Historically, mathematics, probability, and statistics have been widely used in the biological sciences. Recent progress in genomics has yielded many millions of gene sequences. But what do these sequences tell us and what are the generalities and rules governed by them? It seems that we understand very little about the genetic contexts required to 'read' them. There is more to life than the genomic blueprint of each organism. Life functions within the natural laws that we know and the ones we do not know. The development of modern mathematical natural sciences is based on the use of certain mathematical tools. Mathematics can be used to understand life from the molecular to the biosphere level.

This book provides the foundation and latest advances for an emerging research area that uses tools from symbolic computation, computer algebra and logic, algebraic geometry, fractal geometry, probability and statistics, and matrix algebra to formalize and solve biological problems and explore its applications in algebraic biology and code biology. It introduces highly interdisciplinary topics in biomathematics such as matrix genetics, gestalt biology, bio-antenna arrays, resonance genetics, quantum biology, and more.

Contents:

• Genetic Code Systems, Emergence Features, and Analysis by Algebraic Matrices


• Genetic Code Systems, Algebraic Holography, and Noise Immunity


• Theory of Resonances and the Concept of Multi-Resonance Genetics


• Universal Rules of the Stochastic Organization of Genomic DNAs


• Biological Dualism 'Stochastics-Determinism', Phenomena of Gestalt Biology, and Bio-Symmetries


• The Doctrine of Energy-Informational Evolution on Bio-Antenna Arrays


• Genetic Code Systems and Quantum Biology


• Genetic Code Systems and Mathematical Variety


• Algebraic Modeling of Biological Dualism 'Stochastics-Determinism' and Gestalt Phenomena


• Harmonic Progression in the Stochastic Organization of Genomic DNAs


• Fractal-like Features of Genomic DNAs


• Genetic Biomechanics and United-Hypercomplex Systems


• Musical Harmony in Parameters of Molecular Genetics


• Geno-Logical Aspects of Genetic Coding

Readership: This highly interdisciplinary book will attract mathematicians, statisticians, computer scientists, and biologists working in all aspects of computational biology and bioinformatics.

Key Features:

• Reveal algebraic symmetrical patterns hidden inside genetic code systems


• Draw connections between algebraic structures and systems biology


• Present potential applications in various fields