This book looks at the mathematical foundations of the models currently in use. All existing books on bioinformatics are software-orientated and they concentrate on computer implementations of mathematical models of biology. This book is unique in the sense that it looks at the mathematical foundations of the models, which are crucial for correct interpretation of the outputs of the models.
Alexander Isaev is a senior lecturer in mathematics at The Australian National University, Canberra. His mathematical background is the area of several complex variables. After completing a PhD degree in 1990 at the Moscow State University, he taught at the University of Illinois (Urbana-Champaign) and at Chalmers University of Technology, Göteborg, Sweden. One is his current interests is in applying mathematics to biology.
Sequence Analysis.- Introduction: Biological Sequences.- Sequence Alignment.- Markov Chains and Hidden Markov Models.- Protein Folding.- Phylogenetic Reconstruction.- Mathematical Background for Sequence Analysis.- Elements of Probability Theory.- Significance of Sequence Alignment Scores.- Elements of Statistics.- Substitution Matrices.