Geometry Model of Spiral-cyclical Self-organization of Morphofunctional Modules With Two-dimensional Transfer Channels

I. A. Shchepetkin, M. A. Sergejev

Research output: Contribution to journalArticle

Abstract

The general model of spiral-cyclic self-organization of morphofunctional modules has been studied with the help of elliptic Riemannian geometry. Depending on the level of hierarchy cells, groups of cells, macromolecules or subcellular components can function as separate biological units. The hierarchically coordinated morphofunctional modules of biological pattern with two-dimensional (2D) channels of morphogenes transfer are formed in the process of geometric transformation. The width of 2D channel is regulated by module parameters, whereas the direction of transport is controlled by vector of module electrostatic field. The disturbance of morphogenesis in the model is regarded as a change of reciprocal hierarchically coordinated arrangement of morphofunctional modules that causes branching of 2D channels without general power- and mass transfer. The model can be used for constructing concrete analogies of self-organization of morphofunctional modules in ontoand phylogenesis.

Original languageEnglish
Pages (from-to)250-252
Number of pages3
JournalZhurnal Obshchei Biologii
Volume62
Issue number3
Publication statusPublished - 2001
Externally publishedYes

Fingerprint

Phylogeny
Static Electricity
Morphogenesis
mass transfer
morphogenesis
branching
cells
phylogeny
geometry
Direction compound

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Geometry Model of Spiral-cyclical Self-organization of Morphofunctional Modules With Two-dimensional Transfer Channels. / Shchepetkin, I. A.; Sergejev, M. A.

In: Zhurnal Obshchei Biologii, Vol. 62, No. 3, 2001, p. 250-252.

Research output: Contribution to journalArticle

@article{ade88807726342f6b41cb3679232f33d,
title = "Geometry Model of Spiral-cyclical Self-organization of Morphofunctional Modules With Two-dimensional Transfer Channels",
abstract = "The general model of spiral-cyclic self-organization of morphofunctional modules has been studied with the help of elliptic Riemannian geometry. Depending on the level of hierarchy cells, groups of cells, macromolecules or subcellular components can function as separate biological units. The hierarchically coordinated morphofunctional modules of biological pattern with two-dimensional (2D) channels of morphogenes transfer are formed in the process of geometric transformation. The width of 2D channel is regulated by module parameters, whereas the direction of transport is controlled by vector of module electrostatic field. The disturbance of morphogenesis in the model is regarded as a change of reciprocal hierarchically coordinated arrangement of morphofunctional modules that causes branching of 2D channels without general power- and mass transfer. The model can be used for constructing concrete analogies of self-organization of morphofunctional modules in ontoand phylogenesis.",
author = "Shchepetkin, {I. A.} and Sergejev, {M. A.}",
year = "2001",
language = "English",
volume = "62",
pages = "250--252",
journal = "Zhurnal Obshchei Biologii",
issn = "0044-4596",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

TY - JOUR

T1 - Geometry Model of Spiral-cyclical Self-organization of Morphofunctional Modules With Two-dimensional Transfer Channels

AU - Shchepetkin, I. A.

AU - Sergejev, M. A.

PY - 2001

Y1 - 2001

N2 - The general model of spiral-cyclic self-organization of morphofunctional modules has been studied with the help of elliptic Riemannian geometry. Depending on the level of hierarchy cells, groups of cells, macromolecules or subcellular components can function as separate biological units. The hierarchically coordinated morphofunctional modules of biological pattern with two-dimensional (2D) channels of morphogenes transfer are formed in the process of geometric transformation. The width of 2D channel is regulated by module parameters, whereas the direction of transport is controlled by vector of module electrostatic field. The disturbance of morphogenesis in the model is regarded as a change of reciprocal hierarchically coordinated arrangement of morphofunctional modules that causes branching of 2D channels without general power- and mass transfer. The model can be used for constructing concrete analogies of self-organization of morphofunctional modules in ontoand phylogenesis.

AB - The general model of spiral-cyclic self-organization of morphofunctional modules has been studied with the help of elliptic Riemannian geometry. Depending on the level of hierarchy cells, groups of cells, macromolecules or subcellular components can function as separate biological units. The hierarchically coordinated morphofunctional modules of biological pattern with two-dimensional (2D) channels of morphogenes transfer are formed in the process of geometric transformation. The width of 2D channel is regulated by module parameters, whereas the direction of transport is controlled by vector of module electrostatic field. The disturbance of morphogenesis in the model is regarded as a change of reciprocal hierarchically coordinated arrangement of morphofunctional modules that causes branching of 2D channels without general power- and mass transfer. The model can be used for constructing concrete analogies of self-organization of morphofunctional modules in ontoand phylogenesis.

UR - http://www.scopus.com/inward/record.url?scp=0042691226&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042691226&partnerID=8YFLogxK

M3 - Article

VL - 62

SP - 250

EP - 252

JO - Zhurnal Obshchei Biologii

JF - Zhurnal Obshchei Biologii

SN - 0044-4596

IS - 3

ER -