Criticality in Cell Adhesion

In this chapter we apply the Ising model to describe statics and kinetics of cell adhesion. We illuminate many-body effects underlying structure, formation, dissolution cellular adhesion domains in presence absence forces. consider mixed Glauber-Kawasaki dynamics a two-dimensional nearest-neighbor interacting diffusing bonds with intrinsic binding-affinity under action shared pulling or pushing force. Accurate analytical results are obtained by employing BG approximation for thermodynamics clusters any size, including thermodynamic limit. A new kind dynamical phase transition is uncovered—the mean formation times per bond change discontinuously respect bond-coupling parameter. At respective critical points cluster fastest, while statistically dominant path undergoes qualitative change. context reflects first-order discontinuity magnetization-reversal time. Our provide potential explanation mechanical regulation adhesion, suggest that quasi-static kinetic response changes membrane stiffness applied forces largest near statical point, respectively. Part has been published Physical Review X terms Creative Commons Attribution 4.0 International license [1]. Analytical MF omitted from referred [1] Sect. 2.10 .