Nucleotide-dependent Changes Research Articles

Evidence against the Swinging Lever Arm Mechanism in Muscle Contraction Based on the Effect of Antibodies to Myosin Head

During muscle contraction, myosin heads extending from myosin filaments first attach to actin filaments, perform power stroke producing force and motion in muscle, and then detach from actin filaments. A myosin head (or myosin subfragment-1, S-1) consists of catalytic and lever arm domains (CAD and LD), which are connected via converter domain (COD). It is widely believed that the myosin head power stroke is caused by swinging lever arm mechanism, which assumes active rotation of the LD around the COD, caused by structural changes in and around the COD. The lever arm mechanism is, however, constructed from nucleotide-dependent structural changes of crystals of truncated myosin head, consisting only of the CAD and the COD, and therefore overlooks possible role of the LD and myosin subfragment-2 (S-2), connecting myosin heads to myosin filament backbone. In this article, we present evidence against the lever arm hypothesis based on the following results: (1) antibody to reactive lysine residue (Lys83) located in the COD (anti-RLR antibody) has no effect on Ca2+-activated muscle fiber contraction; (2) using the gas environmental chamber attached to electron microscope, we record ATP-induced power stroke of myosin heads, position-marked with anti-RLR antibody; (3) antibodies to myosin head LD (anti-LD antibody) and to myosin S-2 (anti-S-2 antibody) inhibit Ca2+-activated contraction without changing MgATPase activity. The absence of inhibitory effect of anti-RLR antibody, attaching to RLR in the COD, makes the lever arm mechanism unlikely, since attachment of bulky antibody (IgG) to RLR in the COD is expected to inhibit structural changes in and around the COD. Meanwhile, inhibitory effect of anti-LD and anti-S-2 antibodies indicate essential role of the LD and the S-2 in muscle contraction.

Mathematical model for shear stress dependent NO and adenine nucleotide production from endothelial cells

We developed a mass transport model for a parallel-plate flow chamber apparatus to predict the concentrations of nitric oxide (NO) and adenine nucleotides (ATP, ADP) produced by cultured endothelial cells (ECs) and investigated how the net rates of production, degradation, and mass transport for these three chemical species vary with changes in wall shear stress (τw). These simulations provide an improved understanding of experimental results obtained with parallel-plate flow chambers and allows quantitative analysis of the relationship between τw, adenine nucleotide concentrations, and NO produced by ECs. Experimental data obtained after altering ATP and ADP concentrations with apyrase were analyzed to quantify changes in the rate of NO production (RNO). The effects of different isoforms of apyrase on ATP and ADP concentrations and nucleotide-dependent changes in RNO could be predicted with the model. A decrease in ATP was predicted with apyrase, but an increase in ADP was simulated due to degradation of ATP. We found that a simple proportional relationship relating a component of RNO to the sum of ATP and ADP provided a close match to the fitted curve for experimentally measured changes in RNO with apyrase. Estimates for the proportionality constant ranged from 0.0067 to 0.0321 μM/s increase in RNO per nM nucleotide concentration, depending on which isoform of apyrase was modeled, with the largest effect of nucleotides on RNO at low τw (<6 dyn/cm2).

Decrypting the structural, dynamic, and energetic basis of a monomeric kinesin interacting with a tubulin dimer in three ATPase states by all-atom molecular dynamics simulation.

We have employed molecular dynamics (MD) simulation to investigate, with atomic details, the structural dynamics and energetics of three major ATPase states (ADP, APO, and ATP state) of a human kinesin-1 monomer in complex with a tubulin dimer. Starting from a recently solved crystal structure of ATP-like kinesin-tubulin complex by the Knossow lab, we have used flexible fitting of cryo-electron-microscopy maps to construct new structural models of the kinesin-tubulin complex in APO and ATP state, and then conducted extensive MD simulations (total 400 ns for each state), followed by flexibility analysis, principal component analysis, hydrogen bond analysis, and binding free energy analysis. Our modeling and simulation have revealed key nucleotide-dependent changes in the structure and flexibility of the nucleotide-binding pocket (featuring a highly flexible and open switch I in APO state) and the tubulin-binding site, and allosterically coupled motions driving the APO to ATP transition. In addition, our binding free energy analysis has identified a set of key residues involved in kinesin-tubulin binding. On the basis of our simulation, we have attempted to address several outstanding issues in kinesin study, including the possible roles of β-sheet twist and neck linker docking in regulating nucleotide release and binding, the structural mechanism of ADP release, and possible extension and shortening of α4 helix during the ATPase cycle. This study has provided a comprehensive structural and dynamic picture of kinesin's major ATPase states, and offered promising targets for future mutational and functional studies to investigate the molecular mechanism of kinesin motors.

Dynamic Turnover of FtsZ-Ring in Live Cell

In bacterial, cell division is initiated at the midcell by the formation of a ring-like structure called Z-ring. The Z-ring is assembled by the polymerization of a tubulin homolog, FtsZ, and serves as a scaffold to recruit more than twenty other division proteins. Like tubulin, FtsZ is a GTPase. Thus, a model has been proposed wherein nucleotide-dependent changes in the conformation of membrane-associated FtsZ polymers generate a mechanical force for membrane constriction. However, some FtsZ GTPase mutants are viable at permissive temperatures, raising the question of what the role of FtsZ's GTPase activity is in cell division. Previously, fluorescence recovery after photobleaching (FRAP) experiments showed the Z-ring is highly dynamic, and it constantly turns over with cytoplasm FtsZ pool1. In this work we used total internal reflection fluorescence microscope (TIRFM) to monitor the dynamics of FtsZ-GFP labelled Z-ring in live E coli cells. We observed that matured Z-rings exhibit highly dynamic oscillatory behaviours in live wild type background cells. These dynamic oscillations are larger in magnitude than the constant individual subunit turnover reported by FRAP. It is also distinct from the previously reported FtsZ oscillation along the cell length of newborn cells before Z-ring's assembly. We further investigated cellular factors and FtsZ properties that could influence this dynamic behaviour.Reference1. Stricker, Jesse, et al. PNAS, 2002, 99, 3171-3175.

KIF14 Binds Tightly to Microtubules and Adopts a Rigor-Like Conformation

The mitotic kinesin motor protein KIF14 is essential for cytokinesis during cell division and has been implicated in cerebral development and a variety of human cancers. Here we show that the mouse KIF14 motor domain binds tightly to microtubules and does not display typical nucleotide-dependent changes in this affinity. It also has robust ATPase activity but very slow motility. A crystal structure of the ADP-bound form of the KIF14 motor domain reveals a dramatically opened ATP-binding pocket, as if ready to exchange its bound ADP for Mg·ATP. In this state, the central β-sheet is twisted ~10° beyond the maximal amount observed in other kinesins. This configuration has only been seen in the nucleotide-free states of myosins—known as the “rigor-like” state. Fitting of this atomic model to electron density maps from cryo-electron microscopy indicates a distinct binding configuration of the motor domain to microtubules. We postulate that these properties of KIF14 are well suited for stabilizing midbody microtubules during cytokinesis.

Structural States and Dynamics of the D-Loop in Actin

Conformational changes induced by ATP hydrolysis on actin are involved in the regulation of complex actin networks. Previous structural and biochemical data implicate the DNase I binding loop (D-loop) of actin in such nucleotide-dependent changes. Here, we investigated the structural and conformational states of the D-loop (in solution) using cysteine scanning mutagenesis and site-directed labeling. The reactivity of D-loop cysteine mutants toward acrylodan and the mobility of spin labels on these mutants do not show patterns of an α-helical structure in monomeric and filamentous actin, irrespective of the bound nucleotide. Upon transition from monomeric to filamentous actin, acrylodan emission spectra and electron paramagnetic resonance line shapes of labeled mutants are blue-shifted and more immobilized, respectively, with the central residues (residues 43–47) showing the most drastic changes. Moreover, complex electron paramagnetic resonance line shapes of spin-labeled mutants suggest several conformational states of the D-loop. Together with a new (to our knowledge) actin crystal structure that reveals the D-loop in a unique hairpin conformation, our data suggest that the D-loop equilibrates in F-actin among different conformational states irrespective of the nucleotide state of actin.

On the ATP-Dependent Activation of the Radical Enzyme (R)-2-Hydroxyisocaproyl-CoA Dehydratase

Members of the 2-hydroxyacyl-CoA dehydratase enzyme family catalyze the β,α-dehydration of various CoA-esters in the fermentation of amino acids by clostridia. Abstraction of the nonacidic β-proton of the 2-hydroxyacyl-CoA compounds is achieved by the reductive generation of ketyl radicals on the substrate, which is initiated by the transfer of an electron at low redox potentials. The highly energetic electron needed on the dehydratase is donated by a [4Fe-4S] cluster containing ATPase, termed activator. We investigated the activator of the 2-hydroxyisocaproyl-CoA dehydratase from Clostridium difficile. The activator is a homodimeric protein structurally related to acetate and sugar kinases, Hsc70 and actin, and has a [4Fe-4S] cluster bound in the dimer interface. The crystal structures of the Mg-ADP, Mg-ADPNP, and nucleotide-free states of the reduced activator have been solved at 1.6-3.0 Å resolution, allowing us to define the position of Mg(2+) and water molecules in the vicinity of the nucleotides and the [4Fe-4S] cluster. The structures reveal redox- and nucleotide dependent changes agreeing with the modulation of the reduction potential of the [4Fe-4S] cluster by conformational changes. We also investigated the propensity of the activator to form a complex with its cognate dehydratase in the presence of Mg-ADP and Mg-ADPNP and together with the structural data present a refined mechanistic scheme for the ATP-dependent electron transfer between activator and dehydratase.

Interactions between the C-terminus of Kv1.5 and Kvβ regulate pyridine nucleotide-dependent changes in channel gating

Voltage-gated potassium (Kv) channels are tetrameric assemblies of transmembrane Kv proteins with cytosolic N- and C-termini. The N-terminal domain of Kv1 proteins binds to β-subunits, but the role of the C-terminus is less clear. Therefore, we studied the role of the C-terminus in regulating Kv1.5 channel and its interactions with Kvβ-subunits. When expressed in COS-7 cells, deletion of the C-terminal domain of Kv1.5 did not affect channel gating or kinetics. Coexpression of Kv1.5 with Kvβ3 increased current inactivation, whereas Kvβ2 caused a hyperpolarizing shift in the voltage dependence of current activation. Inclusion of NADPH in the patch pipette solution accelerated the inactivation of Kv1.5-Kvβ3 currents. In contrast, NADP(+) decreased the rate and the extent of Kvβ3-induced inactivation and reversed the hyperpolarizing shift in the voltage dependence of activation induced by Kvβ2. Currents generated by Kv1.5ΔC+Kvβ3 or Kv1.5ΔC+Kvβ2 complexes did not respond to changes in intracellular pyridine nucleotide concentration, indicating that the C-terminus is required for pyridine nucleotide-dependent interactions between Kvβ and Kv1.5. A glutathione-S-transferase (GST) fusion protein containing the C-terminal peptide of Kv1.5 did not bind to apoKvβ2, but displayed higher affinity for Kvβ2:NADPH than Kvβ2:NADP(+). The GST fusion protein also precipitated Kvβ proteins from mouse brain lysates. Pull-down experiments, structural analysis and electrophysiological data indicated that a specific region of the C-terminus (Arg543-Val583) is required for Kvβ binding. These results suggest that the C-terminal domain of Kv1.5 interacts with β-subunits and that this interaction is essential for the differential regulation of Kv currents by oxidized and reduced nucleotides.

Coarse-Grained Analysis and Modeling of Nucleotide-Dependent Changes in F-Actin

Actin filaments represent a truly multiscale physical system in which changes at the chemical reaction level (ATP hydrolysis) affect the conformation of actin subunits which in turn affect the binding affinity of actin-binding proteins and the stability of actin filaments. Connecting information between these scales and understanding the physical basis of these changes is a significant and challenging problem. We present a coarse-grained (CG) model and analysis of molecular dynamics simulations of actin filaments in the ATP and ADP-bound states to understand the large scale changes in structure and dynamics based on nucleotide state. Because the CG model is based on the underlying protein structure, changes in the distribution and stability of CG sites highlight specific areas in the filament that may respond to the nucleotide state, and which should be analyzed further at the atomistic scale. These CG models are essential to allow simulation of actin filaments at a network level and to characterize how nucleotide state affects the emergent properties of the network.

2A1448 ヌクレオチド状態に依存したダイニン分子の形態変化(分子モーターII:ダイニン,口頭発表,日本生物物理学会第50回年会(2012年度))

2A1448 ヌクレオチド状態に依存したダイニン分子の形態変化(分子モーターII:ダイニン,口頭発表,日本生物物理学会第50回年会(2012年度))

A seesaw model for intermolecular gating in the kinesin motor protein

Recent structural observations of kinesin-1, the founding member of the kinesin group of motor proteins, have led to substantial gains in our understanding of this molecular machine. Kinesin-1, similar to many kinesin family members, assembles to form homodimers that use alternating ATPase cycles of the catalytic motor domains, or “heads”, to proceed unidirectionally along its partner filament (the microtubule) via a hand-over-hand mechanism. Cryo-electron microscopy has now revealed 8-Å resolution, 3D reconstructions of kinesin-1•microtubule complexes for all three of this motor’s principal nucleotide-state intermediates (ADP-bound, no-nucleotide, and ATP analog), the first time filament co-complexes of any cytoskeletal motor have been visualized at this level of detail. These reconstructions comprehensively describe nucleotide-dependent changes in a monomeric head domain at the secondary structure level, and this information has been combined with atomic-resolution crystallography data to synthesize an atomic-level "seesaw" mechanism describing how microtubules activate kinesin’s ATP-sensing machinery. The new structural information revises or replaces key details of earlier models of kinesin’s ATPase cycle that were based principally on crystal structures of free kinesin, and demonstrates that high-resolution characterization of the kinesin–microtubule complex is essential for understanding the structural basis of the cycle. I discuss the broader implications of the seesaw mechanism within the cycle of a fully functional kinesin dimer and show how the seesaw can account for two types of "gating" that keep the ATPase cycles of the two heads out of sync during processive movement.

Real-time NMR Study of Guanine Nucleotide Exchange and Activation of RhoA by PDZ-RhoGEF

Small guanosine triphosphatases (GTPases) become activated when GDP is replaced by GTP at the highly conserved nucleotide binding site. This process is intrinsically very slow in most GTPases but is significantly accelerated by guanine nucleotide exchange factors (GEFs). Nucleotide exchange in small GTPases has been widely studied using spectroscopy with fluorescently tagged nucleotides. However, this method suffers from effects of the bulky fluorescent moiety covalently attached to the nucleotide. Here, we have used a newly developed real-time NMR-based assay to monitor small GTPase RhoA nucleotide exchange by probing the RhoA conformation. We compared RhoA nucleotide exchange from GDP to GTP and GTP analogues in the absence and presence of the catalytic DH-PH domain of PDZ-RhoGEF (DH-PH(PRG)). Using the non-hydrolyzable analogue guanosine-5'-O-(3-thiotriphosphate), which we found to be a reliable mimic of GTP, we obtained an intrinsic nucleotide exchange rate of 5.5 x 10(-4) min(-1). This reaction is markedly accelerated to 1179 x 10(-4) min(-1) in the presence of DH-PH(PRG) at a ratio of 1:8,000 relative to RhoA. Mutagenesis studies confirmed the importance of Arg-868 near a conserved region (CR3) of the Dbl homology (DH) domain and revealed that Glu-741 in CR1 is critical for full activity of DH-PH(PRG), together suggesting that the catalytic mechanism of PDZ-RhoGEF is similar to Tiam1. Mutation of the single RhoA (E97A) residue that contacts the pleckstrin homology (PH) domain rendered the mutant 10-fold less sensitive to the activity of DH-PH(PRG). Interestingly, this mutation does not affect RhoA activation by leukemia-associated RhoGEF (LARG), indicating that the PH domains of these two homologous GEFs may play different roles.

The Small Molecule Smooth Muscle Myosin Inhibitor, CK-2018571, Selectively Inhibits ATP Hydrolysis and Relaxes Smooth Muscle In Vitro

Smooth muscle contraction is driven by cyclical, nucleotide-dependent changes in myosin conformation that alter its affinity for actin, produce force, and generate movement. We used a high throughput screen to identify compounds that inhibit the ATPase activity of smooth muscle myosin; optimization of the initial hit compounds has resulted in compounds with nanomolar affinity. A potent representative of this chemical series, CK-2018571, inhibits the steady-state ATPase activity of human smooth muscle myosin at low nanomolar concentrations, approximately 10-fold lower than are required to inhibit non-muscle myosin, the most closely related myosin II.

Diverse Pore Loops of the AAA+ ClpX Machine Mediate Unassisted and Adaptor-Dependent Recognition of ssrA-Tagged Substrates

ClpX, an archetypal proteolytic AAA+ unfoldase, must engage the ssrA tags of appropriate substrates prior to ATP-dependent unfolding and translocation of the denatured polypeptide into ClpP for degradation. Here, specificity-transplant and disulfide-crosslinking experiments reveal that the ssrA tag interacts with different loops that form the top, middle, and lower portions of the central channel of the ClpX hexamer. Our results support a two-step binding mechanism, in which the top loop serves as a specificity filter and the remaining loops form a binding site for the peptide tag relatively deep within the pore. Crosslinking experiments suggest a staggered arrangement of pore loops in the hexamer and nucleotide-dependent changes in pore-loop conformations. This mechanism of initial tag binding would allow ATP-dependent conformational changes in one or more pore loops to drive peptide translocation, force unfolding, and mediate threading of the denatured protein through the ClpX pore.

2P165 ncdコイルドコイル・ストークドメインのヌクレオチド依存的な熱安定性変化のFRET計測(分子モーター,口頭発表,第45回日本生物物理学会年会)

2P165 ncdコイルドコイル・ストークドメインのヌクレオチド依存的な熱安定性変化のFRET計測(分子モーター,口頭発表,第45回日本生物物理学会年会)

Crystal Structures of Expressed Non-polymerizable Monomeric Actin in the ADP and ATP States

Actin filament growth and disassembly, as well as affinity for actin-binding proteins, is mediated by the nucleotide-bound state of the component actin monomers. The structural differences between ATP-actin and ADP-actin, however, remain controversial. We expressed a cytoplasmic actin in Sf9 cells, which was rendered non-polymerizable by virtue of two point mutations in subdomain 4 (A204E/P243K). This homogeneous monomer, called AP-actin, was crystallized in the absence of toxins, binding proteins, or chemical modification, with ATP or ADP at the active site. The two surface mutations do not perturb the structure. Significant differences between the two states are confined to the active site region and sensor loop. The active site cleft remains closed in both states. Minor structural shifts propagate from the active site toward subdomain 2, but dissipate before reaching the DNase binding loop (D-loop), which remains disordered in both the ADP and ATP states. This result contrasts with previous structures of actin made monomeric by modification with tetramethylrhodamine, which show formation of an alpha-helix at the distal end of the D-loop in the ADP-bound but not the ATP-bound form (Otterbein, L. R., Graceffa, P., and Dominguez, R. (2001) Science 293, 708-711). Our reanalysis of the TMR-modified actin structures suggests that the nucleotide-dependent formation of the D-loop helix may result from signal propagation through crystal packing interactions. Whereas the observed nucleotide-dependent changes in the structure present significantly different surfaces on the exterior of the actin monomer, current models of the actin filament lack any actin-actin interactions that involve the region of these key structural changes.

Effect of nucleotide on interaction of the 567–578 segment of myosin heavy chain with actin

To probe the effect of nucleotide on the formation of ionic contacts between actin and the 567–578 residue loop of the heavy chain of rabbit skeletal muscle myosin subfragment 1 (S1), the complexes between F-actin and proteolytic derivatives of S1 were submitted to chemical cross-linking with 1-ethyl-3-(3-dimethylaminopropyl)carbodiimide. We have shown that in the absence of nucleotide both 45 kDa and 5 kDa tryptic derivatives of the central 50 kDa heavy chain fragment of S1 can be cross-linked to actin, whereas in the presence of MgADP.AlF 4, only the 5 kDa fragment is involved in cross-linking reaction. By the identification of the N-terminal sequence of the 5-kDa fragment, we have found that trypsin splits the 50 kDa heavy chain fragment between Lys-572 and Gly-573, the residues located within the 567–578 loop. Using S1 preparations cleaved with elastase, we could show that the residue of 567–578 loop that can be cross-linked to actin in the presence of MgADP.AlF 4 is Lys-574. The observed nucleotide-dependent changes of the actin-subfragment 1 interface indicate that the 567–578 residue loop of skeletal muscle myosin participates in the communication between the nucleotide and actin binding sites.

Dynamic structures of motor proteins myosin and kinesin, and switch protein troponin as detected by SDSL-ESR

We have studied biological nano-machines, motor and switch proteins operating as supramolecular complexes by electron spin resonance (ESR) and found key features of their molecular movements. In all the systems, the specific movements of elements or domains were detected and quite dynamic at nanometer scale. We have observed two broad but distinct orientations, separated by a 25 degrees axial rotation, of a spin label attached specifically to the light chain (LC) domain of myosin motor in the muscle fibers. The distribution became only narrower upon muscle activation. ESR spectrum from the spin label of the neck-linker of dimeric kinesin motor consisted of immobilized and mobilized components and did not exhibit nucleotide-dependent mobility change. The distance between two labels of kinesin dimer was also measured by spin dipole-dipole interaction, showing a broad distribution and a nucleotide-dependent change on the nanometer scale (>1.5 nm). These results suggest that two LC domains of myosin and two neck linkers of kinesin play a similar role for sliding movement using two conformations. The spin label of the skeletal (Tn)-I regulatory domain (TnIreg) showed a large mobility change by Ca2+ ion suggesting a Ca-induced switch movement of TnIreg. Spin dipole-dipole interaction showed that in reconstituted muscle fibers both skeletal and cardiac TnC undergo Ca2+-induced structural change that is thought to be essential for TnIreg movement. We also succeeded in fixing the newly-synthesized bifunctional spin label rigidly on the TnC molecule in solution, indicating that we can determine the precise coordinate of the spin principal axis of troponin on the oriented filament.

Nucleotide Dependent Intrinsic Fluorescence Changes of W29 and W36 in Smooth Muscle Myosin

The intrinsic fluorescence of smooth muscle myosin is sensitive to both nucleotide binding and hydrolysis. We have examined this relationship by making MDE mutants containing a single tryptophan residue at each of the seven positions found in the wild-type molecule. Previously, we have demonstrated that a conserved tryptophan residue (W512) is a major contributor to nucleotide-dependent changes of intrinsic fluorescence in smooth muscle myosin. In this study, an MDE containing all the endogenous tryptophans except W512 (W512 KO-MDE) decreases in intrinsic fluorescence upon nucleotide binding, demonstrating that the intrinsic fluorescence enhancement of smooth muscle myosin is not solely due to W512. Candidates for the observed quench of intrinsic fluorescence in W512 KO-MDE include W29 and W36. Whereas the intrinsic fluorescence of W36-MDE is only slightly sensitive to nucleotide binding, that of W29-MDE is paradoxically both quenched and blue-shifted upon nucleotide binding. Steady-state and time-resolved experiments suggest that fluorescence intensity changes of W29 involve both excited-state and ground-state quenching mechanisms. These results have important implications for the role of the N-terminal domain (residues 1–76) in smooth muscle myosin in the molecular mechanism of muscle contraction.

Active site control of myosin cross-bridge zeta potential.

The electrical properties of contractile proteins contribute to muscle structure and perhaps function but have not been characterized adequately. Electrophoretic mobility, mu(e), is sensitive to the net electric charge and hydrodynamic size of a molecule in solution. Zeta potential, zeta, particle charge, Q(e), and particle charge-to-mass ratio are proportional to mu(e). We measured mu(e) for nucleotide complexes of skeletal muscle heavy meromyosin (HMM) and subfragment 1 (S1). The results indicate that mu(e) for HMM changes depending on the ligand bound in the active site. The changes in electric charge appear to occur mainly on the S1 moieties. For HMM(MgATPgammaS)(2) and HMM(MgADP.P(i))(2) the values of mu(e) are -0.077 and -0.17 (microm/s)/(V/cm), respectively. For these complexes, mu(e) is independent of [ATP], [ADP], and [P(i)]. When P(i) dissociates from HMM(MgADP.P(i))(2) to form HMM(MgADP)(2), mu(e) decreases to -0.61 (microm/s)/(V/cm). This large decrease in mu(e) is independent of free [ADP] or [ATP]. Increasing [P(i)], on the other hand, increases mu(e) for HMM(MgADP)(2) to values near those observed for the steady-state intermediate. For HMM, mu(e) = -0.34 and is independent of P(i). MgADP binding to HMM decreases mu(e) to -0.57 (microm/s)/(V/cm), and the dissociation constant is 9 microM. Taken together, these data indicate that mu(e) and, thus, zeta are controlled by ligand binding to the active site. The magnitudes of the particle charge-to-mass ratios for the HMM complexes are all in a range that falls within published values determined for a variety of other proteins. Possible roles that the observed nucleotide-dependent changes in cross-bridge electric charge might have in the contractile cycle in muscle are considered.