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Contact pressure models for spiral phyllotaxis and their computer simulation

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2006

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Hellwig, Heino
Engelmann, Ralph

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https://doi.org/10.1016/j.jtbi.2005.10.008
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Journal of Theoretical Biology. 2006, 240(3), pp. 489-500. ISSN 0022-5193. eISSN 1095-8541. Available under: doi: 10.1016/j.jtbi.2005.10.008

Zusammenfassung

We present a simple, biologically motivated model for the creation of phyllotactical patterns in capitula and their computer simulation. An in-depth investigation of Ridley's contact pressure model is performed and a refinement of contact pressure between primordia on the basis of local centroidal Voronoi relaxation is presented. Using this method in combination with Hofmeisters rule for placing new primordia creates stable patterns with Fibonacci spirals of high degree for a large range of initial conditions.

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ISO 690DEUSSEN, Oliver, Heino HELLWIG, Ralph ENGELMANN, 2006. Contact pressure models for spiral phyllotaxis and their computer simulation. In: Journal of Theoretical Biology. 2006, 240(3), pp. 489-500. ISSN 0022-5193. eISSN 1095-8541. Available under: doi: 10.1016/j.jtbi.2005.10.008
BibTex
@article{Deussen2006Conta-39892,
  year={2006},
  doi={10.1016/j.jtbi.2005.10.008},
  title={Contact pressure models for spiral phyllotaxis and their computer simulation},
  number={3},
  volume={240},
  issn={0022-5193},
  journal={Journal of Theoretical Biology},
  pages={489--500},
  author={Deussen, Oliver and Hellwig, Heino and Engelmann, Ralph}
}
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