## 数学模型在生物信息学中的应用

Abstract
Bioinformatics is a new inter discipline. It is the study of the biological data, and its research methods, from various computing technology is derived. With the Human Genome Project and some model organism genome project, the biological data in the public database is growing faster. How from the massive biological data interpretation, extraction and obtain the useful biological information, has become a urgent problem to be solved genome plan the next step. This paper firstly introduces the object of study in biology, have basic knowledge about nucleic acid, protein and in detail. The main research contents of the following two parts:

In the second chapter, we first introduce the basic steps of mathematical modeling and the related knowledge; and then introduced the cross model and bioinformatics, the application method of mathematical modeling in biology have for example.
In the third chapter, we introduce the method of frequency comparison using a codon and the synonymous codon, which is on the basis of a 3 element vector extracted to describe and characterize DNA sequences model. The advantages of our method is neither need graphic representation and invariant calculation of high order matrix, do not need to perform multiple sequence alignment. For the 7different beta globin gene of the first explicit similarity between sub band coding sequence analysis shows that our method is feasible.
Key words:Biological sequence; mathematical modeling;Bioinformatics

1 绪   论    1
1.1生物信息学的产生背景    1
1.2生物信息学的研究对象    1
1.2.1核酸    2
1.2.2 蛋白质    4
1.2.3 中心法则    6
1.3 生物信息学的主要研究领域    9
1.3.1 序列比较    9
1.3.2 遗传密码的起源    10
1.3.3 基因识别    10
1.4 本文的主要工作    11
2 数学建模    12
2.1数学建模的概念    12
2.2数学模型的分类    12
2.3数学建模的一般方法    12
2.4模型建立的步骤    13
2.5 数学模型与生物信息学的交叉    14
3 DNA 序列数学模型的建立以及相似性分析    16
3.1 实验数据    16
3.2 DNA 序列的数值刻画及模型建立    17
3.3 DNA 序列的相似性分析    19 源￥自%六^^维*论-文+网=www.lwfree.cn
3.4 小结    20 数学模型在生物信息学中的应用:http://www.lwfree.cn/shuxue/20180412/13055.html
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