Components within physiological pupillary unrest have been shown to be correlated with respiration. A convolution technique has shown that a component of the unrest can be found to be correlated with respiration as the respiration is voluntarily controlled in rhythm to auditory cues over a range of respiration rates from 0.10 to 1.0 Hz. The components account for only a portion of the unrest, on the order of 0.10 mm of fluctuation in pupil diameter per cycle.
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DAUM et al. (1981) studied this question.