Haplotypes consist of blocks of single nucleotide polymorphisms (SNPs). Haplotypes being a unit of inheritance are widely used for association studies and gene candidate studies. However, obtaining these blocks of SNPs through in vitro methods is both time consuming and expensive. In silico studies try to infer haplotypes from genotypic data. This thesis utilizes a genetic algorithm (i.e. a heuristic approach) guided through two genetic models, essentially the Hardy-Weinberg equilibrium and linkage disequilibrium. These have been statistically assessed by maximum likelihood estimates and a normalized mutual information respectively. This technique generates an adequate solution in polynomial time to an inherently NP-Hard problem. The results showed that our algorithm has a better accuracy rate compared to a genetic algorithm that only utilizes the Hardy-Weinberg equilibrium.

單倍體基因型(Haplotypes)中包含有多組的單核苷酸多型性(single nucleotide polymorphisms). 而單倍體基因型(Haplotypes)做為遺傳研究中的一個單位，已被大量使用於相關遺傳與候選基因的研究當中. 然而，藉由試管實驗的研究方法來獲取這些單核苷酸多型性(SNPs)的資訊，不僅非常花時間，成本也非常高昂. 相反的，筆者嘗試透過電腦模擬的研究方法，藉由基因資料庫的運用與推導進而解讀出這些單倍體基因型的資訊. 本次研究希望透過使用兩組遺傳模型－哈代‧溫柏格平衡定律(Hardy-Weinberg equilibrium)與連鎖不平衡(linkage disequilibrium)，來發展一套新的遺傳演算法(genetic algorithm). 研究所使用的兩組遺傳模型將分別使用最大似然估計法則(maximum likelihood estimates)與標準化共同資訊量(Normalized Mutual Information)進行統計與評估. 而這套遺傳演算法在處理NP困難問題(NP-Hard problem)中，產生出一個適當的多項式時間解決方法. 最終研究結果顯示，研究中所使用的遺傳演算法在只有使用哈代‧溫柏格平衡定律(Hardy-Weinberg equilibrium)時才能有較高的準確率.

Abstract 1
摘要 2
Acknowledgement 3
Chapter 1. Introduction 4
Chapter 2. Haplotype Inference Problem 7
Chapter 3. Existing Methods 8
Chapter 4. Genetic Models 10
Hardy-Weinberg Equilibrium 10
Linkage Disequilibrium 12
Chapter 5. Method 15
Stage 1 15
Initialization 15
Stage 2 16
Partial Haplotype Generator 16
Stage 3 16
Partial Haplotype Pair Generator 16
Stage 4 17
Final Haplotype Pair Generator 17
Stage 5 17
Fitness Function 17
Genetic Algorithm Settings 20
Chapter 6. Materials 21
β2 –Adrenergic receptors 21
Gene CYP19 21
Apolipoprotein E 21
Lipoprotein Lipase Gene 21
Chapter 7. Results and Comparisons 22
Accuracy Rate 22
β2 –Adrenergic receptors 22
Gene CYP19 22
Apolipoprotein E 22
Lipoprotein Lipase Gene 23
Chapter 8. Future Work 24
Chapter 9. Conclusions 25
References 26
Figures & Tables 30

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