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פותח על ידי קלירמאש פתרונות בע"מ -
Topological patterns in metazoan evolution and development
Year:
2006
Source of publication :
Bulletin of Mathematical Biology
Authors :
פרסנוב, יבגני
;
.
Volume :
68
Co-Authors:
Isaeva, V., Institute of Marine Biology, Far East Branch, Russian Academy of Sciences, Palchevskii St, 17, Vladivostok 690041, Russian Federation
Presnov, E., Gilat Experiment Station, Volcani Center, Mobile Post Negev 2, 85280, Israel
Chernyshev, A., Institute of Marine Biology, Far East Branch, Russian Academy of Sciences, Palchevskii St, 17, Vladivostok 690041, Russian Federation
Facilitators :
From page:
2053
To page:
2067
(
Total pages:
15
)
Abstract:
Topological patterns in the development and evolution of metazoa, from sponges to chordates, are considered by means of previously elaborated methodology, with the genus of the surface used as a topological invariant. By this means metazoan morphogenesis may be represented as topological modification(s) of the epithelial surfaces of an animal body. The animal body surface is an interface between an organism and its environment, and topological transformations of the body surface during metazoan development and evolution results in better distribution of flows to and from the external medium, regarded as the source of nutrients and oxygen and the sink of excreta, so ensuring greater metabolic intensity. In sponges and some Cnidaria, the increase of this genus up to high values and the shaping of topologically complicated fractal-like systems are evident. In most Bilateria, a stable topological pattern with a through digestive tube is formed, and the subsequent topological complications of other systems can also appear. The present paper provides a topological interpretation of some developmental events through the use of well-known mathematical concepts and theorems; the relationship between local and global orders in metazoan development, i.e., between local morphogenetic processes and integral developmental patterns, is established. Thus, this methodology reveals a "topological imperative": A certain set of topological rules that constrains and directs biological morphogenesis. © 2006 Springer Science+Business Media, Inc.
Note:
Related Files :
Animal
Animals
Chordata
Evolution
Growth, Development and Aging
invertebrate
Invertebrates
Porifera
sponge (Porifera)
עוד תגיות
תוכן קשור
More details
DOI :
10.1007/s11538-006-9063-2
Article number:
Affiliations:
Database:
סקופוס
Publication Type:
מאמר
;
.
Language:
אנגלית
Editors' remarks:
ID:
18926
Last updated date:
02/03/2022 17:27
Creation date:
16/04/2018 23:25
Scientific Publication
Topological patterns in metazoan evolution and development
68
Isaeva, V., Institute of Marine Biology, Far East Branch, Russian Academy of Sciences, Palchevskii St, 17, Vladivostok 690041, Russian Federation
Presnov, E., Gilat Experiment Station, Volcani Center, Mobile Post Negev 2, 85280, Israel
Chernyshev, A., Institute of Marine Biology, Far East Branch, Russian Academy of Sciences, Palchevskii St, 17, Vladivostok 690041, Russian Federation
Topological patterns in metazoan evolution and development
Topological patterns in the development and evolution of metazoa, from sponges to chordates, are considered by means of previously elaborated methodology, with the genus of the surface used as a topological invariant. By this means metazoan morphogenesis may be represented as topological modification(s) of the epithelial surfaces of an animal body. The animal body surface is an interface between an organism and its environment, and topological transformations of the body surface during metazoan development and evolution results in better distribution of flows to and from the external medium, regarded as the source of nutrients and oxygen and the sink of excreta, so ensuring greater metabolic intensity. In sponges and some Cnidaria, the increase of this genus up to high values and the shaping of topologically complicated fractal-like systems are evident. In most Bilateria, a stable topological pattern with a through digestive tube is formed, and the subsequent topological complications of other systems can also appear. The present paper provides a topological interpretation of some developmental events through the use of well-known mathematical concepts and theorems; the relationship between local and global orders in metazoan development, i.e., between local morphogenetic processes and integral developmental patterns, is established. Thus, this methodology reveals a "topological imperative": A certain set of topological rules that constrains and directs biological morphogenesis. © 2006 Springer Science+Business Media, Inc.
Scientific Publication
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