Comptes Rendus
Measuring local and global vibration modes in model plants
Comptes Rendus. Mécanique, Volume 342 (2014) no. 1, pp. 1-7.

Model plants are extensively used in biological studies, and their mechanical behaviour needs to be better understood, in relation to studies in mechanoperception for instance. We present here the first approach to derive experimentally the modal parameters of two of these plants, Arabidopsis thaliana and Populus tremula × alba. A classical sinusoidal sweep excitation is used, with a measurement of displacements based on LKT optical flow tracking, followed by a bi-orthogonal decomposition (BOD). This allows us to estimate several modal frequencies for each plant, as well as the corresponding spatial localizations of deformation. Analyzing the modal frequencies, we show that global and local modes correspond to distinct ranges of frequencies and depend differently on plant size. Possible phenotyping applications are then discussed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2013.10.010
Keywords: Vibration, Modes, Biomechanics, Image Correlation, Plants, Arabidopsis, Populus, BOD, LKT

Christelle Der Loughian 1, 2 ; Loïc Tadrist 1 ; Jean-Marc Allain 3 ; Julien Diener 1 ; Bruno Moulia 2 ; Emmanuel de Langre 1

1 Department of Mechanics, LadHyX, École polytechnique–CNRS, 91128 Palaiseau, France
2 INRA, PIAF, 63100 Clermont-Ferrand, France
3 Department of Mechanics, LMS, École polytechnique–CNRS, 91128 Palaiseau, France
@article{CRMECA_2014__342_1_1_0,
     author = {Christelle Der Loughian and Lo{\"\i}c Tadrist and Jean-Marc Allain and Julien Diener and Bruno Moulia and Emmanuel de Langre},
     title = {Measuring local and global vibration modes in model plants},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {1--7},
     publisher = {Elsevier},
     volume = {342},
     number = {1},
     year = {2014},
     doi = {10.1016/j.crme.2013.10.010},
     language = {en},
}
TY  - JOUR
AU  - Christelle Der Loughian
AU  - Loïc Tadrist
AU  - Jean-Marc Allain
AU  - Julien Diener
AU  - Bruno Moulia
AU  - Emmanuel de Langre
TI  - Measuring local and global vibration modes in model plants
JO  - Comptes Rendus. Mécanique
PY  - 2014
SP  - 1
EP  - 7
VL  - 342
IS  - 1
PB  - Elsevier
DO  - 10.1016/j.crme.2013.10.010
LA  - en
ID  - CRMECA_2014__342_1_1_0
ER  - 
%0 Journal Article
%A Christelle Der Loughian
%A Loïc Tadrist
%A Jean-Marc Allain
%A Julien Diener
%A Bruno Moulia
%A Emmanuel de Langre
%T Measuring local and global vibration modes in model plants
%J Comptes Rendus. Mécanique
%D 2014
%P 1-7
%V 342
%N 1
%I Elsevier
%R 10.1016/j.crme.2013.10.010
%G en
%F CRMECA_2014__342_1_1_0
Christelle Der Loughian; Loïc Tadrist; Jean-Marc Allain; Julien Diener; Bruno Moulia; Emmanuel de Langre. Measuring local and global vibration modes in model plants. Comptes Rendus. Mécanique, Volume 342 (2014) no. 1, pp. 1-7. doi : 10.1016/j.crme.2013.10.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.10.010/

[1] L. Martin; N. Leblanc-Fournier; J.-L. Julien; B. Moulia; C. Coutand Acclimation kinetics of physiological and molecular responses of plants to multiple mechanical loadings, J. Exp. Bot., Volume 61 (2010), pp. 2403-2412

[2] Arabidopsis Genome Initiative, Analysis of the genome sequence of the flowering plant arabidopsis thaliana, Nature, Volume 408 (2000) no. 6814, p. 796

[3] M.J. Jaffe Thigmomorphogenesis: the response of plant growth and development to mechanical stimulation, Planta, Volume 114 (1973), pp. 143-157

[4] E. de Langre Effects of wind on plants, Annu. Rev. Fluid Mech., Volume 23 (2008), pp. 971-979

[5] B. Theckes; E. de Langre; X. Boutillon Damping by branching: a bioinspiration from trees, Bioinspir. & Biomim., Volume 6 (2011) no. 4, p. 046010

[6] M. Rodriguez; E. de Langre; B. Moulia A scaling law for the effects of architecture and allometry on tree vibration modes suggests a biological tuning to modal compartmentalization, Am. J. Bot., Volume 95 (2008), pp. 1523-1537

[7] M. Filoche; S. Mayboroda Universal mechanism for Anderson and weak localization, Proc. Natl. Acad. Sci. USA, Volume 109 (2012) no. 37, pp. 14761-14766

[8] T. Farquhar; J.Z. Wood; J. van Beem The kinematics of wheat struck by a wind gust, Trans. ASME, J. Appl. Mech., Volume 67 (2000), pp. 496-502

[9] C. Py; E. de Langre; B. Moulia A frequency lock-in mechanism in the interaction between wind and crop canopies, J. Fluid Mech., Volume 568 (2006), pp. 425-449

[10] J. Morizet; M. Mingeau Effect of environment on water-uptake, as studied on beheaded exudating tomato. 1. Role of nutrients, Ann. Agron., Volume 27 (1976), pp. 183-205

[11] A. Barbacci, J. Diener, P. Hémon, B. Adam, N. Donès, L. Reveret, B. Moulia, A robust videogrametric method for the velocimetry of wind-induced motion in trees, Agr. Forest. Meteorol. 184 (2014) 220–229.

[12] J. Shi; C. Tomasi Good features to track, Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognit., IEEE, 1994, pp. 593-600

[13] J.-Y. Bouguet, Intel Corporation, Microprocessor Research Labs (2001), p. 5

[14] C. Py; E. de Langre; B. Moulia; P. Hémon Measurement of wind-induced motion of crop canopies from digital video images, Agr. Forest. Meteorol., Volume 130 (2005), pp. 223-236

[15] N. Aubry; R. Guyonnet; R. Lima Spatiotemporal analysis of complex signals: theory and applications, J. Stat. Phys., Volume 64 (1991) no. 3–4, pp. 683-739

[16] M. Rodriguez; S. Ploquin; B. Moulia; E. de Langre The multimodal dynamics of a walnut tree: Experiments and models, J. Appl. Mech., Volume 79 (2012) no. 4, p. 4505

[17] A. Leung Dynamic substructure method for elastic fractal structures, Comput. Struct., Volume 89 (2011) no. 3, pp. 302-315

[18] R.T. Furbank; M. Tester Phenomics–technologies to relieve the phenotyping bottleneck, Trends Plant Sci., Volume 16 (2011) no. 12, pp. 635-644

  • Carlo Trigona; Giuliano A. Salerno; Nunzio Salerno; Salvatore Baglio; Adi R. Bulsara Analytical modeling of tribo/piezoelectric transducers for energy harvesting from slow plant movements, Measurement, Volume 256 (2025), p. 118109 | DOI:10.1016/j.measurement.2025.118109
  • Tristan Gilet; Loïc Tadrist Leaf oscillation and upward ejection of droplets in response to drop impact, Physical Review Fluids, Volume 10 (2025) no. 5 | DOI:10.1103/physrevfluids.10.053601
  • Alexandre Villié; Mauricio C. Vanzulli; Jorge M. Pérez Zerpa; Jérôme Vétel; Stéphane Etienne; Frédérick P. Gosselin Modeling vortex-induced vibrations of branched structures by coupling a 3D-corotational frame finite element formulation with wake-oscillators, Journal of Fluids and Structures, Volume 125 (2024), p. 104074 | DOI:10.1016/j.jfluidstructs.2024.104074
  • Karthik Yerrapragada; Haocheng Yang; Wonhyeok Lee; Melih Eriten Characterization of drying-induced changes in moduli and internal stresses in a constrained gel using laser vibrometry, Soft Matter, Volume 20 (2024) no. 4, p. 813 | DOI:10.1039/d3sm01328f
  • Cheng Ning Loong; Elias G. Dimitrakopoulos Modal properties of fractal sympodial trees: insights and analytical solutions using a group tree modeling approach, Applied Mathematical Modelling, Volume 115 (2023), p. 127 | DOI:10.1016/j.apm.2022.10.048
  • Xinnian Yang; Achuan Wang; Peng Pang The Performance of Discriminative Tracking Algorithms for the Sway Frequency Measurement of Betula platyphylla Sukaczev (Individual Branch and Tree) under Artificial and Natural Excitation, Forests, Volume 14 (2023) no. 11, p. 2196 | DOI:10.3390/f14112196
  • Raquel Gonçalves; Camila Linhares; Takashi Yojo Drag coefficient in urban trees, Trees, Volume 37 (2023) no. 1, p. 133 | DOI:10.1007/s00468-019-01951-1
  • Leal K Lauderbaugh; Curtis D Holder; Simon Poppinga The biomechanics of leaf oscillations during rainfall events, Journal of Experimental Botany, Volume 73 (2022) no. 4, p. 1139 | DOI:10.1093/jxb/erab492
  • Wai Yi Chau; Cheng Ning Loong; Yu-Hsing Wang; Siu-Wai Chiu; Tun Jian Tan; Jimmy Wu; Mei Ling Leung; Pin Siang Tan; Ghee Leng Ooi Understanding the dynamic properties of trees using the motions constructed from multi-beam flash light detection and ranging measurements, Journal of The Royal Society Interface, Volume 19 (2022) no. 193 | DOI:10.1098/rsif.2022.0319
  • Alice Berardo; Valeria Fattoruso; Valerio Mazzoni; Nicola M. Pugno Coupling computational vibrational models and experimental biotremology to develop a green pest control strategy against the greenhouse whiteflyTrialeurodes vaporariorum, Journal of The Royal Society Interface, Volume 19 (2022) no. 195 | DOI:10.1098/rsif.2022.0311
  • Caleb Fitzgerald; Cullen S. Vens; Nathan Miller; Richard Barker; Matthew Westphall; Johnathan Lombardino; Jerry Miao; Sarah J. Swanson; Simon Gilroy Using the Automated Botanical Contact Device (ABCD) to Deliver Reproducible, Intermittent Touch Stimulation to Plants, Plant Gravitropism, Volume 2368 (2022), p. 81 | DOI:10.1007/978-1-0716-1677-2_6
  • Maryam FADAMI; Thomas RATH Investigations on Usage of Multicopters in Greenhouses for Plant Monitoring and its Possible Side Effects, Engineering in Agriculture, Environment and Food, Volume 14 (2021) no. 4, p. 122 | DOI:10.37221/eaef.14.4_122
  • Mouad Boudina; Frédérick P. Gosselin; Stéphane Étienne Vortex-induced vibrations: a soft coral feeding strategy?, Journal of Fluid Mechanics, Volume 916 (2021) | DOI:10.1017/jfm.2021.252
  • Daniel Tran; Tiffanie Girault; Marjorie Guichard; Sébastien Thomine; Nathalie Leblanc-Fournier; Bruno Moulia; Emmanuel de Langre; Jean-Marc Allain; Jean-Marie Frachisse Cellular transduction of mechanical oscillations in plants by the plasma-membrane mechanosensitive channel MSL10, Proceedings of the National Academy of Sciences, Volume 118 (2021) no. 1 | DOI:10.1073/pnas.1919402118
  • Marilena Enuş; Ebba Dellwik; Jakob Mann; Horia Hangan; Adrian Costache Three-dimensional measurements of tree crown movement using an infrared time-of-flight camera, Experiments in Fluids, Volume 61 (2020) no. 11 | DOI:10.1007/s00348-020-03053-y
  • Oleksandr Zhdanov; Michael R. Blatt; Andrea Cammarano; Hossein Zare-Behtash; Angela Busse A new perspective on mechanical characterisation of Arabidopsis stems through vibration tests, Journal of the Mechanical Behavior of Biomedical Materials, Volume 112 (2020), p. 104041 | DOI:10.1016/j.jmbbm.2020.104041
  • Laura Helena Caicedo-Lopez; Luis Miguel Contreras-Medina; Ramon Gerardo Guevara-Gonzalez; Andrés Esteban Perez-Matzumoto; Arturo Ruiz-Rueda Effects of hydric stress on vibrational frequency patterns of Capsicum annuum plants, Plant Signaling Behavior, Volume 15 (2020) no. 7, p. 1770489 | DOI:10.1080/15592324.2020.1770489
  • Emmanuel de Langre Plant vibrations at all scales: a review, Journal of Experimental Botany, Volume 70 (2019) no. 14, p. 3521 | DOI:10.1093/jxb/erz209
  • Nathanael Nelson; Christopher J Stubbs; Ryan Larson; Douglas D Cook Measurement accuracy and uncertainty in plant biomechanics, Journal of Experimental Botany, Volume 70 (2019) no. 14, p. 3649 | DOI:10.1093/jxb/erz279
  • Alexandra J Burgess; Jonathon A Gibbs; Erik H Murchie A canopy conundrum: can wind-induced movement help to increase crop productivity by relieving photosynthetic limitations?, Journal of Experimental Botany, Volume 70 (2019) no. 9, p. 2371 | DOI:10.1093/jxb/ery424
  • Miyuki T. Nakata; Masahiro Takahara; Shingo Sakamoto; Kouki Yoshida; Nobutaka Mitsuda High-Throughput Analysis of Arabidopsis Stem Vibrations to Identify Mutants With Altered Mechanical Properties, Frontiers in Plant Science, Volume 9 (2018) | DOI:10.3389/fpls.2018.00780
  • Loïc Tadrist; Marc Saudreau; Pascal Hémon; Xavier Amandolese; André Marquier; Tristan Leclercq; Emmanuel de Langre Foliage motion under wind, from leaf flutter to branch buffeting, Journal of The Royal Society Interface, Volume 15 (2018) no. 142, p. 20180010 | DOI:10.1098/rsif.2018.0010
  • Frederik Börnke; Thorsten Rocksch Thigmomorphogenesis – Control of plant growth by mechanical stimulation, Scientia Horticulturae, Volume 234 (2018), p. 344 | DOI:10.1016/j.scienta.2018.02.059
  • Darshil U Shah; Thomas PS Reynolds; Michael H Ramage; Christine Raines The strength of plants: theory and experimental methods to measure the mechanical properties of stems, Journal of Experimental Botany, Volume 68 (2017) no. 16, p. 4497 | DOI:10.1093/jxb/erx245
  • Olivier Hamant; Bruno Moulia How do plants read their own shapes?, New Phytologist, Volume 212 (2016) no. 2, p. 333 | DOI:10.1111/nph.14143
  • Barry Gardiner; Peter Berry; Bruno Moulia Review: Wind impacts on plant growth, mechanics and damage, Plant Science, Volume 245 (2016), p. 94 | DOI:10.1016/j.plantsci.2016.01.006
  • Bruno Moulia; Catherine Coutand; Jean-Louis Julien Mechanosensitive control of plant growth: bearing the load, sensing, transducing, and responding, Frontiers in Plant Science, Volume 6 (2015) | DOI:10.3389/fpls.2015.00052
  • Nathalie Leblanc-Fournier; Ludovic Martin; Catherine Lenne; Mélanie Decourteix To respond or not to respond, the recurring question in plant mechanosensitivity, Frontiers in Plant Science, Volume 5 (2014) | DOI:10.3389/fpls.2014.00401

Cité par 28 documents. Sources : Crossref

Commentaires - Politique