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. |
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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. |
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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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