Abstract P-27: Computational Modeling of Tubulin Protofilament Relaxation during Rapid Freezing

Dmitrii S. Vinogradov, Evgeniy V. Ulyanov, J. Richard McIntosh, Fazoil I. Ataullakhanov, Nikita B. Gudimchuk

 
International Journal of Biomedicine.2019;9  Suppl_1:S28-S29.
http://dx.doi.org/10.21103/IJBM.9.Suppl_1.P27
Originally published June 29, 2019  

Abstract: 

Background: Over the recent years, there has been a burst of ground-breaking studies, based on cryo-EM. They shed light on various intracellular structures, including microtubules (Alushin et al., 2014; Manka and Moores, 2018). Composed of 13 laterally stacked tubulin protofilaments, microtubules can exist in growth and shortening states, enabling them to search and capture chromosomes in mitosis. In our recent cryo-electron tomography study, we directly examined the shapes of protofilaments at the microtubule tips (McIntosh et al., 2018). We discovered an unexpected feature of tubulin protofilaments: they were highly curved at the tip, but progressively less curved as one moved closer to the microtubule lattice.
Methods: We have hypothesized that the gradient of curvature in protofilaments could be explained by their incomplete relaxation during rapid freezing. To test this idea, here we use Brownian dynamics method (Ermak and McCammon, 1978). Protofilament is described as longitudinally bounded spheres, approximating tubulin monomers that can move only in the plane containing microtubule axis. Cooling rates achieve 106-107 K/s (Dubochet et al., 1988). Water viscosity increases in response to temperature drop according to published data (Dehaoui et al., 2015).
Results: We simulated fast freezing of soft and rigid protofilaments, having flexural stiffness coefficients of 35 and 174 kcal·mol-1rad-2, respectively. At 106 K/s freezing rate both soft and rigid protofilaments had enough time to relax before cryo-immobilization, so that no gradient of curvature was predicted. When cooled at 107 K/s, rigid protofilaments again had enough time to fully relax. However, soft protofilaments displayed a gradient of curvature, very similar to our experimental data. This suggests that in principle fast freezing could cause the gradient of curvature.
Conclusion: Due to fast cooling, configurations of some large biomolecules, captured by cryo-EM, may represent snapshots of their incompletely relaxed states. Thus, additional using Brownian dynamics method can be helpful to correctly interpret cryo-EM data.

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Keywords: 
microtubules • tubulin • cryo-electron microscopy • freezing