Cross-linker dynamics determine the mechanical properties of actin gels

Abstract

To evaluate the contributions of cross-linker dynamics and polymer deformation to the frequency-dependent stiffness of actin filament gels, we compared the rheological properties of actin gels with three types of cross-linkers: a weak one, Acanthamoeba alpha-actinin (dissociation rate constant 5.2 s-1, association rate constant 1.1 x 10(6) M-1 s-1); a strong one, chicken smooth muscle alpha-actinin (dissociation rate constant 0.66 s-1, association rate constant 1.20 x 10(6) M-1 s-1); and an extremely strong one, biotin/avidin (dissociation rate constant approximately zero). The biotin/avidin cross-linked gel, whose behavior is determined by polymer bending alone, behaves like a solid and shows no frequency dependence. The amoeba alpha-actinin cross-linked gel behaves like a viscoelastic fluid, and the frequency dependence of the stiffness can be explained by a mathematical model for dynamically cross-linked gels. The stiffness of the chicken alpha-actinin cross-linked gel is independent of frequency, and has viscoelastic properties intermediate between the two. The two alpha-actinins have similar association rate constants for binding to actin filaments, consistent with a diffusion-limited reaction. Rigid cross-links make the gel stiff, but make it elastic without the ability to deform permanently. Dynamically cross-linked actin filaments should allow the cell to react passively to various outside forces without any sort of signaling. Slower, signal-mediated pathways, such as severing filaments or changing the affinity of cross-linkers, could alter the nature of these passive reactions.