The critical concentration of actin in the presence of ATP increases with the number concentration of filaments and approaches the critical concentration of actin.ADP

F-actin at steady state in the presence of ATP partially depolymerized to a new steady state upon mechanical fragmentation. The increase in critical concentration with the number concentration of filaments has been quantitatively studied. The data can be explained by a model in which the preferred pathway for actin association-dissociation reactions at steady state in the presence of ATP involves binding of G-actin . ATP to filaments, ATP hydrolysis, and dissociation of G-actin . ADP which is then slowly converted to G-actin . ATP. As a consequence of the slow exchange of nucleotide on G-actin, the respective amounts of G-actin . ATP and G-actin . ADP coexisting with F-actin at steady state depend on the filament number concentration. G-actin coexisting with F-actin at zero number concentration of filaments would then consist of G-actin . ATP only, while the critical concentration obtained at infinite number of filaments would be that for G-actin . ADP. Values of 0.35 and 8 microM, respectively, were found for these two extreme critical concentrations for skeletal muscle actin at 20 degrees C, pH 7.8, 0.1 mM CaCl2, 1 mM MgCl2, and 0.2 mM ATP. The same value of 8 microM was directly measured for the critical concentration of G-actin . ADP polymerized in the presence of ADP and absence of ATP, and it was unaffected by fragmentation. These results have important implications for experiments in which critical concentrations are compared under conditions that change the filament number concentrations.     

Conformational dynamics of loop 262-274 in G- and F-actin

According to the original Holmes model of F-actin structure, the hydrophobic loop 262-274 stabilizes the actin filament by inserting into a pocket formed at the interface between two protomers on the opposing strand. Using a yeast actin triple mutant, L180C/L269C/C374A [(LC)(2)CA], we showed previously that locking the hydrophobic loop to the G-actin surface by a disulfide bridge prevents filament formation. We report here that the hydrophobic loop is mobile in F- as well as in G-actin, fluctuating between the extended and parked conformations. Copper-catalyzed, brief air oxidation of (LC)(2)CA F-actin on electron microscopy grids resulted in the severing of thin filaments and their conversion to amorphous aggregates. Disulfide, bis(methanethiosulfonate) (MTS), and dibromobimane (DBB) cross-linking reactions proceeded in solution at a faster rate with G- than with F-actin. Cross-linking of C180 to C269 by DBB (4.4 A) in either G- or F-actin resulted in shorter and less stable filaments. The cross-linking with a longer MTS-6 reagent (9.6 A) did not impair actin polymerization or filament structure. Myosin subfragment 1 (S1) and tropomyosin inhibited the disulfide cross-linking of phalloidin-stabilized F-actin. Electron paramagnetic resonance measurements with nitroxide spin-labeled actin revealed strong spin-spin coupling and a similar mean interspin distance ( approximately 10 A) in G- and in F-actin, with a broader distance distribution in G-actin. These results show loop 262-274 fluctuations in G- and F-actin and correlate loop dynamics with actin filament formation and stability.     

Actin polymerization and ATP hydrolysis

This paper surveys several aspects of the consequences of ATP hydrolysis associated with actin polymerization, and their physiological implications. ATP hydrolysis occurs on F-actin in two subsequent reactions, cleavage of ATP followed by the slower release of P_i. The latter reaction is linked to a conformation change of the actin subunit that causes a destabilization of the actin-actin interactions in the filament, i.e., a structural change of the filament. The nature of the nucleotide bound to terminal subunits therefore affects the dynamics of actin filaments. It is shown that this regulation is different at the two ends, terminal F-ADP-P_i subunits being present at steady state at the barbed end, while F-ADP-subunits are present at the pointed end. While cleavage of ATP on F-actin is irreversible, P_i release is reversible, which allows the regulation of filament dynamics by cellular P_i. The nature of the divalent metal ion — Ca²⁺ or Mg²⁺ — tightly bound to actin, in direct interaction with ATP, also affects the conformation of actin and the rate of ATP hydrolysis, therefore regulating actin dynamics. Finally, the rate of nucleotide exchange on G-actin is relatively slow, which allows the critical concentration to increase with the number of filaments in ATP, a property largely used by the cell via the action of severing proteins.     

Evidence for an ATP cap at the ends of actin filaments and its regulation of the F-actin steady state

The correlation between the time courses of actin polymerization under continuous sonication and the associated ATP hydrolysis has been studied. ATP hydrolysis was not mechanistically coupled to polymerization, i.e. not necessary for polymerization, but occurred on F-actin in a subsequent monomolecular reaction. Under sonication, polymerization was complete in 10 s while hydrolysis of ATP on the polymer required 200 s. A value of 0.023 s-1 was found for the first order rate constant of ATP hydrolysis on the polymer at 25 degrees C, pH 7.8, in the presence of 0.2 mM ATP, 0.1 mM CaCl2, and 1 mM MgCl2, independent of the F-actin concentration. The conversion of ATP X F-actin to ADP X F-actin was accompanied by an increase in fluorescence of a pyrenyl probe covalently attached to actin, consistent with a 2-fold greater fluorescence for ADP X F-actin than for ATP X F-actin, with a rate constant of 0.022 s-1. In contrast, the fluorescence of F-actin labeled with 7-chloro-4-nitrobenzeno-2-oxa-1,3-diazole did not change significantly when ATP or ADP was bound. The direct consequence of the uncoupling between polymerization and ATP hydrolysis is the formation of an ATP cap at the ends of the filaments, which maintains the stability of the polymer, while most of the filament contains bound ADP. The heterogeneity of the filament with respect to ATP and ADP results in a nonlinear relationship between the rate of elongation and the concentration of G-actin with a discontinuity at the critical concentration, where the rate of growth is zero. In this respect, F-actin in ATP behaves similarly to microtubules in GTP.     

The assembly of MreB, a prokaryotic homolog of actin

MreB, a major component of the bacterial cytoskeleton, exhibits high structural homology to its eukaryotic counterpart actin. Live cell microscopy studies suggest that MreB molecules organize into large filamentous spirals that support the cell membrane and play a key shape-determining function. However, the basic properties of MreB filament assembly remain unknown. Here, we studied the assembly of Thermotoga maritima MreB triggered by ATP in vitro and compared it to the well-studied assembly of actin. These studies show that MreB filament ultrastructure and polymerization depend crucially on temperature as well as the ions present on solution. At the optimal growth temperature of T. maritima, MreB assembly proceeded much faster than that of actin, without nucleation (or nucleation is highly favorable and fast) and with little or no contribution from filament end-to-end annealing. MreB exhibited rates of ATP hydrolysis and phosphate release similar to that of F-actin, however, with a critical concentration of approximately 3 nm, which is approximately 100-fold lower than that of actin. Furthermore, MreB assembled into filamentous bundles that have the ability to spontaneously form ring-like structures without auxiliary proteins. These findings suggest that despite high structural homology, MreB and actin display significantly different assembly properties.     

Ca2+-calmodulin-dependent polymerization of actin by myelin basic protein

The interaction between myelin basic protein (MBP) and G-actin was studied under nonpolymerizing conditions, i.e.,2mM HEPES, pH 7.5, 0.1 mM CaCl2 and 0.2 mM ATP. Fluorescence studies using pyrenyl-actin and the measurements of ATP hydrolysis rate show that MBP induces changes in the structure of the actin monomer similar to those occurring during polymerization by salt. Electron microscope observations of the MBP-G-actin complex reveal the presence of filamentous structures which appear as separate filaments or as bundles of filaments in lateral association. These filaments are polar as visualized by attachment of heavy meromyosin. The biochemical data together with electron microscope observations suggest that the binding of MBP to G-actin under non-polymerizing conditions induces an interaction between actin monomers leading to the formation of filamentous structures which may be similar to F-actin filaments. The effects of MBP on G-actin can be reversed by calmodulin in the presence of Ca2+.     

Mechanism of K+-induced actin assembly

The assembly of highly purified actin from Dictyostelium discoideum amoebae and rabbit skeletal muscle by physiological concentrations of KCI proceeds through successive stages of (a) rapid formation of a distinct monomeric species referred to as KCI-monomer, (b) incorporation of KCI-monomers into an ATP-containing filament, and (c) ATP hydrolysis that occurs significantly after the incorporation event. KCI-monomer has a conformation which is distinct from that of either conventional G- or F-actin, as judged by UV spectroscopy at 210-220 nm and by changes in ATP affinity. ATP is not hydrolyzed during conversion of G-actin to KCI-monomer. KCI-monomer formation precedes filament formation and may be necessary for the assembly event. Although incorporation of KCI-monomers into filaments demonstrates lagphase kinetics by viscometry, both continuous absorbance monitoring at 232 nm and rapid sedimentation of filaments demonstrate hyperbolic assembly curves. ATP hydrolysis significantly lags the formation of actin filaments. When half of the actin has assembled, only 0.1 to 0.2 mole of ATP are hydrolyzed per mole of actin present as filaments.     

The mechanisms of ATP hydrolysis accompanying the polymerization of Mg-actin and Ca-actin

The hydrolysis of ATP that accompanies actin polymerization occurs on the F-actin subsequent to the elongation step. For Mg-actin, the rate of ATP hydrolysis is similar to the rate of elongation at low concentrations of G-actin but increases more slowly as the G-actin concentration is increased. This behavior can be quantitatively modeled by assuming that ATP hydrolysis occurs predominantly, but not exclusively, on a single subunit of Mg-F-actin at the interface between an ATP-subunit cap and an ADP-subunit core. The rates of elongation of Ca-actin and Mg-actin are similar but the rate of ATP hydrolysis on Ca-F-actin is appreciably slower than the rate of elongation at all concentrations of Ca-G-actin. The data for Ca-actin can be modeled by assuming that ATP hydrolysis occurs essentially randomly on Ca-F-actin within a large ATP cap which can be as long as 2,000 subunits in a 10,000-subunit long filament.     

High microfilament concentration results in barbed-end ADP caps.

Current theory and experiments describing actin polymerization suggest that site-specific cleavage of bound nucleotide following F-actin filament formation causes the barbed ends of microfilaments to be capped first with ATP subunits, then with ADP bound to inorganic phosphate (ADP.Pi) at steady-state. The barbed ends of depolymerizing filaments consist of ADP subunits. The decrease in stability of the barbed-end cap accompanying the transition from ADP.Pi to ADP allows nucleotide hydrolysis and subsequent loss of Pi to regulate F-actin filament dynamics. We describe a novel computational model of nucleotide capping that simulates both the spatial and temporal properties of actin polymerization. This model has been used to test the effects of high filament concentration on the behavior of the ATP hydrolysis cycle observed during polymerization. The model predicts that under conditions of high microfilament concentration an ADP cap can appear during steady-state at the barbed ends of filaments. We show that the presence of the cap can be accounted for by a kinetic model and predict the relationship between the nucleotide concentration ratio [ATP]/[ADP], the F-actin filament concentration, and the steady-state distribution of barbed-end ADP cap lengths. The possible consequences of this previously unreported phenomenon as a regulator of cytoskeletal behavior are discussed.     

Water molecules in the nucleotide binding cleft of actin: effects on subunit conformation and implications for ATP hydrolysis

In the monomeric actin crystal structure, the positions of a highly organized network of waters are clearly visible within the active site. However, the recently proposed models of filamentous actin (F-actin) did not extend to including these waters. Since the water network is important for ATP hydrolysis, information about water position is critical to understanding the increased rate of catalysis upon filament formation. Here, we show that waters in the active site are essential for intersubdomain rotational flexibility and that they organize the active-site structure. Including the crystal structure waters during simulation setup allows us to observe distinct changes in the active-site structure upon the flattening of the actin subunit, as proposed in the Oda model for F-actin. We identify changes in both protein position and water position relative to the phosphate tail that suggest a mechanism for accelerating the rate of nucleotide hydrolysis in F-actin by stabilizing charge on the β-phosphate and by facilitating deprotonation of catalytic water.     

Evidence that F-actin can hydrolyze ATP independent of monomer-polymer end interactions

The rate of ATP hydrolysis in solutions of F-actin at steady state in 50 mM KC1, 0.1 mM CaC12 was inhibited by AMP and ADP. The inhibition was competitive with ATP (Km of about 600 microM) with Ki values of 9 microM for AMP and 44 microM for ADP. ATP hydrolysis was inhibited greater than 95% by 1 mM AMP. AMP had no effect on the time course of actin polymerization, ATP hydrolysis during polymerization, or the critical actin concentration. Simultaneous measurements of G-actin/F-actin subunit exchange and nucleotide exchange showed that nucleotide exchange occurred much more rapidly than subunit exchange; during the experiment over 50% of the F-actin-bound nucleotide was replaced when less than 1% of the F-actin subunits had exchanged. When AMP was present it was incorporated into the polymer, preventing incorporation of ADP from ATP in solution. F-actin with bound Mg2+ was much less sensitive to AMP than F-actin with bound Ca2+. These data provide evidence for an ATP hydrolysis cycle associated with direct exchange of F-actin-bound ADP for ATP free in solution independent of monomer-polymer end interactions. This exchange and hydrolysis of nucleotide may be enhanced when Ca2+ is bound to the F-actin protomers.     

Structural basis for the destabilization of F-actin by phosphate release following ATP hydrolysis.

The role of ATP hydrolysis in actin polymerization has been a puzzle, since it is known that polymer formation is possible without the ATPase activity and that the ATPase lags behind polymerization. We have used beryllium fluoride and G-ADP actin monomers to form F-ADP-BeF3- filaments that are a stable analog for either the ATP or the ADP-P(i) state. Electron microscopy and computed three-dimensional reconstruction have been used to compare this state to control actin, F-ADP, polymerized from G-ATP. We find, at a high degree of statistical significance, that subdomain-2 of the actin protomer in the ADP-BeF3- state is in a conformation very similar to that found in the atomic model for F-actin of Holmes and co-workers, but becomes disordered after the release of the phosphate. This breaks one of the longitudinal bonds in the filament, consistent with biochemical observations that phosphate release destabilizes F-actin. We have also found that lithium, which reduces the dissociation rate constant of actin filaments, induces a structural state indistinguishable from that of ADP-BeF3-. Further, in all states about ten C-terminal residues are displaced from the above mentioned model, but that the fit of the rest of the monomer is in excellent agreement, supporting the uniqueness of the solution they found and precluding a significantly different arrangement of the actin monomer in the filament.     

Binding of 1,N6-ethanoadenosine triphosphate to actin

G-actin is known to bind one molecule of ATP. Its polymerization to F-actin is accompanied by the splitting off of the terminal phosphate of the bound nucleotide. We have found that the fluorescent 1,N⁶-ethanoadenosine triphosphate (?ATP) can substitute for ATP in G-actin and that G-actin containing bound ?ATP possesses essentially full polymerizability. The binding of this ATP analog has been studied by following the inactivation of the ?ATP·G-actin complex. The binding constant (4?5.7 × 10⁶ M^?1) obtained in the absence of EDTA is about 50% of that for ATP, while the binding constant obtained in the presence of EDTA (0.9?3.0 × 10⁵ M^?1) is comparable to those for ATP and ADP. These findings suggest that ?ATP can be used as a structural probe for actin. The fluorescence lifetime of ?ATP bound to G·actin is 36 nsec. The rotational relaxation time of ?ATP·G-actin is near 60 nsec. at 20°C.     

Polymerization of ADP-actin and ATP-actin under sonication and characteristics of the ATP-actin equilibrium polymer

Polymerization under sonication has been developed as a new method to study the rapid polymerization of actin with a large number of elongating sites. The theory proposed assumes that filaments under sonication are maintained at a constant length by the constant input of energy. The data obtained for the reversible polymerization of ADP-actin under sonication have been successfully analyzed according to the proposed model and, therefore, validate the model. The results obtained for the polymerization of ATP-actin under sonication demonstrate the involvement of ATP hydrolysis in the polymerization process. At high actin concentration, polymerization was fast enough, as compared to ATP hydrolysis on the F-actin, to obtain completion of the reversible polymerization of ATP-actin before significant hydrolysis of ATP occurred. A critical concentration of 3 microM was determined as the ratio of the dissociation and association rate constants for the interaction of ATP-actin with the ATP filament ends in 1 mM MgCl2, 0.2 mM ATP. The plot of the rate of elongation of filaments versus actin monomer concentration exhibited an upward deviation at high actin concentration that is consistent with this result. The fact that F-actin at steady state is more stable than the ATP-F-actin polymer at equilibrium suggests that the interaction between ADP-actin and ATP-actin subunits at the end of the ATP-capped filament is much stronger than the interaction between two ATP-actin subunits.     

A mechanochemical model of actin filaments

In eukaryotic cells, actin filaments are involved in important processes such as motility, division, cell shape regulation, contractility, and mechanosensation. Actin filaments are polymerized chains of monomers, which themselves undergo a range of chemical events such as ATP hydrolysis, polymerization, and depolymerization. When forces are applied to F-actin, in addition to filament mechanical deformations, the applied force must also influence chemical events in the filament. We develop an intermediate-scale model of actin filaments that combines actin chemistry with filament-level deformations. The model is able to compute mechanical responses of F-actin during bending and stretching. The model also describes the interplay between ATP hydrolysis and filament deformations, including possible force-induced chemical state changes of actin monomers in the filament. The model can also be used to model the action of several actin-associated proteins, and for large-scale simulation of F-actin networks. All together, our model shows that mechanics and chemistry must be considered together to understand cytoskeletal dynamics in living cells.     

Preliminarily investigating the polymorphism of self-organized actin filament in vitro by atomic force microscope

Actin is a major structural component of eukaryoticcytoskeleton and exists in monomer G-actin and filamen-tous F-actin. G-actin consists of 375 amino acid residueswith molecular weight 43 kD and is a highly conservedprotein expressed in most living organi…     

Stability and dynamics of G-actin: back-door water diffusion and behavior of a subdomain 3/4 loop.

Molecular dynamics simulations have been performed on solvated G-actin bound to ADP and ATP, starting with the crystal structure of the actin-DNase 1 complex, including a Ca2+ or Mg2+ ion at the high-affinity divalent cation-binding site. Water molecules have been found to enter the nucleotide-binding site (phosphate vicinity) along two pathways, from the side where the nucleotide base is exposed to water, as well as from the opposite side. The water channels suggest a "back-door" mechanism for ATP hydrolysis in which the phosphate is released to a side opposite that of nucleotide binding and unbinding. The simulations also reveal a propensity of G-actin to alter its crystallographic structure toward the filamentous structure. Domain movement closes the nucleotide cleft, the movement being more pronounced for bound Mg2+. The conformational change is interpreted as a response of the system to missing water molecules in the crystal structure. The structures arising in the simulations, classified according to nucleotide cleft separation and radius of gyration of the protein, fall into two distinct clusters: a cluster of states that are similar to the G-actin crystal structure, and a cluster of states with small cleft separation and with the subdomain 3/4 loop 264-273 detached from the protein. The latter states resemble the putative filamentous structure of actin, in which the loop connects the two strands of the actin filament.     

Hydrogen/deuterium exchange mass spectrometry of actin in various biochemical contexts

Hydrogen/deuterium exchange mass spectrometry (H/D MS) of monomeric actin (G-actin), polymeric actin (F-actin), phalloidin-bound F-actin and G-actin complexed with DNase I provides new insights into the architecture of F-actin and the effects of phalloidin and DNase I binding. Although the overall pattern of deuteration change supports the gross features of the Holmes F-actin model, two important differences were observed. Most significantly, no change in deuteration was observed in the critical "hydrophobic plug" region, suggesting this feature may not be present. Polymerization also produced deuteration increases for peptide fragments containing the ATP phosphate-binding loops, suggesting G-actin transitions to a more "open" conformation upon polymerization. However, polymerization produced decreases in deuteration mainly localized to the "inner", filament-axis side as predicted by the Holmes model. Mapping the phalloidin-induced decreases in F-actin deuteration onto the Lorenz binding site produced a single common patch straddling two monomers across the 1-start helix contact, again consistent with the Holmes architecture. Finally, both DNase I and phalloidin were able to alter the deuteration of regions distal to their respective binding sites. These results highlight the great opportunities for H/D MS to exploit high-resolution structures for detailed studies of the organization and dynamics of complex molecular assemblies.     

Isolation and characterization of covalently cross-linked actin dimer

Covalently cross-linked actin dimer was isolated from rabbit skeletal muscle F-actin reacted with phenylenebismaleimide (Knight, P., and Offer, G. (1978) Biochem. J. 175, 1023-1032). The UV spectrum of the purified cross-linked actin dimer, in a nonpolymerizing buffer, was very similar to that of native F-actin and not to the spectrum of G-actin. Cross-linked actin dimer polymerized to filaments that were indistinguishable in the electron microscope from F-actin made from native G-actin and that were similar to native F-actin in their ability to activate the Mg2+-ATPase of myosin subfragment-1. The critical concentrations of polymerization of cross-linked actin dimer in 0.5 mM and 2.0 mM MgCl2, 2 to 4 microM, and 1 to 2 microM, respectively, were similar to the values for native G-actin. Cross-linked actin dimer contained 2 mol of bound nucleotide/mol of dimer. One bound nucleotide exchanged with ATP in solution with a t 1/2 of 55 min and with ADP with a t 1/2 of 5 h. The second bound nucleotide exchanged much more slowly. The more rapidly exchangeable site contained 10 to 15% bound ADP.Pi and 85 to 90% bound ATP while the second site contained much less, if any, bound ADP.Pi. Cross-linked actin dimer had an ATPase activity in 0.5 mM MgCl2 that was 7 times greater than the ATPase activity of native G-actin and that was also stimulated by cytochalasin D. These data are discussed in relation to the possible role of ATP in actin polymerization and function with the speculation that the cross-linked actin dimer may serve simultaneously as a useful model for each of the two different ends of native F-actin.     

Intermolecular coupling between loop 38-52 and the C-terminus in actin filaments.

The recently reported structural connectivity in F-actin between the DNase I binding loop on actin (residues 38-52) and the C-terminus region was investigated by fluorescence and proteolytic digestion methods. The binding of copper to Cys-374 on F- but not G-actin quenched the fluorescence of dansyl ethylenediamine (DED) attached to Gin-41 by more than 50%. The blocking of copper binding to DED-actin by N-ethylmaleimide labeling of Cys-374 on actin abolished the fluorescence quenching. The quenching of DED-actin fluorescence was restored in copolymers (1:9) of N-ethylmaleimide-DED-actin with unlabeled actin. The quenching of DED-actin fluorescence by copper was also abolished in copolymers (1:4) of DED-actin and N-ethylmaleimide-actin. These results show intermolecular coupling between loop 38-52 and the C-terminus in F-actin. Consistent with this, the rate of subtilisin cleavage of actin at loop 38-52 was increased by the bound copper by more than 10-fold in F-actin but not in G-actin. Neither acto-myosin subfragment-1 (S1) ATPase activity nor the tryptic digestion of G-actin and F-actin at the Lys-61 and Lys-69 sites were affected by the bound copper. These observations suggest that copper binding to Cys-374 does not induce extensive changes in actin structure and that the perturbation of loop 38-52 environment results from changes in the intermolecular contacts in F-actin.