全國中小學科展

二等獎

Investigating the Effect of Coloured Light on the Behaviour and Learning of Lymnae stagnalis

Lymnae stagnalis (pond snail) is emerging as a preferable invertebrate model in understanding neurological mechanisms because of its simple nervous system. A three-cell network mediates behaviours such as aerial respiration and research has shown that small, subtle changes occurring across the network might result in a disruption of natural behaviour (Lukowiak et al. 1995). It is also known that Lymnae features a more developed eye than other molluscs and studies have shown that various wavelengths of light can activate photoreceptors producing distinct electrophysiological responses (Sakakibara et al. 2004). However, no studies have looked beyond the electrophysiological response. The purpose of this project was to determine if coloured light would firstly, elicit a behavioural response as observed in its movement and secondly, affect learning and memory through the operant conditioning of its aerial respiration.

"An automatic stabilisation of three degrees of freedom – the intelligence of the Quadcopter"

Quadcopters are incredible pieces of technology. Software on the flight controller is able to simultaneously stabilise the drone in three degrees of freedom, follow commands from the pilot and take pictures. 200 times per second the flight controller therefore measures the current position and RC signal, calculates a correction and sets the according engine speeds. This is a task that could never be done by a human being.

The impact of climate variability on infectious disease

Diarrhoea is an infectious disease that claims many lives (particularly among infants) and is known among many other infectious diseases, to have a relationship with climate. This projects quantifies this relationship by comparing health insurance treatment claims for diarrhoea and anti-diarrheal drug sales data from the private health sector with temperature and rainfall data provided by the South African Weather Service. The data were then analysed and show that incidence is highly seasonal and varies among regions with different seasonal climates. The results show that climate variability can explain 73% of diarrhea incidence variation with rainfall explaining 8% and minimum temperature explain the other 65 %. Preliminary predictions of future monthly percentage increases in incidence were then made for a series of time ranges. This project demonstrates that with predicted climate data one can predict future variations of diarrhoea allowing the health sector to be adequately prepared.

論平行電板間肥皂泡之變形現象

觀察肥皂泡置於平行電板中時產生變形,本研究探討此現象並提出相關解釋。經由實驗發現肥皂泡在電場下的形狀是橢球的一部份;肥皂泡在施加電場前後的高度比與寬度比是兩電極板間電壓的二次曲線,且離心率與電壓成正比關係。透過觀察肥皂膜的光學性質、分析皂膜受力以推測其電學特性,確定系統之電荷與電位分布,進而提出理論模型計算系統能量,解釋平行電板間肥皂泡之變形現象。

確定有限狀態自動機與量子有限狀態自動機之間的轉換與比較

量子計算的效率相較傳統計算有指數級成長。然而此領域中多數研究皆專注於量子計算的性質本身,鮮少討論如何將傳統環境中的既有資訊轉換至量子環境下。一旦量子電腦實現,受量子效應限制,傳統資料多半不能相容於量子環境中。因此,本研究的目的是發想出一種系統性的演算法以確實跨越量子資訊與傳統資訊之間資料結構的藩籬。我們選擇的計算機模型是確定有限狀態自動機(Deterministic Finite Automaton,簡稱DFA)。 本研究由自動機的轉移矩陣(Transition Matrix)及量子環境要求的可逆性(Reversibility)出發,自傳統DFA一步步轉換至量子有限狀態自動機(Quantum Finite Automaton,簡稱QFA)並進行優化。最終,我們定義出一種新的QFA模型(QDFA)能在量子環境下運行,具有增大的字母表(Alphabet Set)但功能完全等價於DFA(能辨認正則語言)。本研究獨創的演算法的時間複雜度為O(C×N2)。

Difluoromethylation of arylidene Meldrum's acid derivatives

Fluorine-containing compounds gained significant attention during the past decade1. About 20% of novel pharmaceuticals and 40% of novel agrochemicals every year contain at least one fluorine atom in the molecule. For a long time the most frequently used was trifluoromethyl group, but nowadays the most promising is the chemistry of partially-fluorinated groups. For example, the difluoromethyl substituent (CHF2) exhibits unique pharmacoforic properties capable of serving as lipophilic hydrogen bond donor thus being bioisosteric to hydroxyl group2. There are several general approaches for the formation of a required fluorinated fragment, one of them is direct nucleophilic fluoroalkylation. This approach is well-developed for trifluoromethylation reactions, such as addition of CF3-anion equivalents to C=O, C=N and electron-deficient C=C bonds or metal-catalyzed substitution in haloarenes3. However the similar difluoromethylation processes are still quite challenging. Herein we present a novel and convenient protocol for the synthesis of β-CF2H functionalized carbonyl compounds and carbinols by nucleophilic difluoromethylation of electron-deficient olefines. The process is based on a 1,4-addition of in situ generated4 phosphorus ylide Ph3P=CF2 2 to the arylidene Meldrum's acid conjugates 1. The resulting phosphobetaines 3 are hydrolized/protodephosphorilated without isolation, giving β-CF2H substituted carboxylic acids 4. The latter may be easily transformed to the corresponding ethers 5 and alcohols 6 without preliminary purification.

翻轉塗色驚嘆號

本作品『翻轉塗色驚嘆號』為2016年國際科展『翻轉塗色』的一般化延伸改進作品。在過去文獻中討論的問題是一列已上色的格子中,估計會有多少個『等間隔而且同色格子」的可能。而本研究所探討的問兩個顏色(以1及0表示,1跟0互為補色),並以Thue-Morse遞迴著色(若B已著色,則接下來的|B|個格子就著上B的補色,其中|B|表示B的格子數),其中每次遞迴時精確的『三個間隔相同而且同色的格子』(本作品稱為3-AP)的精確總數。為了表示方便,我們將著好顏色的格視為一雙色字串。在之前的作品中,我以中心排列手法算出了起始字串為1時每次遞迴的3-AP精確數目。而本作品的突破在我們推廣到對於任意起始字串B,所遞迴產生的Mp(B)字串都能精確算出3-AP總數,其困難點在於歸納不同B之間的共同性。令人驚嘆的是,在遞迴兩次之後,其3-AP增加的數目與B的內容無關,只與B的格子數有關。此為本作之重要定理。除此之外,我也給出依序刪去每次遞迴後所剩下的Mp,q(B)中3-AP總數的公式。其困難點在刪去之後失去了對稱性。在本作品中突破方式是改變中心排列以偏心排列找出基底,並以未定係數法將其3-AP總數找到。而令人驚嘆的地方在於,若同時增加後續字串並同時刪去前方字串,其3-AP增加的數目也與B的內容無關,只與|B|有關。

淘氣精靈與IOD關聯性之探討

前人研究發現聖嬰南方震盪(El Niño–Southern Oscillation, ENSO)和淘氣精靈(Elves)兩者間有顯著關係,顯示淘氣精靈的變化受太平洋上ENSO影響,因此我們想探討淘氣精靈與印度洋震盪(Indian Ocean Dipole, IOD)間是否也存在相似的關聯性。一般以DMI(Dipole Mode Index)代表IOD的發生情形,研究中我們挑出2005年6月2015年11月IOD正負事件時的海溫、雨量、閃電及淘氣精靈進行比較。研究結果顯示淘氣精靈在印度洋上也有震盪的現象,且其趨勢與海溫相同,再將其與雨量變化做比較後,我們推論IOD造成的海溫變化影響了大氣,進一步影響淘氣精靈的發生。

Biodegrable Roof

It became necessary to implement a project for the use of vegetable waste generated in the process of handling plantain cultivation, harvest and postharvest, since in Mexico at harvest large quantities of vegetable waste is produced, since only the fruit is used wasting the Pseudostem with leaves and spine. Based on this information, you can take advantage of banana fiber as raw materials in the manufacture of biodegradable sheets and support options that are feasible and possible to make alternative. This is an inexpensive process, also friendly with the environment, so that thousands of banana plants that bear fruit after they become sterile and are discarded without realizing their Pseudostem.

Novel Approach to Screening Mutations Causing Retinoblastoma, a Childhood Cancer of Retina

Retinoblastoma (RB) is a childhood retinal cancer caused by mutations in the RB1 gene. Molecular diagnosis is crucial for early detection and treatment. Current DNA diagnostic screening requires substantial amounts of tumour and blood samples. However current screening methods face the challenges of limited DNA templates from minute retinal tumours and too much blood samples drawn from young patients. In addition, the starting DNA template amount and quality are important to ensure confident detection of disease-causing mutations. As the majority of RB1 mutations are unique and distributed throughout the RB1 gene with no real hot spots, the entire gene needs to be thoroughly analysed. This investigation proposes to enrich DNA samples using a whole genome amplification (WGA) step prior to RB1 mutation screening by RB1 gene-specific PCR amplification as well as high resolution melt (HRM) analysis and sequencing. It also identifies RB1 mutations in two RB patients and explores whether WGA and saliva products can be a source of DNA templates for RB1 analysis. In addition, this study was conducted based on the hypotheses that RB1 mutations were the underlying cause of the disease in the two patients, and that the products from WGA could be used specifically for RB1 gene analysis to overcome the constraint of insufficient DNA samples. Two anonymised genomic DNA samples from two unrelated RB patients and five normal healthy DNA samples were used in this project. WGA kits were compared according to three criteria, namely amplification yield, product fragment size and whether DNA is amplifiable. Prior to and after amplification, the optical density of two normal samples was measured to determine the increase in DNA yield. The amplicons were subjected to gel electrophoresis to determine the product fragment size. Exons 6, 14 and 25 of the original and amplified samples undergone PCR, and were examined again using gel electrophoresis to ascertain that the amplicons were amplifiable. Mutation analysis using HRM was carried out with pre-existing primers for all 27 exons and the promoter of RB1. Samples from patients were analysed against 83 saliva DNAs extracted using Oragene•DNA (OG-500) Kit. REPLI-g was observed to produce higher yield and products of reliable fragment size. Single distinct bands were also seen for exons amplified using REPLI-g, indicating that REPLI-g is more accurate and suitable in the amplification of DNA. Abnormal melt profiles were obtained for exon 6 in RB477 and exon 14 in RB572 for HRM. These exons were sequenced to determine the exact mutation. Exon 6 was found to have a splice-site mutation g.607+1G>T, while a point mutation, g.1363C>T (p.Arg455X) was identified in exon 14. Both the uses of saliva as a non-invasive DNA source and the WGA approach for enriching DNA sample for application in RB1 gene analysis have never been reported for RB. Although HRM analysis has been used for other diseases, this is its first instance applied in work on RB1 gene. In short, this report offers novel and promising approaches which would contribute significantly to the molecular analysis of mutations in RB.