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Related Experiment Video

Updated: Jan 24, 2026

A Label-free Technique for the Spatio-temporal Imaging of Single Cell Secretions
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Spatio-temporal integration in plant tropisms.

Yasmine Meroz1,2, Renaud Bastien3,4, L Mahadevan1,5,6,7

  • 11 School of Engineering and Applied Sciences, Harvard University , Cambridge, MA 02138 , USA.

Journal of the Royal Society, Interface
|May 16, 2019
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Summary

Plant shoots integrate light and gravity stimuli over time, not just react instantly. Our new model explains this temporal integration, predicting tropic responses to changing environmental cues.

Keywords:
growthplant tropismreciprocityresponse functiontemporal integration

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Area of Science:

  • Plant biology
  • Biophysics
  • Mathematical modeling

Background:

  • Tropisms are growth responses to environmental stimuli, crucial for plant reorientation.
  • Classical experiments show plant shoots integrate light and gravity stimuli over time.

Purpose of the Study:

  • To develop a mathematical model for plant shoot growth dynamics that accounts for temporal integration of stimuli.
  • To qualitatively reproduce experimental observations of tropic responses to intermittent and unsteady stimuli.

Main Methods:

  • Formulation of a temporally non-local response function using an integro-differential equation.
  • Derivation of an analytic solution for pulse stimuli, applied to phototropism in Arabidopsis hypocotyls.

Main Results:

  • The model qualitatively reproduces experimental observations of plant tropic responses to time-varying stimuli.
  • An analytic solution was derived, expressing the response function in terms of experimentally measurable variables.
  • The model successfully predicts phototropic responses in Arabidopsis hypocotyls.

Conclusions:

  • The developed model accurately captures temporal integration phenomena in plant tropisms.
  • This framework allows prediction of tropic responses to complex, time-varying environmental cues.
  • The model provides a foundation for incorporating additional factors like multiple stimuli and gravitational effects.