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Existence of growth-induced negative pressures in elongating stems

Establish whether growth-induced negative hydrostatic pressure at the center of an elongating cylindrical stem can occur in real plant tissues or is merely an artefact of the saturation assumption in the poromorphoelastic model; characterize the conditions under which such negative pressures would arise or be precluded.

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Background

In the steady analysis of a growing cylindrical stem, the model predicts that for sufficiently large radii and limited water supply, pressure near the core could become negative due to hydraulic deficits and tensile forces from the epidermis. This raises a fundamental question about the physical realizability of negative turgor within living tissues under growth-induced conditions.

The authors highlight that this phenomenon depends on modeling assumptions, notably saturation, and acknowledge uncertainty about its existence in vivo, linking the issue to possible mechanisms of cavity formation in stem hollowing.

References

While it is unclear whether such growth-induced negative pressure can exist, insofar as it results from the saturation assumption #1{eqn:saturation}, we suspect that the relative water deficit within the core, and the associated tensile stresses, could potentially participate in cavity opening during stem hollowing, described mathematically by .

Hydromechanical field theory of plant morphogenesis (2409.02775 - Oliveri et al., 4 Sep 2024) in Subsubsection "Steady regime", Section "Growth of a cylinder: hydraulics and residual stress in stem development"