Rate limit of protein elastic response is tether dependent

Ronen Berkovich, Rodolfo I. Hermans, Ionel Popa, Guillaume Stirnemann, Sergi Garcia-Manyes, Bruce J. Berne, and Julio M. Fernandez

The elastic restoring force of tissues must be able to operate over the very wide range of loading rates experienced by living organisms. It is surprising that even the fastest events involving animal muscle tissues do not surpass a few hundred hertz. We propose that this limit is set in part by the elastic dynamics of tethered proteins extending and relaxing under a changing load. Here we study the elastic dynamics of tethered proteins using a fast force spectrometer with sub-millisecond time resolution, combined with Brownian and Molecular Dynamics simulations. We show that the act of tethering a polypeptide to an object, an inseparable part of protein elasticity in vivo and in experimental setups, greatly reduces the attempt frequency with which the protein samples its free energy. Indeed, our data shows that a tethered polypeptide can traverse its free-energy landscape with a surprisingly low effective diffusion coefficient D_eff ∼ 1,200 nm²/s. By contrast, our Molecular Dynamics simulations show that diffusion of an isolated protein under force occurs at D_eff ∼ 10⁸ nm²/s. This discrepancy is attributed to the drag force caused by the tethering object. From the physiological time scales of tissue elasticity, we calculate that tethered elastic proteins equilibrate in vivo withD_eff ∼ 10⁴–10⁶ nm²/s which is two to four orders magnitude smaller than the values measured for untethered proteins in bulk.

DOI

Journal: Proceedings of the National Academy of Sciences