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 language | English |
|---|---|
| Pages (from-to) | 250-252 |
| Number of pages | 3 |
| Journal | Zhurnal Obshchei Biologii |
| Volume | 62 |
| Issue number | 3 |
| Publication status | Published - 2001 |
| Externally published | Yes |
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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 journal › Article
}
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.
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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 -