The Kinetics of Mechanically Coupled Myosins Exhibit Group Size-Dependent Regimes

Abstract

Naturally occurring groups of muscle myosin behave differently from individual myosins or small groups commonly assayed invitro. Here, we investigate the emergence of myosin group behavior with increasing myosin group size. Assuming the number of myosin binding sites (N) is proportional to actin length (L) (N= L/35.5nm), we resolve invitro motility of actin propelled by skeletal muscle myosin for L= 0.2-3 μm. Three distinct regimes were found: L< 0.3 μm, sliding arrest; 0.3 μm ≤ L ≤ 1 μm, alternation between arrest and continuous sliding; L > 1 μm, continuous sliding. We theoretically investigated the myosin group kinetics with mechanical coupling via actin. We find rapid actin sliding steps driven by power-stroke cascades supported by postpower-stroke myosins, and phases without actin sliding caused by prepower-stroke myosin buildup. The three regimes are explained: N= 8, rare cascades; N= 15, cascade bursts; N= 35, continuous cascading. Two saddle-node bifurcations occur for increasing N (mono → bi → mono-stability), with steady states corresponding to arrest and continuous cascading. The experimentally measured dependence of actin sliding statistics on L and myosin concentration is correctly predicted.