本作品針對圓覆蓋三角形面積率進行研究,探討不同圓半徑覆蓋於正、等腰三角形,當有最大覆蓋率時,圓心位置或範圍及覆蓋率為何。在正、等腰三角形r≤rI、r≥rO時,利用相似,求出範圍頂點位置及作圖方法;而在正三角形且rI
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DEVELOPMENT OF PAPER-BASED ORIGAMI BIOSENSOR PLATFORMS FOR COLORIMETRIC DETECTION OF BIOCONTAMINANTS
Infectious diseases caused by bacteria from biological pollutants pose a great burden in terms of diagnosis and treatment, and millions of people worldwide die from bacterial infections. Detection of bacteria plays a critical role in clinical diagnosis and control of contamination, but is not accessible due to the high cost, complex devices and equipment required. In the project, an alternative to existing methods, a paper-based biosensor for the detection of model organism E. coli bacteria, which is visible, low cost, easy to use, can be integrated with a smartphone, is based on rapid color change in the exposed environments, drinking and pool water, wastewater, beverage products. platforms were developed. For the specific detection of E.coli bacteria, two different biosensors have been developed that can perform colorimetric detection in a user-friendly origami design, minimizing microchip and processing steps based on antibody-bound PVDF membrane and filter paper-based immunological method. In the presence and absence of target bacteria E.coli, the lowest detection limit of the biosensors obtained by using paper-based platforms that create a distinctive color on them, depending on the concentration, was 0.9x103 bacteria/ml for origami biosensor, 2.7x103 bacteria/ml for microchip biosensor and the widest dynamic linear operating range was calculated as 103-107 bacteria/ml. With the biosensor platforms we have developed, the use of only one smartphone for both qualitative and quantitative, visible results and analysis within minutes constitutes the originality of our project. With these promising results, the biosensors we have developed can also be used for the detection of different biological pollutants, do not contain complex devices and can be easily produced in large scales. We believe that the biosensors we have developed for the detection of biological pollutants in water and beverages, especially in regions where test laboratory infrastructure is not available, will contribute to the literature, public health, health economy and sustainable development goals such as clean water and sanitation, health and quality life, and life in water.
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探討大質量恆星演化所導致超新星爆炸之理論模型與對應觀測驗證
核塌縮超新星(Core-Collapse Supernova,CCSN),又名II型超新星(type II supernova),是宇宙中最重大的爆炸現象之一,在天文物理學上有許多探索與應用。核塌縮超新星被認為源自於大質量恆星的死亡,但是目前尚不清楚大規模恆星演化及有關核塌縮超新星的物理學,為獲取有關核塌縮超新星的知識與應用,我們使用一維程式碼Modules for Experiments in Stellar Astrophysics (MESA)執行大質量的恆星演化模型。對於此次研究中我們模擬大質量恆星從零齡主星序(zero age main sequence,ZAMS)演化為核塌縮超新星,並透過考慮不同質量祖星(progenitor)上的各種爆炸能量、金屬量(metallicity)、角動量(angular momentum)展示其演化狀態,討論這些恆星演化的物理參數如何影響超新星爆炸及呈現的光變曲線。我們的模擬結果與觀測數據相當符合,可解釋其祖星的起源及物理意義。
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