Phyllotactic patterns: A biophysical mechanism for their origin

Annals of Botany

Volumn 77, Issue 5, 1996, Pages 515-528

  Green, P B ^a   Steele, C S ^b   Rennich, S C ^c  

^a STANFORD UNIVERSITY   (United States)

^b NONE   (United States)

^c NONE   (United States)

Author keywords

biophysics; buckling; corpus; morphogenesis; patterning; Phyllotaxis; shoot apex; tunica

Indexed keywords

EID: 0029738134     PISSN: 03057364     EISSN: None     Source Type: Journal    
DOI: 10.1006/anbo.1996.0062     Document Type: Article

References (24)

1. Chen G, Zhou J. 1993. Vibration and damping in distributed systems. Boca Raton, Florida: Chemical Rubber Press.
2. Dillon R, Maine PK, Othmer HG. 1994. Pattern formation in generalized Turing Systems. Journal of Mathematical Biology 32: 345-393.
3. Douady S, Couder Y. 1996. Phyllotaxis as a dynamical self-organizing process. Part II The spontaneous formation of a periodicity and the coexistence of spiral and whorled patterns. Journal of Theoretical Biology (in press).
4. Erickson RO. 1983. The geometry of phyllotaxis. In . Dale JE, Milthorpe FL, eds. The growth and functioning of leaves. Cambridge, UK: Cambridge University Press.
5. Esau K. 1953. Plant anatomy. New York: John Wiley & Sons.
6. Goodwin BC. 1994. Generative explanations of plant form. In: Ingram DS, Hudson A, eds. Shape and form in plants and fungi. London: The Linnean Society of London, 3-16.
7. Green PB. 1992. Pattern formation in shoots: a likely role for minimum energy configurations of the tunica. International Journal of Plant Science 153: S59-S75 (supplement).
8. Harrison LG. 1993. Kinetic theory of living pattern. Cambridge, UK: Cambridge University Press.
9. Held LI. 1992. Models for embryonic periodicity. New York: Karger Press.
10. Hernández LF, Green PB. 1993. Transductions for the expression of structural pattern: analysis in sunflower. Plant Cell 5: 1725-1738.
11. Hernández LF, Havelange A, Bernier G, Green PB. 1991. Growth behavior of single epidermal cells during flower formation: sequential scanning electron micrographs provide kinematic patterns for Anagallis. Planta 185: 139-147.
12. Hernández LF, Palmer JH. 1988. Regeneration of the sunflower capitulum after cylindrical wounding of the receptacle. American Journal of Botany 75: 1253-1261.
13. Jean RV. 1994. Phyllotaxis. A systemic study in plant morphogenesis. Cambridge, UK: Cambridge University Press.
14. Laskowski MJ, Williams ME, Nusbaum HC, Sussex IM. 1995. Formation of lateral root meristems is a two-stage process Development 121: 3303-3310.
15. Liu C-M, Xu Z-H, Chua N-H. 1993. Auxin polar transport is essential for the establishment of bilateral symmetry during early plant embryogenesis. Plant Cell 5: 621-630.
16. Lyndon RF. 1990. Plant development. The cellular basis. London. Unwin Hyman.
17. Oster G, Murray JD, Harris AK. 1983. Mechanical aspects of mesenchymal morphogenesis. Journal of Embryology and Experimental Morphogenesis 78: 83-125.
18. Rennich SC, Green PB. 1996. The mathematics of plate bending. In: Alt W, Deutsch A, Dunn G, eds. Dynamics of cell and tissue motion Basel: Birkäuser Verlag (in press).
19. Sachs TS. 1991. Pattern formation in plant tissues. Cambridge, UK: Cambridge University Press.
20. Schüepp O. 1916. Beiträge zur Theorie des Vegetationspunktes. Berichte der Deutschen Botanishen Gesellschaft 34: 847-857.
21. Soedel, V. 1993. Vibrations of shells and plates. 2nd Edn New York: Marcel Dekker.
22. Steeves TA, Sussex IM. 1989. Patterns in plant development Cambridge, UK: Cambridge University Press.
23. Szymkowiak EJ, Sussex IM. 1992. The internal meristem layer (L3) determines floral meristem size and carpel number in tomato periclinal chimeras. Plant Cell 4: 1089-1100.
24. Yotsumoto D. 1993. A diffusion model for phyllotaxis. Journal of Theoretical Biology 162: 131-151.