content_image/334209.jpg
<img src='content_image/334209.jpg'>

the oblate vesicle deflates, at t ≈ 0 . 58 the stomatocyte symmetry state is entered once more, the lobes sweep upwards, and the vesicle moves downwards. Despite the presence of a becalmed period during the vesicle does not move, the cycle that involves the shape transition yields a larger mean velocity than the lower cycle, 〈 U 〉 = − 0 . 055, and an increased hydrodynamic efficiency, η$_{H}$ = 0 . 7%. 

As previously noted, crossing the shape transition line between stomatocyte and oblate shapes indicated in Fig. 5a yields a continuous shape change. However, if we exploit the analogy with phase transitions, we note that some quantities must be discontinuous across the transition. Without exploring the details of a dynamic phase transition in the context of vesicle locomotion, although the order parameter is continuous, derivatives of the order parameter need not be so. In other 

