A rigorous numerical test of a hypothetical mechanism of a molecular motor should model explicitly the diffusive motion of the motor's degrees of freedom as well as the transition rates between the motor's chemical states. We present such a Brownian dynamics, mechanochemcial model of the coarse-grain structure of the dimeric, linear motor myosin V. Compared with run-length data, our model provides strong support for a proposed strain-controlled gating mechanism that enhances processivity. We demonstrate that the diffusion rate of a detached motor head during motor stepping is self-consistent with known kinetic rate constants and can explain the motor's key performance features, such as speed and stall force. We present illustrative and realistic animations of motor stepping in the presence of thermal noise. The quantitative success and illustrative power of this type of model suggest that it will be useful in testing our understanding of a range of biological and synthetic motors.Brownian dynamics ͉ molecular motor ͉ strain-dependent gating M yosin V moves cargo through eukaryotic cells by walking in a hand-over-hand fashion along actin filaments (1, 2). Recent high-resolution, single-molecule experiments have provided an unprecedented level of insight into the physical mechanism underlying the coordinated steps of this biological motor. A growing level of support is beginning to form around a hypothetical stepping mechanism in which a step takes place through biased tethered diffusion of a detached head (3-5), and detachment of the two heads is coordinated through intramolecular strain, facilitating hand-over-hand forward stepping and avoiding motor detachment (6-9).One can expect that the realization of such a stepping mechanism should require delicate mutual fine-tuning of the involved chemical rates, the motor's structural and mechanical properties, and the diffusive motion of the motor's degrees of freedom. For example, the rate of tethered diffusion (a function of motor size and stiffness) must be matched to the binding and unbinding rates of the motor head. Furthermore, the effectiveness of a strain-controlled gating mechanism depends on the detailed diffusive motion of the motor's internal degrees of freedom, because intramolecular strain is a quickly varying function of the instantaneous motor conformation.To test the feasibility of a given stepping mechanism of dimeric molecular motors, it is therefore necessary to model the random thermal motion of the molecule's degrees of freedom as well as its mechanical and the kinetic properties. Most suited for this task are so-called ''mechanochemical'' models, which include a discrete set of chemical states and some coarse-grained mechanical features. Their advantage is that they are more detailed than discrete kinetic models that treat the motor as one or two ''points'' that discretely hop along a track and yet allow full simulation of hand-over-hand stepping, in contrast to computationally expensive full atomistic models that also require large numbers of pa...