Spontaneous oscillations, beating patterns, and hydrodynamics of active microfilaments

We develop a geometrically nonlinear model of the flagellar axoneme that accounts for the stochastic kinetics of molecular motors and results in spontaneous oscillations. We capture the beating patterns of sperm, cilia and $C{{0}{0ex}}h{{0}{0ex}}l{{0}{0ex}}a{{0}{0ex}}m{{0}{0ex}}y{{0}{0ex}}d{{0}{0ex}}o{{0}{0ex}}m{{0}{0ex}}o{{0}{0ex}}n{{0}{0ex}}a{{0}{0ex}}s$ and analyze their hydrodynamics through reduced order models.