doi: 10.1103/PhysRevLett.110.248104. Epub 2013 Jun 13.
Phyllotaxis, pushed pattern-forming fronts, and optimal packing
Affiliations
- PMID:25165965
- DOI: 10.1103/PhysRevLett.110.248104
Item in Clipboard
Phyllotaxis, pushed pattern-forming fronts, and optimal packing
Matthew Pennybacker et al. Phys Rev Lett..
Display options
Format
Display options
Format
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.
Similar articles
- A mathematical basis for plant patterning derived from physico-chemical phenomena.Beleyur T, Abdul Kareem VK, Shaji A, Prasad K.Beleyur T, et al.Bioessays. 2013 Apr;35(4):366-76. doi: 10.1002/bies.201200126. Epub 2013 Feb 6.Bioessays. 2013.PMID:23386477Review.
- Phyllotaxis: A Matthew Effect in Auxin Action.Weijers D.Weijers D.Curr Biol. 2016 Dec 5;26(23):R1233-R1235. doi: 10.1016/j.cub.2016.10.019.Curr Biol. 2016.PMID:27923132
- Mathematical study for the mechanism of vascular and spot patterns by auxin and pin dynamics in plant development.Hayakawa Y, Tachikawa M, Mochizuki A.Hayakawa Y, et al.J Theor Biol. 2015 Jan 21;365:12-22. doi: 10.1016/j.jtbi.2014.09.039. Epub 2014 Oct 7.J Theor Biol. 2015.PMID:25303888
- Auxin and phyllotaxis.Kuhlemeier C, Reinhardt D.Kuhlemeier C, et al.Trends Plant Sci. 2001 May;6(5):187-9. doi: 10.1016/s1360-1385(01)01894-5.Trends Plant Sci. 2001.PMID:11335153
- Computer models of auxin transport: a review and commentary.Kramer EM.Kramer EM.J Exp Bot. 2008;59(1):45-53. doi: 10.1093/jxb/erm060. Epub 2007 Apr 12.J Exp Bot. 2008.PMID:17431022Review.
Cited by
- Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings.Bormashenko E, Legchenkova I, Frenkel M, Shvalb N, Shoval S.Bormashenko E, et al.Entropy (Basel). 2023 Jan 2;25(1):92. doi: 10.3390/e25010092.Entropy (Basel). 2023.PMID:36673233Free PMC article.
- Phyllotactic patterning of gerbera flower heads.Zhang T, Cieslak M, Owens A, Wang F, Broholm SK, Teeri TH, Elomaa P, Prusinkiewicz P.Zhang T, et al.Proc Natl Acad Sci U S A. 2021 Mar 30;118(13):e2016304118. doi: 10.1073/pnas.2016304118.Proc Natl Acad Sci U S A. 2021.PMID:33771923Free PMC article.
- Chiral spiral cyclic twins. II. A two-parameter family of cyclic twins composed of discrete circle involute spirals.Hornfeck W.Hornfeck W.Acta Crystallogr A Found Adv. 2023 Nov 1;79(Pt 6):570-586. doi: 10.1107/S2053273323008276. Epub 2023 Oct 31.Acta Crystallogr A Found Adv. 2023.PMID:37905580Free PMC article.
- Curvature-driven spatial patterns in growing 3D domains: A mechanochemical model for phyllotaxis.Rueda-Contreras MD, Romero-Arias JR, Aragón JL, Barrio RA.Rueda-Contreras MD, et al.PLoS One. 2018 Aug 16;13(8):e0201746. doi: 10.1371/journal.pone.0201746. eCollection 2018.PLoS One. 2018.PMID:30114231Free PMC article.
Publication types
MeSH terms
Substances
Related information
LinkOut - more resources
Full Text Sources
Other Literature Sources