全國中小學科展

2016年

利用三階段迴歸修正法修正建築物場址效應對地震預警之影響

近年來場址效應(Site Effect)的研究主要為探討地質造成之場址效應,不過現代,人類大多在建築物內活動,而建築物之場址效應也應該被受重視,本研究利用模擬波形探討建築物場址效應造成之放大效應,發現放大倍率會隨著不同樓層而跟著放大1到2倍。 中央氣象局致力研究地震預警系統,希望藉由預報來減少地震造成之損失,而其用於預估最大加速度之衰減式(Attenuation Relationship)考慮震源效應(Source Effect)與路徑效應(Path Effect),而場址效應只利用經驗觀測值與預估值之比值表示。本研究以學校建築物做為研究區域,利用二階段衰減式作為模型提出三階段迴歸衰減式,加以考慮建築物造成之場址效應,在第三階段乘入利用模擬波形所得到之經驗場址效應放大倍率,最後利用線性迴歸修正,期望可有效預估建築物內之最大加速度,未來可用以建立建築物地震預警系統。

GAS SENSOR APPLICATIONS WITH PHOTONIC CRYSTAL FIBER AND CARBON DIOXIDE SENSOR DESIGN

It’s very important to control and monitor gases that are produced by industrial applications in different values and kinds because they can cause environmental pollution and health problems. Photonic Crystal Fiber (PCF), which is a different kind of optical fiber, is a new alternative for gas sensors due to their small sample volumes, low transmission losses and high flexibility properties. PCF’s are silica-glass fibers, made by periodic sequence of hollows along the fiber. By filling these hollows with optical liquids or gases very sensitive sensors can be made. In this project, we aimed to design a sensitive sensor by filling the hollows with proper gases and liquids in the solid core PCF. For these applications ethanol, methanol, toluene vapors and carbon dioxide was used. And to observe carbon dioxide’s effects ionic liquid (EMIMBF4), which carbon dioxide can dissolve in, was filled then the experiments were repeated. It was observed that the transmission of light in PCF changed depending on the refractive index of the gas that was filled. With this change, it was understood that there were another gas besides the usual containments of air. Our system could measure the absorbtion peak of toluen so it can be used as a toluen dedector and when ionic liquid filled the fiber, two steps that occur in the spectra of corbon dioxide so it can also be used as a carbon dioxide dedector. The system was customized as a carbon doxide sensor in a cost-efficient and portable way. Our system can be specialized and easiliy used with right light source, which is efficient to see the absorbtion peaks, and proper liquids to dedect intended gas. Making a carbon dioxide sensor by filling PCF with ionic liquid was never attempted before. Also the lack of carbon dioxide sensor studies supports the originality of our project. That’s why we think our project will contribute very importancies to the existing literature.

翻轉塗色

長度為n的字串,我們設計了對偶塗色,目的在減少同色字串出現的周期規律。而計算這樣的字串中存在多少同色的3-AP。 利用對偶塗色字串的特殊對稱性質,我們先將其中的同色3-AP分成單獨由字串前半2n-1形成的第I類同色3-AP及部分在前半2n-1部分在後半2n-1的第II類同色3-AP,並以d-中心排列方式重新排列,將第II類同色3-AP分解成較小的子結構,得到遞迴式計算跨越中心的同色3-AP,而得到定理1,計算第II類同色3-AP的數量。 由對偶特性得知,2倍的第I類與2倍的第II類同色3-AP即為長度2n字串中同色3-AP的總個數,由此推出定理2: n階對偶塗色字串中(字串長度2n)的同色3-AP總數為1/16N2-1/12Nlog2N+5/36N,N=2n. 此結果與所有塗色方式中平均存在的3-AP數量相近,第二大項-1/12Nlog2N則與對數值log2N相關。 有趣的是,經由程式計算的結果發現,對偶塗色法中同色4-AP、5-AP的數 量也似乎是平均值。甚至從任給定的字串開始作對偶複合字串,程式計算的結果也是接近平均值。

吸收紫外光之透明有機薄膜太陽能電池

透明有機薄膜太陽能電池,有別於目前市售深藍黑色太陽能板,因其吸光範圍在不可見光區,使其外觀呈透明無色。若發展得當,便可應用在日常生活中,將玻璃更換為透明有機薄膜太陽能電池,廣泛利用再生能源。 本研究中,我們以旋環雙芴為主體,分別引入二苯環胺基、1,3,4-噁二唑雜環,合成 D2、A2分子作為透明有機薄膜太陽能電池的主動層。測量其溶液態的基本性質後,發現 D2、A2的吸收波長皆落在紫外光區。作為有機太陽能電池元件的主動層,不論是 D2 和 C60 搭配,或是 D2 和 A2 搭配,皆具有極佳的穿透度,並且太陽光下光電轉換效率最高可達0.52 %,弱光下的光電轉換效率可高達15.6 %。

Light as energy source in chemical reaction. New synthesis of valuable dithienylacetylenes

Photochromism (from Greek φωζ photo “light” and χρωμα chroma “colour”) is determined as reversible transformation between two chemical species, induced by action of light [1]. Herewith, initial form and photoinduced isomer have different physical and chemical properties. The phenomenon is attractive for the design of hi-tech materials, including optical memory elements and molecular switches. Diarylethenes is the most promising class of organic photochromic compounds due to outstanding thermal stability of both isomers and high photostability [2]. The size of so-called ethene bridge significantly affects the photochromic reaction. The photochromic diarylethenes with 4-, 5-, and 6-membered cyclic ethene bridge are known, but there is no example with 3-membered bridge. In this study we report a new approach towards dithienylacetylenes 3 that include the synthesis of diarylcyclopropenones 2 via Friedel-Crafts alkylation of heterocyclic compounds 1 with tetrachlorocyclopropene and following UV-irradiation. It was found that the diarylethenes 2 do not display photochromic properties, but they undergo quantitative photoelimination of carbon monoxide upon UV-irradiation resulting in dithienylacetylene 3. Thus, we have proposed a new synthetic two-step approach to dithienylacetylenes 3 [3], which could be useful synthons in synthesis of photochromic diarylethenes with various ethene bridges.

探討抗憂鬱症藥物phenelzine對於發生在小鼠巨噬細胞中的細胞凋亡所產生的保護作用及機制

之前有研究指出,使用一些單胺氧化酶(monoamine oxidase, MAO)的抑制劑如pargyline和clorgyline,皆可以保護serum starvation所導致的細胞凋亡,表示MAO可能在細胞凋亡的路徑中扮演重要的角色。 本研究著重於一個臨床上被拿來當抗憂鬱症藥物的MAO抑制劑苯乙肼(phenelzine, PZE)對於沿著腫瘤壞死因子-α (tumor necrosis factor-α, TNF-α)途徑而產生細胞凋亡的小鼠骨髓巨噬細胞(bone marrow-derived macrophages, BMDM)所產生的保護作用。 本研究的結果顯示PZE的確可以保護循TNF-α途徑死亡的細胞,同時使活性氧化物質(reactive oxygen species, ROS)的量下降。我們推論造成此現象的原因是PZE藉由抑制MAO,使得ROS的量下降,進而保護細胞。

從A到B再到C―從組合數學觀點及生成函數來看Avoid數列及其多項式組合係數B

對於排列組合數學中避免特定序列的方法,是一個已經提出很久的問題,而對於長度為n,避免同一物連續出現兩次的方法,俄國學者Tanya Khovanova [1]提出一遞迴式。既然知道避免同一物連續出現兩次的方法數,那避免同一物連續出現m次的方法為何呢? 在去年的臺灣國際科展「從Avoid數列到類巴斯卡三角形」我令其方法數為A,計算其遞迴關係,並寫成以B為係數的多項式,計算B的遞迴關係。 為了計算B的一般式,今年我的研究過程: 1. 今年不同於去年的臺灣國際科展,重新以較直接且簡單的排列組合證明避免同一物連續出現m次數的方法數A之遞迴式 2. 同1.,重新以排列組合證明B的遞迴式,並找出選取個數小於m時之一般式 3. 以生成函數計算B及A,並計算B的一般式 4. 發現B的大小隨著選取個數接近常態分佈

圓圓不絕的三角問題-三角形分割內切圓性質探討

任意三角形我們可以從其中一個頂點作分割線將其分割為兩個三角形,若分割三角形的兩個(子)內切圓面積和與原三角形的內切圓面積相等,我們稱此分割法為分切解。以直角三角形為例,很明顯的,對斜邊作高的分割方式為一分切解,更進一步的研究,我們發現將其子三角形的內切圓位置互換,其所得依然為一合法的解(稱為交換解)。有了這樣的經驗,我們試圖將問題推廣至更一般性的情況,對於任意三角形,我們證明了以一頂點分割至多存在二分切解,進而,在這樣不失一般性的假設之下,我們推導出簡潔的判別式以判斷針對一頂點是否存在分切解;更甚,我們證實了交換解對任一三角形依然成立。最後我們也發展出針對直角三角形之分切解的尺規作圖法。

"An automatic stabilisation of three degrees of freedom – the intelligence of the Quadcopter"

Quadcopters are incredible pieces of technology. Software on the flight controller is able to simultaneously stabilise the drone in three degrees of freedom, follow commands from the pilot and take pictures. 200 times per second the flight controller therefore measures the current position and RC signal, calculates a correction and sets the according engine speeds. This is a task that could never be done by a human being.

An investigation of the inhibitory potential of Dronedarone on CYP2J2 mediated astemizole metabolism

Dronedarone is an anti-arrhythmic drug approved in 2009 for paroxysmal and persistent atrial fibrillation. It is less toxic than its predecessor Amiodarone as it does not cause systemic toxicity but has the same pharmacological activity. However the administration of dronedarone to permanent AF and heart failure patients leads to increased risk of stroke and cardiac death. The exact mechanism of the toxicity is currently unknown. Extrahepatic Cytochrome P450 enzymes play a dominant role in organ-specific drug metabolism and toxicity. Cytochrome P450 2J2 (CYP2J2) enzyme, a predominant enzyme found in human cardiac myocytes, metabolizes endogenous arachidonic acid (AA) into epoxyeicosatrienoic acids (EETs) which play an important role in maintaining normal cardiac physiology. Inhibition of CYP2J2 and perturbation of AA metabolic pathway could result in exacerbation of cardiac failure. This research aims to find out whether dronedarone inhibits CYP2J2 in a suitable cell model (H9C2) using astemizole as a probe substrate. Our in-house studies using recombinant CYP2J2 enzyme have shown that dronedarone potently inhibits CYP2J2. Rat myoblast cells (H9C2) will be seeded in 12-well plate and differentiated for 4 days. The cells will be then treated with different concentrations of astemizole and incubated for 24 h. The cells will then be harvested, lysed, and the cell lysate will be analyzed using liquid chromatography-mass spectrometry (LCMS). Using multi-reaction monitoring (MRM) on the LCMS, astemizole concentration as well as its CYP2J2-specific metabolite O-desmethylastemizole concentrations will be measured. The presence of O-desmethylastemizole confirms the metabolism of astemizole by CYP2J2 in H9C2 cells. By plotting a Michaelis-Menten kinetics curve, we will be able to determine the Michaelis constant (KM) and maximum rate of reaction (Vmax). H9C2 cells will be then treated with fixed concentration of astemizole while varying the dronedarone concentration. A decrease in metabolite O-desmethylastemizole conce ntration, indicates inhibition of CYP2J2 metabolism by dronedarone. Using this data, Lineweaver-Burke graph will be plotted, to determine the mode and potency of the inhibition. Our preliminary studies showed that the KM value was 2.7μM. This study will be useful in understanding if dronedarone inhibits CYP2J2 which may lead to clinically significant drug-drug interactions, one of the dangers of polypharmacy. Finally this study will shed a new light on the mechanisms for dronedarone mediated cardiac failure exacerbation.