4.2.4. Antisymmetry of complementarity

 

 

If we connect the opposite vertices of the dodecahedron by diameters, the side chains of amino acids located at these vertices form a complementary pairs. This type of antisymmetry may be named as antisymmetry of complementarity. The resulting pairs of side-chains linked by three transformations:  a,  b, and g. They have as much as possible opposite size and properties, and if we compare the pairs, starting from the right side and left side, then these properties as would be compensated.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 Antisymmetry of complementarity, as well as rotary antisymmetry, includes 10 pairs of amino acids.

 

Two pairs of amino acids are located in the plane I. The diameter of a dodecahedron, coming in vertically in the plane I, binds a complementary pair: glycine (Gly - white circle)), and proline (Pro - black circle). They are listed in the first column on the right. Their properties are opposite: glycine has no side chain and do not affect the growth of alpha-helices, whereas proline, forming a 5-membered ring, built in the main chain of a protein, breaks its development.

 

Diameter that runs perpendicular to the previous one in in planes I, connects to pairs side chains of alanine (Ala - a circle of light gray color) and leucine (Leu - a circle of dark gray). They are shown in the third column on the left. Their properties are also opposite: alanine has the shortest non-polar side chain, and leucine - the longest one.

 

Below on the right side of a dodecahedron the diameter connects a pair of side chains, which includes a serine (Ser - light green circle) and tryptophan (Trp - crimson circle). The side chain of serine - slightly lighter-polar chain and the heterocycle of tryptophan - the heaviest side chain. They are shown in the third column on the right.

 

At the same level on the left side of the dodecahedron a diameter connects threonine (Thr - dark green circle) and histidine (His - light brown circle). Heavier, in comparison with the serine, threonine side chain is opposed to the lighter, compared to the tryptophan, side chain of histidine. This complementary pair is shown in the first column on the left.

 

The side chain of cysteine ​​(Cys - a circle of light blue) is associated with the diameter of a dodecahedron, connecting this vertex with tyrosine (Tyr - a circle of dark pink). These side chains form a complementary pair, and their properties are opposite: the lighter sulfur-containing side chain of cysteine is opposed to the side chain of tyrosine with 6-membered ring and a hydroxyl group. This pair is shown in the second column on the right.

 

Heavier than the cysteine ​​side chain of methionine (Met - blue circle) is connected by a diameter of a dodecahedron with phenylalanine (Phe - pink circle). In this complementary pair the heavier sulfur-containing methionine side chain is opposed to the side chain of phenylalanine, lighter than tyrosine, containing only six-membered ring. This pair is shown in the second column on the left.

 

The side chain of aspartic acid (Asp - yellow circle) is connected by diameter with lysine (a circle of purple color). The properties of this complementary pair: the lighter side chain of aspartic acid, which has acidic properties, is opposed to the longest side chain of lysine, possessing alkaline properties. This pair is shown in the third column on the right.

 

Heavier than aspartic, glutamic acid side chain (Glu - a circle of dark ocher color) is connected by diameter to arginine (the circle of light purple color), which is shorter than lysine, but also possessing alkaline properties. This pair is in the first column on the left.

 

Asparagine, which has a short side chain, is a neutral side chain forming hydrogen bonds (Asn - a circle of red and pink). It is connected by diameter of a dodecahedron with nonpolar side chain of isoleucine (Ile - a circle of light ocher color.) This pair is shown in the second column on the right.

 

Glutamine, heavier than asparagine, is also the neutral side chain, forming hydrogen bonds (Gln - a circle of dark red color) connected by diameter with more light than isoleucine, valine nonpolar side chain (Val - a circle of light yellow color). This complementary pair is shown in the second column at the left.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Thus, pairs of side chains of amino acids that are located at opposite vertices of the dodecahedron, connected by diameters, possess complementary properties. In pairs, shown on the right and left of the explanatory text, the properties of the side chains are mutually compensated: more light chains on the right oppose to more severe on the left, while similar in properties heavy chains on the left – to more light ones on the right.

 

For the further acquaintance with the antisymmetry of the amino acids which come to light by means of our model, pass in sections 4.2.1., 4.2.2., 4.2.3. or return to the  section 4.

 

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