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Fig. 4. The undulatory motion typical of tethered larvae. (A) The shape of the tail of a larva at any instant was described by the trunk angle ({theta}), position of inflection points on the tail (z) and the curvature of the tail between the inflection points ({kappa}*). The trunk angle was positive when the tail was bent to the right and negative when bent to the left of the body. (B) Changes in the midline of the tail of a larva over a single tail beat. Notice that as time progresses (to the right), inflection points (filled circles) move down the midline in the posterior direction (away from the base of the tail). (C-E) Points represent measurements of each kinematic parameter and the curves are found by a least-squares fit to functions described in the Materials and methods. (C) The curvature of bends between inflection points (with a period {gamma}) in both concave-left and concave-right bends (having an amplitude {alpha}). (D) The propagation of inflection points begins at the tail base with a phase lag of {zeta} with respect to a zero value of the trunk angle. (E) The trunk angle oscillates with time (with a period P). The vertical gray bands show when the trunk angle is directed towards the left side of the body, and white bands occur when the trunk angle is directed to the right.





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