2.1. Rhombic variant of the genetic dictionary

 

Of course, you know, what is it?

 

 

That's right, it's "Yin - Yang" - an ancient Chinese symbol of unity and conflict of opposites.

 

 

And this is a rhombic variant of the genetic dictionary

Fig. 1. The Ancient Chinese symbol «Yin - Yang».

Fig. 2. A rhombic variant of the genetic dictionary based on the complementarity of encoding nucleotides (doublet genetic code).

 

The rhombic variant of the genetic dictionary is similar to the "Yin-Yang", isn’t it?

 

"Rhombus" is based on the complementarity of encoding nucleotides [12]. Its prototype is the regularities of structure of the doublet code, revealed for the first time by Rumer [13].

 

Let's remind the rules of complementarity:


C <-> G, U <-> A.


Just so, in the order
CC, GG, UU, AA doublets on the vertical diagonal of the rhombus are located.

 

 

 

The remaining doublets are obtained as follows:

 

- The first bases of doublets in the rows, going from top to bottom from left to right, coincide with the first base of the central pairs, for example, rows with the C and G by bases in the first position;

 

- In series of doublets, going down from right to left, second base coincides with the second base of the central pairs, for example, rows with the U and A bases in the second position.

 

 

 

Properties of a doublet genetic code, which are revealed by "Rhombus"

1.   The presence of two groups of doublets

2.   The relationship of the two groups of doublets Rumer’s transformation

 

The rhombus consists of two groups of doublets, arranged compactly and symmetrically (group of symmetry С2).

 

In the group of 8 red doublets the third base of a triplet can be any, i.e. completely degenerate (so they are not shown in Figure 2).

 

In the group of 8 dark blue doublets the first pair of the triplets coding, as a rule, the same amino acid, terminates by C, U, and the second pair of triplets coding for another amino acid - by G, A.

In Figure 2 they are shown in brackets in the first and in the second lines for each amino acid.

 

 

Each of the eight red doublets, coding for one amino acid is converted by the rule C <-> A, G <-> U (Rumer’s transformation) into one of the dark blue doublets, coding for the two values.

 

In this case, as shown in Figure 1, doublets connected by Rumer’s transformation, occupy in "Rhombus" symmetrical position, for example:

AС < -- > CA, UC < -- > GA, GC < -- > UA, etc.

3.   The compact arrangement of pairs of doublets connected by complementarity

4.   The compact arrangement of amino acids similar in structure

 

Pair of doublets connected by  parallel complementarity (read in one direction, i.e. from left to right) have appeared against each other at the corners of a rhombus and have formed quartets (marked by cross), for example:



UC < -- > AG, AC < -- > UG.

 

The triplets associated by antiparallel complementarity (are read in opposite directions) are in adjacent rows of the doublets going down from right to left, for example:

 

AUG < -- > CAU, UUU < -- > AAA etc.

 

- short-chain amino acids: proline (Pro), glycine (Gly), alanine (Ala), serine, and (Ser), threonine (Thr) cysteine ​​( Cys) are close to the ranks of doublets with C and G in the second position;

 

-  non-polar amino acids: leucine (Leu), valine (Val), phenylalanine (Phe), isoleucine (Ile), methionine (Met) are situated compactly in a series of doublets with U in the second position;

 

- polar amino acids: histidine (His), glutamine (Gln), aspartic (Asp), glutamic (Glu), tyrosine (Tyr), asparagine (Asn), lysine (Lys) are among the doublets with A in the second position.

 

 

The listed properties, first of all, the Rumer’s transformation, remain in all subsequent constructions, particularly in the spatial structure of the doublet code (section 2.2.).

 

 

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