From sphere to torus: A topological view of the metazoan body plan

Jockusch H, Dress A (2003)
Bulletin of Mathematical Biology 65(1): 57-65.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
From the viewpoint of mathematical topology, membrane systems in intact living cells can be described as closed and orientable surfaces, i.e., as surfaces with two sides and no boundary lines so that an 'inside' and an 'outside' can be distinguished. Usually, biomembranes represent topological spheres, often one embedded in another one. Toroidal membranes are occasionally observed, e.g., in specialized structures of plant cells like the prolamellar body. Here, we propose that rules analogous to those that govern the topology of biomembranes hold for the epithelial cell sheets that cover anatomically external as well as internal surfaces of multicellular animals. We suggest to study the emergence of morphological complexity during metazoan development using concepts from mathematical topology, and propose experimental analyses of those topological transitions that appear to be relevant in development and evolution. (C) 2002 Society for Mathematical Biology. Published by Elsevier Science Ltd. All rights reserved.
Erscheinungsjahr
2003
Zeitschriftentitel
Bulletin of Mathematical Biology
Band
65
Ausgabe
1
Seite(n)
57-65
ISSN
0092-8240
Page URI
https://pub.uni-bielefeld.de/record/1612565

Zitieren

Jockusch H, Dress A. From sphere to torus: A topological view of the metazoan body plan. Bulletin of Mathematical Biology. 2003;65(1):57-65.
Jockusch, H., & Dress, A. (2003). From sphere to torus: A topological view of the metazoan body plan. Bulletin of Mathematical Biology, 65(1), 57-65. https://doi.org/10.1006/bulm.2002.0319
Jockusch, H., and Dress, A. (2003). From sphere to torus: A topological view of the metazoan body plan. Bulletin of Mathematical Biology 65, 57-65.
Jockusch, H., & Dress, A., 2003. From sphere to torus: A topological view of the metazoan body plan. Bulletin of Mathematical Biology, 65(1), p 57-65.
H. Jockusch and A. Dress, “From sphere to torus: A topological view of the metazoan body plan”, Bulletin of Mathematical Biology, vol. 65, 2003, pp. 57-65.
Jockusch, H., Dress, A.: From sphere to torus: A topological view of the metazoan body plan. Bulletin of Mathematical Biology. 65, 57-65 (2003).
Jockusch, Harald, and Dress, Andreas. “From sphere to torus: A topological view of the metazoan body plan”. Bulletin of Mathematical Biology 65.1 (2003): 57-65.

2 Zitationen in Europe PMC

Daten bereitgestellt von Europe PubMed Central.

Topological determination of early morphogenesis in Metazoa.
Presnov E, Isaeva V, Kasyanov N., Theory Biosci. 129(4), 2010
PMID: 20676941
Topological patterns in metazoan evolution and development.
Isaeva V, Presnov E, Chernyshev A., Bull. Math. Biol. 68(8), 2006
PMID: 16850353

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