9780521585262

Mathematics of Genome Analysis

by
  • ISBN13:

    9780521585262

  • ISBN10:

    0521585260

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2001-12-03
  • Publisher: Cambridge University Press
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Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

Summary

The massive research effort known as the Human Genome Project is an attempt to record the sequence of the three trillion nucleotides that make up the human genome and to identify individual genes within this sequence. The description and classification of sequences is heavily dependent on mathematical and statistical models. This short textbook presents a brief description of several ways in which mathematics and statistics are being used in genome analysis and sequencing.

Author Biography

Jerome K. Percus is Professor of Physics and Mathematics at the Courant Institute of Mathematical Sciences and Department of Physics at New York University

Table of Contents

Preface ix
Decomposing DNA
1(12)
DNA Sequences
1(5)
Restriction Fragments
6(3)
Clone Libraries
9(1)
Assignment 1
9(4)
Recomposing DNA
13(29)
Fingerprint Assembly
13(5)
Anchoring
18(5)
Restriction-Fragment-Length Polymorphism (RFLP) Analysis
23(4)
Assignment 2
27(1)
Pooling
28(7)
Assignment 3
35(1)
Reprise
36(6)
Sequence Statistics
42(39)
Local Properties of DNA
42(7)
Long-Range Properties of DNA
49(4)
Longest Repeat
50(3)
Assignment 4
53(20)
Displaced Correlations
53(1)
Nucleotide-Level Criteria
54(7)
Batch-Level Criteria
61(4)
Statistical Models
65(8)
Assignment 5
73(1)
Other Measures of Significance
73(8)
Spectral Analysis
73(5)
Entropic Criteria
78(3)
Sequence Comparison
81(37)
Basic Matching
81(15)
Mutual-Exclusion Model
82(3)
Independence Model
85(2)
Direct Asymptotic Evaluation
87(2)
Extreme-Value Technique
89(7)
Assignment 6
96
Matching with Imperfections
92(11)
Score Distribution
92(5)
Penalty-Free Limit
97(2)
Effect of Indel Penalty
99(1)
Score Acquisition
100(3)
Multisequence Comparison
103(4)
Locating a Common Pattern
103(2)
Assessing Significance
105(2)
Assignment 7
107(11)
Category Analysis
108(3)
Adaptive Techniques
111(7)
Spatial Structure and Dynamics of DNA
118(11)
Thermal Behavior
118(5)
Dynamics
123(4)
Effect of Heterogeneity
127(1)
Assignment 8
127(2)
Bibliography 129(8)
Index 137

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