Regular ArticlePhyllotaxis as a Dynamical Self Organizing Process Part III: The Simulation of the Transient Regimes of Ontogeny
References (0)
Cited by (82)
Modeling phyllotaxis: From the inhibition potential to the real plant
2022, Journal of Theoretical BiologyCitation Excerpt :Later, Snow and Snow (1952) generalized this approach by removing the imposed periodicity of the process and assuming that a new primordium simply forms at the periphery of the apex where and when there is enough space for its formation. It was not until the end of the 20th century that Douady and Couder (1996a,b) developed the “standard model” of phyllotaxis. The standard theory models an inhibition field produced by young primordia that prevents the formation of new primordia as long as the intensity of the inhibition potential is high enough.
Two-step mechanism of spiral phyllotaxis
2021, Journal of Theoretical BiologyConvergence in a disk stacking model on the cylinder
2020, Physica D: Nonlinear PhenomenaCitation Excerpt :Careful measurements in Arabidopsis thaliana have also shown that the divergence angle may switch from the Golden Angle to multiples of it. This can also be simply explained by permutations of the vertical order of the elements [24,25]. The last authors have proposed a stochastic model to account for this phenomenon [26].
Phyllotaxis: Some progress, but a story far from over
2015, Physica D: Nonlinear PhenomenaCitation Excerpt :The botanist Wilhelm Hofmeister published one of the earliest studies of meristems [13] and, from his careful observations, proposed the rules which we have listed in Section 1.1. From these rules, and modifications thereof of Snow and Snow [15,16] so as to allow for whorls as well as Fibonacci spirals, Douady and Couder carried out a series of numerical simulations reported in [14,20,21]. These dynamical algorithms demonstrate that a simple principle based on Hofmeister’s rule can generate phyllotactic patterns.
Fibonacci spirals may not need the Golden Angle
2022, Quantitative Plant Biology