“…Consider, for example, the formation of the midvein at the center of the cylindrical leaf primordium. Initially, the plasma-membrane (PM)-localized PIN-FORMED1 (PIN1) protein of Arabidopsis (Galweiler et al, 1998), which catalyzes cellular efflux of the plant signal auxin (Petrasek et al, 2006), is expressed in all the inner cells of the leaf primordium (Benkova et al, 2003; Reinhardt et al, 2003; Heisler et al, 2005; Scarpella et al, 2006; Wenzel et al, 2007; Bayer et al, 2009; Verna et al, 2015); over time, however, PIN1 expression becomes gradually restricted to the file of cells that will form the midvein. PIN1 localization at the PM of the inner cells is initially isotropic, or nearly so, but as PIN1 expression becomes restricted to the site of midvein formation, PIN1 localization becomes polarized: in the cells surrounding the developing midvein, PIN1 localization gradually changes from isotropic to medial, i.e.…”