The genetic code tables used by the modern science are characterized and determined by principles of biochemistry. However, if in those tables, instead of the UCAG nucleotides we put the number of atoms of those nucleotides, we will get the new tables of the genetic code characterized and determined by programmatic and information principles. Therefore, biochemistry can be explained through a phenomenon out of biochemistry. Particularly interesting results we will get when determining numeric values for the information content of atoms and molecules. We will then find out that those values express physical and chemical characteristics of molecules. For example: in a DNA molecule, the polynucleotide chains are connected through an exact cyber-information connections. In those molecules there are also mathematical matrixes of DNA, represented by the number of atoms of four ATCG bases. These matrixes determine the positioning of nucleotides in that molecule. With this, the biological particularities of DNA are determined. Similar mathematical matrixes determine the positioning of nucleotides in the RNA molecule. In the amino acid proteins, they are interconnected into the respective mathematical chains. In those chains are also matrixes where particular mathematical principles apply, the principles that determine the positioning of each amino acid in the chain.

The herewith discussed research results show that the process of sequencing in bio-macromolecules is conditioned and determined not only through biochemical, but also through cybernetic information principles.

We would particularly like to stress here that the genetic, as well as biochemical information in a broader sense of the word, is determined and characterized by very complex cybernetic and information principles. The constantans in those principles are: the number of atoms and molecules, atomic numbers, atomic weight, physical and chemical parameters, even and odd values, codes and analogue codes, standard deviations, frequencies, primary and secondary values, and many other things. How functioning of biochemistry is determined through cybernetic information principles, will be discussed further in this text.

The Atomic Genetic Code (RNA)

A = 15 atoms; U = 12 atoms; C = 13 atoms; G = 16 atoms;

Number of atoms

Number of atoms in triplets UCAG

.(36+48) = (37+47) = (38+46) = (39+45) = (40+44) = (41+43) etc.

In fact, we discovered that the mathematical balance in the distribution of codons and amino acids in the genetic code is achieved.

Mathematical Position of the Nucleotides in Codon

The development of prediction methods based on digital theory is focused on the exploration of new digital formulas and algorithms. The genetic code is stored in DNA molecules as sequences of bases: adenine (A) which pairs with thymine (T), and cytosine (C) which pairs with guanine (G), The analog of DNA in a digital genetic algorithm is a number of atoms, atomic numbers, analog codes, etc.

At mathematical evolution of genetic processes, nucleotides TCAG are being transformed to codons UCAG and later to amino acids and various organic composition.

Number of atoms

Diagonal D1 = 708; Diagonal D2 = 708;

The digital genetic code describe a genotype, which is translated into an organism a phenotype by the processes of cell division.

Mathematical evolution of genetic processes is manifested in different ways. Evolution of groups of atoms is especially interesting. Here are some examples

Digital Codon Square

A digital codon square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A digital square contains the integers from 1 to n². The term “digital square” is also sometimes used to refer to any of various types of word square.

Number of atoms

D1 = (163+179+187+179) = 708;

D2 = (183+171+171+183) = 708;

The constant sum in every row, column and diagonal is called the magic analogue constant or magic sum, M.

Analogue Atomic Genetic Code

How could we adapt the program, ciberfnetic, and informational system to convey more information? Here’s one way. This is an analogue code.

“Theoretically the ancient book of DNA could have been analogue. But, for the same reason as for our analogue armada beacons, any ancient book copied and recopied in analogue language would degrade to meaninglessness in very few scribe generations. Fortunately, human writing is digital, at least in the sense we care about here. And the same is true of the DNA books of ancestral wisdom that we carry around inside us. Genes are digital, and in the full sense not shared by nerves”(20).

Correlation of the Code and Analogue Code

The atomic and analogue genetic code is the set of rules by which information encoded in genetic material (DNA or RNA sequences) is translated into proteins (amino acid sequences) by living cells. Specifically, those codes defines a mapping between tri-nucleotide sequences called codons and amino acids; every triplet of nucleotides in a nucleic acid sequence specifies a single amino acid. Because the vast majority of genes are encoded with exactly the same code.

Those codes are universal. The same codons are assigned to the same amino acids and to the same START and STOP signals in the vast majority of genes in animals, plants, and microorganisms.

Analogue Code || Code Code

Example:

Analogue Code of the number 12 is number 21:

21 || 12;

Analogue Code of the number 15 is number 51:

51 || 15;

etc.

At this stage of our research we replaced nucleotides from the Amino Acid Code Matrix with analogue numbers of the atoms in those nucleotides.

A = 15 atoms; T = 15 atoms; C = 13 atoms; G = 16 atoms

A = 51; T = 51; C = 31; G = 61;

Analogue Codon Table

Mathematical position of the nucleotides in codon

Diagonal D1 = 2328; Diagonal D2 = 2328;

Row 1 = Column 1; Row 2 = Column 2; Row 3 = Column 3; Row 4 = Column 4;

Analogue Codon Square

A analogue codon square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.

D1 = (442+602+682+602) = 2328;

D2 = (642+522+522+642) = 2328;

The constant sum in every row, column and diagonal is called the magic analogue constant or magic sum, M = 2328;

Correlation: .

Determinsants in Digital analogue Genetic Code

DET (4 x 4).

2681856000

2681856000 = (2328 + 2328 + 2328…, + 2328);

There is a mathematical balance within all of the phenomena in the analogue genetic code matrix.

Mathematical correlation of groups of nucleotides are a proof that genetic processes have evolved from one mathematical shape to another one. They are a proof that we can uncover some of hidden secrets in that science, with the help of mathematics .

Diagonal D1 = 3168; Diagonal D2 = 3168;

The atomic genetic code describe a genotype, which is translated into an organism a phenotype by the processes of cell division.

Mathematical evolution of genetic processes is manifested in different ways. Evolution of groups of atoms is especially interesting. Here are some examples.

Digital Codon Square

A atomic codon square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A digital square contains the integers from 1 to n²;. The term “digital square” is also sometimes used to refer to any of various types of word square.

Number of atoms

D1 = (728+856+776+808) = 3168; D2 = (808+776+776+808) = 3168;

The constant sum in every row, column and diagonal is called the magic analogue constant or magic sum, M.

At this stage of our research we replaced nucleotides from the Amino Acid Code Matrix with analogue of the atomic numbers in those nucleotides.

Analogue Codon Table.

Diagonal D1 = 3168; Diagonal D2 = 3168;

Row 1 = Column 1; Row 2 = Column 2; Row 3 = Column 3; Row 4 = Column 4;

Analogue Codon Square

A analogue codon square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.

D1 = (944+944+960+320) = 3168;

D2 = (952+632+632+952) = 3168;

The constant sum in every row, column and diagonal is called the magic analogue constant or magic sum, M = 3168;

Correlation:.

Determinsants in Digital analogue Genetic Code

DET (4 x 4).

197237145600

197237145600 = (3168+ 3168 + 3168…, + 3168);

There is a mathematical balance within all of the phenomena in the analogue genetic code matrix.

Mathematical correlation of groups of nucleotides are a proof that genetic processes have evolved from one mathematical shape to another one. They are a proof that we can uncover some of hidden secrets in that science, with the help of mathematics.

Atomic Weight.

C = 12,0111; H = 1,00797; N = 14,0067; O = 15,9994; S = 32,064;

A = 135; U = 112; C = 111; G = 151;

The Digital Genetic Code

At the first stage of our research we replaced nucleotides from the Genetic Code with atomic weight of those nucleotides.

Mathematical Position of the Nucleotides in Codon3

The development of prediction methods based on digital theory is focused on the exploration of new digital formulas and algorithms. The genetic code is stored in DNA molecules as sequences of bases: adenine (A) which pairs with thymine (T), and cytosine (C) which pairs with guanine (G), The analog of DNA in a digital genetic algorithm is a number of atoms, atomic numbers, analog codes, etc.

At mathematical evolution of genetic processes, nucleotides TCAG are being transformed to codons UCAG and later to amino acids and various organic composition.

Diagonal D1 = 6108; Diagonal D2 = 6108

The atomic genetic code describe a genotype, which is translated into an organism a phenotype by the processes of cell division.

Mathematical evolution of genetic processes is manifested in different ways. Evolution of groups of atoms is especially interesting. Here are some examples.

Atomic Codon Square

A atomic codon square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A digital square contains the integers from 1 to n². The term “digital square” is also sometimes used to refer to any of various types of word square.

Number of atoms

D1 = (1401+1401+1717+1589) = 6108; D2 = (1561+1493+1497+1557) = 6108;

The constant sum in every row, column and diagonal is called the magic analogue constant or magic sum, M.

At this stage of our research we replaced nucleotides from the Amino Acid Code Matrix with analogue of the atomic weight in those nucleotides.

A = 135; U = 112; C = 111; G = 151;

A = 531; U = 211; C = 111; G = 151;

Analogue Codon Table.

Diagonal D1 = 3168; Diagonal D2 = 3168;

Analogue Codon Square

A analogue codon square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.

D1 = 12048; D2 = 12048

The constant sum in every row, column and diagonal is called the magic analogue constant or magic sum, M = 12048;

Correlation:.

Determinsants in Digital Analogue Genetic Code

DET (4 x 4).

There is a mathematical balance within all of the phenomena in the analogue genetic code matrix.

Mathematical correlation of groups of nucleotides are a proof that genetic processes have evolved from one mathematical shape to another one. They are a proof that we can uncover some of hidden secrets in that science, with the help of mathematics.

It is obvious that digital matrix of amino acid code evolved from digital matrix of nucleotide code.

Mathematical correlation of groups of nucleotides are a proof that genetic processes have evolved from one mathematical shape to another one. They are a proof that we can uncover some of hidden secrets in that science, with the help of mathematics.

It is a rewarding work to translate the biochemical language of amino acids into a digital language because it may be very useful for developing new methods for predicting protein sub cellular localization, membrane protein type, protein structure secondary prediction or any other protein attributes.

This is because ever since the concept of Chou’s pseudo amino acid composition was proposed many efforts have been made trying to use various digital numbers to represent the 20 native amino acids in order to better reflect the sequence-order effects through the vehicle of pseudo amino acid composition. Some investigators used complexity measure factor some used the values derived from the cellular automata, some used hydrophobic and/or hydrophilic values, some were through Fourier transform, and some used the physicochemical distance.

Now, it is going to be possible to use the completely new strategy of research in genetics. However, observation of all these relations which are the outcome of the periodic law (actually, of the law of binary coding) is necessary, because it can be of great importance for decoding conformational forms and stereo-chemical and digital structure of proteins.