Table 1 Parameters and initial values

\(r_{\mathrm{b}}^0\)

0.3

μm

Init. radius (non-osmolytic volume)

Assumption

\(r_{\mathrm{b}}^0\)

0.1

μm

Init. radius (osmolytic volume)

Assumption

\(c_{\mathrm{i}}^0\)

319.17

mM

Osmolyte concentration (internal)

Calculated from turgor pressure

c _e

240.0

mM

Osmolyte concentration (external)

Measured

\({\mathrm{{\Pi}}}_{\mathrm{t}}^0\)

2.0 × 10⁵

Pa

Initial turgor pressure

⁷

R

8.314

\(\frac{\mathrm {{J}}}{{{\mathrm {mol}}\,{\mathrm {K}}}}\)

Ideal gas constant

T

303.0

K

Temperature

L _p

1.19 × 10⁻⁶

\(\frac{{{\mathrm {\mu m}}}}{{{\mathrm {sPa}}}}\)

Membrane water permeability

³

Π_tc

2.0 × 10⁵

Pa

Critical turgor pressure

⁷

d

0.115

μm

Cell wall thickness

⁶³

ϕ

1.0 × 10⁻³

\(\frac{1}{{{\mathrm {sPa}}}}\)

Extensibility

Initial assumption, fit in Fig. 4

ν

0.5

–

Poisson’s ratio

E

2.58 × 10⁶

Pa

Young’s modulus (3D)

⁷

k _uptake

2.0 × 10⁻¹⁶

\(\frac{{{\mathrm{mmol}}}}{{\mu {\mathrm{m}}^2{\mathrm{s}}}}\)

Osmolyte uptake rate constant

Initial assumption, fit in Fig. 4

k _consumption

2.0 × 10⁻¹⁶

\(\frac{{{\mathrm{mmol}}}}{{\mu {\mathrm{m}}^{\mathrm{3}}{\mathrm{s}}}}\)

Osmolyte consumption rate const.

initial assumption, fit in Fig. 4