摺紙數列-相關問題探討
1. 遊戲規則：將1～ 2m × 2n的連續正整數，由上而下、由左而右依序填入 2m × 2n的方格內。操作規則允許將2m × 2n做往右或往左或往上或往下的完全對摺，直到操作至所有單位方格均疊成一行，此同時有數字也由上而下形成一數列。2. 本研究即是探討操作完成的數列之數量與數字間的關連性。3. 我們發現：(1) 數列之數量與巴斯卡三角形有關。(2) 形成的數列必符合內文的 [ R(L) 性質]、 [ D(U) 性質]、[ R&D 性質]、[D&R 性質]。
1. Rules of thegame: Fill in order the continuous positive integers 1~ 2m × 2n, from top to bottom and from left to right in the 2m × 2n check. The operational rule allows a complete fold of 2m × 2n either rightward or leftward, or upward or downward, until all the check units pile up in a line. At the same time, all the integers form a series from top to bottom. 2. This study explores the relationship between the number of the series and the integers after the operation. 3. Our findings are: (1) The number of the series is related to Pascal triangles. (2) The series formed meet the properties mentioned in the study: [the property of R(L)], [the property of D(U)], [the property of R & D], and [the property of D & R].
本土藥材金銀花的研究與分析
本實驗以薄膜色層層析（TLC）、高效能液相層析（HPLC）分析等化學方法，進行金銀花品種差異的鑑識；此外，配合生藥學的顯微鏡檢視，如中藥材組織鏡檢、藥材粉末鏡檢等比對，以期找出辨別金銀花品種的方法。研究至目前為止，由金銀花之薄膜色層分析的Rf值（0.225、0.425、0.7、0.85、0.95）可確認出金銀花藥材，並得知金銀花藥材中皆含有綠原酸的成分；以高效能液相層析的圖譜與成分峰的積分面積可用來判別金銀花的品種，並從質譜分析瞭解成分含量；進行生藥學的藥材粉末組織鏡檢，發現無法作為金銀花藥材的分類憑藉。未來將持續延伸實驗，朝向中藥奈米化與一般粉末在藥效、成分上差異的比較，並進行金銀花萃取液的抗菌作用試驗，瞭解不同品種之金銀花藥材在藥理作用的異同，接續著奈米化藥材的應用與實踐。Using thin layer chromatograph (TLC) and high performance liquid chromatography (HPLC), we can study how to differentiate the species variation of honeysuckle; beside, based on the observation of biopharmaceutical microscope, such as comparing the histology of Chinese herbs and its powder, we suggest that we could differentiate the species of honeysuckle. From the present, firstly, we could distinguish the honeysuckle from other herbs by the Rf value of TLC(0.225, 0.425, 0.7, 0.85, 0.95), from which we find that all honeysuckles contain the component of Chlorogenic acid. Secondly, we could tell the species of honeysuckle according to the map of HPLC and the peak area after integration, as well as the integrants of honeysuckle by way of LC-Mass analysis. Thirdly, while studying the histological analysis based on the observation of biopharmaceutical microscope, we found that it shows no difference between all the honeysuckles; thus, it fails to be a scientific method used to distinguish the herb honeysuckle. However, in the biochemical experiments of honeysuckles, we found honeysuckles from different sources and the place of origin shows difference in their antibiotic effect, showing the importance of local medicine. When it comes to my future work, in order to extend my experiments on honeysuckles, I would compare the nano-scale honeysuckle powder with normal-sized one in their clinical effects and components.
一后多夫否？黑棘蟻(Polyrhachis dives)聚落生殖策略之研究
A vast amount of research has been conducted on various ant species such as Monomonum pharaonis, Formica rufa, and Lasius niger, demonstrating the coexistence of polygyny and monogyny colonies. In polygyny colony, the high heredity variability of filial generation could be expected, but what could the monogyny colony do to hold the high heredity variability in order to increase the fitness? I hope I can account the sex ratio in the colony of spiny weaver ants, Polyrhachis dives, and compare the different colony with different reproductive strategies. I also want to check by V8 that the colony can form a polygyny colony and virgin queens can mate with many males of the same colony in the artificial nest. The results suggest that in the colony of spiny weaver ants, the higher the number of the dealate queens, the lower the number of the male. In the monogyny colony, workers control the sex ratio. According to the observation, we can see the alate adult mate in the artificial nest, and multimating can be recorded for the first time. The following study was there for undertaken to examine what’s the aftereffect made by the Reproductive strategies of polygyny colony and monogyny colony.在多后聚落內，子代變異度高是可以預期的，但是單后聚落中，又如何維持遺傳的變異度以增加其對環境的適應力呢？我們希望能計算黑棘蟻聚落組成，比較不同生殖策略的聚落之各種性比，並且錄影證實黑棘蟻聚落可以為多后聚落並進行巢內自交。我們發現：黑棘蟻聚落內，蟻后數愈高，則雄蟻比例較低；單后聚落之性比決定於工蟻；而根據錄影觀察，聚落中的有翅生殖族可在人工蟻巢中完成交配，多次交配的現象首次被實地紀錄，並且佔所有交配新生蟻后的92.8%。本實驗可利用黑棘蟻來了解單后與多后聚落的生殖策略對其族群發展的影響。
咦?!田螺長毛了!探討石田螺及其螺殼上附生藻類與環境因子之關係
This research is about two ponds in the Behu park’s and the Dahu park’s snail(Square Mystery Snail：Sinotaia quadrata) in Taipei city of Nei-hu District for research object, carry out the study of the following research proceed: 1.Discriminate the algae species that are growth on the snail shell and which is a kind of interaction with the snail; 2.The influence of the snail and algae with difference of temperature, salinity, pH value and dark ; 3. The factors affect algae growth on snail shell; 4.Use the variation of snail and algae to be a biological incator. The result manifestation: the algae that are growth on snail shell have two kinds, one is Oscillatoriaceae and the other is Cladophora sp. The interaction between algae and snail belong to communalism, but under the condition of lacking of food, the snail then will eat the Cladophora sp. which grow on the shell of other snails. The temperature adapts aspect, upper limit of the feat existence of the snail should be low in 28℃. When over than 28℃, Cladophora sp. as the most strong, Oscillatoriaceae is secondly, and the snail then is most poor. For the maximum tolerance of the salinity, the snail is about 4.38?, Oscillatoriaceae is about 5.00?, Cladophora sp. is then about 5.83?; Under the different salinity for the tolerance , the Cladophora sp. still the most strong, Oscillatoriaceae is secondly, and the snail then is most poor. Under the dark environment, the speed of Oscillatoriaceae begin to be bleaching is very fast than the Cladophora sp.. In the tolerance of pH value range: The snail is about pH=5～10, Oscillatoriaceae is about pH=7～8, Cladophora sp. is about pH=6～8; When the pH value range is in the pH=5～8, the speed of the Oscillatoriaceae occur changing is very fast than Cladophora sp.. The algae are growing on snail shell very different between two ponds, the main reason is water pH value dissimilarly: When pH value over than 8.5, there is no Cladophora sp. to grow on the snail shell, after the pH value to decrease, Oscillatoriaceae then will compare early than Cladophora sp. to grow on the snail shell. Calculate by the classification of the freshwater biological incator : Two organic pollution degree of the ponds may be lain in theβ-mesosaprobic to theα-mesosaprobic, and the polluting degree of the Dahu pond is more seriously. As for two ponds, have already faced what level of eutrophication? Belong to actually which stage of pollution grade? Not only added the classification data of floating and fixative algea in two ponds, and also according to the parts of chemistry analysis method measure of the data makes the substantial evidence, then could carry out the more accurate and thorough study in the days to come steadily studying process.本研究是以臺北市內湖區兩個綠地公園(碧湖公園與大湖公園)池塘內的石田螺(Sinotaia quadrata)為研究對象，進行以下研究目的之探討：1.鑑別石田螺螺殼上藻類的種類及其與石田螺的互動關係；2.溫度、鹽度、酸鹼值及黑暗等環境因子的差異，對石田螺及螺殼上附生藻類的影響；3.影響藻類附生於石田螺螺殼上的因素；4.將石田螺及螺殼上附生藻類的變化作為監測環境因子或水質變異的指標現象。結果顯示：附生於石田螺螺殼上的藻類有顫藻(Oscillatoriaceae)與剛毛藻(Cladophora sp.)兩類；與石田螺的互動關係應屬於片利共生(communalism)，但在缺乏食物的情況下，石田螺則會採食同伴殼上的剛毛藻。溫度適應方面，石田螺適宜生存的溫度上限應低於28℃，超過28℃水溫環境的耐受程度，是以剛毛藻為最強，其次是顫藻，而石田螺則為最差。對於環境鹽度最大耐受度方面：石田螺約為4.38?，顫藻約為5.00?，剛毛藻則約為5.83?；在不同鹽度環境下，鹽度的耐受程度，仍以剛毛藻為最強，其次是顫藻，而石田螺則是最差。在黑暗環境下，顫藻褪色產生白化現象的速度明顯地比剛毛藻要快了許多。在環境酸鹼值耐受的範圍方面：石田螺約在pH＝5～10 之間，顫藻約在pH＝7～8 之間，剛毛藻則約在pH＝6～8之間；而酸鹼值範圍在ｐＨ＝5～8 時，顫藻產生變化的速度明顯地比剛毛藻還要快。而兩樣區池塘水體酸鹼值的不同，應是造成石田螺螺殼藻類附生現象差異的主要原因：當酸鹼值超過8.5 時，螺殼上就無剛毛藻附生，當酸鹼值降下後，顫藻則會比剛毛藻早出現在螺殼上。藉由淡水生物指標的分類推測：兩樣區池塘水體有機污染程度，可能介於β-中腐水性(β-mesosaprobic,βm)至α-中腐水性(α-mesosaprobic,αm)的範圍之間，而Ｄ池塘受污染的程度應會比Ｂ池塘還要更嚴重些。至於兩樣區池塘水體，已面臨了何種優養化的程度？究竟是屬於哪一個階段的污染等級呢？除須補充水體中浮游性及附著性藻類分類的詳細觀察資料外，仍必須參照部分水質化學分析法所測得的數據作佐證，才能在日後持續地研究過程中進行更精確及深入的探討。
整合型水族養殖系統研究與開發
本研究主要的目的是在開發二氧化碳製造、過濾與循環的整合型水族養殖系統。二氧化碳的產製是以基於發酵原理，並搭配具有純化二氧化碳作用的水濾裝置，發酵環境溫度以水族箱內的水來維持，循環過程中並搭配外部過濾器，所有容器均由保特瓶改裝完成，整合成一套價廉、環保且具有高效率的水族養殖系統。由實驗結果可得知，二砂糖發酵對於二氧化碳產生率而言，其最佳發酵環境溫度範圍25℃~35℃，一般水族箱的水溫即可保持在此一溫度範圍。過濾系統則使用光電比色計與一般市售過濾器相比較，亦有令人滿意的效果。本實驗除了研究以二砂糖發酵之外，還希望更進一步地朝向廚餘減量方面開發其他發酵材料，希望能為環保盡一份心力。;The purpose of this study is to develop an integrated system of aquatic breeding with the functions of producing carbon dioxide, filtering and circulating, where carbon dioxide is produced based on fermentative theorem and purified by the water filtering; the environmental temperature of fermentation is maintained by the water in the aquarium and circulating is through an external filter. All the containers are made of PET bottles and thus integrated a cheap, environmentally friendly and high efficient system of aquatic breeding. According to the experimental result, for the producing rate of carbon dioxide, the best fermentative temperature of NO.2 granulated sugar is 25℃~35℃. With a photocell colorimeter to compare the function of the self-made filter with that of the filters on the market, one can find it’s comparable. In addition to the fermentation of NO.2 granulated sugar, the study is also expected to develop other fermentative materials to reduce kitchen waste for environmental protection.
抑制水果黑色素形成之新理論及研發美白保養品之新概念
PPO 是一種含銅的多酚氧化? (E. C. 1. 14. 18. 1)，主要是將酚類 (phenol) 氧化成二酚類(diphenol)，更近一步的變成quinones，後者是一種不溶於水的褐色聚合物，在植物中造成褐化最主要原因，然而在人類皮膚則產生黑色素 (melanin)。我們提出有一種揮發性的抑制劑存在動植物體內，此種抑制劑會抑制生物體內PPO 的活性。植物在收成後，揮發性的抑制劑逐漸消失，導致內生性的PPO 活性逐漸上升，因此植物便會產生深褐色的斑點。在本研究中，我們以玉蘭花作為例子，以生化酵素動力實驗、部分純化黑色素抑制劑來解釋揮發性抑制劑在植物體內的存在及其作用，更進一步對水果快速褐化提出一種新的理論。研究發現PPO 的褐化反應就像是人體內酪氨酸? (tyrosinase) 的催化反應，酪氨酸?可以使人體產生黑色素而累積在皮膚上形成黑斑，利用〝人工皮膚〞模擬揮發性黑色素抑制物的作用，證明，防止PPO 抑制劑之揮發可能在未來美白保養品工業裡扮演一極具潛力的角色。Polyphenol oxidase (PPO) or tyrosinase (E.C. 1.14.18.1) is an important and ubiquitous enzyme responsible for browning in plants and melanization in animals. PPO is a copper-containing enzyme that catalyzes the chain-oxidation from monophenol or polyphenols to o-diphenols and subsequent o-quinones. The resulting quinones are large wate-insoluble polymers with dark brown color. We proposed that volatile inhibitors are associated with the plant PPO and block the PPO activity in vivo. While post-harvesting the volatile inhibitors evaporate, the endogenous PPO is then activated and therefore instantly produces dark quinone pigment. In the present study using magnolia flowers as an example, we show the presence of a potent volatile inhibitor(s) for PPO in plant. The novel finding clarifies the mechanism involved in the browning phenomenon of post-harvesting for most fruits. Since the PPO is also know present in human as tyrosinase responsible for the formation of “darkening spots” on skin, the finding of evaporation of potent PPO inhibitor may be potentially used as a strategy in developing a novel cosmetic product.
斑馬魚胚胎發育時期中樞神經系統與單羧基運輸蛋白之相關性
Astrocytes provide energy to neuron mainly with lactate, which is transported through monocarboxylate transporters (MCTs). Among 14 isoforms of MCTs reported in mammals, only MCT1, 2 and 4 are expressed in brain and the three isoforms are found to differentially expressed in neuron and astrocyte, respectively. Based on these, “astrocyte-neuron lactate shuttle” has been proposed. However, no in vivo evidence was available so far to support this hypothesis. In the present study, zebrafish was used as a model to provide in vivo molecular physiological evidence for the involvements of MCTs in the development and functioning of central nervous system (CNS). Full-length cDNAs of the zebrafish MCT1-4 were cloned from zebrafish. Based on RT-PCR results, zMCT1 and zGLUT4 expressed in brain were chosen for further experiment. Morpholino knockdown experiments provided for the 1st time the in vivo evidence to indicate that the zMCT1 and zMCT4 may be involved in energy translocation and functioning of the developing CNS. 於前人預備實驗中，發現斑馬魚胚胎時期肝醣訊號會於腦部與中樞神經系統區位出現。因此，醣類的分布與在細胞間的傳遞應可視為腦部發育的重要指標。我們以基因體資料庫為工具，研究斑馬魚腦部相關基因異構型分布。目前，我們選殖到數個葡萄糖運輸 (GLUT)、鈉離子/葡萄糖協同運輸(SGLT)與單羧基運輸(MCT)通道在斑馬魚腦部表現，其表現是否與胚胎初期中樞神經系統的發育相關仍未知。經過初步基因分析後，我們決定以MCT 中第一和四異構型作為研究對象，並用Anti-Hu，與PCNA 做神經觀測，將施打反股寡核?酸進行突變操作的斑馬魚，與對照組進行免疫染色分析，以螢光顯微鏡觀察發現：抑制MCT 表現，確實影響胚胎時期中樞神經細胞發育及鰓部細胞分裂；亦可能造成畸形出現。
臉部皮膚會長出小小骨頭哦！皮膚多發性粟粒型骨瘤的發現，Ｘ光顯像，致?
臉部皮膚會長出小小骨頭喔！皮膚多發性粟粒型骨瘤的發現，X光顯像，治病機轉與雷射在治療上的應用。本篇研究是探討一種特殊又不易偵測的骨瘤，皮膚多發性粟粒型骨瘤(MMOC)，利用各種X光顯像技術，應用在痤瘡病患，偵測其分佈、發生率和疾病之可能相關；並利用組織病理發現去推測致病機轉；且利用各種雷射光，在體內與體外進行治療性的探索，並獲致重要的結論如下：(1)MMOC非常常見，每個人都有可能發生，但臨床不易被偵測，跟性別無關，但與年齡增長成正相關；(2)病灶分佈包括額頭、眼皮、鼻子、臉頰及頸部，與痤瘡的病灶分佈十分類似，但與痤瘡的疾病活性與疤痕的嚴重度並無相關。(3)利用乳房攝影的斜切照影技術，是最簡易有效的偵測方式。(4)病理組織中有些皮膚腫瘤伴有MMOC存在，並非此腫瘤有其特異性。(5)MMOC是一個因為皮膚毛囊皮脂腺在不明顯的發炎下所造成的轉化型骨形成反應。(6)紅寶石雷射及銣-雅鉻雷射對色素性骨瘤是一有效的去除技術。鉺-亞鉻雷射及二氧化碳雷射磨皮技術，對嚴重痤瘡疤痕並有MMOC患者，亦為一良好治療方式。Multiple Miliary Osteoma Cutis(MMOC) is a kind of special condition and difficult to detect clinically. By using different kinds of X-ray techniques and compared the clinical data from the patients with acne of face, by observing the changes of skin tissue specimens for searching the possible mechanism of osteogenesis and by using scanning electron microscopic observation and energy dispersive Xray analysis for evaluating the biophysical effects on osteoma after Ruby, ND-YAG, Erbium:YAG or CO2 Laser irradiation, we concluded that: MMOC, a very common condition, may develop in everyone. MMOC can be easily demonstrated by the modified mammographic technique. The density of calcification in MMOC is not related to the sex of patients, the activity of acne, and the severity of atrophic scar but correlated with the age of the patients. MMOC, a non-specific condition, results from metaplastic ossification occurring within preexisting subclinical inflammatory processes of the pilosebaceous unit and may be found incidentally in different kinds of facial tumor. Ruby or ND-YAG laser may have some explosive effect on pigmented MMOC. CO2 or Erbium:YAG laser dermabrasion can be used to treat MMOC with acne scar.