Fig. 4: Fourier mode data fitting.
From: The reaction-diffusion basis of animated patterns in eukaryotic flagella
a Comparison of representative experimental (\({\tilde{\gamma }}_{\exp }\), filled circles) and simulated (\({\tilde{\gamma }}_{{{{{{{{\rm{sim}}}}}}}}}\), solid lines) Fourier modes of wild-type/mbo2-mutant Chlamydomonas reinhardtii and bull sperm, real and imaginary parts. Inset are the reconstructed fundamental mode shapes and strongly peaked experimental power spectra. b Comparison of experimental and simulated beating patterns corresponding to fitted modes in a, with fitting parameters (μa, η, ζ). The experimental time average shear \({\bar{\gamma }}_{\exp }\) has been added to the wild-type C. reinhardtii and bull sperm waveforms for visualisation, so that \({\bar{\gamma }}_{\exp }\) + \({\tilde{\gamma }}_{{{{{{{{\rm{exp/sim}}}}}}}}}\exp (i{\omega }_{{{{{{{{\rm{exp/sim}}}}}}}}}t)+{{{{{{{\rm{c.c}}}}}}}}\) is shown over one period of oscillation. This is not done for the mbo2-mutant, however, since the beat is approximately symmetric, i.e., \({\bar{\gamma }}_{\exp }\approx 0\).
