中有正相關性且與臨床上的低存活率有關,並證實抽菸調控絲胺酸合成路徑而促進肺癌生長與化療抗性,此現象可因合併給予絲胺酸合成路徑抑制劑而獲得緩解。此研究成果顯示抑制絲胺酸合成路徑可能成為治療吸菸相關肺癌的新策略。

正三角形的最小拼接

眾所周知,「如何使用三種不同邊長的正三角形,去拼出邊長最小的正三角形?」這個問題是困難的。本文限縮在分層或拼接的拼法下,探討此問題,並得到了答案。解決過程中牽涉到正整數解的存在性問題──如何找最小的正整數z,使得方程式ax+by=cz有正整數解,其中a、b、c為三種正三角形的邊長。

昆蟲翅膀3D仿生結構應用SERS檢測水污染分子

大家好,我是國立臺灣師範大學附屬高級中學的呂宸昕,目前是高二,在2022醫療科技展中認識了明志科大劉定宇教授,並進入材料工程系的實驗室開始做實驗,看到學長姊處理基材結構的時候,就也決定投入SERS的研究,而我是選用昆蟲翅膀的仿生結構去做實驗,也將初步結果投稿到了國際期刊Polymers並且被接受刊登出來,非常感謝老師和教授協助。

吹氣致冷現象的機制探討

人們在日常生活中總會察覺,當以嘴巴對著皮膚快速吹氣時,皮膚表面會覺涼涼的;但若是張口緩緩哈氣,則皮膚表面卻會感覺溫熱。為了量化這個現象的成因,作者先以口腔實際吹氣來進行初步的測量與研究,接著以自製器材模擬口腔吹氣的情況來操作實驗。我們探討了吹氣時不同的出口風速、不同的口腔氣溫及環境溫度的條件之下,目標物表面的溫度變化。這個現象會涉及氣體的膨脹降溫,以及氣流抵達目標物之前與環境中空氣的混合效應;最後還測量了吹氣時目標物上含水量減少的蒸發降溫幅度。本實驗提供了大量的實驗數據,明確且定量的證明了上述吹氣致冷的主要成因就是「氣流引入」效應,當口腔與手心相距10公分快速吹氣時,抵達手心的氣體中約有95%是環境中原本的空氣,所以皮膚才會感覺冰涼,而「絕熱膨脹」及「蒸發降溫」的影響則都比預期中小了很多。

Imperative Programming程式碼與Functional Programming程式碼的等價性與其證明,使用Agda

本研究主要考慮在盡量保留可讀性的情況下,找出將 Imperative Programming 程式碼對應的 Functional Programming 的程式碼並證明。 結果如下: 一、if statement 等價於由 ifte 函數所構成的程式碼,其中函數ifte定義在本文內 二、某些 for-loop statement 等價於由 foldl 函數所構成的程式碼 三、某些 for-loop statement 等價於由 map 函數所構成的程式碼

臺南市違停的離散小波與ARIMA分析

現今逐漸有許多科學家研究出一些能夠進行預測事件的方法,諸如天氣預報、價格變化的幅度等等。在眾多生活常見的問題中,我們選定違規停車為例,作為研究主題,而我們推測違規停車是一種具有週期性的問題,有多樣的潛在變因存在,於是我們跳脫以往多以心理層面、法規制度與地理熱點等的視角去看待違規停車,以資訊科學及數學的方法,建立一套分析的模式加以進行研究。 本文以連續小波變換CWT、最大重複離散小波轉換MODWT、差分整合移動平均自迴歸模型ARIMA、混合MODWT+ARIMA模型及混合Harr離散小波變換DWT+ARIMA模型,對臺南市三個不同特性的行政里的共五個聚類點,進行預測。原始的資料以週為單位,分成全日(allDay,0~24時)及白天(Day, 08~16時)兩種型態,並以連續46週的資料預測接下來4週。結果採用方均根誤差RMSE相對平均值、標準差、最大值的比值,進行預測品質的比較。

PVA unveiled the actual role of starch in the Briggs-Rauscher reaction

The Briggs Rauscher reaction (BR reaction) is one of the famous oscillating reactions; the aqueous mixture of KIO3, H2SO4, H2O2, C3H4O4, MnSO4, and starch exhibit color change between yellow and blue-purple repeatedly. The blue-purple color formation is due to the iodine test reaction caused by inclusions of polyiodides such as I3- and I5- in the helical structure of starch. Therefore, starch has been regarded as only an indicator in the BR reaction. But our seniors have found that the oscillation did not last without starch. They hypothesized that starch’s linear helical framework is necessary to elongate the lifetime of the oscillating reaction. If this hypothesis is correct, similar BR-type oscillations must be observed when other polymers with helical structures are used instead of starch. We found the literature which reports that polyvinyl alcohol (PVA) forms a helical structure and indicates the iodine test reaction. In our research, we studied the BR reactions using PVA, with different saponification degrees and viscosities. First, we studied the correlation between the structural features of PVA and the iodine color reaction by spectroscopic approach, exhibiting that PVA with low saponification form helical structures and show the iodine color reactions, which gives red color solutions. Second, we found that additions of the helical-structured PVA to the reaction solution instead of starch induces the BR-type oscillating reactions, while PVA without helical structure induces only a few numbers of oscillations. This is the world-first example of the oscillating reaction using PVA. The oscillation that lasted for 6 minutes with 23 oscillations was almost the same as that of the general BR reaction using starch. We concluded that the polymers with helical structures are intrinsic to elongate the lifetime of the BR reaction. Furthermore, we found that the addition of K3[Fe(CN)6], which has a high redox activity, in the reaction solution with PVA drastically elongated the lifetime (50 min) and increased the numbers of the oscillations (nearly 100 times). This result suggests that the oxidation-reduction reactions by the ferricyanide ion promotes the redox process of iodine and iodide ions.

Limited Query Black-box Adversarial Attacks in the Real World

We study the creation of physical adversarial examples, which are robust to real-world transformations, using a limited number of queries to the target black-box neural networks. We observe that robust models tend to be especially susceptible to foreground manipulations, which motivates our novel Foreground attack. We demonstrate that gradient priors are a useful signal for black-box attacks and therefore introduce an improved version of the popular SimBA. We also propose an algorithm for transferable attacks that selects the most similar surrogates to the target model. Our black-box attacks outperform state-of-the-art approaches they are based on and support our belief that the concept of model similarity could be leveraged to build strong attacks in a limited-information setting.

Expectations for extension of cell life and next generation anticancer drugs by using secondary metabolites of actinomycetes

Inhibitory effects of the secondary metabolite of actinomycete were examined on cell cycle of the yeasts of S. pombe and S. cerevisiae. The secondary metabolite was obtained from cultivation of the actinomycete isolated from the soil of Owakudani in Hakone, Japan. The fifth fraction of the secondary metabolite by ODS column separation (HK-T5), which was soluble to pure methanol, was used in the present experiments. The HK-T5 brought about the delay of forming colonies of S. pombe for about 11 days compared to that cultivated without the HK-T5. The delay of the colony formation was longer for the S. pombe cultivated with more amount of the HK-T5. The cultivation with HK-T5 also brought about the extension of the lifespan of the S. pombe for more than 10 weeks in a liquidus medium. The cell life recovered the ordinary manner by removal of the HK-T5, meaning that the activities of the HK-T5 is reversible. These facts confirm the suppression of cell cycle, and the delay of cell growth by the HK-T5. These phenomena were similarly observed for S. cerevisiae. Comparison of the action of HK-T5 with hydroxyurea, which is an anticancer drug inhibiting the cell cycle at S phase, clarified that the inhibitory action of HK-T5 worked at the phase earlier than S phase. The combined effects of HK-T5 on the cell cycle were evaluated with triamcinolone acetonide (TA), or aspirin, the former of which is a drug synchronizing cancer cells in S phase, and the latter keeping human cells in G1/G0 phases. The combined use of HK-T5 with TA synchronized the cells at the phase slightly proceeding from G1 to S phase without toxicity. On the other hand, the combined use with aspirin made the inhibitory effect of HK-T5 inactive. Hence, the HK-T5 is attractive as a drug for the extension of cell lifespan, and anticancer therapy.