Heterogeneous Vesicles with Phases having Different Preferred Curvatures: Shape Fluctuations and Mechanics of Active Deformations

We investigate the mechanics of heterogeneous vesicles having a collection of phase-separated domains with different preferred curvatures. We develop approaches to study at the coarse-grained level and continuum level the role of phase separation, elastic mechanics, and vesicle geometry. We investigate the elastic responses of vesicles both from passive shape fluctuations and from active deformations. We develop spectral analysis methods for analyzing passive shape fluctuations and further probe the mechanics through active deformations compressing heterogeneous vesicles between two flat plates or subjecting vesicles to insertion into slit-like channels. We find significant domain rearrangements can arise in heterogeneous vesicles in response to deformations. Relative to homogeneous vesicles, we find that heterogeneous vesicles can exhibit smaller resisting forces to compression and larger insertion times into channels. We introduce quantitative approaches for characterizing heterogeneous vesicles and how their mechanics can differ from homogeneous vesicles.