Model of two noise source dependent Ornstein–Uhlenbeck processes applied to postural sway

In this study the postural control system is modeled in terms of two counteracting bio-subsystems. Their activities are described by two Ornstein–Uhlenbeck processes with different-in-magnitude noise sources. The model is constructed as a sum of these processes, where in each of them the same noise source with opposite sign of the noise coefficients was introduced. Since the friction coefficients are also different for these processes, the delay of a crossover from ballistic to diffusive motion for one of the subsystems is greater than for its counterpart. It turns out that for smaller time intervals a superdiffusive behavior is observed, whereas, counteraction of subsystems is called into play for a larger time intervals, what for investigated range of data, is exhibited as a slow, subdiffusive behavior.