Though myosin V is among the most extensively studied of motor proteins, improvements in experimental techniques continue to provide new insights into the details of its dynamics. High-speed atomic force microscopy has visualized not only the expected hand-over-hand stepping of the two-headed motor along actin filaments, but additional, less well understood behaviors like “foot stomping”, where one head detaches and rebinds to the same site. A comprehensive picture of myosin motility needs to account for all the kinetic pathways, including backstepping and foot stomping, how they vary under load, and their relationship to the structural and chemical parameters of the motor. Starting from a simple polymer model, we develop an analytical theory to understand the minimal physical properties that govern motor dynamics. In particular, we solve the first-passage problem of the head reaching the target binding site, investigating the competing effects of load pulling back at the motor, strain in the leading head that biases the diffusion in the direction of the target, and the possibility of preferential binding to the forward site due to the recovery stroke. The theory reproduces a variety of experimental data, including the power stroke and slow diffusive search regimes in the mean trajectory of the detached head, and the force dependence of the forward-to-backward step ratio, run length, and velocity. The analytical approach yields a formula for the stall force, identifying the relative contributions of the chemical cycle rates versus mechanical features like the bending rigidities of the lever arms. Moreover we can fully explore the parameter phase space, to determine the robustness of the dynamical behavior to perturbations, and the natural constraints that dictate the structure of the motor.
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