Geisler, M.; Dreyer, I.

Extracellular auxin maxima and minima are important to control plant developmental programs. Auxin gradients are provided by the concerted action of proteins from the three major plasma membrane auxin transporter classes AUX1/LAX, PIN and ABCB transporters. But neither genetic nor biochemical nor modelling approaches have been able to reliably assign the individual roles and interplay of these transporter types. Based on the thermodynamic properties of the transporters, we show here by mathematical modeling and computational simulations that the concerted action of different auxin transporter types allow the adjustment of specific transmembrane auxin gradients. The dynamic flexibility of the "auxin homeostats" comes at the cost of an energy-consuming "auxin cycling" across the membrane. An unexpected finding was that functional ABCB-PIN coupling appears to allow an optimization of the trade-off between the speed of auxin gradient adjustment on the one hand and ATP consumption and disturbance of general anion homeostasis on the other. In conclusion, our analyses provide fundamental insights into the thermodynamic constraints and flexibility of transmembrane auxin transport in plants.