生物信息学中的数学方法

生物信息学中的数学方法

王嘉松, 严明, 编著

出版社:科学出版社

年代:2013

定价:88.0

书籍简介:

本书采用将生物分子的符号序列首先变换为数值序列,之后,用数学方法从这些数列中提取生物信息。因而,先全面系统介绍了DNA序列和蛋白质序列的数字及图形表达后,就用几种正交变换进行基因识别,蛋白质对比,以及用聚类分析来了解DNA和蛋白质的性质及进行分类。微数组,脂肪组是现成的大量生物数据,我们就用数理统计方法处理这些数据得到了某种癌症的诱因,生物过程是动态过程,书中介绍了用微分方程和差分方程模型模拟这种过程的多种算法。由于生物数据部分缺失现象经常发生,最后介绍了迷失数据弥补的许多方法。

书籍目录:

PREFACE

CHAPTER 1 SOME BIOLOGICAL CONCEPTS

1.1 Cell

1.2 Genetic Material: DNA, Gene and RNA

1.2.1 DNA

1.2.2 Gene

1.2.3 RNA

1.3 Protein and Amino Acids

1.4 Chromosome

1.5 Omics

1.5.1 Genomics

1.5.2 Microarray

1.5.3 Proteomics

1.5.4 Lipidomics

REFERENCES

CHAPTER 2 GRAPHICAL REPRESENTATIONS OF DNA SEQUENCE

2.1 Three-Dimension (3-D) GraphicaIRepresentation

2.2 2-DGraphicalRepresentatio

2.3 2-D GraphicalRepresentations Without Degeneracy

2.4 Used a 1-D NumerioalRepresentation offourNucleotides to Construct a 2-D Graplucal Representation ofthe DNA Sequence

REFERENCES

CHAPTER 3 NUMERICAL REPRESENTATIONS OF DNA SEQUENCE

3.1 4-D and 3-D Numerical Representations of a DNA Sequence

3.2 2-D Numerical Representations of a DNA Sequence

3.3 The Complex NumericalRepresentation

3.4 1-D Numerical Representations of four Nucleotides and 2-D Graphical

Representation of a DNA Sequence

3.5 The Representations ofFeature Vector, Genome Space and Matrix Representation of DNA Sequence

3.6 The Numerical Representation Based on Physical, Chemical and Structural

Properties of DNA Sequence

3.6.1 The numericalrepresentations based on some attribute equivalences

ofnucleotides

3.6.2 The representation of DNA by the inspiration from codon and the idea ofthree attribute equivalences

3.6.3 EIIPnumericalrepresentationfornucleotides

REFERENCES

CHAPTER 4 NUMERICAL REPRESENTATIONS OF PROTEIN

4.1 1-D Numericaland GraphicalRepresentations ofthe AminoAcid Sequence

4.2 2-DNumericaland GraphicalRepresentations ofthe AminoAcid Sequence

4.3 A 2-D Graphical Representation and Moment Vector Representation of Protein

4.4 3-D Numerical Representation of Protein

4.5 The 10-D Representation ofan Amino Acid

4.6 The Vector andMatrix Representations of Protein Sequence and Protein Space

4.7 Other Schemes of the Representation for Protein

REFERENCES

CHAPTER 5 PRACTICAL ORTHOGONAL TRANSFORM

5.1 Some Features and Algorithms for the Discrete Fourier Transform

5.1.1 Fourier transforms ofthe original sequence and its subsequence

5.1.2 The independency ofthe Fourier transforms at several frequencies

5.1.3 The Fourier transform ofsymbolic sequence

5.1.4 Fourier transform ofbinary sequence

5.1.5 Several algorithms ofFourier transform

5.1.6 The properties ofFourier transform ofreal sequence

5.2 WaveletAnalysis

5.2.1 Introduction

5.2.2 Multiresolution analysis ofa function by Haar scaling and wavelet

function

5.2.3 Construction of wavelet systems

5.2.4 Mallet transform

REFERENCES

……

CHAPTER 6 IDENTIFYING PROTEIN-CODING REGIONS (EXONS) BY NUCLEOTIDEDIS TRIBUTIONS

CHAPTER 7 PROTEIN COMPARISON BY ORTHOGONAL TRANSFORMS

CHAPTER 8 THE APPLICATION OF VECTOR REPRESENTATIONSTOBIOLOGICAL MOLECULE ANALYSIS

CHAPTER 9 THE STATISTICS ANALYSIS OF LARGE AMOUNT OF EXPERIMENTAL DATA

CHAPTER 10 APPLY SINGULAR VALUE DECOMPOSITION TO MICROARRAY ANALYSIS

CHAPTER 11 DYNAMICALANALYSIS MODELS OF GENE EXPRESSION

CHAPTER 12 MISSING MICROARRAY DATAINPUTTING

PLATE

内容摘要:

Numerical Methods in Bioinformatics An Introduction presents the numerical methods for Bioinformatics as following: several numerical substitutions represent the DNA and protein sequences as the numerical or graphical sequences;Fourier and wavelet transforms are used in gene identification and protein comparison;based on the data set of microarray or lipidomics with huge amount experiment data,suitable statistical and algebraic methods are used in studying biological features of two sets,under the representations of feature vectors,the classifications of two biological molecules are completed by clustering analysis;the models of differential and difference equations have been constructed which represent the biological dynamic process;and the techniques of missing data inputting have helped to estimate the missing entries coming from biological observations and experiments,and so on.In addition,some biological concepts involved by these methods are introduced also.

书籍规格:

书籍详细信息
书名生物信息学中的数学方法站内查询相似图书
9787030369857
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出版地北京出版单位科学出版社
版次1版印次1
定价(元)88.0语种英文
尺寸24 × 17装帧平装
页数 210 印数

书籍信息归属:

生物信息学中的数学方法是科学出版社于2013.3出版的中图分类号为 Q5 的主题关于 生物分析-序列-数据模型-生物信息论-英文 的书籍。