Flagellar shape data of chlamydomonas reinhardtii swimming in a Newtonian fluid and a viscocelastic fluid respectively

Chlamydomonas reinhardtii demonstrates near-planar strokes when swimming. We study two strokes observed in a Newtonian (nt in file names) and viscoelastic (ve in file names) fluid respectively. The raw experimental data for the flagellar shape are stored in ntExperiment*Component.csv and veExperiment*Component.csv, where * is replaced by x or y. Each row corresponds to the shape of a flagellum at an instantaneous moment, and each column corresponds to a fixed point on the flagellum within one period cycle. length unit: micronmeter; time step: 0.0001/6 second. The Newtonian stroke has a period of 0.0199 second, and the viscoelastic stroke has a period of 0.0205 second.<br>We assume that each component (x or y) of an observed stroke shape follows a form of a traveling wave as a function of time and arc length. Mean, amplitude and phase values are obtained by performing Fourier transforms to the raw experimental data, and are stored in ntFit.xlsx and veFit.xlsx for each stroke respectively. We then perform a cubic spline interpolation with the not-a-knot condition to get the mean, amplitude and phase functions of each traveling wave.