Hydrolysis of ATP by polymerized actin depends on the bound divalent cation but not profilin.

Growing evidence suggests that the nucleotide bound to actin filaments serves as a timer to control actin filament turnover during cell motility (Pollard, T. D., Blanchoin, L., and Mullins, R. D. (2000) Annu. Rev. Biophys. Biomol. Struct. 29, 545-576). We re-examined the hydrolysis of ATP by polymerized actin using mechanical quenched-flow methods to improve temporal resolution. The rate constant for ATP hydrolysis by polymerized Mg actin is 0.3 s(-1), 3-fold faster than that measured manually. The ATP hydrolysis rate is similar when Mg ATP actin elongates either the pointed end or the barbed end of filaments. Polymerized Ca actin hydrolyzes ATP at 0.05 s(-1). Mg ATP actin saturated with profilin can elongate barbed ends at >60 s(-1), 2 orders of magnitude faster than ATP hydrolysis (0.3 s(-1)). Given that profilin binds to a surface on actin that is buried in the Holmes model of the actin filament, we expect that profilin will block subunit addition at the barbed end of a filament. Profilin must move from this site at rates much faster than it dissociates from monomers (4 s(-1)). ATP hydrolysis is not required for this movement.     

Structural basis for actin assembly, activation of ATP hydrolysis, and delayed phosphate release

Assembled actin filaments support cellular signaling, intracellular trafficking, and cytokinesis. ATP hydrolysis triggered by actin assembly provides the structural cues for filament turnover in vivo. Here, we present the cryo-electron microscopic (cryo-EM) structure of filamentous actin (F-actin) in the presence of phosphate, with the visualization of some α-helical backbones and large side chains. A complete atomic model based on the EM map identified intermolecular interactions mediated by bound magnesium and phosphate ions. Comparison of the F-actin model with G-actin monomer crystal structures reveals a critical role for bending of the conserved proline-rich loop in triggering phosphate release following ATP hydrolysis. Crystal structures of G-actin show that mutations in this loop trap the catalytic site in two intermediate states of the ATPase cycle. The combined structural information allows us to propose a detailed molecular mechanism for the biochemical events, including actin polymerization and ATPase activation, critical for actin filament dynamics.     

Actin-facilitated assembly of smooth muscle myosin induces formation of actomyosin fibrils

To identify regulatory mechanisms potentially involved in formation of actomyosin structures in smooth muscle cells, the influence of F-actin on smooth muscle myosin assembly was examined. In physiologically relevant buffers, AMPPNP binding to myosin caused transition to the soluble 10S myosin conformation due to trapping of nucleotide at the active sites. The resulting 10S myosin-AMPPNP complex was highly stable and thick filament assembly was suppressed. However, upon addition to F-actin, myosin readily assembled to form thick filaments. Furthermore, myosin assembly caused rearrangement of actin filament networks into actomyosin fibers composed of coaligned F-actin and myosin thick filaments. Severin-induced fragmentation of actin in actomyosin fibers resulted in immediate disassembly of myosin thick filaments, demonstrating that actin filaments were indispensable for mediating myosin assembly in the presence of AMPPNP. Actomyosin fibers also formed after addition of F-actin to nonphosphorylated 10S myosin monomers containing the products of ATP hydrolysis trapped at the active site. The resulting fibers were rapidly disassembled after addition of millimolar MgATP and consequent transition of myosin to the soluble 10S state. However, reassembly of myosin filaments in the presence of MgATP and F-actin could be induced by phosphorylation of myosin P-light chains, causing regeneration of actomyosin fiber bundles. The results indicate that actomyosin fibers can be spontaneously formed by F-actin-mediated assembly of smooth muscle myosin. Moreover, induction of actomyosin fibers by myosin light chain phosphorylation in the presence of actin filament networks provides a plausible hypothesis for contractile fiber assembly in situ.     

Nonlinear increase of elongation rate of actin filaments with actin monomer concentration

The nonlinear increase of the elongation rate of actin filaments above the critical monomer concentration was investigated by nucleated polymerization of actin. Significant deviations from linearity were observed when actin was polymerized in the presence of magnesium ions. When magnesium ions were replaced by potassium or calcium ions, no deviations from linearity could be detected. The nonlinearity was analyzed by two simple assembly mechanisms. In the first model, if the ATP hydrolysis by polymeric actin is approximately as fast as the incorporation of monomers into filaments, terminal subunits of lengthening filaments are expected to carry to some extent ADP. As ADP-containing subunits dissociate from the ends of actin filaments faster than ATP-containing subunits, the rate of elongation of actin filaments would be nonlinearly correlated with the monomer concentration. In the second model (conformational change model), actin monomers and filament subunits were assumed to occur in two conformations. The association and dissociation rates of actin molecules in the two conformations were thought to be different. The equilibrium distribution between the two conformations was assumed to be different for monomers and filament subunits. The ATP hydrolysis was thought to lag behind polymerization and conformational change. As under the experimental conditions the rate of ATP hydrolysis by polymeric actin was independent of the concentration of filament ends, the observed nonlinear increase of the rate of elongation with the monomer concentration above the critical monomer concentration was unlikely to be caused by ATP hydrolysis at the terminal subunits. The conformational change model turned out to be the simplest assembly mechanism by which all available experimental data could be explained.     

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.     

Differential dynamic behavior of actin filaments containing tightly-bound Ca2+ or Mg2+ in the presence of myosin heads actively hydrolyzing ATP.

We have investigated how Ca2+ or Mg2+ bound at the high-affinity cation binding site in F-actin modulates the dynamic response of these filaments to ATP hydrolysis by attached myosin head fragments (S1). Rotational motions of the filaments were monitored using steady-state phosphorescence emission anisotropy of the triplet probe erythrosin-5-iodoacetamide covalently attached to cysteine 374 of actin. The anisotropy of filaments containing only Ca2+ increased from 0.080 to 0.137 upon binding S1 in a rigor complex and decreased to 0.065 in the presence of ATP, indicating that S1 induced additional rotational motions in the filament during ATP hydrolysis. The comparable anisotropy values for Mg(2+)-containing filaments were 0.067, 0.137, and 0.065, indicating that S1 hydrolysis did not induce measurable rotational motions in these filaments. Phalloidin, a fungal toxin which stabilizes F-actin and increases its rigidity, increased the anisotropy of F-actin containing either Ca2+ or Mg2+ but not the anisotropy of the 1:1 S1-actin complexes of these filaments. Mg(2+)-containing filaments with phalloidin bound also displayed increased rotational motions during S1 ATP hydrolysis. A strong positive correlation between the phosphorescence anisotropy of F-actin under specific conditions and the extent of the rotational motions induced by S1 during ATP hydrolysis suggested that the long axis torsional rigidity of F-actin plays a crucial role in modulating the dynamic response of the filaments to ATP hydrolysis by S1. Cooperative responses of F-actin to dynamic perturbations induced by S1 during ATP hydrolysis may thus be physically mediated by the torsional rigidity of the filament.     

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.     

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.     

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.     

Role of ATP-Hydrolysis in the Dynamics of a Single Actin Filament

We study the stochastic dynamics of growth and shrinkage of single actin filaments taking into account insertion, removal, and ATP hydrolysis of subunits either according to the vectorial mechanism or to the random mechanism. In a previous work, we developed a model for a single actin or microtubule filament where hydrolysis occurred according to the vectorial mechanism: the filament could grow only from one end, and was in contact with a reservoir of monomers. Here we extend this approach in two ways—by including the dynamics of both ends and by comparing two possible mechanisms of ATP hydrolysis. Our emphasis is mainly on two possible limiting models for the mechanism of hydrolysis within a single filament, namely the vectorial or the random model. We propose a set of experiments to test the nature of the precise mechanism of hydrolysis within actin filaments.     

The roles of ATP in the dynamics of the actin filaments of the cytoskeleton

In contrast to the actin filaments of muscle, which are stabilized by special proteins, actin filaments of the cytoskeleton are highly dynamic. In vitro observations at room temperature have led to the conclusion that the hydrolysis of ATP, which accompanies the polymerization of ATP-containing monomers, destabilizes the filaments of the actin skeleton. Many functions of this skeleton, such as signal transduction, the anchoring of cell adhesion complexes, and the transfer and generation of pulling forces, can obviously only be adequately performed by stable filaments. Here it is assumed that, at room temperature, the interaction of ADP-containing monomers is impaired by complexed water molecules that partly shield the binding surfaces. The possibility that, at higher temperatures, the interaction of the monomers is strong enough to prevent spontaneous filament depolymerization is explored. Using mechanical models that take into account binding forces and energies, the polymerization cycle expected under these conditions is described. It is shown that ATP serves primarily to prevent incorrect binding of the incoming monomer to the end of the filament ('adjusted fit'). In addition, it provides the free energy needed for disassembly of the expected stable filaments.     

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+.     

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.     

Activation of Arp2/3 complex: addition of the first subunit of the new filament by a WASP protein triggers rapid ATP hydrolysis on Arp2

In response to activation by WASP-family proteins, the Arp2/3 complex nucleates new actin filaments from the sides of preexisting filaments. The Arp2/3-activating (VCA) region of WASP-family proteins binds both the Arp2/3 complex and an actin monomer and the Arp2 and Arp3 subunits of the Arp2/3 complex bind ATP. We show that Arp2 hydrolyzes ATP rapidly—with no detectable lag—upon nucleation of a new actin filament. Filamentous actin and VCA together do not stimulate ATP hydrolysis on the Arp2/3 complex, nor do monomeric and filamentous actin in the absence of VCA. Actin monomers bound to the marine macrolide Latrunculin B do not polymerize, but in the presence of phalloidin-stabilized actin filaments and VCA, they stimulate rapid ATP hydrolysis on Arp2. These data suggest that ATP hydrolysis on the Arp2/3 complex is stimulated by interaction with a single actin monomer and that the interaction is coordinated by VCA. We show that capping of filament pointed ends by the Arp2/3 complex (which occurs even in the absence of VCA) also stimulates rapid ATP hydrolysis on Arp2, identifying the actin monomer that stimulates ATP hydrolysis as the first monomer at the pointed end of the daughter filament. We conclude that WASP-family VCA domains activate the Arp2/3 complex by driving its interaction with a single conventional actin monomer to form an Arp2–Arp3–actin nucleus. This actin monomer becomes the first monomer of the new daughter filament.     

Actin filaments undergo limited subunit exchange in physiological salt conditions

The exchange of actin filament subunits for unpolymerized actin or for subunits in other filaments has been quantitated by three experimental techniques: fluorescence energy transfer, incorporation of 35S-labeled actin monomers into unlabeled actin filaments, and exchange of [14C]ATP with filament-bound ADP. In the fluorescence energy transfer experiments, actin labeled with 5-(iodoacetamidoethyl)aminonaphthalene- 1-sulfonic acid (IAENS) served as the fluorescent energy donor, and actin labeled with either fluorescein-5-isothiocyanate (FITC) or fluorescein-5-maleimide (FM) served as the energy acceptor. Fluorescent- labeled actins from Dictyostelium amoebae and rabbit skeletal muscle were very similar to their unlabeled counterparts with respect to critical actin concentration for filament assembly, assembly rate, ATP hydrolysis upon assembly, and steady-state ATPase. As evidenced by two different types of fluorescence energy transfer experiments, less than 5% of the actin filament subunits exchanged under a variety of buffer conditions at actin concentrations greater than 0.5 mg/ml. At all actin concentrations limited exchange to a plateau level occurred with a half- time of about 20 min. Nearly identical results were obtained when exchange was quantitated by incorporation of 35S-labeled Dictyostelium actin monomers into unlabeled muscle actin or Dictyostelium actin filaments. Furthermore, the proportion of filament-bound ADP which exchanged with [14C]-ATP was nearly the same as actin subunit exchange measured by fluorescence energy transfer and 35S-labeled actin incorporation. These experiments demonstrate that under approximately physiologic ionic conditions only a small percentage of subunits in highly purified skeletal muscle or Dictyostelium F-actin participate in exchange.     

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.     

ATP hydrolysis stimulates large length fluctuations in single actin filaments

Polymerization dynamics of single actin filaments is investigated theoretically using a stochastic model that takes into account the hydrolysis of ATP-actin subunits, the geometry of actin filament tips, and the lateral interactions between the monomers as well as the processes at both ends of the polymer. Exact analytical expressions are obtained for the mean growth velocity, for the dispersion in the length fluctuations, and the nucleotide composition of the actin filaments. It is found that the ATP hydrolysis has a strong effect on dynamic properties of single actin filaments. At high concentrations of free actin monomers, the mean size of the unhydrolyzed ATP-cap is very large, and the dynamics is governed by association/dissociation of ATP-actin subunits. However, at low concentrations the size of the cap becomes finite, and the dissociation of ADP-actin subunits makes a significant contribution to overall dynamics. Actin filament length fluctuations reach a sharp maximum at the boundary between two dynamic regimes, and this boundary is always larger than the critical concentration for the actin filament's growth at the barbed end, assuming the sequential release of phosphate. Random and sequential mechanisms of hydrolysis are compared, and it is found that they predict qualitatively similar dynamic properties at low and high concentrations of free actin monomers with some deviations near the critical concentration. The possibility of attachment and detachment of oligomers in actin filament's growth is also discussed. Our theoretical approach is successfully applied to analyze the latest experiments on the growth and length fluctuations of individual actin filaments.     

New Aspects of the Spontaneous Polymerization of Actin in the Presence of Salts

The mechanism of salt-induced actin polymerization involves the energetically unfavorable nucleation step, followed by filament elongation by the addition of monomers. The use of a bifunctional cross-linker, N,N′-(1,4-phenylene)dimaleimide, revealed rapid formation of the so-called lower dimers (LD) in which actin monomers are arranged in an antiparallel fashion. The filament elongation phase is characterized by a gradual LD decay and an increase in the yield of “upper dimers” (UD) characteristic of F-actin. Here we have used 90° light scattering, electron microscopy, and N,N′-(1,4-phenylene)dimaleimide cross-linking to reinvestigate relationships between changes in filament morphology, LD decay, and increase in the yield of UD during filament growth in a wide range of conditions influencing the rate of the nucleation reaction. The results show irregularity and instability of filaments at early stages of polymerization under all conditions used, and suggest that an earlier documented coassembling of LD with monomeric actin contributes to the initial disordering of the filaments rather than to the nucleation of polymerization. The effects of the type of G-actin-bound divalent cation (Ca²⁺/Mg²⁺), nucleotide (ATP/ADP), and polymerizing salt on the relation between changes in filament morphology and progress in G-actin-to-F-actin transformation show that ligand-dependent alterations in G-actin conformation determine not only the nucleation rate but also the kinetics of ordering of the filament structure in the elongation phase. The time courses of changes in the yield of UD suggest that filament maturation involves cooperative propagation of “proper” interprotomer contacts. Acceleration of this process by the initially bound MgATP supports the view that the filament-destabilizing conformational changes triggered by ATP hydrolysis and P_i liberation during polymerization are constrained by the intermolecular contacts established between MgATP monomers prior to ATP hydrolysis. An important role of contacts involving the DNase-I-binding loop and the C-terminus of actin is proposed.     

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.     

Protein osmotic pressure and cross-bridge attachment determine the stiffness of thin filaments in muscle ex vivo

The properties of some models of the actin filament are compared with those of the thin filament in muscle. The greater stiffness of thin filaments ex vivo with respect to F-actin in vitro is attributed to the effect of both protein osmotic pressure and the attached cross-bridges. By comparing the stiffness of thin filaments in vitro and in isometric and rigor muscles the stiffness of thin filaments in relaxed muscle is computed. The upper limit of thin filament stretching is deduced to approach approximately 10 nm microm(-1). It is also calculated that, on stretching by 2.02 nm of the fully non-overlapped thin filament or by 1.59 nm of the thin filament on isometric contraction, the energy released on the hydrolysis of one molecule of ATP is fully used up.