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.
The topics in this book are very interesting and innovative! DNA has enormous information and advanced mathematical tools from algebra can play an extremely important role in deciphering the mystery of life.’ – Kelin Xia Associate Professor, Nanyang Technological University, Singapore
‘The book is highly topical and interesting. The two authors are very respected and diligent scientists with many years of research experience in the specified field. It is very much in the interest of the international interdisciplinary scientific community that the individual results of the authors, which have been published in several articles up to now, appear in book form, which can particularly clearly emphasize a kind of red thread in this important research area.’ – Elena Fimmel Professor, Mannheim University of Applied Sciences, Germany
‘This is a wonderful book on the algebraic patterns and structures hidden inside biology, which provides a good reference for mathematicians, statisticians, computer scientists, and biologists working in computational biology and bioinformatics.’ – Jie Wu Professor, Hebei Normal University, China
‘In this book, using extensive phenomenological material, it is convincingly shown that general biological structures associated with the genetic heredity of organisms are associated with algebraic structures known in mathematics, physics and computer science. In other words, there is a huge intersection between the world of biological phenomena and the world of algebraic abstractions … The book will be of interest to a wide range of readers: biologists and physicists, mathematicians and bioinformatics, philosophers and computer scientists, historians and art historians, representatives of science and culture of the West and East, students and professors.
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
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