ArticleFrontiers in plant science2014
A unifying modeling of plant shoot gravitropism with an explicit account of the effects of growth.
Article in Frontiers in plant science, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 31 papers.
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Who cites it
31 citing papers in PubMed, 81 citations in OpenAlex.
- Article
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- Temperature Effect on Rhizome Development in Perennial rice.Rice (New York, N.Y.) · 2024Article
- On the mechanical origins of waving, coiling and skewing inProceedings of the National Academy of Sciences of the United States of America · 2024Article
- A quantitative model for spatio-temporal dynamics of root gravitropism.Journal of experimental botany · 2024Article
- Quantitative analysis of the root posture ofQuantitative plant biology · 2024Article
- Plants sum and subtract stimuli over different timescales.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- A digital sensor to measure real-time leaf movements and detect abiotic stress in plants.Plant physiology · 2021Article
- Plant Wearable Sensors Based on FBG Technology for Growth and Microclimate Monitoring.Sensors (Basel, Switzerland) · 2021Article
- Nutations in Plant Shoots: Endogenous and Exogenous Factors in the Presence of Mechanical Deformations.Frontiers in plant science · 2021Article
- Article
- An Integrative Model of Plant Gravitropism Linking Statoliths Position and Auxin Transport.Frontiers in plant science · 2021Article
- Spatio-temporal kinematic analysis of shoot gravitropism inPlant biotechnology (Tokyo, Japan) · 2020Article
- Multiscale integration of environmental stimuli in plant tropism produces complex behaviors.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- The dynamics of plant nutation.Scientific reports · 2020Article
- By hook or by crook: how and why do compound leaves stay curved during development?Journal of experimental botany · 2020Article
- A General 3D Model for Growth Dynamics of Sensory-Growth Systems: From Plants to Robotics.Frontiers in robotics and AI · 2020Article
- A mathematical model explores the contributions of bending and stretching forces to shoot gravitropism in Arabidopsis.Quantitative plant biology · 2020Article
- Revealing the hierarchy of processes and time-scales that control the tropic response of shoots to gravi-stimulations.Journal of experimental botany · 2019Article
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Gravitropism, the slow reorientation of plant growth in response to gravity, is a major determinant of the form and posture of land plants. Recently a universal model of shoot gravitropism, the AC model, was presented, in which the dynamics of the tropic movement is only determined by the conflicting controls of (1) graviception that tends to curve the plants toward the vertical, and (2) proprioception that tends to keep the stem straight. This model was found to be valid for many species and over two orders of magnitude of organ size. However, the motor of the movement, the elongation, was purposely neglected in the AC model. If growth effects are to be taken into account, it is necessary to consider the material derivative, i.e., the rate of change of curvature bound to expanding and convected organ elements. Here we show that it is possible to rewrite the material equation of curvature in a compact simplified form that directly expresses the curvature variation as a function of the median elongation and of the distribution of the differential growth. By using this extended model, called the ACĖ model, growth is found to have two main destabilizing effects on the tropic movement: (1) passive orientation drift, which occurs when a curved element elongates without differential growth, and (2) fixed curvature, when an element leaves the elongation zone and is no longer able to actively change its curvature. By comparing the AC and ACĖ models to experiments, these two effects are found to be negligible. Our results show that the simplified AC mode can be used to analyze gravitropism and posture control in actively elongating plant organs without significant information loss.
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