In more general Kähler settings, the Lagrangian condition is still preserved provided one couples the mean curvature flow to the Kähler-Ricci flow (cf. [58]). Joyce’s program may have natural extensions to the almost Calabi-Yau setting. Indeed the generalisation of the flow may even be advantageous for achieving certain genericity conditions, as in the work of Woodward and Palmer [81][82].