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[Topology of cleavage in light of the Pierre Curie principle].

Authors: N A, Zarenkov;

[Topology of cleavage in light of the Pierre Curie principle].

Abstract

The stages of radial, spiral, and bilateral cleavage, including blastula, are considered as polyhedrons and projections of polyhedrons onto a plane: Wenn, Schlegel, and Euler projections. The blastula spatial organization is characterized by face numerals and Euler characteristics, as well by symmetry groups. The classes of equivalence of polyhedrons have been considered: duality and eqicomposition. The correspondence between different types of cleavage has been established by shift transformation on Schlegel projections and turn on a spherical noneuclidean surface. Determination of the prospective significance of blastomeres during cleavage was compared with the dichotomous division of the general notion in logic. This in view, the Wenn diagram of four figures has been reflected onto the sphere surface. Blastula faceting is interpreted as a reflection of hereditary information about the prospective significance of blastomeres onto a spherical surface. Topologically, the reflection represents a transformation of the linear orderliness of information contained in the genome into a two-dimensional orderliness of prospective properties on the blastula noneuclidean surface. Therefore, the elements of blastula symmetry can be considered as self in the sense of Pierre Curie principle.

Keywords

Blastocyst, Cleavage Stage, Ovum, Embryonic Development, Models, Biological

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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