四等獎

本研究主要是探討液晶面板在不同的電壓下，對紅外光區及可見光區之穿透光譜。藉由控制外加液晶面板兩側的電壓，改變內部的電場強度，驅使液晶分子長軸方向改變(偏轉)，以達到控制穿透率之目的。施加於液晶面板兩側的電壓V大於起始電壓V0時，液晶分子長軸受電場作用與電場方向平行，減弱引導偏振光扭轉之能力，讓部分光通過偏振片。令及分別代表穿透率達到最大穿透率之10%及90%時的外加電壓，則定義「光-電開關斜率」γ為：γ =(V90-V10)/V10。透射光強度與外加電壓關係曲線則稱為「光-電開關特性曲線」。穿透率除與液晶分子之旋光程度有關，我們也做了在不同電壓下，液晶分子之穿透光譜，並討論其特性。The main idea of the project is to discuss the transmittance spectra of liquid-crystal device in the range of infrared and visual light (400~900 nm) with different electric field by changing voltage. Different biases are applied to the liquid-crystal cell, causing the axis of liquid-crystal to rotate, and the transmittances are measured. If the application of bias is greater than the threshold voltage (V0), the axis of liquid-crystal will be parallel to the electric field, and make the beam pass through polaroid. Electro-optical switching slope γ is defined as γ =(V90-V10)/V10 , where V10 and V90 are the applied voltages enabling output light signal reaches up to 10% and 90% of its maximum intensity, respectively. It is understood that transmittance depends on the optical activity of liquid-crystal cells. Besides, we will discuss the relation between wavelength and transmittance of liquid-crystal cells.

流行病的傳染過程如同一個無尺度網路，但較一般無尺度網路有著更多的變數而明顯差異，因此無法直接應用一般的無尺度網路模式來描述其傳染途徑。我建立一個新模式「無尺度流行病模式」，經由比較模擬結果與疾病管制局的數據，證實此「無尺度流行病模式」是正確與確切可用，且適用於短期暴發性傳染病與長期流行病。SARS案例研究結果，顯示影響SARS疾病傳染因子的大小是：ψ>m>γ。其中降低ψ值可使SARS確定病例至5月31日止降為143人(減少確定病例190人，相當於減少死亡21人)；僅提高防疫使5=γ，亦可使確定病例減至307人(減少確定病例26人，相當於減少死亡3人)。因此強化隔離措施以減少傳染天數最為重要，且可以有效控制每日SARS新增病例，避免發生高侵襲率的現象。HIV/AIDS案例研究結果，獲知採用ψ值來進行月份模擬，則至 2005年12月HIV(+)與AIDS分別為可減少2,715與285人。而進行年度模擬結果，則至 2014年底HIV(+)與AIDS分別為可減少41,936與5,328人。無尺度流行病模式可以協助所需警戒的程度與政策決定的計畫結果。因此無尺度流行病模式在幫助政府評估社會經濟成本與健康憂慮上的有用之工具。當面臨一個全然無知的新病毒的侵襲時，如何減少死亡與傷害人數？是本研究之最終目的。因此，本研究結合了流行病、無尺度網路與灰預測，建立面對病毒侵襲，一個確切可行的對抗無尺度流行病傳染新方法，並詳細說明運作流程。\r \r \r The course of epidemic infections resembles a scale-free network. However, they are different due to more variables in the epidemic infection. Therefore, the model of scale-free networks is not enough to satisfy the reality epidemic infections. In this study, I propose a new the Scale-Free Epidemic Model. Comparison of the simulation results with Taiwan CDC report data for SARS and HIV/AIDS cases show that the Scale-Free Epidemic Model is accurate and useful. This model can be used in the short-term outbreak of infectious diseases and for the longer-term epidemics. In the SARS case study, the results show that the sequence of effect of the epidemic factors was: ψ>m>γ. The SARS confirmed cases would decrease to 143 cases (reduced 190 confirmed cases or 3 death cases) calculated to May 31, 2003, if the average infection time was reduced to two days (an optimum value of ψ). Therefore, vigorous action in isolation quarantine and treatment for SARS cases is most effective policy; the number of new cases and the attack rate would also decrease. In the HIV/AIDS case study, the simulation results of the Scale-Free Model indicates that the reduced numbers of HIV(+) and AIDS in the monthly simulation calculated to December 2005 are 2,310 and 361 and the annual simulation by December 2014 are 27,161 and 3,710. The Scale-Free Epidemic model can help determine the level of caution needed and the projected results of policy decisions. Therefore it is a useful tool in assisting the government to balance socio-economic and health concerns. The fight against a new epidemic and how to reduce the number of deaths is the main purpose of this study. So, a new method to fight against epidemics is proposed. Detailed procedures of this method are explained.

The special life cycle of the Nymphoides indica: The veins and petioles of the pleustonic leaves can asexually reproduce adventitious buds. Pleustonic adventitious buds will change the density of the plants and sink into water. When the root of submersible plants attaches to the bottom of the pool, they will extend stems to the water surface and resume the life cycle. Reticulate sigmons and astral sclerenchyma appears in the process of transformation. Astral sclerenchyma merely appear in the species of which its leaves float above the water surface, and Nymphoides sp. are the most obvious. The cell wall thickness of astral sclerenchyma is even. The cells are hollow and full of water, and they will utilize water to change turgor between axes and spines. This is also proved in imitating experiments. The reticulate sigmons are frequently seen among aguatic plants, and the horizontal structures prevent air space from collapsing. These two structures make the thin stems of Nymphoides indica sustain the leaves instead of being crushed by the floating water. 印度莕菜 ( Nymphoides indica )獨特的生長週期：浮水型葉的葉脈和葉柄可以無性繁殖不定芽，浮水型的不定芽會改變植株的密度而沉入水中，當沉水型植株的根系在池底固著後，便會以莖延伸出水面，再次展開浮水型葉的成長週期。轉變過程中會出現網狀的橫膈和星狀厚壁細胞。星狀厚壁細胞僅出現於葉片需由水中浮出水面生長的植物種類，而莕菜屬植物更明顯。星狀厚壁細胞其細胞壁厚度均勻，細胞中空且充滿水分，會利用水分在中軸與突起的棘間移動來改變膨壓變化，在模擬的實驗中也得到證實。網狀的橫膈在水生植物中是較常見到的構造，水平方向的支撐可以讓氣室不會塌陷，兩種構造的作用下使得印度莕菜細長的莖能夠支撐葉片，不會被流水沖斷。

經食道超音波 (TEE) 是診斷心血管疾病的重要方法之一，目前一般的診斷中，都是由心血管超音波影像的空間分布，藉以了解心血管的狀況或是阻塞的情況；以及用超音波都卜勒影像，觀察血液在血管中的流動。在這個研究中，我們嘗試用主動脈超音波影像圖形隨時間的變化，作為新的診斷方法，藉以定量地診斷出主動脈硬化的情形。研究過程中，我們將主動脈模擬為受到心臟之週期性壓力驅動之阻尼振盪器，其中主動脈之硬度變化即相當於阻尼因子。由心血管超音波圖形隨時間變化的分析中，測量出 “主動脈擴張到最大時” 相對於 “心電圖中的R-尖峰” 之間的延遲時間，理論上，此一延遲時間即可反應出主動脈硬化的程度。我們由10個樣品的資料中，對每個樣品進行大約50至100次心跳的分析。初步的研究成功地發現：上述之主動脈擴張延遲時間超過0.17秒時，即明確地顯示出樣品具有主動脈硬化之現象，而且此一方法也可由數據的分佈發覺心血管之其他病徵。未來仍需應用此一方法對較多樣品進行研究以確定此診斷方法之可靠性，並且由體外攝取主動脈超音波影像進行分析，藉以取代經食道超音波的方法，增加診斷的方便性以及減少病患之痛苦。 Echocardiography is a very important tool for the diagnosis of cardiovascular diseases. Important information about the intracardiac blood flow, shunt direction and cardiovascular system function can be obtained by echocardiography due to its high spatial resolution capability. However, seldom message is known about the aorta stiffness. This research investigated a new method to quantitatively analyze the aorta stiffness. The aorta was modeled as a periodic-force-driven damping oscillator, in which the stiffness of aorta was simulated as the damping factor. From the temporal analysis of the echocardiographic images, the delay time of the maximal aorta distention relative to the R-peak of electrocardiographic trace was measured to study the damping and stiffness of the aorta. The preliminary study successively found that a delay time greater than 0.17 sec could be a criterion to diagnose that the aorta is quite stiff. This method could also clearly discern some abnormal cardiac performance. A large scale study with this method should be conducted in the future.

本研究主要針對蝴蝶之飛行進行探討，研究中主要探討蝴蝶翅膀形狀、身體重量、翅膀面積、展弦比、拍翅頻率及環境溫度對飛行速率之影響，並利用自製之風洞裝置，觀察蝴蝶之翼翅運動，分析通過蝴蝶模型之氣流方向及相關氣動力。研究結果顯示：紋白蝶展翅約4.5~5 cm，平均展弦比(AR)為1.71 ± 0.12，身體重量約為0.06± 0.02 g，翅膀面積約0.0012 ± 0.0003 m2，當紋白蝶身體重量愈重，則翅膀面積愈大(R2=0.9586)。另外，紋白蝶身體重量愈重、展弦比愈小，則飛行速率亦愈快(R2=0.5559、R2=0.4726)。23℃時，紋白蝶飛行速率為1.01±0.24 m/s，當環境溫度愈高(5、16、23℃)，則飛行速率亦愈快(y=0.07x＋0.7733，R2=0.6967)。風洞實驗發現：蝴蝶會逆風而飛，當風洞的風愈強，蝴蝶翅膀拍動角度愈大，且快而持久，仰角也變大(45 度)；蝴蝶翼尖軌跡呈八字形，翼翅運動包含線性平移及旋轉；蝴蝶拍翅時，可在翅上方及前方產生低壓帶，在後方產生高壓帶，以利蝴蝶向前方飛行。另外，翅緣彎曲角度(上反角)愈大，蝴蝶模型之上升高度亦愈高，當上反角60°時，蝴蝶模型之上升高度最高(2.2±0.1cm)。This research approaches the flying ability of butterflies. Our research mainly discusses the weight, aspect –ratio of butterflies, frequency of flapping, and the shape, surface area of butterflies’ wings, and the connection between temperature and flying velocity. More over, we use the wind tunnel which was made by us to observe the movement of butterflies’ wings and analyzed the direction of airflow and aero-elastic which pass through the wind tunnel. Our research shows that Pieris canidia’s length of wings is about 4.5 to 5 cm. The average of aspect –ratio (AR) is 1.71±0.12 . Its weight is about 0.06±0.02 . And its surface area is about 0.0012±0.0003 m 2 . The heavier Pieris canidia is, the bigger its surface area will be (R2 =0.9586). In addition, the heavier it is, the smaller its aspect –ratio will be (R2 =0.5559, R2 =0.4726), and the swifter its flying velocity will be. When it is 23°C, the flying velocity of Pieris canidia is 1.01±0.24m/s. The hotter temperature is (5,16,23°C), the swifter it flies (y=0.07x+0.7733,R=0.6967). Accroding to the detect of the wind tunnel’s experiment , the butterflies will fly on luff. When the stronger the wind of the wind tunnel is, the larger the angles of wing’s flap are. And they are fast and lasting, the elevation also becomes larger (45°). The butterflies’ trochoids of wings mimic the word “eight”, and the movement of wingspan includes parallel movement of linearity and wheel. When butterflies flap, it will amount depression upon and in front of the wings, amounting the high pressure on the back so that butterflies can fly antrorsely. Furthermore, the larger the curvy angle of marginal wings (Dihedral) is, the higher the ascending height of model butterfly will be. When dihedral is 60°, the ascending height of model butterfly is the highest(2.2±0.1 ㎝).

At the website “MathLinks EveryOne,” we found a problem “Snakes on a chessboard,” which was raised by Prof. Richard Stanley. The following is the problem. A snake on the m n chessboard is a nonempty subset S of the squares of the board with the following property: Start at one of the squares and continue walking one step up or to the right, stopping at any time. The squares visited are the squares of the snake. Prove that the total number of ways to cover an m × n chessboard with disjoint snakes is a product of Fibonacci numbers. We call the total number of ways to cover a chessboard with disjoint snakes “the snake-covering number.” This problem hasn’t been solved since it was posted on September 18, 2004, so it aroused our interest to study it. First, we used the way in which we added each block to the chessboard, and therefore we discovered some regulations about the snake-covering number of the1 × n , 2 × n and 3 × n chessboard. Through “recursive relation” and “mathematical induction”, we proved the general term of the snake-covering number of the1 × n , 2 × n and 3 × n chessboard. In the following study, we found a key method in which we added a group of blocks to the chessboard. Finally, we proved the general term of the snake-covering number of the m × n chessboard. Also, we discovered the way to figure out the snake-covering number of the nonrectangular chessboard.在網站“ MathLinks EveryOne ”中，我們找到了一個有趣的問題“棋然上的蛇” ( Snakes on a chessboard ) ，這個問題是由教授 Richard Stanley 所提出。問題如下：在m x n棋盤形格子上，蛇由任意一格出發，但蛇的走法只能往右 → ，往上↑，或停住 ‧ 若此蛇已停住，將由另一條蛇來走，且不同蛇走過的格子不可重疊”證明：將 m × n 棋盤形格子完全覆蓋的總方法數為費氐（ Fibonacci ）數列某些項的乘積。我們將把棋盤形格子完全覆蓋的所有方法數稱之為“蛇填充數” 由於這個問題自從 2004年 9 月 18 日被登在網站上後，還沒有人提出解答，於是引發了我們研究的興趣。首先，我們使用了將一個一個格子加到棋盤上的方法，並發現了 l × n 、 2 x n、 3 × n 棋盤形格子蛇填充數的一些規律。我們使用遞迴關係及數學歸納法來證明 l x n 、 2 x n ， 3 × n 棋盤形格子蛇填充數的一般項。在接下來的研究中我們發現一個特別的方法，一次增加數個方塊 ‧ 最後我們證明了，m x n, ，棋然形格子的蛇填充數的一般項 ‧ 而且，我們也找到如何求出不規則棋盤形格子的蛇填充數。

罹患神經母細胞瘤的兒科病人，尤其是罹患stage IVs 神經母細胞瘤者，他們有些伴隨著非常嚴重的貧血，但卻檢測不出神經母細胞瘤已經侵犯骨髓；有時病情來勢洶洶，尤其是腫瘤細胞中已可偵測到N-myc 基因增幅者，診斷時腫瘤細胞可能已在腹腔四處擴散並已侵犯大部分的肝臟。但是，某些這種病患，特別是腫瘤細胞中N-myc 基因沒增幅者，即使在沒有治療的狀況下卻可能有自然恢復的現象，也就是腫瘤細胞會自動消退，但原因仍待進一步的證實與探討。可是，這些病人在其病情最嚴重的時候，骨髓內紅血球母細胞形態上的改變顯示可能與病毒感染有關。但是關於病毒來源的研究，現有的資訊仍然十分有限，其中最重要的是，病毒感染與引發其後天之免疫作用是否有關，更需要深層的研究。因此，為更進一步了解罹患神經母細胞瘤之兒科病人的病毒感染及病毒蛋白表現的作用，我們這次研究的目的在檢驗罹患神經母細胞瘤及貧血之兒科病人與微小病毒B19 (PVB19)、Epstein-Barr Virus (EBV)、腸病毒71 型(EV 71)和巨細胞病毒(CMV)的關係，以及病毒蛋白表現對這些病人的作用與臨床意義。In pediatric patients with neuroblastoma, in particular, those with stage IVs neuroblastoma, sometimes the disease was combined with severe anemia. However, no tumor involvement was detected in the bone marrow. Although some of these patients may have N-myc gene amplification, and the disease could have invaded many abdominal organs, especially liver, interestingly, the disease might regress spontaneously in some of these patients. The medical reason of the spontaneous regression, nonetheless, remains to be determined. It is worth noting that morphological changes of erythroid progenitor cells in the bone marrow have suggested virus infection in these pediatric patients. However, the available information of viral origin is limited. Furthermore, it is possible that the virus infection in these patients could be associated with the revocation of immune responses related to the spontaneous regression of the tumor. In this study we will investigate the relationship of parvovirus B19 (PVB19), Epstein-Barr virus (EBV), enterovirus 71 (EV71) and cytomegalovirus (CMV) with neuroblastoma by PCR in Taiwanese pediatric patients. Moreover, we will study the effect and the clinical significance of viral gene expression as well as N-myc gene amplification in these patients.

本實驗主要是研究閉管駐波的發聲原理。何謂「閉管駐波」？就是一個管子在相同長度下，用不同的力道吹，會有不同音高的聲音產生，這些音被稱為「諧音」。原管長所能發出的最低頻率稱作「第一諧音」，第二低的聲音稱作「第三諧音」，依此類推。在簫的演奏上，只要按住同樣的孔，用較大的力量吹，也同樣會發出較高的音；同樣地，在曲笛的演奏技巧上，有平吹、急吹等分別。為什麼吹越用力，音就越高呢？如果現在拿一個大吸管吹（要裝活塞），你會發現，只有在特定的位置（角度）下，才能吹出聲音。那麼，角度對於聲音也有影囉？這些現象的幕後黑手，就是在管口產生的「渦流」，渦流頻率也會隨著風速而增加；而且，渦流的頻率在特定風速下，會有特定的範圍。經由實驗可以大略歸納出，影響閉管駐波的三個主要變因，分別是「風速」、「風吹角度」、及「吹口至管口的距離」。吹得越急，風速就越快，渦流頻率越高，越易使諧音躍遷；吹的角度越小，越易產生渦流，亦易引發聲音；吹的距離越小，渦流越不?定，越易產生其他的擾動。以上就是本實驗的概略。This project is aimed to fine out how the closed tube can produce a sound. We know what harmonics are. When we hold a big straw and blow with increasing strength (the bottom should be in water), it will generate a higher sound. The high sound is called “harmonic”. The lowest sound it can make is “the first harmonic”, the second lowest sound is “the third harmonic”, and so forth. Likewise, when we press the same key on vertical bamboo flute with increasing strength, it’ll also produce a higher sound. But why do we use the strong air stream to blow the tube to cause the tone to transfer? Now let’s blow a straw flute. You will find that you need to blow in the particular position, and then the sound will be produced. So, is there any relationship between the blowing angle and the frequency? Actually, all these sound are produced by “vortex in the mouthpiece.” The frequency of vortex will increase with the wind speed. Moreover, the frequency of vortex has a range. In sum, the higher the wind speed is , the higher the frequency of the vortex is , and leads to the higher frequency of the sound. The smaller the blowing angle is, the easier the vortex will be produced; the easier the frequency will be made. The smaller the distance between the blowing angle and the frequency is, the more unstable the frequency will be. The above is the most important research in this project.

機械加工過程中往往遇到形狀複雜工件，無法用一般虎鉗夾持進行加工。若需加工複雜工件時，需使用V 形槽、壓枕……等等夾具加以輔助，但有些夾具根本無法夾持。若用特殊夾具需拆除原有之虎鉗，而且還必須校正，工作繁雜又浪費很多時間。 本設計之優點為不需更換虎鉗，直接放在虎鉗鉗口即可夾持不規則的物體，利用正向力的作用夾持而不打滑，輕易達到夾持時之穩定和足夠之夾持力，以達迅速、不需使用特殊夾具、不需再校正、可當平行塊之多功能夾具，使複雜形狀之工件加工簡單化、迅速化之設計。;When handling workpieces in complicated and irregular shape in the mechanical process, users are unable to make it with ordinary vises. V-block and clamping block might help, while some others do not work at all. In such cases, the user has to tear the vise apart and then do some correction, which is complicated and time-wasting. The strength of this design is that there is no need to replace the vise. The user just puts this device on the vise clamp to clamp the irregular object. The vertical clamping force makes the piece at work stable and allows no slipping. With this device, no special fixture or further correction is needed. It can also be used for a parallel block if necessary. In other words, as a fixture of multiple functions, the device makes the processing work simpler and more efficient than ever.

在哺乳動物裡，硫酸化是一種參與外來物解毒作用、內生組織的荷爾蒙調節、藥物代謝及膽汁解毒之重要路徑。其中， SULTZ ( hydroxysteroid sulfotransferase ）是能進行上述反應的酵素之一，為了對 SULTZ 的功能與早期發育所扮演的角色作進一步的研究，在本實驗中，我們以班馬魚為模式動物，希望藉由原位雜交法（ in situ hybridization ）找到 SULTZ 在班馬魚早期胚胎發育的 RNA 表現位置。由目前的實驗結果，發現從卵巢到1-cell、 dome 、 50 ％一 epiboly 、 12 小時，都可在胚胎細胞看到訊號表現 · 在 24 小時、 36 小時、 48 小時、 72 小時則可在脊椎兩側體節的肌肉、內胚層、嗅窩、頭部看到訊號表現，此外，在成腦的原位雜交染色結果中亦看到了訊號表現。由此可推論 SULTZ 在斑馬魚早期發育確實扮演了重要的角色。Sulphonation is an important pathway for detoxification of xenobioties, bile acids, drug metabolism, and the regulation of endogenous hormones. SULT2 (hydroxysteroid sulfotransferase) is one of the enzymes which catalyse sulphonation. Zebrafish has emerged as a popular animal model in recent years. Compared with other vertebrates, it provides advantages including ease to get embryos, rapid external development, virtually transparent embryos and ease of genetic manipulation. The above-mentioned strong points made zebrafish a good model animal for us to understand the function of SULT2 during early embryonic development. We performed in situ hybridization to find out the RNA expression of SULT2 during zerbrafish early development. According to our present results, we can detect expression signal on the edge of telencephalon and tectum opticum. the edge on the dorsal zone of corpus cerebelli and ventral zone of periventircular hypothalamus of the adult brain. Besides, we can observe signal evenly distributed in blastocytes of the embryo at 1-cell, dome. 50%-epiboly and 12 hours after fertilization. We also find signal on the muscle next to the spinal cord during the stages of 24, 36, 48 and 72hrs. There are also expressions on hypoblast of embryos at 24, 36 and 72hrs, the olfactory pit at 36 and 4hrs, and strong expression in head region at 48 and 72hrs. These results suggest that SULT2 may have some function at the early development of zebrafish.