Abstract
The initial binding of tropomyosin onto actin filaments and then its polymerization into continuous cables on the filament surface must be precisely tuned to overall thin-filament structure, function, and performance. Low-affinity interaction of tropomyosin with actin has to be sufficiently strong to localize the tropomyosin on actin, yet not so tight that regulatory movement on filaments is curtailed. Likewise, head-to-tail association of tropomyosin molecules must be favorable enough to promote tropomyosin cable formation but not so tenacious that polymerization precedes filament binding. Arguably, little molecular detail on early tropomyosin binding steps has been revealed since Wegner’s seminal studies on filament assembly almost 40 years ago. Thus, interpretation of mutation-based actin-tropomyosin binding anomalies leading to cardiomyopathies cannot be described fully. In vitro, tropomyosin binding is masked by explosive tropomyosin polymerization once cable formation is initiated on actin filaments. In contrast, in silico analysis, characterizing molecular dynamics simulations of single wild-type and mutant tropomyosin molecules on F-actin, is not complicated by tropomyosin polymerization at all. In fact, molecular dynamics performed here demonstrates that a midpiece tropomyosin domain is essential for normal actin-tropomyosin interaction and that this interaction is strictly conserved in a number of tropomyosin mutant species. Elsewhere along these mutant molecules, twisting and bending corrupts the tropomyosin superhelices as they “lose their grip” on F-actin. We propose that residual interactions displayed by these mutant tropomyosin structures with actin mimic ones that occur in early stages of thin-filament generation, as if the mutants are recapitulating the assembly process but in reverse. We conclude therefore that an initial binding step in tropomyosin assembly onto actin involves interaction of the essential centrally located domain.
Significance
Contacts between filamentous actin and tropomyosin facilitate thin-filament assembly, but plausible assembly mechanisms remain uncertain. We demonstrate that a single, centrally located tropomyosin domain is essential for normal actin-tropomyosin interaction and that this interaction is strictly conserved. Our premise is that this localized association occurs at the earliest stages of thin-filament generation. We expect that recognition of our work will lead to a more fundamental understanding of thin-filament assembly processes, ones that may fail in various cardiomyopathies and skeletal muscle diseases. Thus, we also expect that further consideration of our analysis will support new mechanistic paradigms for interpreting the role of tropomyosin in actin filament function and dysfunction.
Introduction
Coiled-coil tropomyosin is a modular protein consisting of seven pseudorepeats that contact seven successive actin subunits along thin filaments (1, 2). Reversible azimuthal repositioning of tropomyosin on actin under the influence of troponin, myosin, and Ca2+ is well documented and known to be instrumental in regulating muscle contraction and relaxation (3, 4, 5, 6, 7, 8, 9, 10). Inherent to this process is a tradeoff between tropomyosin’s binding specificity and its binding strength once linked to actin (11). In fact, single tropomyosin coiled-coil dimers interact with actin filaments extremely poorly, with dissociation constants (Kds) estimated to be in the millimolar range (12). It follows that tropomyosin only associates effectively on actin filaments once trapped head to tail with neighboring dimers as part of a polymerizing chain-like cable (2, 11). The growing cable then becomes confined topologically over the succeeding actin subunit substrate and biased to one azimuthal position or another by electrostatic interactions (13, 14).
Structural analysis combined with proteomic and/or bioinformatics approaches have provided very plausible atomic models of tropomyosin bound to actin (8, 15, 16, 17, 18, 19, 20, 21, 22). However, steps in the assembly of the filament, including initial contacts made between actin and tropomyosin, remain unclear. Most likely, the apparent binding constants frequently reported for tropomyosin and F-actin—based, for example, on cosedimentation—largely reflect nucleation and polymerization of tropomyosin into nascent cables on the actin filament substrate and not a true Kd of the tropomyosin molecule to F-actin. In turn, fluorescence light microscopy provides a means of following the polymerization process temporally but not at high resolution (23, 24, 25). Thus, characterizing the association of single tropomyosin molecules onto F-actin at a residue-residue level is challenging.
In principle, computationally directed steered docking of tropomyosin onto the F-actin surface can offer clues into the actin-tropomyosin assembly process (26). However, the number of choices involved in steering conformationally variable tropomyosin onto an actin model, to say nothing of scoring respective pathways, seemingly is limitless. Because a simple seven-actin-one-tropomyosin unit surrounded by associated water molecules contains up to 900,000 atoms, a thorough search of conformational space for an initial contact complex would be computationally impractical. Here, we describe a different and less daunting approach to computing likely early steps in the assembly of tropomyosin on actin filaments.
In the short story “All Rivers” by Amos Oz (27), the narrator suggests that “Memory distorts everything. Memory doesn’t move forward; it moves backward, from the end to the beginning.” Can our own experiments designed to move forward, from manipulation to effect and ideally to logical interpretation, also reveal a process lost in time that at present cannot be proven directly? In experiments performed in silico, we evaluate effects of selected point mutations on tropomyosin interaction with F-actin filaments. After observing the progressive destabilization of mutant tropomyosins bound to actin in molecular dynamics (MD) simulations, we conclude that this interaction process in effect recounts “lost” time by moving backward through the assembly pathway, memorializing initial events. The binding intermediates thus revealed provide a window to define likely initial events in the mechanism of thin-filament assembly.
We have previously carried out MD simulations on actin-tropomyosin complexes consisting of single dimeric αα-tropomyosin positioned on an 18-subunit actin filament segment and modeled as in Li et al. (19, 28). Periodic local electrostatic interactions were determined to be sufficiently well arranged to maintain tropomyosin on the filament at a ∼40 Å radius to the central filament axis. During MD, characteristic modulation of tropomyosin twist optimizes side-chain interactions with F-actin (29, 30, 31). In particular, this twisting aligns tropomyosin glutamate residues 139 and 142 very closely with oppositely charged Lys326, Lys328, and Arg147 on actin (29, 30). Coiled-coil twisting, midway along tropomyosin, relies on the presence of a strictly conserved and anomalously charged Asp137, located on tropomyosin in a position normally occupied by a nonpolar amino acid along an otherwise core hydrophobic stripe (29, 30) (Fig. 1).
During MD, the association and position of tropomyosin on F-actin equilibrates quickly and is remarkably stable. No evidence suggests any local or global dissociation of any part of tropomyosin from actin as might, over time, be expected in vitro for a single tropomyosin coiled coil on F-actin (19). In these simulations, only the N- and C-terminal tips of tropomyosin lose intimate association with the actin surface, variably flailing around as if in search of a partner to make head-to-tail contact and participate in cable formation (19). Thus, over the 30–100 ns timescale of MD performed, no obvious information can be gleaned directly about any reversion to initial binding interactions. Hence, as we describe, no meaningful inferences emerge about the assembly process itself. However, in marked contrast, we show here that MD simulations of tropomyosin mutants linked to F-actin show strikingly different behavior. In many cases, the models progress from a canonically docked tropomyosin conformation on F-actin to converge on a poorly interacting actin-tropomyosin configuration, still distinguished by a common residual “core” subset of interacting residues on F-actin and tropomyosin. Barring significant hysteresis between the assembly and disassembly of tropomyosin on actin, we propose that these mutant tropomyosin structures mimic ones in early stages of thin-filament generation, as if the mutants are recapitulating the assembly process but in reverse. We regard the interactions that persist akin to intermediates assumed before the tropomyosin polymerization process occurred.
Materials and Methods
MD simulations were initiated on models built from atomic-resolution structures (19, 28). The MD performed here were designed to equilibrate single tropomyosin coiled-coil dimers on F-actin and thus emulate the behavior of the first tropomyosin that binds actin during thin filament assembly (19). We therefore did not model tropomyosin as a continuous cable, using periodic boundaries or other approaches, as in our most recent work (32, 33). We placed the Holmes-Lorenz canonical dimer model of tropomyosin (34), with side-chain conformations defined as previously described (28, 35), onto the surface of an F-actin model, locating the single tropomyosin over its energy-minimized position on F-actin, i.e., close to the blocked, B-state position, as defined in Li et al. (19). Amino-acid substitutions to characterize mutant tropomyosins were made in VMD (36), and the new homology structures were energy minimized, as previously (19). MD was run on these structures in explicit water for a minimum of 30 ns at 300 K and 1 atm using the program NAMD (37), as previously detailed (19). The average structures throughout MD were calculated in CHARMM (38). Local coiled-coil twisting and twist deviations from canonical models were measured using the program TWISTER (39) and VMD (36), as described in Lehman et al. (29). The observed twisting pattern for each particular tropomyosin variant equilibrated within 5–10 ns, but MD was performed at least 20–25 ns longer to validate this. To measure the tropomyosin position and its variance on the F-actin surface, we translated the Cartesian coordinates of the center of mass of each tropomyosin pseudorepeat to cylindrical coordinates. An average over the center-of-mass coordinates of seven tropomyosin pseudorepeats gives the average position of tropomyosin on F-actin in each MD frame. Azimuthal positioning and its variance stabilized within 10 ns. Molecular graphics was performed using VMD (36) and CHIMERA (40). Quantitative analyses of interaction energies during atomistic simulations were computed in CHARMM (38).
Results
Partial dissociation of D137L tropomyosin from F-actin
Coiled-coil dimers, like tropomyosin, are built from two amphipathic α-helices. In textbook examples, large nonpolar amino acids (leucine, isoleucine, and valine) occupy every first (“a-position”) and fourth (“d-position”) residue in a “heptad” pattern of seven residues repeating over and over along the two helical chains (Fig. 1, A and B). Hydrophobic bands formed by complementary a- and d-position residues in each of the chains zipper the two helices together into a coiled coil. However, coiled-coiled tropomyosins contain an anomalous polar aspartate-137 at a d-position and glutamate-218 at an a-position present along their otherwise hydrophobic stripe. These residues are conserved in tropomyosin variants across the animal kingdom and therefore are not phylogenetic flukes and, by definition, not sequence aberrations. On the contrary, numerous studies of D137 show its effects on thin-filament activity (41, 42, 43, 44, 45), as well as its role in localized tropomyosin twisting and superhelical bending for tropomyosin to fit properly on the actin filament surface (29, 30).
In this study, carried out in silico by MD, the effect of substituting leucine for tropomyosin’s d-position Asp137 on tropomyosin-F-actin interaction was examined. Homology models containing Leu137 tropomyosin but otherwise “canonically” configured actin-tropomyosin were first built as previously described (see Materials and Methods). Thus, D137L and wild-type tropomyosin were wrapped around F-actin as perfect superhelices tracing the F-actin helix at the very start of MD, as in Li et al. (19). Configurations of D137L and wild-type tropomyosin dimers on actin were then compared during the simulations (Fig. 2, A and B). Fitting averaged structures of wild-type and mutant filaments to each other throughout MD by simply matching the actin subunits of the trajectories shows that the tropomyosin pseudorepeat 4 region from each tropomyosin construct is directly superimposable on the other (Fig. 2, C and F). This is particularly true for the helical chain facing actin (Fig. 2 C). Not only does the pseudorepeat 4 helix match, but individual side chains of residues Glu139 and Glu142 along this domain contact oppositely charged partners on the actin surface with virtually identical average orientations (Fig. 2, G–I). However, this equivalency is not an invariant feature for the rest of the coiled coil. Notably, the configurations of the wild-type and the mutant tropomyosin chains diverge both at local and global levels distal to pseudorepeat 4, and these deviations become increasingly obvious toward the tropomyosin C-terminus and in the direction of the N-terminus (Fig. 2, A–F). Hence, except for the region near to E139 and E142, including D137L, the mutation causes tropomyosin to reconfigure, resulting in diminished electrostatic interaction between tropomyosin and actin (Table 1). It follows that pseudorepeat 4 may be largely responsible for maintaining residual F-actin-tropomyosin interaction in the mutant and preventing dissociation of the dimer from F-actin during MD. Quantification of the azimuthal positioning of D137L and wild-type tropomyosin on actin shows little mutation-induced flexural variance in the tropomyosin superhelices (Table 1). However, corresponding comparison indicates aberrant twisting behavior of the mutant on actin in regions abutting residue 137 (Fig. 3). Thus, normal interaction between the D137L tropomyosin and F-actin is highly localized despite or at the expense of mutation-induced twisting deformation of the remainder of the coiled coil. If indeed the ends of tropomyosin, even in the wild type, bind weakest to actin, then a consequence of structural disruptions observed in the mutant exaggerates this deficit, leading to deficient assembly.
Table 1.
Tropomyosin Sample | Average Tropomyosin Position and Its Azimuthal Deviation on F-Actin (Relative to Wild Type) (Å) | Average Coulombic Interaction Energy between Actin and Tropomyosin (kcal/mol) | Average vdW Interaction Energy between Actin and Tropomyosin (kcal/mol) |
---|---|---|---|
Wild type | 0 ± 0.77 | −3160 | −52 |
D137L | −1.8 ± 0.50 | −2727 | −76 |
E180G | +1.1 ± 0.75 | −2724 | −58 |
D175N | +2.1 ± 0.37 | −2410 | −48 |
D84N | +0.8 ± 0.90 | −2260 | −40 |
E40K | −0.9 ± 0.50 | −3450 | −107 |
Note the small change in azimuthal position of tropomyosin and its variance in each case, suggesting limited tropomyosin flexural flexibility once linked to F-actin. Compared to the wild type, the diminished negative interaction energies of D137L, E180G, D175N, and D84N are consistent with lower actin-tropomyosin affinity, whereas the more negative value for E40K suggests higher affinity. vdW, van der Waals.
Partial dissociation of tropomyosin with HCM-linked mutations from F-actin
The distinctive patterns attributable to D137L tropomyosin-actin binding noted above may be traits specific to the widely studied but non-native tropomyosin construct and therefore of relatively narrow academic interest. However, this does not appear to be the case, given the description below of two well-characterized, naturally occurring tropomyosin mutations, E180G and D175N (Fig. 1 B). The mutants have been linked to the development of HCMs (46) and display functional behavior in vitro similar to that caused by D137L (47, 48, 49, 50). These mutations are located on tropomyosin next to f-position E181 and b-position E177, residues that normally are involved in electrostatic interactions between F-actin and pseudorepeat 5 of tropomyosin. It is not surprising, therefore, that the earlier work showed that the mutants exhibit appreciably reduced apparent affinity for actin and atypical sigmoidal binding isotherms (48).
MD simulations show that the overall superhelical bending outlines of E180G and D175N chains in F-actin-tropomyosin complexes become obviously distorted (Fig. 4, B and C). Overlaying averaged MD trajectories demonstrate that the mutant tropomyosins diverge from the wild type as well as from each other and D137L (Fig. 4, E and F). However, once again, such superposition shows that tropomyosin pseudodomain 4 remains almost perfectly matched to the cognate wild-type molecule in the corresponding actin-tropomyosin complex. In addition, identical Glu139- and Glu142-actin salt-bridge orientations are maintained by the hypertrophic cardiomyopathy (HCM) mutants during MD (Fig. 4, J, K, M, and N). Nevertheless, aberrant bending and twisting over the remainder of the molecules is apparent, particularly for the E180G mutant at the level of the mutation (Fig. 4, B and E), whereas the D175N deviates from the control largely in its N-terminal half (Fig. 4, C and F). Again, quantitation of coiled-coil twisting on F-actin corroborates the molecular graphics (Fig. 3), whereas azimuthal variance is not obviously affected (Table 1). Still, the global alterations in tropomyosin twist patterning likely disrupt overall interactions between actin and mutant tropomyosin in the B-state, resulting in increased Ca2+ activation at low Ca2+ levels (48) and presumably prompting the development of HCM.
Behavior of DCM-linked tropomyosin mutations on F-actin
In principle, an enhanced bias of tropomyosin for the thin filament blocking state should lead to decreased cardiac thin-filament activation, in this case potentially predisposing heart muscle to dilated cardiomyopathy (DCM) (46). For example, the interaction energetics of DCM-linked E40K tropomyosin for F-actin is considerably stronger than that for wild-type tropomyosin (Table 1; also see (51)), whereas the Ca2+ sensitivity of reconstituted filaments containing E40K is lower (32, 52, 53, 54, 55, 56, 57). As expected, the E40K-F-actin complex shows stable interactions during MD and no evidence of localized detachment from F-actin. In fact, MD suggests that this mutant makes as close or even closer side-chain contacts with actin subunits than the wild type does (32) and enhances overtwisting (data not shown).
Contrary to expectation, the DCM-linked D84N mutant tropomyosin (also associated with severe left ventricular noncompaction cardiomyopathy (58, 59)) shows a lower than normal actin affinity and weaker than control interaction energetics with actin (Table 1). The mutation, located on the N-terminal side of the above HCM mutation sites, maps to a tropomyosin β-zone, several heptads removed from the nearest residues likely to bind to actin subunits (Fig. 1 B). Consistent with the energetics calibration, the behavior of the D84N DCM-linked mutant during MD is much like the actin-associated HCM mutants described above. Again, the overall superhelical bending of the mutant on F-actin diverges from controls (as well as from E180G, D175N, and D137L tropomyosins) (Fig. 4, D, G, and H). Still, superposition of averaged D84N trajectories to wild-type filaments shows excellent alignment over pseudodomain 4 (Fig. 4 G). And, once again, Glu139- and Glu142-actin salt bridges are retained in the mutant tropomyosins (Fig. 4 O). Quantifying the mutant’s twisting also demonstrates localized divergence from the control pattern (Fig. 3).
Discussion
The center must hold
Extensive MD simulations have been carried out to characterize and compare actin-tropomyosin filaments containing wild-type and various mutant tropomyosins (19, 22, 29, 30, 43, 60, 61, 62). Our own MD shows that previously unrecognized local twisting of the wild-type tropomyosin optimizes interactions between residues Glu139 and Glu142 in the central pseudorepeat 4 of tropomyosin and residues Lys326, Lys328, and Arg147 on neighboring actin subunits of the thin filament (29, 30). Acidic residues located in the peripheral tropomyosin pseudorepeats, including Asp20, Asp58, Glu62, Glu97, Asp100, Glu104, Glu177, Glu181, Asp219, Glu223, and Asp258 on periods 1–3 and 5–7, also contact oppositely charged Lys326, Lys328, and Arg147 on actin, but often less intimately (29, 30). We now have additionally found that although all the mutant tropomyosins examined in this study maintain close contacts between residues 139 and 142 and actin partners, this appears to occur at the expense of the remaining potential links noted above. In turn, corresponding side-chain realignment in the mutants is accompanied by less favorable overall interaction energy (Table 1), seemingly a product of aberrant coiled-coil twisting and bending in the mutants. (Note the diminished negative interaction energies for the mutants in Table 1.) Still, mutant tropomyosins remain tethered to F-actin during MD by linkages facilitated by pseudorepeat 4 and, to a variable extent, by ones from repeats 5 to 7 flanking the central domain. At the same time, the superhelical topological bias of tropomyosin also favors residual interfacial complementarity.
It is noteworthy that the midregion of tropomyosin is strictly conserved among sarcomeric and somatic cell tropomyosin isoforms. Given that actin isoforms and their tropomyosin binding interface also are largely invariant, it makes sense that the actin-tropomyosin interactions described here are likely to be universally applied by all tropomyosins but not responsible for differentiation between isoform types. In fact, tropomyosin isoform sorting on actin filaments, targeting distinct cellular domains, is defined by unique C- and N-terminal sequences and by not pseudorepeat 4 specialization involving the tropomyosin midpiece (reviewed in (30, 63)).
Early life on the filament aufbau
As mentioned, pathways possible for building low-affinity, conformationally variable, and multivalent tropomyosin onto actin filaments seem limitless. Yet, buried in the protein’s “blueprint,” sequence specificity is designed to overcome this entropic challenge, thereby discounting numerous other initial “choices” during thin-filament assembly.
It appears that tropomyosin preferentially assembles near to the pointed ends of filaments, which contain actin subunits associated with bound ADP (64). (In fact, the F-actin model used in this study includes only ADP-actin subunits.) However, the preference for ADP-actin is not specifically or necessarily restricted to the filament pointed end itself; instead, just close to that end (64). (Nor is the Z-disk a likely nucleation center for tropomyosin binding in striated muscle (65), as might be imagined.) We also note that it is doubtful that major mammalian-type formins fulfill a nucleation function in higher organisms. Unlike such formin involvement in yeast (66), mDia1 and mDia3 formins do not recruit or nucleate mammalian tropomyosin onto thin filaments (67). Therefore, yeast tropomyosin may not be a good model for characterization of more “advanced” tropomyosins. Unlike vertebrate and invertebrate tropomyosins, the yeast variants contain possible coiled-coil sequence interruptions and lack proper alanine clusters (68, 69), whereas tropomyosins found elsewhere are defined by uninterrupted coiled coils and alanine cluster-based curvature (28). Therefore, these studies still call for a guiding principle that describes tropomyosin assembly on actin, one that possibly is intrinsic to filament mechanochemistry per se.
As raised in the work’s Introduction, we contend that tropomyosin favors replicating steps detected in mutation-sponsored filament destabilization taking place during MD but here progressing in reverse. Our premise is that the residual association noted for mutant D137L, E180G, D175N, and D84N mirrors intermediates in tropomyosin assembly on F-actin. Thus, we propose that during the normal assembly process, favorable contacts are initiated between pseudorepeat 4 and F-actin, mimicking those retained by the mutants. These initial, and presumably transient, contacts limit diffusion of the coiled coil away from actin while setting tropomyosin polarity relative to the actin filament axis. We cannot exclude the prospect that differences observed between wild-type and mutant tropomyosins in silico may have an even larger impact in vitro or in cells or, alternatively, a damped effect.
Based on previous work, we know that on average, the superhelical outlines of the C-terminal half of the actin-free tropomyosin molecule approximate those of the F-actin helix (29, 70). Thus, once contact is made by pseudorepeat 4 and F-actin, it is likely that semirigid C-terminal domains of wild-type tropomyosin zipper onto the thin filament surface. This leaves the N-terminal region of tropomyosin poised to capture unbound tropomyosin dimers or similarly linked neighbors on actin, annealing them to the tropomyosin and hence sponsoring growth of a nascent tropomyosin cable on F-actin.
Although tropomyosin end-to-end bonds form readily in solution as dimers and short oligomers (71, 72), actin-free tropomyosin cables are rarely observed in solution (72). Their instability suggests behavior analogous to that of long single-stranded “Einstein polymers” (73). In contrast, interactions between tropomyosin and actin transform the thin-filament complex into a long-range stabilized copolymer. Thus, extended tropomyosin cables form readily by the end-to-end association once present on F-actin while the cables wrap around their thin filament actin partner. Subsequently, the tropomyosin cable then protects the core actin component of thin filaments from depolymerization (74). Finally, our results also indicate that the dynamics of the tropomyosin cable on F-actin cannot be easily characterized by thermal reptation but rather is governed by a taut twist of the superhelix. We propose that our description of thin-filament behavior, based on realistic full atomistic models of actin-tropomyosin, reasonably approximates events occurring in vitro. We expect that our work will support new mechanistic paradigms for interpreting the role of tropomyosin in actin filament function and dysfunction.
Author Contributions
W.L. thought of the general approach taken and formulated the principal concepts presented. M.J.R. carried out the MD simulation and data computation. J.R.M. and S.G.C. contributed to ongoing discussion of the data and the manuscript together with W.L. and M.J.R. W.L. and M.J.R analyzed the data. W.L. wrote the manuscript. W.L. prepared the molecular graphics and M.J.R. the tables and graphs.
Acknowledgments
This work was funded by National Institutes of Health grants R01HL036153 (to W.L.), R01HL123774 (to J.R.M. and W.L.), and R01HL136590 (to S.G.C.). Computational work was carried out on the computational resources provided by the Massachusetts Green High-Performance Computing Center. S.G.C. has equity ownership in Propria LLC, a company that develops technology for producing engineered heart tissue from induced pluripotent stem-cell-derived cardiomyocytes.
Editor: Michael Ostap.
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