Table 4.

Parameter values for the auxin flux and PIN and AUX1 dynamics considered in model Eqs. (6)–(8), parameters based upon those in Heisler and Jönsson (2006)

Parameter	Description	Fig. 13
${\alpha }_u$	AUX1 biosynthesis rate, $\mu \text{M}{\text{min}}^{-1}$	5
${\mu }_u$	AUX1 degradation rate, ${\text{min}}^{-1}$	5
${\theta }_u$	Saturation of auxin-induced AUX1 biosynthesis, $\mu \text{M}$	1
${\varphi }_a$	Auxin membrane permeability, $\mu \text{m}{\text{min}}^{-1}$	0.55
${\kappa }_a^{\mathit{ef}}$	Fraction of protonated auxin in cell	0.004
${\kappa }_a^{\mathit{in}}$	Fraction of protonated auxin in wall	0.24
${\varphi }_p$	Saturating PIN-induced auxin membrane permeability, $\mu \text{m}{\text{min}}^{-1}$	0.27
${\tilde{\varphi }}_p$	PIN-induced auxin membrane permeability, $\mu \text{m}\mu {\text{M}}^{-1}$${\text{min}}^{-1}$	0.27
${\kappa }_p^{\mathit{ef}}$	Effective PIN-induced auxin efflux	4.67
${\kappa }_p^{\mathit{in}}$	Effective PIN-induced auxin influx	0.034
${\theta }_a^p$	Saturation of PIN-induced auxin transport, $\mu \text{M}$	1
${\varphi }_u$	Saturating AUX1-induced auxin membrane permeability, $\mu \text{m}{\text{min}}^{-1}$	0.55
${\tilde{\varphi }}_u$	AUX1-induced auxin membrane permeability, $\mu \text{m}\mu {\text{M}}^{-1}{\text{min}}^{-1}$	0.55
${\kappa }_u^{\mathit{ef}}$	Effective AUX1-induced auxin efflux	0.045
${\kappa }_u^{\mathit{in}}$	Effective AUX1-induced auxin influx	3.56
${\theta }_a^u$	Saturation of AUX1-induced auxin transport, $\mu \text{M}$	1
${\varphi }_A$	Rate of auxin diffusion in apoplast, $\mu \text{m}{\text{min}}^{-1}$	67
${\omega }_u$	Rate of AUX1 localisation to membrane, $\mu \text{m}{\text{min}}^{-1}$	0.5
${\delta }_u$	Rate of AUX1 dissociation from membrane, ${\text{min}}^{-1}$	0.05
${\omega }_p$	Maximum rate of PIN localisation to membrane, $\mu \text{m}{\text{min}}^{-1}$	0.5
${\kappa }_p$	Fraction of PIN localisation due to auxin feedback	1
${\theta }_p^a$	Threshold for half-maximal auxin-dependent PIN localisation, $\mu \text{M}$	1
${\delta }_p$	Rate of PIN dissociation from membrane, ${\text{min}}^{-1}$	0.05