This monograph addresses, in a systematic and pedagogical manner, the mathematical methods and the algorithms required to deal with the molecularly based problems of bioinformatics. Prominent attention is given to pair-wise and multiple sequence alignment algorithms, stochastic models of mutations, modulus structure theory and protein configuration analysis. Strong links to the molecular structures of proteins, DNA and other biomolecules and their analyses are developed.

Shiyi Shen

Since 1985, professor of mathematics, 1987-1998: chair of the department of mathematics, and the dean of the college of mathematical sciences; a standing committee of China Mathematical Society, the director of the Tianjin Mathematical Society. 1984-1986: visiting scholar of Cornell University; visiting scholar of Stanford University, and visiting researcher at the Hong Kong Chinese University. Shiyi Shen's fields of scientific interest are informatics and bioinformatics. His publications include about 60 journal papers and 6 books (Chinese).

 

Jack Tuszynski

Professor (from 07/1993 until present). Department of Physics, University of Alberta

Research Manager of the Neurons Group, (May 1, 2000- June 1, 2001) Starlab NV, Brussels, Belgium

Visiting Professor, Department of Physics, Ecole Normale Superieure, Lyon, France (December 2000, June-September 2001)

Senior Visiting Fellow, Laboratory of Biomolecular Dynamics, Catholic University of Leuven, Belgium (November-December 2000 and February-March 2001)

Adjunct Professor (from March 1, 2000). Department of Oncology, Division of Medical Physics, University of Alberta.

Visiting Professor (07/1995 - 09/1995). Institut für Theoretische Physik, J. Liebig-Universität GieÃ_en, Germany.

Visiting Professor (07/1993 - 08/1994). Institut für Theoretische Physik, H.Heine-Universität Düsseldorf, Germany.

McCalla Professor (07/1992 - 07/1993). Department of Physics, University of Alberta.

Guest Professor (summer 1992), Visting Scientist (summer 1994, spring 1996). Institute of Mathematical Modelling, Danish Technical University, Lyngby.

Associate Professor (07/1990 - 07/1993). Department of Physics, University of Alberta, Edmonton. Tenure granted effective July 1, 1991.

Assistant Professor (01/1988 - 06/1990). Department of Physics, University of Alberta, Edmonton. Field: theoretical condensed matter physics.

Honorary Assistant Professor (01/1988 - 01/1991). Department of Physics, Memorial University of Newfoundland, St. John's, Newfoundland.

Assistant Professor (09/1983 - 01/1988). Department of Physics, Memorial University of Newfoundland, St. John's. Field: theoretical condensed matter physics. Tenure granted as of September 1, 1987.

Post-doctoral Fellow (04/1983 - 09/1983). Chemistry Department, The University of Calgary. Supervisor: Professor R. Paul. Field: Molecular biophysics.

Outline

Part I: Mutations and alignments
Introduction
Stochastic models of mutations and structure analysis
Modulus structure theory
Super pairwise alignment
Multiple sequence alignment
Network structures of multiple sequences induced by mutation
Alignment space
Part II: Protein configuration analysis
Background information concerning the properties of proteins
Informational and statistical iterative analysis of protein secondary structure prediction
3D structure analysis of the protein backbone and side chains
Alignment of primary and 3D structures of proteins
Depth analysis of protein spatial structure
Analysis of the morphological features of protein spatial structure
Semantic analysis for protein primary structure.