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. 2013 Jul 29;110(34):14018–14023. doi: 10.1073/pnas.1308282110

Fig. 1.

Fig. 1.

Full-lifetime tracking of swimming behavior in T. thermophila and defining behavioral states. (A) An example of a microfluidic device used in this study. Tetrahymena are loaded into the circular central chamber (Experimental Procedures). (B) The 4-h full-lifetime swimming trajectory of an individual confined to a chamber like the one shown in A is shown in gray, and a 6-min portion is divided into three segments of equal duration (blue, red, green). Full trajectories of (x, y) coordinates (B) are transformed into a time series of speeds and angular velocity Inline graphic. (C) A short segment of trajectory illustrates the calculation of Inline graphic and Inline graphic. (D) The result of such a transformation for an entire time series. (E) An expanded view of the Inline graphic and Inline graphic time series for the colored segments of the trajectory in B and D. (F) Histograms of Inline graphic and Inline graphic for each of the three segments of swimming trajectory in E. The faster, straighter swimming in the blue segment is apparent as the narrow peak of density centered around Inline graphic (rad/s) and Inline graphic. Although the slower, higher tortuosity swimming behavior in the red and green segments is evident as the density below Inline graphic with a greater range of Inline graphic. For a segment centered at time t of individual N, its histogram is denoted Inline graphic. We refer to each histogram as a “behavioral state”. Color bars reflect the density in each histogram. Differences between behavioral states are measured by the Jensen–Shannon divergence, denoted Inline graphic. For the dissimilar blue and red segments Inline graphic whereas for the more similar red and green segments Inline graphic.