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. 2022 Nov 8;11(22):3534. doi: 10.3390/cells11223534

Figure 3.

Figure 3

Statistical analysis of cell migration and AR-1 model evaluation. (a–c) Simulated trajectories using the AR-1 model with time-dependent parameters (activity and persistence) based on single-cell parameter changes estimated from experimental data. (d–f) Mean-square displacements (population-averaged) of tumor-infiltrating lymphocytes treated with anti-PD-1 or anti-CTLA-4 antibodies or a combination thereof (red curves). The MSDs show sub-diffusive behavior with an approximate power-law exponent of 0.83 for PD-1, 0.93 for CTLA-4, and 0.98 for combined inhibition. Blue curves represent the MSDs of simulated trajectories for each experiment. The intercepts of the curves indicate the highest value of the cell diffusion coefficient in the combined treatment (D = 7.3). The AR-1 model with changing parameters effectively reproduces the experimental MSDs obtained in each condition. Insets: MSD curves for individual cells. The last steps of the migration trajectories were removed because of error amplification in MSD calculations.