Fig. 14.

Reduced model (9) has similar dynamics to the full model (1)–(3) for the same parameter values. New parameters in (9) are calculated from previous parameters as detailed. a Zones of pattern formation and homogeneous distribution for parameters h and ${\theta }_p$ resemble those in Fig. 4a. Note ${\theta }_p={\beta }_p/2$. b Model (9) forms passage patterns with similar characteristics as in Fig. 5a with the same parameter values. c For the same parameter values as in Fig. 11c, model (9) generates similar reverse flow patterns at the root tip, where auxin is transported down the root from the central source cells and is then redirect to the outer layers of cells where it is transported back up the root; however, the exact alignment of PIN proteins on membranes is different (Color figure online)