Figure 2.
Angular Head Displacements Are Relatively Unconstrained in Mice
(A–E) One-dimensional kinematics of head motion.
(A) Cartoon depicts examples of rotations around each of the three Eulerian axes.
(B) Histograms showing the sampling of movements for each of the axes (yaw, magenta; pitch, cyan; roll, orange) from the trials of one animal. Dashed line shows the Gaussian curve fitted to the histogram of sampled movements.
(C) Line plots showing the animal averages (solid lines; n = 9) and population average (black dashed line) of the Gaussian curves fitted to the movement sampling data in yaw (magenta), pitch (cyan), and roll (orange).
(D and E) Bar charts showing the mean ± SEM of the center (D) and SD (E) of fitted Gaussian curves from the analyses of nine mice over 96 recording trials.
(F) Cartoons showing examples of the three possible pairings of conjunctive head motion. Left to right: yaw × pitch, yaw × roll, and pitch × roll motions are shown.
(G) Heatmaps depicting the sampling of head motions for each pair of conjunctive motions taken from the trials (n = 8) of one mouse. Warmer colors represent greater sampling. Black dashed lines depict the output of the regression carried out for this mouse.
(H and I) Scatterplots showing the individual regression coefficient (H) and associated R2 values (I) for each mouse (n = 9) in each pair of conjunctive motions. The mean ± SEM of the mice is shown to the left of each group of scatterplots in black.
(J) Quaternion representation of conjunctive motion sampling from the mouse shown in (G).
(K) Torsional SD values taken from the 1st and 2nd order fitting of Listing’s planes and Fick’s plane (bars) compared to previous studies in primates (red dashed line). Data depicted as mean ± SEM.