Polymorphism and bistability in adherent cells
arXiv:1209.4004 · doi:10.1039/C3SM27791G
Abstract
The optimal shapes attained by contractile cells on adhesive substrates are determined by the interplay between intracellular forces and adhesion with the extracellular matrix. We model the cell as a contractile film bounded by an elastic cortex and connected to the substrate via elastic links. When the adhesion sites are continuously distributed, optimal cell shape is constrained by the adhesion geometry, with a spread area sensitively dependent on the substrate stiffness and contractile tension. For discrete adhesion sites, equilibrium cell shape is convex at weak contractility, while developing local concavities at intermediate values of contractility. Increasing contractility beyond a critical value, controlled by mechanical and geometrical properties of adhesion, cell boundary undergoes a discontinuous transition to a star-shaped configuration with cusps and protrusions, accompanied by a region of bistability and hysteresis.
6 pages, 4 figures, submitted
References in corpus (10)
- Unfolding the Sulcus
- Scaling of Traction Forces with Size of Cohesive Cell Colonies
- Surface sulci in squeezed soft solids
- Effect of adhesion geometry and rigidity on cellular force distributions
- Force localization in contracting cell layers
- Contractile stresses in cohesive cell layers on finite-thickness substrates
- Scale and Nature of Sulcification Patterns
- Minimal surfaces bounded by elastic lines
- Cylindrical equilibrium shapes of fluid membranes
- Contractile network models for adherent cells