Fig. 6: Fitted motor parameters reproduce bull sperm swimming motion.
From: The reaction-diffusion basis of animated patterns in eukaryotic flagella
Qualitatively similar distance travelled per beat, amplitude, frequency, and shape of the head trajectories of (a) simulated bull sperm from the full flagellar chemoEH system at the fitted motor parameters (μa, η, ζ) derived from the simplified RD system, as given in Table 1, and Sp = 1 (not fitted), and (b) image captured from the Supplementary Video 1 in ref. 47 (adapted with permission from ref. 47, Copyright 2020 Royal Society), from which the bull sperm data used for fitting was extracted. Note that the empirical average \({\bar{\gamma }}_{\exp }\) of the beat, leading to the curved trajectory, was not included in (a) to highlight the true contribution of the emergent symmetric (oscillatory) waveform mode on the swimming motion, as predicted from the full chemoEH system.
