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Related Experiment Video

Updated: Mar 15, 2026

Robotic Sensing and Stimuli Provision for Guided Plant Growth
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Extending a 1D Multi-Scale Plant Growth Model to Include Branching under Environmental and Soil Nutrient Dynamics.

Hassan Chini1,2, Aissam Jebrane3, Abdelilah Hakim4

  • 1Complex Systems and Interactions Research Center, Centrale Casablanca, Ville Verte, Bouskoura, 27182, Morocco. hassan.chini@centrale-casablanca.ma.

Journal of Mathematical Biology
|March 13, 2026
PubMed
Summary

This study enhances a plant growth model to include environmental factors like temperature and solar radiation, improving predictions of plant architecture and branching under dynamic conditions.

Keywords:
1D with branchingAuxin and Cytokinin hormonesBessonov-Volpert modelEnvironmental conditionsMulti-scale modelingSoil nutrients

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Area of Science:

  • Plant biology
  • Mathematical modeling
  • Environmental science

Background:

  • The Bessonov-Volpert model describes plant elongation based on nutrient uptake but lacks environmental influence.
  • Plant development is significantly impacted by environmental factors like temperature and solar radiation, affecting growth and branching.

Purpose of the Study:

  • To extend the 1D multi-scale hybrid model of plant growth to incorporate environmental dynamics.
  • To generalize the framework for plant development under fluctuating soil nutrients and environmental conditions.
  • To enable the emergence of lateral branches within the model.

Main Methods:

  • Extended the Bessonov-Volpert model by incorporating an effective time variable based on Effective Day Degrees.
  • Integrated temperature and solar radiation into the model to influence growth velocity.
  • Coupled local hormonal signaling (auxin and cytokinin) with nutrient-dependent growth and environmental constraints.

Main Results:

  • The modified model shows growth velocity dependent on environmental fluctuations, not constant as in the original model.
  • Numerical simulations demonstrate how soil nutrients and environmental conditions influence plant branching patterns and architecture.
  • The model successfully integrates hormonal signaling, nutrient uptake, and environmental factors.

Conclusions:

  • The enhanced model provides a mathematically consistent and biologically grounded framework for studying adaptive plant growth.
  • This generalized model offers new insights into how dynamic environments shape plant architecture.
  • The study highlights the importance of environmental factors in plant development and branching.