大部分的生物現象和特徵表現通常都是由許多基因一起發揮作用產生的結果。近年來，科學家發現卡路里限制法(caloric restriction) 可使生物延長壽命，且與蛋白激酶的調控機制有關。王姵力(2009) 分析多時期互補核酸微陣列晶片(cDNA microarray)，篩選出210 個蛋白激酶(protein kinase)。本文進一步分析210個蛋白激酶之表現行為，以無母數迴歸之lowess 法概估其基因表現。由於細胞在成長、分化上具有週期性，本文利用傅利葉模型(Fourier model) 配適 210 個蛋白激酶，以AIC 準則決定210 個傅利葉模型中的term 和週期，再利用標準化後的傅利葉配適值進行分類，挑選出25 個感興趣的長壽基因。經過進一步分析這些感興趣基因之傅利葉模型的特性值，我們對長壽基因的特性可有更深入的瞭解。利用我們的方法所挑選出25 個長壽基因中，與曾怡靜(2010) 所挑選出的21 個中有19 個相同，而曾怡靜(2010) 有 2 個基因本文並未挑選為感興趣的長壽基因，其Locus 分別為TVAG_498970、TVAG_090890；相較於曾怡靜(2010)本文多挑選出的 6 個感興趣的長壽基因，其Locus 分別為gene 71207、TVAG_213320、TVAG_305410、TVAG_203770、TVAG_047950 和TVAG_464780。

Most of the biological phenomena or disease is the result of the interactions of multiple genes. Extensive studies on the restriction of caloric (CR) intake showed that CR can extend the longevity in many organisms. Wang (2009) examined the time-course gene expression levels of 210 T.vaginals protein kinase genes under CR. In this thesis, due to periodic phenomena of cell activity, we used Fourier model to fit gene expression levels over time. The term and cycle of the Fourier model in fitting each gene expression over time is determined by using AIC criteria. It is found that, after standardizing the Fourier fitted value, twenty-five genes are with increasing pattern or horizontally fluctuating pattern. The Fourier characteristics of the twenty-five genes are further identified. Compared with the results of Tseng (2010), nineteen genes out of twenty-five genes are the same as Tseng (2010). The rest of the six genes are gene 71207、TVAG_213320、TVAG_305410、TVAG_203770、TVAG_047950 and TVAG_464780.

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