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Living matter : algebra of molecules / Valery V. Stcherbic, Leonid P. Buchatsky. -- Boca Raton : Taylor & Francis, 2016. – (58.173 /S798m) |
Contents
Preface
1. DNA Structure and Clifford Algebra
DNA Replication
Clifford Algebra
DNA Replication and Clifford Algebra
Complementary DNA Pairs
Clifford Algebra of DNA Nucleotides
Klein-Gordon Equation
Appendix 1.1: Mathematics of Clifford Algebra
Appendix 1.2: Hadamard Matrices of Clifford
Algebras
Appendix 1.3: Clifford Algebra Cl(4, 2)
Appendix 1.4: Presentation of Clifford Algebra by
RNA Molecules
Selected Bibliography
2. tRNA Molecule in Affine Space
Clifford Algebras of tRNA and Aminoacyl-tRNA
Synthetases
Curvature Tensor of Four-Dimensional Riemann Space
Curvature Tensor and L-Function of tRNA
Hidden Symmetry of the Genetic Code
Degeneracy of the Genetic Code
Selected Bibliography
3. Fine-Structure Constant in Presentation of
Biomolecules
Fine-Structure Constant and Protein Structure
Fine-Structure Constant and ATP Molecule
Fine-Structure Constant and DNA Structure
Fine-Structure Constant and Cap-Structure of mRNA
Appendix 3.1: Clifford Algebras of Simple Chemical
Compounds
Appendix 3.2: Algebraic Formulae of the Constant 1/α
Commentary 3.1
Commentary 3.2
Selected Bibliography
4. Cancer:. Viruses, Attractors, Fractals
Polyomaviruses
Stochastic Henon Attractor
Fractal Properties of T-Antigens and Protein Capsid
of Polyomaviruses
Malignant Tumor is a Gigantic Compaction of the
Fractal
State Space
Clifford Algebra of Tumour Growth
The Future of Oncology
Selected Bibliography
5. Transformation of Genetic Information into
Clifford Algebra
RNA Splicing
Discrete Symmetry of Globular Proteins
Clifford Algebra of Globular Proteins
Appendix 5.1: Clifford Algebra of Small T-Antigen
of SV40 Virus
Appendix 5.2: Clifford Algebras of Genetic Code
Amino Acids
Selected Bibliography
Supplementary Materials
DNA coding of signature of Clifford algebra
DNA transcription and bundle of Clifford algebra
Butterfly Spin(p, q)-structure
Centrosome Spinψ(p, p)-structure
Selected readings
