Abstract
The mechanism for leaf position determination by the diffusion of an inhibitor has been studied in relation to the geometry of leaf positions. A computer model has been constructed for the inhibitor-diffusion process on a cellular cylindrical surface. The behavior of the model has been analyzed mathematically. The main results are: (a) that our model generates most of the phyllotactic patterns observed in nature; and (b) that restraints have been found for permissible values of diffusion rates and decay rates of the hypothetical inhibitor.
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Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Adler I. A model of contact pressure in phyllotaxis. J Theor Biol. 1974 May;45(1):1–79. doi: 10.1016/0022-5193(74)90043-5. [DOI] [PubMed] [Google Scholar]
- Erickson R. O. Tubular packing of spheres in biological fine structure. Science. 1973 Aug 24;181(4101):705–716. doi: 10.1126/science.181.4101.705. [DOI] [PubMed] [Google Scholar]
- Lindenmayer A. Developmental systems without cellular interactions, their languages and grammars. J Theor Biol. 1971 Mar;30(3):455–484. doi: 10.1016/0022-5193(71)90002-6. [DOI] [PubMed] [Google Scholar]
- Lindenmayer A. Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs. J Theor Biol. 1968 Mar;18(3):280–299. doi: 10.1016/0022-5193(68)90079-9. [DOI] [PubMed] [Google Scholar]
- Mitchison G. J. Phyllotaxis and the fibonacci series. Science. 1977 Apr 15;196(4287):270–275. doi: 10.1126/science.196.4287.270. [DOI] [PubMed] [Google Scholar]