ArticlePLoS computational biology2012
Noise and robustness in phyllotaxis.
Article in PLoS computational biology, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 37 papers.
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37 citing papers in PubMed, 66 citations in OpenAlex.
- Stochastic gene expression in auxin signaling in the floral meristem of Arabidopsis thaliana.Nature communications · 2025Article
- Spiral phyllotaxis predicts left-right asymmetric growth and style deflection in mirror-image flowers of Cyanella alba.Nature communications · 2025Article
- Regulation of tissue growth in plants - A mathematical modeling study on shade avoidance response inFrontiers in plant science · 2024Article
- A new mathematical model of phyllotaxis to solve the genuine puzzle spiromonostichy.Journal of plant research · 2024Article
- Tapping into the plasticity of plant architecture for increased stress resilience.F1000Research · 2023Review
- Computational Models of Auxin-Driven Patterning in Shoots.Cold Spring Harbor perspectives in biology · 2022Review
- Fifteen compelling open questions in plant cell biology.The Plant cell · 2022Review
- Fibonacci spirals may not need the Golden Angle.Quantitative plant biology · 2022Article
- Discovery of spatial pattern of prickles on stem of Rosa hybrida 'Red Queen' and mathematical model of the pattern.Scientific reports · 2021Article
- What shoots can teach about theories of plant form.Nature plants · 2021Review
- Developmental stochasticity and variation in floral phyllotaxis.Journal of plant research · 2021Review
- Symmetry and its transition in phyllotaxis.Journal of plant research · 2021Review
- Phyllotaxis: from classical knowledge to molecular genetics.Journal of plant research · 2021Review
- Phyllotactic patterning of gerbera flower heads.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Recurrent requirement for the mDevelopment (Cambridge, England) · 2020Article
- Mathematical model studies of the comprehensive generation of major and minor phyllotactic patterns in plants with a predominant focus on orixate phyllotaxis.PLoS computational biology · 2019Article
- Spiral phyllotaxis underlies constrained variation in Anemone (Ranunculaceae) tepal arrangement.Journal of plant research · 2018Article
- Phyllotactic regularity requires the Paf1 complex inDevelopment (Cambridge, England) · 2017Article
- Understanding the unique flowering sequence in Dipsacus fullonum: Evidence from geometrical changes during head development.PloS one · 2017Article
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Authors and funding
4 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A striking feature of vascular plants is the regular arrangement of lateral organs on the stem, known as phyllotaxis. The most common phyllotactic patterns can be described using spirals, numbers from the Fibonacci sequence and the golden angle. This rich mathematical structure, along with the experimental reproduction of phyllotactic spirals in physical systems, has led to a view of phyllotaxis focusing on regularity. However all organisms are affected by natural stochastic variability, raising questions about the effect of this variability on phyllotaxis and the achievement of such regular patterns. Here we address these questions theoretically using a dynamical system of interacting sources of inhibitory field. Previous work has shown that phyllotaxis can emerge deterministically from the self-organization of such sources and that inhibition is primarily mediated by the depletion of the plant hormone auxin through polarized transport. We incorporated stochasticity in the model and found three main classes of defects in spiral phyllotaxis--the reversal of the handedness of spirals, the concomitant initiation of organs and the occurrence of distichous angles--and we investigated whether a secondary inhibitory field filters out defects. Our results are consistent with available experimental data and yield a prediction of the main source of stochasticity during organogenesis. Our model can be related to cellular parameters and thus provides a framework for the analysis of phyllotactic mutants at both cellular and tissular levels. We propose that secondary fields associated with organogenesis, such as other biochemical signals or mechanical forces, are important for the robustness of phyllotaxis. More generally, our work sheds light on how a target pattern can be achieved within a noisy background.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.