Phyllotaxis, pushed pattern-forming fronts, and optimal packing

Matthew Pennybacker, Alan C Newell

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We demonstrate that the pattern forming partial differential equation derived from the auxin distribution model proposed by Meyerowitz, Traas, and others gives rise to all spiral phyllotaxis properties observed on plants. We show how the advancing pushed pattern front chooses spiral families enumerated by Fibonacci sequences with all attendant self-similar properties, a new amplitude invariant curve, and connect the results with the optimal packing based algorithms previously used to explain phyllotaxis. Our results allow us to make experimentally testable predictions.

Original languageEnglish (US)
Article number248104
JournalPhysical Review Letters
Volume110
Issue number24
DOIs
Publication statusPublished - Jun 13 2013

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Medicine(all)

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