On 2017 Jun 14, L David Sibley commented:
We feel it is worth briefly reviewing the concept of the critical concentration (Cc), and the properties of nucleation-dependent actin polymerization, since there seems to be some misconception about these terms as they are used in this paper Periz J, 2017.
Polymerization assays using muscle or yeast actin clearly show that these actins undergo nucleation dependent assembly. Nucleation is a cooperative assembly process in which monomers of actin (i.e. G-actin) form small, unstable oligomers that readily dissociate. The Cc is the concentration of free actin above which a stable nucleus is formed and the filament elongation begins, a process that is more thermodynamically favorable than the nucleation step. A key feature of this nucleation-elongation mechanism is that for total actin concentrations above the Cc, the concentration of free G-actin remains fixed at the Cc, and all of the additional actin, over and above the Cc, is polymerized into filaments (i.e. F-actin). In contrast, an isodesmic polymerization process is not cooperative, and all steps (formation of dimer, trimer, etc.,) occur with the same binding and rate constants. With isodesmic polymerization, the monomer concentration (G-actin concentration) does not display a fixed limit; instead, as total actin concentration increased, the G-actin concentration continues to increase. Another key difference with isodesmic polymerization is that polymer forms at all concentrations of total actin (i.e. there is no concept of a critical concentration, Cc, that must be exceeded in order to achieve polymer formation).
The inherent differences between nucleation-elongation and isodesmic polymerization give rise to distinct kinetic and thermodynamic signatures in experiments. Because the nucleation process is unfavorable and cooperative, the time course of nucleation-elongation polymerization shows a characteristic lag phase, with a relatively low rate of initial growth, before the favorable elongation phase occurs. In contrast, isodesmic polymerization shows no lag phase, but exhibits linear growth vs. time from the start at time zero. The thermodynamic differences are manifested in experiments examining the fractions of polymer (F-actin) and monomer (G-actin) at steady state. Since nucleation-elongation has a critical concentration (Cc), the monomer concentration plateaus at this value and remains flat as the total protein concentration is increased. Polymer concentration is zero until the total concentration exceeds the critical concentration, and above that point, all the additional protein exists as polymer. In the isodesmic model, in stark contrast, the monomer concentration continues to increase and polymer form at all concentrations of total protein. These two distinct behaviors are illustrated in Figure 1 from Miraldi ER, 2008.
Our previous study on yeast and Toxoplasma actin Skillman KM, 2013 shows sedimentation assays that are closely matched by the theoretical results discussed above. In our study yeast actin (ScACT, Figure 2c) displays the saturation behavior characteristic of a nucleation-elongation mechanism; however, for TgACT1 (Figure 2a), the monomer concentration (red) continues to increase as total actin increases. In addition, the inset to Figure 2a shows that filaments (blue) are present at the lowest concentrations of total actin, and also does not exhibit a lag Skillman KM, 2013. Based on these features, it is unequivocal that Toxoplasma actin follows an isodemic polymerization process, with no evidence of cooperativity.
Several of the comments in the response may lead the reader to confound polymerization behavior in vitro with that observed fro actin polymerization in vivo in cells. The question of whether actin polymerization occurs by a nucleation-elongation mechanism or by an isodesmic mechanism is one that can only be determined in vitro using a solution of pure actin, because this is a property of the actin molecule itself, irrespective of other components. While the in vitro polymerization behavior is relevant as the template upon which various actin-binding proteins act, the polymerization mechanism for the actin alone cannot be inferred from in vivo observations due to the presence of actin-interacting proteins.
The authors state that the presence of “nucleation centers” in the parasite is not easy to consolidate with the isodesmic model Periz J, 2017. We disagree completely and emphatically. We agree that there are “centers” of accumulation of F-actin in the cell, these foci should not be referred to as “nucleation” centers in this case, because the term “nucleation” has a specific meaning in regard to the polymerization mechanism. F-actin may accumulate in these foci over time as a result of any one or more of several dynamic processes – new filament formation, elongation of short filaments, decreased turnover, or clustering of pre-existing filaments. The result is interesting and important; however, the result cannot be used to infer a polymerization mechanism.
The authors imply that these centers of F-actin correspond with sites of action of formins Periz J, 2017, which are capable of binding to actin monomers or actin filaments and thereby promoting actin polymerization. With vertebrate or yeast actin, which has a nucleation-elongation mechanism, formins do accelerate the nucleation process, and they also promote the elongation process. In the case of the isodesmic model for actin polymerization, formins would still function to promote polymerization, by interacting with actin filaments and actin monomers. Indeed, the short filaments that formed with the isodesmic mechanism are ideal templates for elongation from the barbed end (which formins enhance). We have previously shown that when TgACT1 polymerized in the presence of formins assembles into clusters of intermediate sized filaments that resemble the in vivo centers Skillman KM, 2012. Hence, as we commented previously, the isodesmic mechanism is entirely consistent with the observed in vivo structures labeled by the chromobodies.
The authors also suggest that evidence of a nucleation-elongation mechanism, with a critical concentration, is provided by the observation that actin filaments seen by chromobodies in vivo do not form in a conditional knock down of TgACT1 Periz J, 2017. In our view, this conclusion is based on incorrectly using observations of in vivo dynamics to infer the intrinsic polymerization mechanism of pure actin protein. Higher total actin concentration leads to higher actin filament concentration under both models, with control provided by the various actin-binding proteins of the cell and their relative ability to drive filament formation and turnover in vivo. However, dependence on total actin concentration is not a reflection of the intrinsic polymerization mechanism. The polymerization mechanism of TgACT1, whether isodesmic or nucleation-elongation, is unlikely to be the critical determinant of actin dynamics in vitro; instead, actin monomers and filaments are substrates for numerous actin-binding proteins that regulation filament elongation, filament turnover, and G-actin sequestration, that is, the whole of actin cytoskeleton dynamics.
Although we agree that much more study is need to unlock the molecular basis of actin polymerization and dynamics in apicomplexans, it will be important to distinguish between properties that are intrinsic to the polymerization process as it occurs in vitro, vs. interactions with proteins that modulate actin dynamics in vivo. The challenge, as has been the case in better studied systems Pollard TD, 2000, will be to integrate both sets of findings into a cohesive model of actin regulation and function in apicomplexans.
The above statement reflect the joint opinions of:
John Cooper (Washington University), Dave Sept (University of Michigan) and David Sibley (Washington University).
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