Fibonacci Sequence and Supramolecular Structure of DNA

Abstract

We proposed a new model of supramolecular DNA structure. Similar to the previously developed by us model of primary DNA structure [11-15], 3D structure of DNA molecule is assembled in accordance to a mathematic rule known as Fibonacci sequence. Unlike primary DNA structure, supramolecular 3D structure is assembled from complex moieties including a regular tetrahedron and a regular octahedron consisting of monomers, elements of the primary DNA structure. The moieties of the supramolecular DNA structure forming fragments of regular spatial lattice are bound via linker (joint) sequences of the DNA chain. The lattice perceives and transmits information signals over a considerable distance without acoustic aberrations. Linker sequences expand conformational space between lattice segments allowing their sliding relative to each other under the action of external forces. In this case, sliding is provided by stretching of the stacked linker sequences.

Reparation as a Factor Contributing to Genetic Variability of the Biological System

“…This wavy pattern is probably related to the phenomenon of DNA synthesis discontinuity in the eukaryotic cells [7][8][9][10][11][12][13]. The fact that PLM was minimum from 38 to 94 h (this parameter did not exceed 10% on average) attests to a beginning of a new wave of PLM related to S phase of the second mitotic cycle.…”

“…Parameters of the mitotic cycle were evaluated graphically by the percent of true labeled mitoses (PLM) of the total number of mitoses [8,11].…”

“…Thus, energy expenditure to DNA uncoiling in different regions will vary. γ-Irradiation during the S phase of the mitotic cycle changes the duration of each period of S phase at the expense of the time of reparation [11][12][13].…”

Beyond the 21-cm Notch-to-nipple Myth: Golden Proportions in Breast Aesthetics

“…The Fibonacci series, the Fibonacci spiral, the phi ratio, "the golden ratio," "the golden angle," or "the golden section" are all closely related concepts that have been extensively studied in art, biochemistry, biology, botany, anatomy, and architecture over time. [1][2][3][4][5] The concept is ancient and has captured the imagination of mathematicians, scientists, and artists alike for centuries. It was first published by mathematician Fibonacci in 1202.…”