On hyperelastic stress-strain law of F-actin bundles

Parallel F-actin bundles are a class of organized semiflexible polymers that play a critical role in cell mechanics, including cell adhesion, cell spreading, cell migration, mitosis and intracellular transport. Here we develop an analytical model of hyperelastic behaviors of an F-actin bundle by considering a wormlike chain confined in a harmonic potential. Closed form solutions are obtained for the axial stress—strain relation of an F-actin bundle under stretch.