Book by Stecherbic and Buchatsky: Living Matter – Algebra of Molecules


Valery V. Stcherbic, Leonid P. Buchatsky, Living Matter: Algebra of Molecules, December 18, 2015 by CRC Press, Reference – 160 Pages – 20 Color & 22 B/W Illustrations, ISBN 9781498741378 – CAT# K26737, 79 USD hardback, URL: https://www.crcpress.com/Living-Matter-Algebra-of-Molecules/Stcherbic-Buchatsky/9781498741378

Features
• Utilizes modern mathematics (Clifford algebra).
• Contains new approaches to biological processes.
• Contains original interpretations of biochemistry.
• Utilizes many color figures to complement the material presented.

Summary: 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.

Table of Contents

PREFACE TO THE ENGLISH EDITION
PREFACE TO THE RUSSIAN EDITION

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
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

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
Quadratic form of the genetic code
Graph of genetic code states
Interpretation of genetic code graph
DEGENERACY OF THE GENETIC CODE
REFERENCES

3. 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
REFERENCES

4. CANCER: VIRUSES, ATTRACTORS, FRACTALS
POLYOMAVIRUSES
Skew symmetry Т = 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

5. 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

Source: URL: https://www.crcpress.com/Living-Matter-Algebra-of-Molecules/Stcherbic-Buchatsky/9781498741378

1 Comment

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One response to “Book by Stecherbic and Buchatsky: Living Matter – Algebra of Molecules

  1. The book has some ideas about DNA and RNA that seem to me to show
    that my favorite Clifford Algebra Cl(16) is the key to understanding DNA function and also RNA function so I wrote up a short paper at
    http://vixra.org/abs/1601.0177
    about that, which seems to me to explain a lot about the connection
    between DNA that organizes the physical body and Microtubules that are the basis of Penrose-Hameroff Quantum Consciousness.
    Tony Smith (author of this comment)

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