全國中小學科展

2024年

任意進位制下計數問題的公式解

對於任意正整數m和大於1的正整數p,將集合{m,m+1,...,pm-1}中的每一個元素用p進位制表示。令h為介在1到p-1的正整數,將上述集合在p進位制下有i個h的元素個數記為fh,i(m,p)。本文引進一個創新的想法,讓函數 fh,i(m,p)公式解的推導變得可行且簡單。 再者,當 p=2 時,令 fi(m)= f1,i(m,2),由公式解可以推得對怎樣的正整數n,原像集合the preimage fi-1({n})之元素個數為1。

New Concept of Intelligent Wound Dressing

Substance losses, burns and injuries arising from various causes represent a constant problem encountered by homo sapiens throughout its existence. Rudimentary treatments, relatively effective and less effective, have left their mark on the way we perceive the presence and treatment of wounds caused by various factors. Searching through medical archives, we can trace the specific protocols for these medical conditions back to 2200 BC, when they were structured in three steps: 1) cleaning the skin lesion, 2) applying a dressing (from glue to various preparations) and 3 ) bandaging the skin lesion. Currently, the appearance of wounds on the skin is caused both by accidents in the performance of various activities and by certain diseases that manifest themselves through skin rashes or skin lesions. Their frequency is in the thousands, according to the latest statistics, affecting the majority of the population non-selectively. It is vital that skin lesions receive the necessary care and attention, commensurate with their severity. Being open wounds on the surface of the skin, it is essential that the treatment be meticulous and appropriate to their type, as skin lesions represent a threat to the patient's life. From infections to hydroelectrolytic imbalances specific to burns, the multitude of factors that influence healing highlight the need for a dressing that can be easily customized according to the specificity of the wound, the needs of the patient and that is affordable both from the point of view of production cost as well as its use, making death from skin lesions easily avoidable through an intelligent approach. One of the most complex biological processes and indispensable to humans is the healing of skin lesions. Healing involves a carefully regulated series of biochemical and cellular activities in tandem. Traditional therapies and substances of natural origin have been used to facilitate the regeneration process and accelerate the wound healing process, being applied with encouraging results. Despite the fact that these generally present a low cost, they can be more expensive than contemporary treatments and can be influenced by regional, seasonal factors, showing fluctuations from batch to batch, which could lead to unpredictable allergic reactions, side effects and inconsistent clinical findings. Currently, the standard of care for skin lesions is to clean the wound with antiseptic solutions to prevent infection, apply a dressing followed by bandaging to keep the dressing in place, and if necessary excision of the tissue that has become non-viable. In the case of diabetic ulcers, it is necessary to excise the tissue that has become non-viable and to maintain control over the level of glucose in the body.

雙酚 A 對白線斑蚊幼蟲生長發育的影響及病媒蚊防治策略探究

登革熱病媒蚊幼蟲主要孳生於人工積水容器中,幼蟲生長發育主要受到溫度與食物的影響。本研究至戶外調查人工積水容器,發現塑膠類人工容器為主要孳生類型。於實驗室以 11 種人工容器培養白線斑蚊幼蟲,結果發現塑膠底盆的幼蟲發育速度較快,蚊蟲平均翅長較長。以塑膠組成物質雙酚 A 進行試驗, 發現高濃度 (>50 mg/L) 雙酚 A 會導致幼蟲死亡, 活動力降低; 中濃度(12.5~1.56 mg/L) 會促進幼蟲生長速率,縮短發育時間;低濃度 (<0.78 mg/L) 則不顯著。以濃 6.25mg/L 雙酚A 處理蚊幼蟲,Q-PCR 顯示四個齡期的幼蟲蛻皮激素基因 (Ecr) 分別表現量都有增加,其中四齡幼蟲增加 9.68 倍,蛋白質分析顯示 34~72 kDa 之間的片段濃度增加。在蚊幼蟲防治上,4.0 %蛋胺酸和 1.0% 硼酸皆可 100%抑制孑孓活性,結合低濃度蛋胺酸(0.13%)和硼酸(< 0.5% )可以提升 30% 抑制孑孓活性的功效。

微流道-孔隙介質之排水時間與模式探討

孔隙介質內的流體運動涉及地球科學、生命科學、農業與工程應用等廣泛議題。為了瞭解孔隙介質內流體移動過程,本研究以孔隙介質排水過程為專題主題,利用自製的微流道模型,研究孔隙介質排水過程如何受到孔隙大小與下方開口大小的影響。此外,我們也利用Darcy’s Law 與 Kozeny-Carman equation,並加入飽和度變化帶來影響的修正,建立描述排水過程的公式。

Metformin對肝臟細胞選擇性粒線體自噬作用之活化機制探討

二甲雙胍(metformin)為第二型糖尿病的口服藥。現有研究已知粒線體在肝癌組織中有過度表現的情形,且二甲雙胍與粒線體自噬作用相關然其機制尚未清楚,故本研究探討二甲雙胍對於肝臟細胞粒線體自噬作用的活化機制以了解其是否具肝癌治療的潛力。以西方墨點法測試加入二甲雙胍前後人類肝癌細胞(Huh7)的 LC3B-I、LC3B-II的表現,發現加藥後表現上升。以串聯螢光標記實驗,透過螢光顯微鏡觀察加藥前後粒線體的型態從線狀變為橄欖球狀,LC3表現上升,PARKIN有明顯位移至粒線體外膜的情形,顯示二甲雙胍可刺激自噬體的形成。並透過 mito-QC(mito-quality control)的技術,可觀察到加藥後粒線體與溶酶體結合的情形也有所提升。本研究推論二甲雙胍可活化人類肝癌細胞中 PINK1-PARKIN 依賴型選擇性粒線體自噬作用的形成,未來有望應用於肝臟疾病相關治療。

以限制酶酵素切位多樣性檢驗臺灣入侵紅火蟻基因體重組事件

入侵紅火蟻( Solenopsis invicta,以下簡稱紅火蟻) 起源於南美洲巴拉那河流域,其對於農業、畜牧業、甚至對人的健康都具有高度危險性及破壞性。由於國際貿易地興 起,紅火蟻目前已於包含台灣在內多個國家中被發現並在當地造成危害。為了對抗紅 火蟻造成的影響,瞭解紅火蟻的基因將是個有效的方向。故希望從決定紅火蟻的性別 決定基因之候選位置中探索其重組率以更精準地定位性別決定基因的所在位置。本篇 研究選用紅火蟻其中兩條等位基因序列,分別標記為 H04、H07。對於紅火蟻來說,正常情況下單套個體將發育成雄蟻、雙套且為異型合子的個體將發育成為雌蟻(職蟻或處 女蟻后),然而同型合子個體則會發育為不孕的雙套體雄蟻。本實驗利用限制酶酵素切 位多樣性( Restriction Fragment Length Polymorphism, RFLP )技術,使用 MEGA 軟體將H04、H07 序列之同源序列做排序後,使用 Ape 軟體找出其候選酵素切位並篩選出於不同等位基因序列上具有多樣性之切位後,利用聚合酶鏈鎖反應( polymerase chain reaction, PCR )、酵素酶切割及電泳凝膠技術,找出理應為異型合子之雌蟻中只具有 H04 或 H07 序列其中一個訊號之個體,即代表該區域曾發生過基因體重組事件而應被排除出性別決定基因的候選位置。我們成功確認 H07、H04 的 90 個樣本中,同型合子共有12 個、異型合子共有 78 個,並且雄蟻皆只偵測到一個訊號,符合預設。未來繼續縮短範圍,直至找尋到決定紅火蟻重要基因序列。

Silver nanoparticles-loaded titanium dioxide coating towards immobilized photocatalytic reactor for water decontamination and bacterial deactivation under natural sunlight irradiation

The environmental implications of rapid industrialization, including rising pollution, depleted resources, the effects of climate change brought on by global warming, and unrestrained groundwater extraction, are contributing to a growing water scarcity crisis [1-3]. The improvements in quality of life are largely attributable to the innovations in manufacturing technology made possible by the Industrial Revolution, but these innovations also pose risks to the natural world and human health [1-3]. The textile business uses a wide variety of raw materials, including natural fibers like cotton as well as synthetic and woolen fibers, and the chemical components of dyes are just one example. The annual output of synthetic dyes is around 700,000 tons, and there are over 10,000 different varieties available. As much as 200,000 tons of synthetic dyes are released into the environment every year due to the inefficient dyeing technique commonly employed in the textile industry. According to the World Bank, the processing of textiles for dyeing and finishing accounts for between 17 and 20 percent of industrial wastewater [1-3]. Textile wastewaters contain a high biological oxygen demand (BOD), chemical oxygen demand (COD), nitrogen, color, acidity, high suspended particles, high dissolved solids, surfactants, dyestuffs, heavy metals, and other soluble chemicals [3] due to the variety of dyes used to color textile items. In particular, water-soluble reactive and azo dyes are employed to obtain the required color. Ten to twenty percent of the dyes used end up in the effluents, where they might harm wildlife and the ecosystem (carcinogenic or mutagenic). Headaches, nausea, skin irritation, respiratory difficulties, and congenital deformities are only some of the health problems linked to exposure to textile wastewater. There are repercussions for aquatic ecology, environmental biodiversity, and the quality of receiving water bodies. New, low-cost, and highly effective water treatment methods are needed to deal with polluted wastewater. Adsorption and coagulation, two common water purification methods, just concentrate pollutants by shifting them to other phases; they do not "eliminate" or "destroy" them. Sedimentation, filtration, chemical oxidation, and biotechnology are all examples of conventional water treatment methods, but they all have their drawbacks. These include insufficient removal, high chemical reagent consumption, high treatment costs, long treatment times, and the creation of toxic secondary pollutants. New water treatment procedures are needed to improve the quality of treated effluent [1-3]. The use of semiconductor particles in photocatalysis is gaining appeal as a solution to global pollution problems due to its shown efficiency in degrading a wide variety of contaminants. Photocatalyst-coated surfaces-based reactors have proven to be practical for long-term operation over photocatalytic powder-based reactors (i.e., slurry-based reactors) [4-5]. As a promising photo-electrode and photocatalyst, titanium dioxide (TiO2) has enjoyed wider applicability in photocatalytic hydrogen generation, solar cells, and remediation of organic contaminants among other photo-catalytic applications [4-6]. TiO2 has been recognized as one of the low-cost, most effective, and fascinating photo-catalyst as a result of its interesting thermal and chemical stability, desirable electronic features, others, and environmental benignity [6-8]. Pristine TiO2 semiconductor is characterized by a wide band gap that can only utilize the UV part of the light spectrum with a wavelength of less than 385 nm, which is just 5% of the sunlight energy capacity. Spectrum usability extension to visible regions warrants further and extensive research study [8-10]. Additionally, the quickness of the recombination of photo-generated holes and electrons further restricts the practical applicability of the semiconductor [10-12]. It is highly desirable to develop a cost-effective scalable strategy to over these drawbacks toward sustainable development and a clean environment using only natural sunlight irradiation [5-11]. In addition, it is preferred to fabricate them as films rather than powders as photocatalytic immobilized reactors are more practical than powder-based reactors [4-8]. Dye sensitization, supports, magnetic separation, and surface modification by doping with non-metals, metals, and transition metals and coupling with other semiconductors have all been used to enhance the photocatalytic activity of TiO2 photocatalyst. Higher photonic efficiency can be attained through the synergistic fine-tuning of features such as physical, chemical, and electronic, and these composites and hybrid materials based on TiO2 are creating a big trend. Doping has been widely studied as a means of altering the surface of TiO2. Rare earth metals, noble metals, and transition metals are all discussed in the existing literature on the surface modification of TiO2 doped with cations [4-12]. In this study, for the first time, Ag nanoparticles loaded mesoporous TiO2 coating was prepared and applied as an immobilized photocatalytic reactor for water decontamination and bacterial deactivation under natural sunlight irradiation.

Local Positioning System

A custom Local Positioning System designed for applications in supply chain logistics, inventory tracking, collision avoidance, and precision systems. Responsive UI allows for real-time management and dynamic parameter adjustments.

自由液面於下落容器內之流體力學分析以及應用

水杯於失重狀態落下,逐漸形成水坑,並在撞擊地面時因巨大慣性加速度導致水坑崩塌,匯集後產生高速累積噴流。 在本研究中比較了不同杯子大小及材質、溶液性質及體積、落下高度,如何影響失重流體的行為,分析噴流的形狀、速率及高度。並找出造成速度放大的效應,討論能量轉換機制及轉換效率。 失重狀態下,水坑深度 d 隨落下時間 t 漸增,達上限後不再增加。表面張力及親水性接觸面使水面形成球狀水坑。接觸角越大則水坑深度上限 dmax 越大,最大水坑為半球形,水坑抬升速度則會受到表面張力及黏滯力之比值影 響。撞擊時巨大慣性加速度使水坑崩塌並匯集,累積效應放大原速度,產生高速累積噴流 Vjet2=Kv2,累積係數 K 與水坑深度 d 正相關。

探討護木漆塗層對於抑制金屬升溫之影響

本研究探討將護木漆塗在不鏽鋼及鋁片上對於熱輻射吸收及降溫效果的影響,從實驗結果中可以看到塗上護木漆後的不鏽鋼樣品在可見光範圍的吸收雖增加 29.7W/m²,但在 8µm~12µm紅外光範圍的熱輻射增加 38.2W/m²,約增加 11.2倍,而鋁片樣品在可見光範圍的吸收減少 1W/m²,紅外光範圍的熱輻射則增加 38.6W/m²,約增加 25.9倍,故護木漆能有效增加熱輻射效率,減少能量吸收,而本研究亦證實樣品的輻射冷卻效 能,在晴天時樣品溫度最多可降低 3.4度及 2.7度,故此種方法能有效抑制升溫,並希望未來能應用於建築及儲油槽外壁上,以減少冷氣使用及火災發生頻率。