Contact Stiffness Provides a Unified Frame of Reference for Understanding the Effects of Extracellular Matrix Mechanics on Cell Behaviors

In interactions between cells and extracellular matrices (ECMs), contact mechanics theory indicates that local ECM deformation depends on both local and non-local forces imposed by cells. In the present study, we investigated the use of a comprehensive variable, contact stiffness (CS), to interpret cell-ECM interactions. CS defines the relationship between the local ECM deformation and the total force from a cell, integrating the effects of individual variables including ECM stiffness, ECM thickness, and cell adhesion area. Through assessments of ECM mechanosensing by human mesenchymal stem cells (hMSCs) under varied CS conditions, we showed that CS scaled well with both yes-associated protein (YAP) activity and the extent of stem cell differentiation. To reveal the cross-scale mechanism underlying mechanosensing, we propose a CS-based motor clutch model, which suggests that various mechanical stimuli affect cells by altering the CS, thus altering the reaction force from the ECM. Using the proposed model, we revealed the contributions of cell architecture evolution to stem cell differentiation and predicted the influence of a non-adjacent ECM layer on cellular mechanosensing. These results demonstrate that the use of CS provides a quantitative predictive framework that allows researchers to address longstanding questions about the effects of ECM mechanics on cell behaviors.