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Journal name:
PloS Computational Biology
Mechanical force plays an important role in the physiology of eukaryotic cells whose dominant structural constituent is the
actin cytoskeleton composed mainly of actin and actin crosslinking proteins (ACPs). Thus, knowledge of rheological
properties of actin networks is crucial for understanding the mechanics and processes of cells. We used Brownian dynamics
simulations to study the viscoelasticity of crosslinked actin networks. Two methods were employed, bulk rheology and
segment-tracking rheology, where the former measures the stress in response to an applied shear strain, and the latter
analyzes thermal fluctuations of individual actin segments of the network. It was demonstrated that the storage shear
modulus (G9) increases more by the addition of ACPs that form orthogonal crosslinks than by those that form parallel
bundles. In networks with orthogonal crosslinks, as crosslink density increases, the power law exponent of G9 as a function
of the oscillation frequency decreases from 0.75, which reflects the transverse thermal motion of actin filaments, to near
zero at low frequency. Under increasing prestrain, the network becomes more elastic, and three regimes of behavior are
observed, each dominated by different mechanisms: bending of actin filaments, bending of ACPs, and at the highest
prestrain tested (55%), stretching of actin filaments and ACPs. In the last case, only a small portion of actin filaments
connected via highly stressed ACPs support the strain. We thus introduce the concept of a ‘supportive framework,’ as a
subset of the full network, which is responsible for high elasticity. Notably, entropic effects due to thermal fluctuations
appear to be important only at relatively low prestrains and when the average crosslinking distance is comparable to or
greater than the persistence length of the filament. Taken together, our results suggest that viscoelasticity of the actin
network is attributable to different mechanisms depending on the amount of prestrain.
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Cytoskeletal Dynamics Tags: