Trajectories of migrating U87-MG cancer cells, gradient vs. gradient free

This data set includes for different set of trajectories from invading U87-MG cells:1) Data from cells escaping a spheroid ~ gradient assay (GA_data.mat)2) Data from cells migrating individually ~ gradient-free assay (GFA_data.mat)3) Simulation of cells escaping a spheroid ~ biased persistent random walk (GFA_sim.mat)4) Data from cells migrating individually ~ persistent random walk (GA_sim.mat) Data structures are saved as mat-files ready for the @msdanalyzer matlab package (see reference below) or https://github.com/tinevez/msdanalyzer. The data objects have the following properties: TOLERANCE: Tolerance for binning delays together. Two delays will be binned together if they differ in absolute value by less than 10^-TOLERANCE.tracks: trajectories stored in a cell array, one T x n_dim per particlen_dim: dimensionality of the problemspace_units: spatial unitstime_units: time unitsmsd: all mean-squared displacements of the trajectoriesdrift: drift if anyspheroid_tracks: all trajectories translated to start in origo (0,0)Rmin: min. displacement to include trajectory (to remove non-motile)migrating_cells: indices of migrating cell, given RminlimPrct: limit (percent) used for fitting of Fürth’s formula to msdr2fit: R2 value of the individual fitsP: persistence time (time units) obtained from fit S: migration speed (space units/time units) obtained from fitdelta: bias amplitude (dimensionless)dt: time steps (time units)