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:<b>1</b>) Data from cells escaping a spheroid ~ gradient assay (GA_data.mat)<b>2</b>) Data from cells migrating individually ~ gradient-free assay (GFA_data.mat)<b>3</b>) 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: <b>TOLERANCE</b>: Tolerance for binning delays together. Two delays will be binned together if they differ in absolute value by less than 10^-TOLERANCE.<b>tracks</b>: trajectories stored in a cell array, one T x n_dim per particle<b>n_dim</b>: dimensionality of the problem<b>space_units</b>: spatial units<b>time_units</b>: time units<b>msd</b>: all mean-squared displacements of the trajectories<b>drift</b>: drift if any<b>spheroid_tracks</b>: all trajectories translated to start in origo (0,0)<b>Rmin</b>: min. displacement to include trajectory (to remove non-motile)<b>migrating_cells</b>: indices of migrating cell, given Rmin<b>limPrct</b>: limit (percent) used for fitting of Fürth’s formula to msd<b>r2fit</b>: R2 value of the individual fits<b>P</b>: persistence time (time units) obtained from fit <b>S</b>: migration speed (space units/time units) obtained from fit<b>delta</b>: bias amplitude (dimensionless)<b>dt</b>: time steps (time units)