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

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)