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. Author manuscript; available in PMC: 2019 Jan 23.
Published in final edited form as: Nat Phys. 2017 Aug 7;13(12):1221–1226. doi: 10.1038/nphys4219

FIG. 3.

FIG. 3

Mechanical properties of an ATN. (A) Cartoon of an isogonal ‘breathing mode’ of a cell in a tension net. (B) Because ATN equilibrium is a manifold rather than a point, after a transient perturbation the system does not necessarily return to the same state, resulting in an ‘isogonal’ transformation. (C) Amplitude and (D) phase of the longitudinal strain (as a function of position) in response to periodic uniaxial forcing TB cosωt applied at the boundaries (κ = 10−2 and = 10−4). As the frequency ω decreases below the phase shifts from π/2 to 0 indicating crossover from viscous fluid behavior to an elastic solid. This contrasts with the conventional Maxwellian viscoelasticity crossover towards elasticity with ω increasing above κ (see SI for details).