DcR3是腫瘤壞死因子6B的成員（Tumor necrosis factor receptor superfamily），又稱為TR6或M68。DcR3會藉由與Fas Ligand, LIGHT或TL1A等細胞表面配位結合，阻擋T細胞的死亡訊息傳輸，保護該細胞免於細胞凋亡；另外，DcR3也會與抗原呈現細胞的硫化肝素糖蛋白結合，誘導未分化之T細胞發育成能減少自體免疫疾病發生的Th2細胞，顯示DcR3有充分作為自體免疫疾病預防之藥物的可能性。因此我藉本實驗探討DcR3對T細胞分化與發育造成的影響與造成此一現象的原因。 根據實驗結果，我們發現DcR3不僅有上述之功能，更能增加調節型T細胞（Treg）這種抑制免疫反應的特殊T細胞表現量，若能藉由Treg調控免疫系統活力，將可改善易般免疫抑制劑治療造成病人免疫力下降之缺點。因此我藉由NOD小鼠，實際檢測DcR3在活體中對抗自體免疫疾病發生的能力，並以DcR3與T 細胞之交互作用實驗，探討現象的成因。根據實驗結果，在Somatic gene therapy和Protein therapy的實驗中，皆可看出疾病延遲發生的現象。而在DcR3對T細胞存活率的影響方面，可看出DcR3並不會造成T細胞之異常死亡。故我們推測DcR3可藉由增加Treg表現量減緩或降低NOD小鼠糖尿病的發病。 因此我們認為DcR3非常有潛力作為未來自體免疫疾病預防或移植手術後用以抗排斥之藥物。

Smoothened (SMO) is a critical component of Hedgehog (HH) pathway that is essential for stem cell renewal and is dysregulated in many cancer types. SMO is a seven transmembrane domain protein with three intracellular loops. Primary structures of SMO intracellular loops are unique and very much conserved among the species, which is indicative of significant and unique roles in intermolecular or intramolecular interactions. The hypothesis was that synthetic analogs of SMO intracellular loops may function as HH pathway inhibitors. Derivatives of second intracellular loop were synthesized utilizing automated solid phase peptide synthesis based on Fmoc chemistry. Peptides were purified by HPLC and there anti-proliferative activity tested on melanoma cells by MTT assay. Targeted libraries of second loop derivatives of varying length helped to identify compounds that inhibited the growth of melanoma cells in vitro with IC50 in nanomolar range. The most potent of antagonists obtained is the palmitoyl derivative of the Nterminal half of the loop, and is 12 residues long. Lipidation proved to be critical for the activity. Remarkably, retro-inverso versions of the peptide, in which all amino acids are in D-configuration, are even more potent and have IC50 in subnanomolar range. Circular dichroism studies proved that the peptides are folded both in aqueous solutions and in the presence of lipids mimicking the membrane environment. They also suggested that retroinverso analogs have a different fold, which may contribute to higher activity. The new compounds are promising drug candidates and present convenient tools for solving the\r mechanisms of hedgehog signaling.

Electrocardiograms are important medical devices used to monitor the cardiac activity of patients over a period of time. Designed to provide convenient monitoring of patients, although most useful, ECG’s however are expensive and usually not portable, limiting its availability and therefore usefulness. Taking advantage of current technological developments, the researchers developed an ECG System with Androidâ„¢ smartphone based monitor, and Bluebeat© ECG Front circuit based electrodes. The system is divided into two, software and hardware interface. The developed software interface code used an Android based Java language which displays the converted ADC values in the LCD. Saving and user friendly features were also included in the smartphone. The hardware interface is composed of the ECG front and the Data Acquisition Module. The ECG front contains the filters and amplifiers that will receive the human cardiac signal. The DAT Module will then receive it with its Gizduino (Arduinoâ„¢ clone) microcontroller which converts the analog signals into ADC values, and finally sends it to the smartphone using Bluetooth© wireless communication. The first phase of data gathering used signal generator and indicates the system’s accuracy and speed. The second phase testing of the study meanwhile utilizes the ECG front to get actual cardiac signals from human. This phase has already been done, though it still needs more polishing and further trials. For the final testing, nine patients of varying ages and cardiac health status will be taken with ECG readings, three replicates from the developed ECG system, and one from an actual ECG device. Using cardiologists’ and patients’ feedback, the user friendliness and accuracy of the ECG-system will be confirmed, and further modifications shall be made. Lastly, the overall cost of producing the ECG system shall be compared to the price of an ECG device, to see if the developed system is indeed cheaper. However, it is ensured that the system is far more portable than its bulkier ancestors. Once the project is fully finished, the accuracy, replicability and usefulness of the system shall be confirmed using F-test.

此項研究是用溶氧計連續偵測培養液中之溶氧量，藉以分析固氮\r 單胞藻RF-1 的光合韻律。實驗的結果清楚地看出RF-1 之光合韻律，\r 而且能夠清晰地觀察到其中光合作用、呼吸作用和固氮作用之間的相\r 互關係。研究中還發現：在不進行光合作用時，RF-1 的固氮作用也\r 會停止；另一方面，在有進行光合作用、但是停止固氮作用的狀況下，\r RF-1 光合作用之韻律現象會喪失。這些實驗結果值得未來更深入地\r 探討。報告中也包括了單胞藻PCC6803 的光合韻律實驗，藉以做為\r 有固氮能力與沒有固氮能力藍綠藻之間的對照。The variation of dissolved oxygen (DO) in the culture of the\r unicellular nitrogen-fixing cyanobacterium Synechococcus RF-1\r under diurnal light/dark condition was detected automatically by DO\r meter. The results indicated that the algae exhibited circadian\r photosynthetic rhythm. The results also revealed that a respiration\r rhythm occurred at dark phase when the culture was grown in\r nitrogen-free medium. There was correlation between the rhythm of\r photosynthesis and nitrogen fixation. The nitrogen-fixing activity\r could not be detected if the photosynthesis was stop by cultivated\r under continuous darkness. On the other hand, the rhythm of\r photosynthesis could not persist when the nitrogen-fixing activity\r was inhibited by NaNO3. In order to compare the difference\r between Synechococcus RF-1 and the cyanobacterium, which\r cannot fix nitrogen, the DO pattern of Synechocystis PCC6803 was\r also investigated.

(一) 本研究首先導出ΔABC等分面積線移動所包絡出的曲線方程式，其圖形是由等分面積線段PQ(其中P、Q皆在ΔABC的周界上)的中點所構成，具有3 條曲線段(分別為3 條雙曲線之一部分)的封閉曲線，形成內文所謂的「包絡區」。利用包絡區的區隔，我們找出：1.當P 點在包絡區內，則有3 條等分面積線。2.當P 點在包絡區周界上，則有2 條等分面積線。3.當P 點曲線段的端點或在包絡區外，則有1 條等分面積線。(二) 以三角形的研究當基礎，擴展到凸n 邊形(不包含點對稱圖形)，我們發現：等分面積線數量之分布，仍然與包絡區息息相關，且1.凸2m +1邊形最多有2m +1條等分面積線。2.凸2m邊形，必發生內文所謂的「換軌」。因此，最多只有2m ?1條等分面積線。3.包絡曲線所分割出的區域，於相同區域其等分面積線數量相同，且相鄰兩區域數量差兩條。(三) 若凸n邊形有k個「換軌點」，則此n邊形過定點等分面積線至多有n ? k 條。(四) 若凸n 邊形為點對稱圖形(如正偶數邊形、平行四邊形)，則所有等分面積線皆過中心點。1) Our study got a curve equation of bisectors of a triangle. When a bisector is moving, we get three curves. They’re constructed by the midpoints of PQ. The three parts of the three curves make a closed curve which we called “the Envelope Area”. We found out:\r 1. When Point P is in the Envelope Area, we can get 3 bisectors. 2. When Point P is on the curves of the Envelope Area, we can get 2 bisectors. 3. When Point P is outside of the Envelope Area, we can get only 1 bisector. 2) Based on our study of triangles, we found that in Convex polygons(not including Point Symmetry Convex polygons), the distribution of bisectors is related to the Envelope Area. 1. We can get at most 2m +1 bisectors in a 2m +1 Convex polygon. 2. We can get at most 2m ?1 bisectors in a 2m Convex polygon, and the bisectors on the curves will “Change the Track”. 3. Envelope curve will divide a Convex polygon into several areas. The same area has the same numbers of bisectors, and the near areas have less or more 2 bisectors. 3) If a Convex polygon has k points to change the track, it will have at most n – k bisectors.\r 4) In a Point Symmetry Convex polygon (ex. Regular 2m convex polygons and parallelograms), all the bisectors will come through the center point.

本研究以模擬實驗探討波浪在斜坡海灘上的行為。實驗在長1.8公尺、寬0.75公尺的透明水波槽中進行，以長0.90公尺、寬0.60公尺的木板在深水區產生單峰波向淺水區前進，同時以數位錄影機錄影後進行分析。結果發現單峰波由深水進入淺水，波速會變慢，但當波高對水深的比值增加到一定值時，波速隨水深變淺而變快，波高也變高。當比值繼續增加，波前方的水面形成垂直的水牆，接著波就碎了。如果坡度較緩，碎波點會離水岸線較遠，水牆維持的時間也較長。有趣的是，水波槽中的單峰波移動時，有蠕動現象，波寬會伸縮，波高會起伏，波速也會些微地忽快忽慢。 ;This study simulates the behavior of the wave on a sloping beach. Experiments are performed in a sloping wave tank. A paddle wave maker at the deeper end generates single crest waves. To analyze the wave height, speed and breaking point, a digital camera is used. The results show that when the wave moves toward the coast, the shallower the water is, the slower the wave moves. But when the ratio (wave-height/water-depth) exceeds a critical value, it turns out that when the water is shallower, the wave speed becomes faster and the wave height, higher. As the ratio keeps on increasing, the front part of wave becomes a vertical water-wall, and then breaks. If the slope is gentler, the breaking point will be farther from the coast and the water-wall will keep for a longer time. An interesting phenomenon is also found that a single crest wave squirms with slightly undulated changing of width, height, and speed while it propagates in the sloping wave tank.

Tea is the most widely accepted and consumed beverage worldwide due to its characteristic aroma and taste. Recent studies have provided the strong scientific basis for understanding the health promoting effects and cancer preventive actions of tea. The components of tea especial the catechins are varied with the conditions of making tea. To understand and determine the chemical composition of tea is very important. Some investigations of the parameters on the storage and making of tea were carried on in this study. The kinds of tea studied were including black tea, oolong tea, green tea, and instant tea bags. A high performance liquid chromatograph combined with UV detector and mass spectrometer used to analyze the components of tea. The results showed that the composition of tea solution is dependant of the exposure of light. One of the components of tea, (-)-epicatechin methylgallate (ECMG) was oxidized to quino form. The concentrations of (-)-catechin gallate (ECG) decreased and one of new compound (M.W. 442) produced with increasing the storage time. From the results show tea made with cold water is better than that made with hot water. The ingredients in green tea were changed faster than those in fermentative black tea and oolong tea. The components of tea can be kept unchanged for a long time at low temperature. In refrigerator, the time can be extended to overnight. 茶由於其具有特殊的芳香氣味及口味，廣泛地被世人用為飲料，近年來的研究證據顯示茶具有促進身體健康和防癌功效，但茶中成分之變化，尤其兒茶素隨茶的種類、茶沖泡保存方式及置放時間而有所不同，因此對於茶中成分及沖泡方式的認知是一門重要的課題。 本實驗主要是探討茶沖泡時間及貯存條件，對於茶液所含兒茶素變化的影響，探討的茶包含紅茶、烏龍茶、綠茶及其茶包。並使用質譜儀及高效能液相層析質譜儀配備紫外光偵測器分析茶液中之成分，實驗結果顯示成分變化速率以未發酵的綠茶較發酵的紅茶和烏龍茶快；低溫儲存時，亦可延緩茶液成分的變化，例如加蓋並存放於冰箱，則茶置放至隔夜其成分均未改變；同時結果顯示成分產生變化者，主要為兒茶素氧化，如將多酚類氫氧基經氧化變成?（quino） ，其次為斷裂再產生聚合其中綠茶以不照光變化較大。本研究並經實驗發現如果以冷開水沖泡綠茶20~30分鐘，咖啡因的溶出量雖略多於沖泡2分鐘的熱茶，但各種兒茶素的溶出量卻遠高之，尤其置放至隔夜茶液成分仍無氧化現象。

The purpose of this project is to create a project that can improve the quality and the production of the merchandise and also to prevent a 100% of mistakes in the electronic components which are complicated to detect or not detectable for us when we are making a circuit. Other of the purpose of this project is to prevent the bad production in the products which are elaborated in a company and then to check if the employee is working well, in that way the company will be able to avoid the bad production and it will be more profit for the company thanks to the products.

本研究探討運用磁場來達到非接觸煞車的功能，本實驗採用兩種方式來探討磁煞車力，分別為馬達有外加電流及沒有外加電流的情況。首先本實驗提供一穩定的電源使鋁盤轉動，觀察加上磁場及把電源切掉後鋁盤轉速的變化。實驗發現，當馬達沒有外加電流時，磁煞車力與轉速及磁場平方皆成正比；馬達有外加電流時，電流差會與轉速平方差成正比。探討磁煞車力與厚度及介質的關係，實驗結果發現，渦電流常數與厚度成正相關，且當兩片鋁片中夾有介質時，渦電流常數較小。 This experiment is based on the magnetic brake’s practical uses and braking forces. We want to calculate the braking force, and also examine the factors that cause the braking force to differ.We attached a metal disk to a motor to make the disk rotate, then we control the distance between the magnet and the metal disk, therefore measuring the relativity of the distance and the rotational speed. We discovered that when the metal disk received a large quantity of the magnetic field (close distance), the breaking force and the rotational speed increased. On the other hand, when the metal disk received a small amount of the magnetic field (far distance), the breaking force and the rotational speed decreased. The magnetic braking force will convert into kinetic energy, thus, by using this connection and also by increasing the electric current to measure the resistance, we calculated the magnitude of the magnetic braking force. Hence we perceived an inverse ratio between distance and the braking force, that is to say, the closer the distance, the stronger the magnetic braking force; the further the distance, the weaker the magnetic braking force.

在2003 年台灣國際科展之作品說明書「Concatenating Squares」中【9】與2004第三屆旺宏科學獎「SA3-119 ：與特殊型質數之倒數關聯的兩平方總和的整數分解」成果報告書中【10】，就已有令人驚訝的結果。在2005 第四屆旺宏科學獎「SA4-298 ：分和累乘再現數產生的方法及其性質探討之推廣與應用」成果報告書中【11】，更是以逆向思維進行研究推廣，創造出許多新穎且引人注意的美麗數式，由原創性的觀點來進行逆向思維的研究。正由於這些再現數充滿奇巧，且與不定方程（代數）、簡單的數整除性分析（數論）以及同餘式理論都有所關聯，我們要發展前所未有的同步關聯與研究分歧， 且是最新的發現，更以豐富的想像力、創造力與推理能力提出令人耳目一新的重要結果，得到許多從未見過世面的美麗數式，回眸觀賞時內心充滿了數學之美！;Number which when chopped into two（three）parts, added / subtracted and squared（cubed） result in the same number. Consider an n -digit number k , square it and add / subtract the right n or n .1 digits. If the resultant sum is k , then k is called a Kaprekar number. The set of n -Kaprekar integers is in one-to-one correspondence with the set of unitary divisors of 10 n m1. If instead we work in binary, it turns out that every even perfect number is n - Kaprekar for some n . We wish to find a general pattern for numbers these numbers cubed or 3-D Kaprekar. We also investigate some 3-D Kaprekar of special forms. In addition, some results relating to the properties of the Kaprekar numbers also presented. This study indicates the “interesting” and “pragmatic” natures of the research project. We have developed the original results based upon his initiatives and has thus created a new horizon through the research project. This is the proudest achievement for this study. Generalization of Some Curiously Fascinating Integer Sequences：Various Recurrent Numbers！

A study was done to determine if the antioxidants found in peanut hulls could be used\r for lessening the corrosion rate of iron. Peanut hulls were ground then divided into two\r batches, P1 and P2, then oven-dried at temperatures of 50°C and 60°C, respectively. The\r moisture content of each batch was then determined before performing methanolic extraction\r to isolate the antioxidants. Eighteen iron strips of approximately the same surface areas were\r thoroughly cleaned and weighed, then divided into six groups. The iron strips in the first five\r groups were respectively coated with pure extract from batch P1; a 1:1 mixture of P1 extract\r and turpentine; pure P2 extract; a 1:1 mixture of P2 extract and turpentine; and pure\r turpentine. No treatment was done on the sixth group. All iron strips were exposed to air to\r allow formation of rust thru atmospheric corrosion. After 12 days, the iron strip were cleaned\r and weighed; then the individual corrosion rates of the metals were determined.\r The corrosion rates of the metals treated with pure P1 extract, the P1-Turpentine, and\r the P2-Turpentine mixtures were found to be significantly lower than the corrosion rates of\r the metals without treatment, at 5% level of significance in a t-Test for independent samples.\r The average corrosion rates of all the treated metals were found to be lower than that of\r metals treated with pure turpentine, though not significantly. The corrosion rate of the metals\r coated with turpentine was not significantly less than that of untreated metals. The corrosion\r rates of the metals were also found not to be dependent with the moisture as there was no\r significant difference in the mean corrosion rates of metals treated with P1 extract and those\r treated with P2 extract, with or without turpentine.\r The project has shown that peanut hull extracts can be used to lessen the production\r of rust on the surface of the metal. Moisture content of the hulls was not found to be a factor\r in lessening the corrosion rate.

In this work I make the analysis of the possibility of the existence of the number system with non-natural base & its investigation. The question examined in my work is totally opened:\r ‧ making the list of new characteristics, rules of the translation of the numbers, and also rules of the simple calculating operations, checked the operations of subtraction & division;\r ‧ checked the Euclidean algorithm, its characteristics by means of estimating the coefficients;\r ‧ found the practical appliance of new method in compiling & solving of the tasks.\r Investigation I’ve suggested stipulates for independence of new system & its appliance in type of tasks, that is beyond the course of school program & also beyond the whole system of school education.