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Living Matter
Algebra of Molecules
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Main description:

This book provides a review of biochemistry as an algebra of molecules of living matter and utilizes Clifford algebras to discuss the basic biochemical processes of DNA replication, DNA transcription, RNA splicing and translation. Viral carcinogenesis is discussed in depth, specific attention is paid to the structural features of biomolecules that define a particular Clifford algebra, and useful examples of genetic information being transformed into Clifford algebras are provided.


Contents:

PREFACE TO THE ENGLISH EDITION PREFACE TO THE RUSSIAN EDITION 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 Structural equations of 2-deoxyribose Structural equations of phosphates Structural equations of complementary pairs Structural equations of nucleotide triplets APPENDIX MATHEMATICS OF CLIFFORD ALGEBRA APPENDIX HADAMARD MATRICES OF CLIFFORD ALGEBRAS APPENDIX CLIFFORD ALGEBRA Cl(4, 2) APPENDIX PRESENTATION OF CLIFFORD ALGEBRA BY RNA MOLECULES REFERENCES 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 Quadratic form of the genetic code Graph of genetic code states Interpretation of genetic code graph DEGENERACY OF THE GENETIC CODE REFERENCES FINE-STRUCTURE CONSTANT IN PRESENTATION OF BIOMOLECULAS FINE-STRUCTURE CONSTANT AND PROTEIN STRUCTURE The structure of amino acids of the genetic code Interpretation of reversed fine-structure constant FINE-STRUCTURE CONSTANT AND ATP MOLECULE Connection of ATP with fractional part of the constant 1/a FINE-STRUCTURE CONSTANT AND DNA STRUCTURE FINE-STRUCTURE CONSTANT AND CAP-STRUCTURE OF mRNA APPENDIX CLIFFORD ALGEBRAS OF SIMPLE CHEMICAL COMPOUNDS APPENDIX ALGEBRAIC FORMULAE OF CONSTANT 1/a Rosen formula Wyler formula COMMENTARY COMMENTARY REFERENCES CANCER: VIRUSES, ATTRACTORS, FRACTALS POLYOMAVIRUSES Skew symmetry T = 3 of polyomavirus protein capsid STOCHASTIC HENON ATTRACTOR Parameters of genome and proteins of polyomavirus capsid Parameters of Henon map for polyomavirus proteins Henon map parameters for antigens Henon attractor FRACTAL PROPERTIES OF T-ANTIGENS AND PROTEIN CAPSID OF POLYOMAVIRUSES j -factor of large and small T-antigens j -factor of polyomavirus protein capsid MALIGNANT TUMOR IS A GIGANTIC COMPACTION OF THE FRACTAL STATE SPACE Function of compaction of fractal states Resonances of equivalence for benign tumour Condensation of fractal states CLIFFORD ALGEBRA OF TUMOR GROWTH THE FUTURE OF ONCOLOGY REFERENCES TRANSFORMATION OF GENETIC INFORMATION TO CLIFFORD ALGEBRA RNA SPLICING Splicing phenomenon Group of alternatives Diagrams of introns Alternative splicing DISCRETE SYMMETRY OF GLOBULAR PROTEINS Modular group SL(2, 5) CLIFFORD ALGEBRA OF GLOBULAR PROTEINS APPENDIX CLIFFORD ALGEBRA OF SMALL T-ANTIGEN OF SV40 VIRUS APPENDIX CLIFFORD ALGEBRAS OF GENETIC CODE AMINO ACIDS REFERENCES SUPPLEMENTARY MATERIALS DNA coding of signature of Clifford algebra DNA transcription and bundle of Clifford algebra Butterfly Spin(p, q) - structure Centrosome SpinY (p, p)- structure Selected readings INDEX


PRODUCT DETAILS

ISBN-13: 9781498741385
Publisher: Productivity Press
Publication date: November, 2015
Pages: 176

Subcategories: Biochemistry