Polytopes of the Highest Dimension in the Theory of Heredity

Polytopes of the Highest Dimension in the Theory of Heredity

DOI: 10.4018/978-1-7998-8374-6.ch011
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Abstract

On the basis of images of higher dimension of nucleic acids, the properties of the interaction of nucleic acids with each other have been studied. It was found that the region of interaction of nucleic acids is a cross-polytope of dimension 13 (the polytope of genetical information). Its structure indicates that the interaction of nucleic acids has a hidden order, according to which the number of standard amino acids exactly corresponds to the number of possible locations of nitrogenous bases in the polytope of hereditary information. This leads to the absence of the need to introduce the concept of the genetic code. It has been shown that DNA methylation leads to a significant increase in DNA informational activity, which makes it possible to resist a viral infection.
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Introduction

In the forties of the twentieth century, primarily on the basis of the cytological and biochemical observations of Casperson (1941) and Brachet (1941, 1942), the idea began to take shape that DNA localized in the nuclei of cells, in their chromosomes, is closely connected with the apparatus of heredity, and RNA - an essential component of the cellular cytoplasm, responsible for protein synthesis. Deoxyribonucleic acid (DNA), as a chemical substance, it was isolated by Johann Friedrich Micher in 1869 from the remains of cells contained in the pus. He singled out a substance that includes nitrogen and phosphorus. When Misher determined that this substance has acid properties, the substance was called nucleic acid (Dahm, 2005). Gradually it was proved that it was DNA, and not proteins, as previously thought, and which is the carrier of genetic information. One of the first decisive proofs was the experiments of Oswald Avery, Colin MacLeod and McLean McCarthy (1944) on the transformation of bacteria.

The structure of the double helix DNA it was proposed by Francis Crick and James Watson in 1953 on the base of the X-ray structural data obtained by Maurice Wilkins and Rosalind Franklin and the “Chargaff rules” according to which in each DNA molecule the strict relationships connecting the quantity of nitrogenous bases of different (Watson, & Crick, 1953a, b). For outstanding contributions to this discovery, Francis Crick, James Watson and Maurice Wilkins were awarded the 1962 Nobel Prize in Physiology or Medicine. Deoxyribonucleic acid (DNA) is a biopolymer, the monomer of which is the nucleotide (Albert, et al., 2002; Butler, 2005). Each nucleotide consists of a phosphoric acid residue attached to sugar deoxyribose, to which one of the four nitrogen bases is attached also. The bases that make up the nucleotides are divided into two groups: purines (adenine [A] and guanine [G]) and pyrimidines (cytosine [C] and thymine [T]) are formed by combined five - and six - membered heterocycles.

They managed to show that the DNA isolated from the pneumococci corresponds to the so-called transformation (the acquisition of pathogenic properties by a harmless culture as result of the addition of dead pathogenic bacteria to it). The experiment of American scientists Alfred Hershey and Martha Chase (Hershey - Chase experiment, 1952) with radioactively labeled proteins and bacteriophage DNA showed that only the phage nucleic acid is transmitted to the infected cell, and the new generation of phage contains the same proteins and nucleic acid, as the initial phage (Hershey & Chase, 1952). Deciphering the structure of DNA (1953) has become one of the turning points in the history of biology.

Key Terms in this Chapter

Dimension of the Space: The member of independent parameters needed to describe the change in position of an object in the space.

Incidence Coefficients of Elements of Lower Dimension With Respect to Elements of Higher Dimension: The number of elements of a certain higher dimension to which the given element of a lower dimension belongs.

Polytope: The polyhedron in the space of the higher dimension.

N–Cross-Polytope: The convex polytope of dimension n in which opposite related of centrum edges not have connection of edge.

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