Mathematics of Bioinformatics Theory, Practice, and Applications by Matthew He and Sergey Petoukhov
Contents of Mathematics of Bioinformatics eBook
- Bioinformatics and Mathematics
- Genetic Code and Mathematics
- Mathematical Background
- Converting Data to Knowledge
- The Big Picture: Informatics
- Challenges and Perspectives
- Genetic Codes, Matrices, and Symmetrical Techniques
- Matrix Theory and Symmetry Preliminaries
- Genetic Codes and Matrices
- Genetic Matrices, Hydrogen Bonds, and the Golden Section
- Symmetrical Patterns, Molecular Genetics, and Bioinformatics
- Challenges and Perspectives
- Biological Sequences, Sequence Alignment, and Statistics
- Mathematical Sequences
- Sequence Alignment
- Sequence Analysis and Further Discussion
- Challenges and Perspectives
- Structures of DNA and Knot Theory
- Knot Theory Preliminaries
- DNA Knots and Links
- Challenges and Perspectives
- Protein Structures, Geometry, and Topology
- Computational Geometry and Topology Preliminaries
- Protein Structures and Prediction
- Statistical Approach and Discussion
- Challenges and Perspectives
- Biological Networks and Graph Theory
- Graph Theory Preliminaries and Network Topology
- Models of Biological Networks
- Challenges and Perspectives
- Biological Systems, Fractals, and Systems Biology
- Fractal Geometry Preliminaries
- Fractal Geometry in Biological Systems
- Systems Biology
- Challenges and Perspectives
- Matrix Genetics, Hadamard Matrices, and Algebraic Biology
- Genetic Matrices and the Degeneracy of the Genetic Code
- The Genetic Code and Hadamard Matrices
- Genetic Matrices and Matrix Algebras of
- Hypercomplex Numbers
- Some Rules of Evolution of Variants of the Genetic Code
- Challenges and Perspectives
- Bioinformatics, Denotational Mathematics, and Cognitive Informatics
- Emerging Pattern, Dissipative Structure, and
- Evolving Cognition
- Denotational Mathematics and Cognitive Computing
- Challenges and Perspectives
- Evolutionary Trends and Central Dogma of Informatics
- Evolutionary Trends of Information Sciences
- Central Dogma of Informatics
- Challenges and Perspectives
