Matlab code for example for five-step wavelet analysis (GaMoSEC) of rhythmic dynamics, example from Yeast time series

CODE: Herein, the time series data were consecutively analyzed by the five types of transformations, coined GaMoSEC, an acronym describing the methodology used (i.e., <strong>Ga</strong>ussian, <strong>Mo</strong>rlet, <strong>S</strong>ynchrosqueezing, <strong>E</strong>mpirical Wavelet Decomposition, and Wavelet<strong> C</strong>oherence). <br> EWT was made available thanks to Jerome Gilless. refer to - J.Gilles, "Empirical wavelet transform" to appear in IEEE Trans. Signal Processing, Vol.61, No.16, 3999--4010, 2013. - J.Gilles, G.Tran, S.Osher "2D Empirical transforms. Wavelets, Ridgelets and Curvelets Revisited", SIAM Journal on Imaging Sciences, Vol.7, No.1, 157--186, 2014. - J.Gilles, K. Heal, "A parameterless scale-space approach to find meaningful modes in histograms - Application to image and spectrum segmentation", International Journal of Wavelets, Multiresolution and Information Processing, Vol.12, No.6, 1450044-1--1450044-17, 2014. TIME SERIES: An autonomously oscillating culture of <em>S. cerevisiae</em> under constant environmental conditions (temperature, illumination, pH) was monitored by membrane-inlet mass spectrometry. Data were collected every 12 s at m/z = 32, 34, 40 and 44 corresponding to oxygen, H2S, argon and carbon dioxide. Argon m/z = 40 was used to correct for long-term drift in the instrument's response. Spontaneous, synchronized oscillations in a contiguous layer of <em>S. cerevisiae</em> cells loaded with 2 µM MitoSox (Invitrogen-Molecular Probes, Eugene, OR) incubated at 30°C with aeration of the perfusion buffer, were monitored by two-photon scanning laser microscopy. Yeasts were attached to a coverslip which had been coated with poly-L-lysine with unrestricted access to atmospheric oxygen on the stage of a Nikon E600FN upright microscope which was maintained at 30°C. <br> Analysis was presented in Kembro et al (2023) A dynamically coherent pattern of rhythms that matches between distant species across the evolutionary scale. Sci Rep. https://doi.org/10.1038/s41598-023-32286-0 <br>