Table 1.

Physical parameters used in the nutrient model

Constant	Value	Units	Description
$\tilde{D}$	${10}^{-9}$	${\text{m}}^2{\text{s}}^{-1}$	Diffusion constant
${\tilde{K}}_m$	$6\times {10}^{-3}$	$\text{mol\hspace{0.17em}\hspace{0.17em}}{\text{m}}^{-3}$	Uptake constant
${\tilde{F}}_m$	$5\times {10}^{-9}$	$\text{mol\hspace{0.17em}\hspace{0.17em}}{\text{m}}^{-2}{s}^{-1}$	Uptake rate
${\tilde{k}}_d$	$2.569\times {10}^{-4}$	${\text{s}}^{-1}$	Desorption rate
${\tilde{k}}_a$	$3.73\times {10}^{-9}$	$\text{m} s^{-1}$	Adsorption rate
${\tilde{g}}_r$	$5\times {10}^{-9}$	$\text{m} s^{-1}$	Root-hair growth rate
$\tilde{\alpha }$	$0.2\times {10}^6$	${\text{m}}^{-1}$	Root-hair cut off rate