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The theory of elastic beams predicts that a plot of maximal deflection angle, scaled as shown in Fig. 2, should be independent of the whisker length, diameter, and Young's modulus, and depend only on the whisker taper and the amount of friction at the contact point (see File S1).
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Whole brain deterministic tractography was performed (Basser et al., 2000), with streamlines terminating if encountering a fractional anisotropy threshold <0.2 or a maximum deflection angle of 30°.
Following constraints are ensured: maximal deflection angles and rates for 1) pilot longitudinal pull-up 2) pilot bank angle order and 3) longitudinal turbulence.
The maximum deflection angle for a tapered whisker is substantially smaller than that for an untapered model whisker.
The maximum
The theoretical maximum deflection angle for a frictionless, untapered beam was found using a shooting method algorithm [46] to solve the equations of an elastic beam under large deflections [31], [47], [48].
We find that, for a given object distance, the maximum deflection angle of a tapered whisker is smaller by about 50% as compared with an untapered whisker.
The maximal permanent deflection angle was 0.15° in the Activmotion group.
As described in the Methods section, we measure the maximal range of deflection angles that a whisker can sustain.
The deflection angle, in the order of 50 mrad, is sufficiently small to avoid deflection aberrations.
The method gives formulas for bending moment, axial force and maximal deflection.
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