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Mechanics of pressurized cellular sheets.

Thomas G J Chandler1,2, Jordan Ferria3, Oliver Shorthose4

  • 1Mathematical Institute, University of Oxford, Woodstock Rd, Oxford OX2 6GG, UK.

Journal of the Royal Society, Interface
|February 11, 2025
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Summary

Internal pressure, like plant turgor pressure, stiffens cellular sheets. This study reveals how pressure increases bending stiffness in single-cell-thick sheets, impacting plant cell mechanics and biomimetic designs.

Keywords:
bryophytescellular solidsturgor

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Area of Science:

  • Biophysics
  • Plant Biology
  • Materials Science

Background:

  • Cellular sheets gain stiffness from internal pressure (e.g., gas in inner tubes, water turgor in plants).
  • The mechanical basis for pressure-induced stiffening in thin cellular structures is not fully understood.
  • Existing models do not fully explain the observed pressure-dependent stiffness.

Purpose of the Study:

  • To investigate the mechanics of single-cell-thick sheets under pressure.
  • To develop a model explaining pressure-dependent bending stiffness.
  • To rationalize plant cell turgor phenomena and inform biomimetic designs.

Main Methods:

  • Theoretical modeling of thin cellular sheets under internal pressure.
  • Analysis of pressure-induced changes in bending stiffness.
  • Comparison of model predictions with plant biology observations and experimental biomimetic actuators.

Main Results:

  • A model demonstrating pressure-dependent bending stiffness in cellular sheets was developed.
  • The model explains turgor-driven shrinkage in plant cells.
  • Turgor pressure offers limited structural support in monolayer leaves but controls leaf shape.

Conclusions:

  • Internal pressure significantly influences the mechanical properties of thin cellular sheets.
  • Turgor pressure plays a key role in plant cell shape regulation, particularly in thin leaf structures.
  • The findings enable the design of novel biomimetic actuators based on pressure-responsive materials.