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On the mystery of the golden angle in phyllotaxis
KING, S. ; BECK, F. ; LÜTTGE, U.
Plant, cell and environment, 2004-06, Vol.27 (6), p.685-695
[Periódico revisado por pares]
Oxford, UK: Blackwell Science Ltd
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Título:
On the mystery of the golden angle in phyllotaxis
Autor:
KING, S.
;
BECK, F.
;
LÜTTGE, U.
Assuntos:
Biological and medical sciences
;
Fundamental and applied biological sciences. Psychology
;
golden angle
;
leaf canopy
;
light capture
;
number theory
;
optimization
;
phyllotaxis
;
Plant growth. Development of the storage organs
;
Plant physiology and development
;
Schimper–Braun series
;
Vegetative apparatus, growth and morphogenesis. Senescence
É parte de:
Plant, cell and environment, 2004-06, Vol.27 (6), p.685-695
Descrição:
ABSTRACT Phyllotaxis, the arrangement of leaves around a stem, shows in the vast majority of cases a regularity in the divergence angle of subsequent leaves which divide the whole circle into regular fractions. These are in most cases rational fractions of two Fibonacci numbers in an alternating series, converging towards the irrational limit of the golden section, corresponding to the golden divergence angle of 137.5 . . . degrees. This peculiarity was a long‐standing mystery. Here, it is related to the evolutionary pressure of optimal light capture for maximal photosynthetic activity. A model is established which relates minimal shadowing for the lower leaves to the divergence angle. Numerical results of this model agree well with semi‐empirical data on the dependence of light capture from the divergence angle. The basic shadow function of the model is also related with the demand of minimal shadowing for the angular separation of leaves and obtain, using elementary number theory, as solution the golden section. Further numerical studies show that the rational approach to the golden section (Schimper–Braun series) is related to the leaf width and the number of leaves of the plant.
Editor:
Oxford, UK: Blackwell Science Ltd
Idioma:
Inglês
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