Kinetics of actin-myosin binding. Myosin cooperativity and mixed single-headed and two-headed binding

A model is proposed for the kinetics of actin-myosin interaction that allows for the presence of both one- and two-headed myosin fragments, cooperativity between myosin sites, and the molecular weight distribution of actin filaments. The approach employed makes use of the notion of effectivity factors. In the most general case, the system is described by six coupled first-order differential equations. When only single-headed myosin (S1) is present, the model reduces to simpler versions introduced previously.