Spontaneous oscillations, beating patterns, and hydrodynamics of active microfilaments

Abstract

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 $C\phantom{\rule{0}{0ex}}h\phantom{\rule{0}{0ex}}l\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}m\phantom{\rule{0}{0ex}}y\phantom{\rule{0}{0ex}}d\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}m\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}s$ and analyze their hydrodynamics through reduced order models.