Measurement of individual cell migration parameters for human tissue cells

The motility of normal and cancer cells in response to the combined influence of the substrate rigidity and anisotropic microstructure

“…This hypothesis, introduced as a generalization of Brownian motion, is indeed often used to describe individual cell motion occurring at well-defined finite speed when persistence or inertia effects are not negligible [24].…”

“…Practically, the squared [24]. Application of this iterative procedure leads to the following expression of the mean-squared displacement:…”

“…Different theoretical approaches have shown that the mean squared displacement can be characterized by only two parameters, the mean speed V and the persistence time P according to the analytical model [24]. (5) where the persistence time P is a measure of the average time during which the cell maintains a given direction.…”

An integrated approach to the characterization of cell movement

“…While the more specific literature on cell movement is still relatively incipient, it is often interesting to consider other types of approaches to biological movement, such as dictyostelium slug (20) and ant navigation (21). Most of the measurements considered in such works, except for the persistence time and root-mean-squared velocity features (22)(23)(24)(25), are relatively simple and often restricted to specific aspects of cell movement and interaction, with little integration between the proposed approaches. The directional persistence time (P) and root-mean-squared speed (S), covered in detail by Dickinson and Tranquillo (22), Zygourakis (23), Ware and colleagues (24), and DiMilla and colleagues (25), are interesting features based on relatively sophisticated statistical mechanics concepts that, roughly speaking, are aimed at estimating the tendency of the cell to conserve its movement.…”

“…Most of the measurements considered in such works, except for the persistence time and root-mean-squared velocity features (22)(23)(24)(25), are relatively simple and often restricted to specific aspects of cell movement and interaction, with little integration between the proposed approaches. The directional persistence time (P) and root-mean-squared speed (S), covered in detail by Dickinson and Tranquillo (22), Zygourakis (23), Ware and colleagues (24), and DiMilla and colleagues (25), are interesting features based on relatively sophisticated statistical mechanics concepts that, roughly speaking, are aimed at estimating the tendency of the cell to conserve its movement. The present work describes, in a systematic and integrated fashion, alternative measurements of cell displacement that although relatively simple and intuitive are still capable of quantifying in an objective fashion several aspects of cell displacement and interaction.…”