The Golden Section and beauty in nature: The perfection of symmetry and the charm of asymmetry

U Lüttge, GM Souza - Progress in biophysics and molecular biology, 2019 - Elsevier
It is not unanimous among scientists if there is beauty in science. Some deny it. Mental
clarity of conclusions when captured in simple looking equations is mathematical beauty …

[BOOK][B] Phyllotactic patterns: a multidisciplinary approach

D Barabé, CR Lacroix - 2020 - books.google.com
The book provides a current review of the field of phyllotaxis from a variety of perspectives,
that is, morphological, developmental, biochemical, molecular genetics, biophysical, and …

On the mystery of the golden angle in phyllotaxis

S King, F Beck, U Lüttge - Plant, Cell & Environment, 2004 - Wiley Online Library
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 …

Phyllotaxis transition over the lifespan of a palm tree using Magnetic Resonance Imaging (MRI) and Terrestrial Laser Scanning (TLS): the case of Jubaea chilensis

E Guzmán, MP Fernández, JA Alcalde, S Contreras… - Plant Methods, 2022 - Springer
Abstract Background Jubaea chilensis (Molina) Baillon, is a uniquely large palm species
endemic to Chile. It is under threatened status despite its use as an ornamental species …

Application of two mathematical models to the Araceae, a family of plants with enigmatic phyllotaxis

RV Jean, D Barabé - Annals of Botany, 2001 - Elsevier
In this paper we show that two mathematical models can be of great help in the analysis of
observational data, in this case the difficult and little studied phyllotactic phenomena that …

[PDF][PDF] On the origin of pattern and form in early Metazoans

FW Cummings - The International journal of developmental …, 2006 - researchgate.net
ABSTRACT The 'Cambrian explosion', about 540 million years ago, may have occurred
within 10 to 50 million years. Almost all of the modern phyla, a very restricted group and …

Noise or random fluctuations in physical systems: a review

AM Selvam, AM Selvam - Self-organized Criticality and Predictability in …, 2017 - Springer
Abstract 'Noise'or random fluctuations characterize all physical systems in nature ranging
from biology, botany, physiology, meteorology, astronomy, etc. The apparently irregular or …

A model of pattern formation based on signaling pathways

FW Cummings - Journal of theoretical biology, 2000 - Elsevier
A model of pattern formation in the early embryo is presented. It is motivated by the
necessary interaction of kinases and phosphatases, and in particular by the family of Wnt …

A model of morphogenesis

FW Cummings - Physica A: Statistical Mechanics and its Applications, 2004 - Elsevier
A new model is presented of a patterning mechanism in animals. It is argued that the
'Wnt'signaling pathway often acts in binary conjunction with a variety of other pathways to …

Stochastic approaches in phyllotaxis

D Barabe - Botany, 2006 - cdnsciencepub.com
Theoretical models of phyllotaxis are based on geometric regularities appearing at the level
of the shoot apical meristem (SAM). However, one cannot forget the presence of perturbed …