Genetic Patterns Bibliography

 

There has been an intensifying of research into the mathematical patterns within the genetic code. These patterns show that the code was present in a complete form prior to life itself - to quote Shcherbak -

 

Quote:
The genetic code turns out to be a syntactic structure of arithmetic, the result of unique summations that have been carried out by some primordial abacus at least three and half billion years ago.
Quote:
They refute traditional ideas about the stochastic origin of the genetic code. A new order in the genetic code hardly ever went through chemical evolution and, seemingly, originally appeared as pure information like arithmetic itself.


What is emerging from the researches of Shcherbak and others is absolutely amazing. Here are links to their latest publications -

Rakocevic - "Genetic Code as a Harmonic System

Shcherbak - "The Arithmetic Origin of the Genetic Code (2008)

Rakocevic - "A Harmonic Structure of the Genetic Code" (2004)

Rakocevic - "Genetic Code as a Harmonic System"

Rakocevic

Shcherbak 1

Shcherbak 2

 

Here is an interesting paper by Negadi

Negadi

 

One of the properties of the mathematical patterns found within the genetic code is "cyclic permutation". Here are some references to this really incredible phenomenon -

1. J Theor Biol. 1984 Oct 21;110(4):681-90. Cyclic permutations in the genetic code, the 4 x 4 magic square and the antiparallelism of DNA. Reiner BS.

2. http://www.springerlink.com/content/9760153584t65n10/

3. http://biochempress.com/Files/IECMD_2003/IECMD_2003_060.pdf

4. http://www.doaj.org/doaj?func=abstract&id=100421

5. Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications Sergey Petoukhov (Russian Academy of Sciences, Russia (Author)); Matthew He (Nova Southeastern University, USA (Author))

6. http://www.rakocevcode.rs/page.php?11

7. http://adsabs.harvard.edu/full/2001ESASP.496..173J

8. http://www.pharma.uzh.ch/research/functionalimaging/members/jolivet/proceedings_EWEAB01.pdf

 

References about Cyclic Permutations in the Genetic Code

1. Ahmed, N., & Rao, K. (1975) Orthogonal transforms for digital signal processing. New-York: Springer-Verlag Inc.

2. Aksenova, M. (Ed.). (1998). Encyclopedia of biology. Moscow: Avanta+ (in Russian).

3. Arques, D., & Michel, Ch. (1996). A complementary circular code in the protein coding genes. J.Theor.Biol., 182, p.45-58

4. Arques, D., & Michel, Ch. (1997). A circular code in the protein coding genes of mitochondria. J.Theor.Biol., 189, p.45-58.

5. Eigen, M. (1979). The hypercycle - a principle of natural self-organization. Berlin: Springer-Verlag.

6. Frey, G., & Michel, Ch. (2003). Circular codes in archaeal genomes. J.Theor.Biol., 223, p.413-431.

 

7. Frey, G., & Michel, Ch. (2006). Identification of circular codes in bacterial genomes. Comput. Biology a.Chemistry, 20, p.87-101.

8. He, M., Petoukhov, S.V. (2007) Harmony of living nature, symmetries of genetic systems and matrix genetics. International journal of integrative medicine, 1, 1, 41-43.

9. Kline, M. (1980). Mathematics. The loss of certainty. N-Y, Oxford University Press.

10. Petoukhov, S.V. (1989). Non-Euclidean geometries and algorithms of living bodies. Computers & Mathematics with Applications, v.17, № 4-6, p.505-534.

11. Petoukhov, S.V. (2008a). Matrix genetics, algebras of the genetic code, noise immunity. M., RCD, 316 p. (in Russian).

12. Petoukhov, S.V. (2008b) The degeneracy of the genetic code and Hadamard matrices. arXiv:0802.3366 [q-bio.QM].

13. Petoukhov S.V. (2008c). Matrix genetics, part 1: permutations of positions in triplets and symmetries of genetic matrices. arXiv:0803.0888 [q-bio.QM q-bio.GN q-bio.OT]

14. Petoukhov, S.V. (2008d). Matrix genetics, part 2: the degeneracy of the genetic code and the octet algebra with two quasi-real units (the "Yin-Yang octet algebra"). arXiv:0803.3330

15. Petoukhov, S.V. (2008e). Degeneracy of the genetic code and its own multi-dimensional algebra. Abstracts of XX International Congress of Genetics (Berlin, 12-17 July, 2008), p.209.

16. Russell, B. (1945). A history of western philosophy. New York: Touchstone.

17. Stambuk, N. (1999). Circular coding properties of gene and protein sequences. Croatia Chemica Acta, 72 (4), p.999-1008

18. Weinberger, N. M. (2004). Music and brain. Sci. Amer., 291(5), 88-95.

19. Whitrow, G. J. (1961). The Natural Philosophy of Time. New York: Harper, 1961.

20. Wright, K. (2002). Times of our lives. Sci. Amer., 287(3), 58-65. Whitrow, G. J. (1961). The Natural Philosophy of Time. New York: Harper, 1961.

 

 


 

 



 

Craig