Advertisement

Phototropism pp 223-234 | Cite as

Quantitative Measurements of Curvature Along the Growth Axis in Tropic Responses Using Free Software Environments

  • Kotaro T. YamamotoEmail author
  • Ken Haga
Protocol
Part of the Methods in Molecular Biology book series (MIMB, volume 1924)

Abstract

Tropic responses in plants have usually been studied by measuring changes in the deflection angle of the organ tip. However, the measurement of other geometric parameters, such as curvature along the entire length, may give us better understanding of tropic responses, particularly in shoots. Here, we describe methods for obtaining quantitative measurements of local curvature and other parameters based on digital images of bending Arabidopsis hypocotyls using the free software packages, ImageJ and R.

Key words

Curvature Curve fit Hypocotyl bending ImageJ Partial derivative of curvature 

Notes

Acknowledgment

This work was funded in part by Grants-in-Aid from Ministry of Education, Culture, Sports, Science, and Technology, Japan, to K. T. Y. (19060008).

References

  1. 1.
    Moulia B, Fournier M (2009) The power and control of gravitropic movements in plants: a biomechanical and systems biology view. J Exp Bot 60:461–486CrossRefGoogle Scholar
  2. 2.
    Bastien R, Bohr T, Moulia B, Douady S (2013) Unifying model of shoot gravitropism reveals proprioception as a central feature of posture control in plants. Proc Natl Acad Sci USA 110:755–760CrossRefGoogle Scholar
  3. 3.
    Firn RD, Digby J (1979) A study of the autotropic straightening reaction of a shoot previously curved during geotropism. Plant Cell Environ 2:149–154CrossRefGoogle Scholar
  4. 4.
    Stanković B, Volkman D, Sack FD (1998) Autotropism, automorphogenesis, and gravity. Physiol Plant 102:328–335CrossRefGoogle Scholar
  5. 5.
    Tarui Y, Iino M (1997) Gravitropism of oat and wheat coleoptiles: dependence on the stimulation angle and involvement of autotropic straightening. Plant Cell Physiol 38:1346–1353CrossRefGoogle Scholar
  6. 6.
    Okamoto K, Ueda H, Shimada T, Tamura K, Kato T, Tasaka M, Morita MT, Hara-Nishimura I (2015) Regulation of organ straightening and plant posture by an actin-myosin XI cytoskeleton. Nat Plants 1:15031CrossRefGoogle Scholar
  7. 7.
    Silk WK, Erickson RO (1978) Kinematics of hypocotyl curvature. Am J Bot 65:310–319CrossRefGoogle Scholar
  8. 8.
    Cosgrove DJ (1990) Rapid, bilateral changes in growth rate and curvature during gravitropism of cucumber hypocotyls: implications for mechanism of growth control. Plant Cell Environ 13:227–234CrossRefGoogle Scholar
  9. 9.
    Meškauskas A, Moore D, Frazer LN (1998) Mathematical modelling of morphogenesis in fungi: spatial organization of the gravitropic response in the mushroom stem of Coprinus cinereus. New Phytol 140:111–123CrossRefGoogle Scholar
  10. 10.
    Coutand C, Fournier M, Moulia B (2007) The gravitropic response of poplar trunks: key roles of prestressed wood regulation and the relative kinetics of cambial growth versus wood maturation. Plant Physiol 144:1166–1180CrossRefGoogle Scholar
  11. 11.
    Miller ND, Parks BM, Spalding EP (2007) Computer-vision analysis of seedling responses to light and gravity. Plant J 52:374–381CrossRefGoogle Scholar
  12. 12.
    Yamamoto KT, Watahiki MK, Matsuzaki J, Satoh S, Shimizu H (2017) Space-time analysis of gravitropism in etiolated Arabidopsis hypocotyls using bioluminescence imaging of the IAA19 promoter fusion with a destabilized luciferase reporter. J Plant Res 130:765–777CrossRefGoogle Scholar
  13. 13.
    Hastie T, Tibshirani R, Friedman J (2001) The elements of statistical learning: data mining, inference, and prediction. Springer, New YorkCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Biological Sciences, Faculty of ScienceHokkaido UniversitySapporoJapan
  2. 2.Department of Applied Chemistry, Faculty of Fundamental EngineeringNippon Institute of TechnologyMiyashiroJapan

Personalised recommendations