「蓮」「環」密碼--環境因子對蓮花效應的影響
蓮花效應是指蓮葉表面具有奈米纖毛結構，因此只要葉面稍微傾斜，水珠就會滾離葉面，在我們生活週遭，許多植物具有蓮花效應。本實驗選擇彩葉山漆莖作為研究材料，因為我們發現在同一植株上，嫩葉的蓮花效應最佳，而老葉幾乎無蓮花效應。當彩葉山漆莖的新葉轉為老葉，蓮花效應會減弱，甚至消失。我們以不同水量、土壤酸鹼值及光照作為變因，來探討蓮花效應改變的原因，結果發現水量並非主要影響蓮花效應改變的變因；土壤過酸或過鹼，會減弱新葉及嫩葉的蓮花效應；置於暗室則使整株彩葉山漆莖所有葉面皆無蓮花效應。許多植物的性狀，在老化或面臨環境改變時，會將控制性狀的基因開啟或關閉。因此，我們推論，當環境因子改變時，植物的蓮花效應可能是經由基因層次的調控，藉以增強或減弱此性狀的表現。如果不是基因的開啟或關閉，則有可能僅是葉表面的結構發生些微的改變，真正詳細的機制仍有待進一步的確認。;We choose Breynia nivosa (Bull ex W. G. Smith) Small as a model plant to study the lotus effect on the leaves for the reason that on the same chosen plant the new-born leaves have the best lotus effect while the elder ones have little lotus effect. When the new leaves turns into elder ones, the lotus effect also turns weaker or even vanishes. To explore the exact mechanisms, we take water quantity、soil pH、and light density as the experimental factors. The results show that water quantity cannot affect the lotus effect on all leaves, change in soil pH can decrease the lotus effect on the new and new-born leaves, and dark treatments can eliminate the lotus effect on all leaves. When the environments change, the phenotypes of plants could also be changed to adapt to the new conditions by turning on or off genes. Therefore, we suggest that the lotus effect on the leaves is also controlled by genes to increase or decrease its phentype so as to adapt to the changing environments. If not, it may simply be a little change of the surface structure of the leaves. The detailed mechanism remains to be confirmed further.
感官經驗對朱文錦之行為調控
In this research, we investigated the interactions between goldfish’ (Carassius auratus) sensory experiences (electric shock, high osmotic pressure and colors). We separated the sensory experiences into two parts. One of them, we used different kinds of environmental color-models to analyze goldfish’s environmental preference behavior and different kinds of stress experience(electric shock and high osmotic pressure) to build the animal model of environmental preference behavior. We found that goldfish prefer brown-colored environment (compared with white) and different stress has different effects on fish’s environmental preference behavior. It proves that fish has the ability to learn and memorize the stress experience and shows that there are complicated interactions among environmental stimulus, memories of stress and behaviors caused by different kinds of stress. Also, we investigated the interactions between spatial memory and color distinction. We measured the duration of goldfish getting through the color-marked barriers driven by regular electric shock. We found that goldfish spend less time to get through color-marked barriers than those unmarked. It shows that there are some interactions between spatial memory and color distinction. In conclusion, the research proves that different sensory experiences can affect goldfish’s behaviors.本實驗利用感官經驗(電擊、高滲透壓、色彩)，探討與朱文錦(Carassius auratus)行為調控的交互作用。我們將感官經驗分成兩模式：利用環境色彩特徵的差異，探討不同逆境刺激經驗(施予電擊或高滲透壓環境)，與魚類環境偏好行為的交互作用，建立朱文錦環境偏好行為之動物模式。我們發現朱文錦偏好土色環境(相對於白色環境)，而不同性質的逆境經驗，對魚類的環境偏好行為具有不同的影響，顯示魚類具有記憶逆境環境的學習能力，且證明「環境刺激—經驗(記憶)—行為表現」三者之間具複雜的交互作用。另外，我們亦探討空間記憶與色彩辨識的交互作用，利用規律的電擊刺激使朱文錦通過有色彩標示的關卡，以研究色彩差異與空間變化對朱文錦通過關卡能力的影響。我們發現色彩的標示可降低通過關卡的時間，且不同的色彩具不同程度的效果，顯示空間記憶與色彩辨識具交互作用。本實驗證明了不同的感官經驗或刺激，對朱文錦的行為調控具質與量的差異。
人類粒腺體蘋果酸.活性中心輔.NAD(P) + 結合位置之探討
人類粒線體蘋果酸.可利用NAD+或NADP+為輔.，幫助腫瘤細胞獲得能量，但一般生理條件較傾向以NAD+為輔.。本研究將K346 修改成偏好NADP+之粒線體蘋果酸.家族中具有高度保留性的絲胺酸、及不具極性之丙胺酸，探討為何此酵素較偏好以NAD+為輔.。天然及突變株酵素的催化常數 (kcat)、基質Km 值、及抑制常數 (Ki) 測定結果顯示K346 之點突變不會影響基質Km 值，但K346S 之kcat明顯上升，繼而改變此酵素對NADP+之選擇性。本研究對於人類粒線體蘋果酸.催化機制的了解，有助設計具專一性的活性抑制劑，未來可應用於抑制腫瘤細胞能量來源，進而抑制腫瘤細胞生長。;Human mitochondrial NAD(P)+-dependent malic enzyme can help tumor cells gain energy, using either NAD+ or NADP+ as the cofactor, but prefers NAD+ as the coenzyme. By mutating the K346 to Ser, conserved in NADP+-dependent ME and to Ala with non-polar, we explore why human mitochondrial NAD(P)+-dependent malic enzyme prefers NAD+ as the coenzyme. We measured the proteins kcat, Km and the Ki values. The experiments showed that mutantions don’t affect the Km values, but K346S increased in the kcatvalue, transferring the coenzyme specificity to NADP+. If we develop deeper understanding of the human mitochondrial NAD(P)+-dependent malic enzyme, we can design a specific drag to inactivate the enzyme activity, and inhibit tumor cell growth.
再論巴斯卡三角形
本研究以b04課程中的巴斯卡三角形為研究對象，將原先巴斯卡以「1」為首、「+」為運算符號的規律三角形，改為以「-1」及「ω 」為首、「×」為運算符號，分別就其產生的新三角形作探討，發現其中似乎隱藏著原先三角形所沒有的規律性。為了更瞭解這種規律，藉由電腦軟體繪出其圖形，圖形顯示出如碎形般的複製關係，不論放大或縮小，其中的遞迴關係並未改變，頗令人好奇，因此著手研究。研究過程中對於圖形的規律性採用先臆測、接著歸納、最後給予證明的方式呈現。得到以下的結論：一、分別以數列呈現新三角形圖形的規律性。二、分別將新三角形中每一列中的某數字（如-1、ω 或ω 2 ）的個數予以通式表之。三、分別推算出新三角形第n 列第j 行的數是「1」或「?1」及「1」或「ω 」或「ω 2 」。四、相同的模式，在特定的圖形範圍中，不斷重複出現。許多研究將巴斯卡三角形中的所有數，以某數為模的餘數紀錄下，去探討其餘數在新產生的巴斯卡三角形中的分布情形；而在碎形的研究中，大部份著重如何畫出碎形。本研究著重圖形其規律性的探討，提供上述研究不同角度的詮釋與探討。 This research subject is based on Pascal’ s triangle in senior high school curriculum. The regular triangle begins with「1」and use「+」as operation. Let 「1」 be replaced with「-1」and「ω 」, the operation sign「+」be changed into「×」. I do research on the new triangle and discover the seemingly hidden regularity which doesn’t exist in the original one. To understand more about this regularity, I draw figures through the computer. The figures show the relationship of reproduction as fractal. Whether the figure is enlarged or minimized, it’s surprising curious the recursive relationship doesn’t change, so we begin to work on research. In the process of the research, we make careful observations, assumptions and deductions about the regularity of the figure. Finally, we come to some conclusions by means of giving proofs:（1）Present the regularity of the new triangle figure with progression.（2） Present such numbers as「-1」, 「ω 」, 「ω 2 」 in each row of the new triangle with formulas separately. （3）Figure out the number in the row n and in the column j of the new triangle is「1」or「-1」,and「1」or「ω 」or「ω 2 」. （4）The same model appears again and again in the specific range of figure. Many researches record Pascal’s triangle modulo certain number to explore the distribution of remainders in the new triangle. In the research of fractal, how to draw fractal is mostly focused on. The exploration of this research emphasizes the regularity of figure, offering the interpretation and exploration of researches above from different angles.
立體尺規作圖-PES 作球
In this study, we mainly explore the geometric construction in 3D. By conducting some problems about constructing circles, we define the PLC construction in 2D as constructing a circle, either passing through a given point (P), tangent to a given line (L) or tangent to a given circle (C). Besides, we aim to discuss the properties of the PLC construction and the relations between each other. We discover if we find a plane satisfying certain conditions in space, the properties in the PLC construction can apply to such a plane. Furthermore, we extend the properties in PLC to the PES construction in 3D, defined as constructing a sphere, either passing through a given point (P), tangent to a given plane (E) or tangent to a given sphere (S). Also we discuss the relations among them.這個研究主要在探討3D 的尺規實作。藉由歸納某些有關作圓的題目，我們定義2D 中的PLC作圖─作圓，過已知點（P）、切已知線（L）、切已知圓（C）。並探討PLC 作圖的性質及彼此的關聯性。而我們發現：在空間中只要找到滿足特定條件的平面，則2D 幾何作圖性質在該平面仍能沿用。此外，運用PLC 作圖性質，我們進一步推廣到空間中的PES 作圖─作球，過已知點（P）、切已知面（E）、切已知球（S），並探討各個類型間的關聯性。
台灣地區的地震危害度分析
本研究主要是以一連串的地震分析，來討論台灣地區地震能量的釋放型態。 首先是求出地震的活動參數，接著再繪製地震規模的年發生率，最後是推算台灣地區 地震能量釋放時前餘震與主震所占之比重。 在地震參數上，發現地震活動度較高的月份中，在該月都發生了芮氏規模六級以上的 大地震，因其餘震發生的頻率較小震頻繁，因此造成其a值較大。 在地震規模年發生率方面，我們繪製出圖表，而最後發現台灣地區的地震仍以小震多，另外大地震則有一定的週期。 在研究的最後，了解台灣地區的地震常數之後，本研究以ESRI公司的GIS軟體ArcView8.3版疊合各種圖層，分析人口密集區及水庫的地震危害度分析，提出地圖，對大台北地區，人口稠密的幾個行政區提出警訊；另外在水庫方面，本研究則對幾個在斷層線上的水庫提出警訊。 ;This research presents a series ofearthquake analyses to discuss earthquake’s energy release type. First, we evaluated earthquake’s constant and charted the percentage of earthquake measurement every year. Finally, count the after-shocks and the major earthquake measuring 6.0 and above on the ML happening in Taiwan area. Because the after-shock frequency is more than light earthquakes, as a result it causes the “a” enumeration is large. According to the percentage of earthquake measurement happening frequency every year, we illustrate a chart. Finally we find that in Taiwan area mirror earth-quakes account for a large percentage and major earthquakes happened regularly. When we realize the constant of earthquake, the study folds a variety of layers by using ArcView 8.3 edition of GIS (Geography Information System) of ESRI co., LTD, analyzing the density-populated areas and the dams for seismic hazard to export the map. We raise a warning for the greater Taipei where some districts are densely-populated, and we also warn the dams on the line of fault of large of damage.