The Structure, Topological, and Functional Dimension of Biomolecules

The Structure, Topological, and Functional Dimension of Biomolecules

Gennadiy Vladimirovich Zhizhin
DOI: 10.4018/IJCCE.2016070104
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It determines the dimension of biomolecules that are critical to the functioning of living organisms: carbohydrates, proteins, nucleic acids. It is proved that they have a higher dimension. New image presents the structure of biomolecules, appropriate to their higher dimension, and given an explanation of the observed properties of biomolecules in view of their higher dimension. It is proved that the highest dimension of biomolecules based on the hybridization of atomic orbitals chiral centers (binding sites). It was found that the highest dimension of biomolecules is a consequence of the high energy enclosed in them, necessary for the execution of complex functions in living organisms.
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Higher Dimension Of Polyatomic Molecules As A Result Of The Interaction Of The Electron Orbitals Of Atoms In A Molecule

The most common in biomolecules is a carbon atom, the main role of which to be binding in the center of biomolecules. Consider, for example, ethane molecule CH4. The carbon atom in this molecule binds around four hydrogen atoms. Geometrically, this molecule is a tetrahedron, whose vertices are located of the hydrogen atoms, and in the center is carbon atom. In (Zhizhin G. V., 2015; Zhizhin & Diudea, 2016) it is shown that the dimension of the molecules having the form of a tetrahedron with the center equals 4. Indeed, by calculating the number of vertices, edges, faces and three-dimensional plane in the figure, i.e.IJCCE.2016070104.m01, where i is the dimension of the edge, 0 ≤ i ≤ 3, we find that IJCCE.2016070104.m02, IJCCE.2016070104.m03=10, IJCCE.2016070104.m04= 10, IJCCE.2016070104.m05= 5. Substituting these values into the Euler equation (Grunbaum, 1967; Zhizhin G.V, 2014), which determines the relationship between these values of polyhedron in any dimension n (polytopes)

(1) we see that the equation (1) is satisfied for n = 4, i.e. the dimension of the molecule in the form of a tetrahedron with the center is 4.

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