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. 2012 Oct 10;7(10):e46570. doi: 10.1371/journal.pone.0046570

Figure 1. Position characteristics of a fly inside a circular arena of radius 4.2 cm.

Figure 1

Two experiments, each of 10 minute duration broken into 1 minute intervals, are shown in A and B. The spatial density, P(x,y), of the fly in A and B are shown in C and D, respectively, in logarithmic scale. The density plots clearly indicate that the fly prefers the boundary and has no angular preference along the boundary. In panel E, we illustrate turn angle, Inline graphic, and step size, Inline graphic, in the two-component model. There are four consecutive locations of the fly at time Inline graphic, Inline graphic, Inline graphic and Inline graphic. Turn angle Inline graphic at time Inline graphic is measured with respect to the direction of movement at the previous time step. The direction of movement at time Inline graphic is along the direction of vector Inline graphic. The step length Inline graphic at time Inline graphic is given by Inline graphic.