Tuning cell motility via cell tension with a mechanochemical cell migration model

Cell migration is orchestrated by a complicated mechanochemical system. However, few cell migration models take account of the coupling between a biochemical network and mechanical factors. Here, we construct a mechanochemical cell migration model to study the cell tension effect on cell migration. Our model incorporates the interactions between Rac-GTP, Rac-GDP, F-actin, myosin, and cell tension, and it is based on phase field approach hence very convenient in describing the cell shape change. This model captures common features of cell polarization, cell shape change, and cell migration modes. It shows cell tension inhibits migration ability monotonically when cells are applied with persistent external stimuli. On the other hand, if random internal noise is significant, the regulation of cell tension exerts a non-monotonic effect on cell migration. As the elevation of cell tension impedes the formation of multiple protrusions hence enhances the streamline position of the cell body. Therefore the migration ability could be maximized at intermediate cell tension under random internal noise. These model predictions are consistent with our singlecell experiments and other experimental results. Statement of significanceCell migration plays a vital role in many biological processes such as tumor metastasis. It is a complicated process regulated by dynamic coupling between the biochemical network and mechanical forces. However, few cell migration models take account of both factors. Here, we construct a mechanochemical cell migration model to study how cell migration is regulated by cell tension. Our model predicts that cell tension not only inhibits cell movement under persistent external stimuli but also prompts cell migration under random internal noise when cell tension is low. Therefore an optimized cell tension could maximize the migration ability under random internal noise. We further confirmed these model predictions are consistent with our single-cell experiments and other published experimental results.