Synchronization dynamics for pairs of model cilia in the absence of hydrodynamic interactions. Phase sum, , for (a) , (b) and (c) . In each case (starting with ), IP (blue) and AP (red) synchronized states are obtained for and , respectively, over a timescale inversely proportional to . (d) Values of measured from numerical simulations (circles) compare favourably with equation (3.2) for sufficiently soft internal springs. Other model parameters as given in table 1. (Online version in colour.)