Theoretical considerations in the equilibrium binding of myosin fragments on F-actin

In a previous paper, equilibrium constants for the binding of myosin fragments onto F-actin were assumed known and the statistical problems encountered when the actin sites are occupied to an arbitrary fractional extent were analyzed. The object of the present paper is to attempt to understand the observed order of magnitude of these equilibrium constants in terms of the statistical mechanical degrees of freedom involved. That is, we examine here the equilibrium constants them- selves rather than the statistical consequences of the equilibrium constants. The treatment given amounts to a semi-quantitative sketch or outline of the problem. Structural details are much too uncertain to warrant a careful and rigorous treatment at this time. But the discussion suffices to establish the essential qualitative features of the problem. The procedure used is to exa- mine the important equilibrium constants, one at a time, in terms of the factors (partition functions) that contribute to each constant, together with numerical estimates for these factors.     

The effect of denervation upon the functional properties of myosin and its fragments.

A study has been made of some structural and enzymatic properties of myosin and its fragments from denervated white muscles of rabbit in the course of atrophy using different methods: UV-luminiscence, flow birefringence, electromicroscopy, viscosimetry and enzymatic measurements. All the studied parameters had a tendency to decrease; at prolonged observation some properties were partially restored. Considerable changes of structural properties of LMM were revealed: the ability of LMM from denervated muscle to form high-ordered structures which is characteristic of LMM from normal muscle decreased considerably.     

ADP binding to myosin cross-bridges and its effect on the cross-bridge detachment rate constants

We have studied the binding of adenosine diphosphate (ADP) to attached cross-bridges in chemically skinned rabbit psoas muscle fibers and the effect of that binding on the cross-bridge detachment rate constants. Cross-bridges with ADP bound to the active site behave very similarly to cross-bridges without any nucleotide at the active site. First, fiber stiffness is the same as in rigor, which presumably implies that, as in rigor, all the cross-bridges are attached. Second, the cross-bridge detachment rate constants in the presence of ADP, measured from the rate of decay of the force induced by a small stretch, are, over a time scale of minutes, similar to those seen in rigor. Because ADP binding to the active site does not cause an increase in the cross-bridge detachment rate constants, whereas binding of nucleotide analogues such as adenyl-5'-yl imidodiphosphate (AMP-PNP) and pyrophosphate (PPi) do, it was possible, by using ADP as a competitive inhibitor of PPi or AMP-PNP, to measure the competitive inhibition constant and thereby the dissociation constant for ADP binding to attached cross-bridges. We found that adding 175 microM ADP to 4 mM PPi or 4 mM AMP-PNP produces as much of a decrease in the apparent cross-bridge detachment rate constants as reducing the analogue concentration from 4 to 1 mM. This suggests that ADP is binding to attached cross-bridges with a dissociation constant of approximately 60 microM. This value is quite similar to that reported for ADP binding to actomyosin subfragment-1 (acto-S1) in solution, which provides further support for the idea that nucleotides and nucleotide analogues seem to bind about as strongly to attached cross-bridges in fibers as to acto-S1 in solution (Johnson, R.E., and P. H. Adams. 1984. FEBS Letters. 174:11-14; Schoenberg, M., and E. Eisenberg. 1985. Biophysical Journal. 48:863-871; Biosca, J.A., L.E. Greene, and E. Eisenberg. 1986. Journal of Biological Chemistry. 261:9793-9800).     

Calorimetric studies of the ADP binding to myosin subfragment 1, heavy meromyosin, and to myosin filaments.

A calorimetric titration method was used to study the ADP binding to the chymotryptic subfragments of myosin, heavy meromyosin (HMM) and myosin subfragment 1 (S-1), and to myosin aggregated into filaments at low ionic strength. The binding constant (K) and heat of reaction (deltaH, kiloJoules (moles of ADP bound)-1) were determined. For HMM in 0.5 M KCl, 0.01 M MgCl2, 0.02 M Tris (pH 7.8) at 12 degrees, log K = 5.92 +/- 0.13 and deltaH = -70.9 +/- 3.6 kJ mol-1. These results agree with our previous findings for myosin in 0.5 M KCl at 12 degrees. When the KCl concentration was reduced to 0.1 M, the binding constant did not change significantly (log K = 6.09 +/- 0.06) but the binding was more exothermic (deltaH = -90.1 +/- 3.3 kJ mol-1). Similar results were obtained for myosin filaments in 0.1 M KCl and also for both the isoenzymes of S-1(S-1(A1) and S-1(A2) in 0.1 M KCl. In 0.5 M KCl, the binding curves suggest that about one ADP is bound per active site, but as 0.1 M KCl, the apparent stoichiometry drops from 0.7 to 0.75. The most probable explanation is that there is some site heterogeneity which is more evident at lower ionic strength.     

Electrostatic contributions to the binding of myosin and myosin-MgADP to F-actin in solution

The ionic strength dependence of skeletal myosin subfragment 1 (S1) binding to unregulated F-actin was measured in solutions containing from 0 to 0.50 M added lithium acetate (LiOAc) in the absence and presence of MgADP. The data were analyzed by using a theory based on an ion interaction model that is rigorous for high ionic strength solutions [Pitzer, K. S. (1973) J. Phys. Chem. 77, 268-277] in order to obtain values for K, the equilibrium association constant when the ionic strength is zero, and for [zMzA[, the absolute value of the product of the net electric charges of the actin binding site on myosin (zM) and the myosin binding site on actin (zA). The presence of MgADP reduced K by a factor of 10, as expected, and reduced [zMzA[ by about 1 esu2. Because the presence of MgADP is not likely to change the net charge of the myosin binding site on actin, these data are consistent with a model in which MgADP binding to S1 reduces its affinity for actin by a mechanism that reduces the net electric charge of the acting binding site on S1. The value of [zMzA[ in the absence of ADP was 8.1 +/- 0.9 esu2, which, if one uses integer values, suggests that zM and zA are in the 8+ to 1+ esu and 1- to 8- esu ranges, respectively. ADP binding then reduces zM to the 7+ to 0.88+ esu range.     

The binding of Mn2+ and ADP to myosin

The metal ion requirement of myosin-ADP binding was investigated by use of Mn²⁺. Mn²⁺ binds to two sets of noninteracting sites on myosin which are characterized by affinity constants of 10⁶ and 10³, M⁻¹ at 0.016 M KCl concentration. The maximum number of sites is 2 for the high affinity and 20–25 for the low affinity set. Binding of Mn²⁺ to the high affinity sites increases the affinity of ADP binding to myosin. F-actin inhibits ADP binding (Kiely, B., and Martonosi, A., Biochim. Biophys. Acta 172: 158–170 [1969]), but even at F-actin concentrations much higher than that required to saturate the actin binding sites of myosin or its proteolytic fragments, significant ADP binding remained. The actin insensitive portion of ADP binding was inhibited by 10⁻⁴ M inorganic pyrophosphate or ATP. The results are discussed on the basis of a model in which actin and ADP bind to myosin at distinct but interacting sites.     

F-actin and myosin II binding domains in supervillin

Detergent-resistant membranes contain signaling and integral membrane proteins that organize cholesterol-rich domains called lipid rafts. A subset of these detergent-resistant membranes (DRM-H) exhibits a higher buoyant density ( approximately 1.16 g/ml) because of association with membrane skeleton proteins, including actin, myosin II, myosin 1G, fodrin, and an actin- and membrane-binding protein called supervillin (Nebl, T., Pestonjamasp, K. N., Leszyk, J. D., Crowley, J. L., Oh, S. W., and Luna, E. J. (2002) J. Biol. Chem. 277, 43399-43409). To characterize interactions among DRM-H cytoskeletal proteins, we investigated the binding partners of the novel supervillin N terminus, specifically amino acids 1-830. We find that the supervillin N terminus binds directly to myosin II, as well as to F-actin. Three F-actin-binding sites were mapped to sequences within amino acids approximately 280-342, approximately 344-422, and approximately 700-830. Sequences with combinations of these sites promote F-actin cross-linking and/or bundling. Supervillin amino acids 1-174 specifically interact with the S2 domain in chicken gizzard myosin and nonmuscle myosin IIA (MYH-9) but exhibit little binding to skeletal muscle myosin II. Direct or indirect binding to filamin also was observed. Overexpression of supervillin amino acids 1-174 in COS7 cells disrupted the localization of myosin IIB without obviously affecting actin filaments. Taken together, these results suggest that supervillin may mediate actin and myosin II filament organization at cholesterol-rich membrane domains.     

Myosin binding to actin. Structural analysis using myosin fragments

The actin-binding property of the myosin head 20 K (K = 10(3) Mr) fragment has been examined by a structural assay. A new fragment is produced by digestion of scallop myosin synthetic filaments with a lysine-specific protease. This fragment consists of the rod together with two "nubs" corresponding to the 20 K fragment, which retain both the regulatory and essential light chains. Myosin filaments, digested for different lengths of time, were mixed with F-actin and visualized by electron microscopy after negative staining. When the head is cleaved, but the head fragments remain associated, the filaments bind actin in an ATP-sensitive manner. Filaments made primarily of the nub-containing fragments, however, bind actin very poorly. In addition, electron microscopic characterization of actin-binding by the isolated tryptic 20 K fragment from chicken myosin indicates that binding of this fragment to actin is probably non-specific. These results suggest that interactions between the 20 K region and the other peptides in the head are essential for actin-binding.     

The binding of skeletal muscle C-protein to F-actin, and its relation to the interaction of actin with myosin subfragment-1.

C-protein is a component of thick filaments of skeletal muscle myofibrils. It is bound to the assembly of myosin tails that forms the filament backbone. We report here that C-protein can also bind to F-actin, with a limiting stoichiometry of approximately one C-protein molecule per 3 to 5 actin subunits and a dissociation constant in the micromolar range at ionic strength 0·07. The binding is not significantly affected by ATP, calcium ions or temperature, or by the presence of tropomyosin on the actin, but it is weakened by increasing ionic strength. Myosin subfragment-1 (S-1) competes with C-protein for binding to actin. In the absence of ATP, S-1 displaces nearly all bound C-protein from actin, while in the presence of ATP, C-protein inhibits the actin activation of S-1 ATPase. Although there is no direct evidence that interaction of C-protein with actin is physiologically significant, the lenght of the C-protein molecule is sufficient so that it could make contact with the thin filaments in muscle while remaining attached to the thick filaments.     

Changes in the thermal unfolding of p-phenylenedimaleimide-modified myosin subfragment 1 induced by its 'weak' binding to F-actin

Differential scanning calorimetry (DSC) was used to analyze the thermal unfolding of myosin subfragment 1 (S1) with the SH1 (Cys-707) and SH2 (Cys-697) groups cross-linked by N,N'-p-phenylenedimaleimide (pPDM-S1). It has been shown that F-actin affects the thermal unfolding of pPDM-S1 only at very low ionic strength, when some part of pPDM-S1 binds weakly to F-actin, but not at higher ionic strength (200 mM KCl). The weak binding of pPDM-S1 to F-actin shifted the thermal transition of pPDM-S1 by about 5 degrees C to a higher temperature. This actin-induced increase in thermal stability of pPDM-S1 was similar to that observed with 'strong' binding of unmodified S1 to F-actin. Our results show that actin-induced structural changes revealed by DSC in the myosin head occur not only upon strong binding but also on weak binding of the head to F-actin, thus suggesting that these changes may occur before the power-stroke and play an important role in the motor function of the head.     

Proteolytic cleavage of actin within the DNase-I-binding loop changes the conformation of F-actin and its sensitivity to myosin binding

Effects of subtilisin cleavage of actin between residues 47 and 48 on the conformation of F-actin and on its changes occurring upon binding of myosin subfragment-1 (S1) were investigated by measuring polarized fluorescence from rhodamine-phalloidin- or 1, 5-IAEDANS-labeled actin filaments reconstructed from intact or subtilisin-cleaved actin in myosin-free muscle fibers (ghost fibers). In separate experiments, polarized fluorescence from 1, 5-IAEDANS-labeled S1 bound to non-labeled actin filaments in ghost fibers was measured. The measurements revealed differences between the filaments of cleaved and intact actin in the orientation of rhodamine probe on the rhodamine-phalloidin-labeled filaments, orientation and mobility of the C-terminus of actin, filament flexibility, and orientation and mobility of the myosin heads bound to F-actin. The changes in the filament flexibility and orientation of the actin-bound fluorophores produced by S1 binding to actin in the absence of ATP were substantially diminished by subtilisin cleavage of actin. The results suggest that loop 38-52 plays an important role, not only in maintaining the F-actin structure, but also in the conformational transitions in actin accompanying the strong binding of the myosin heads that may be essential for the generation of force and movement during actin-myosin interaction.     

Binding of myosin subfragment-1 to F-actin.

During a part of the hydrolytic cycle, myosin head (S1) carries no nucleotide and binds strongly to an actin filament forming a rigor bond. At saturating concentration of S1 in rigor, S1 is well known to form 1:1 complex with actin. However, we have provided evidence that under certain conditions S1 could also form a complex with 2 actin monomers in a filament (Andreev, O.A. & Borejdo, J. (1991) Biochem. Biophys. Res. Comm. 177, 350-356). This view was recently challenged by Carlier & Didry (Carlier, M-F. & Didry, D. (1992) Biochem. Biophys. Res. Comm. 183, 970-974) who interpreted our data by suggesting that F-actin underwent a simple depolymerization and implied that, when only actin in the F-form was scored, the real stoichiometry in our experiments was 1:1. We show here that under conditions of our experiments less than 8% of actin was depolymerized. Moreover, we have repeated the experiments in the presence of phalloidin and show that under these conditions too, when S1 was added slowly to a fixed concentration of F-actin, it formed a different complex with F-actin than when it was added quickly. This confirms our original conclusion that S1 can bind actin in two different ways and shows that depolymerization of F-actin is not responsible for this finding.     

Parking problem and negative cooperativity of binding of myosin subfragment 1 to F-actin

Previously we provided evidence that myosin subfragment 1 (S1) can bind either one (state 1) or two actin monomers (state 2) in solution and in muscle fiber. Here we present results of the kinetics study of binding of S1 to F-actin labeled with fluorescent dye pyrene. A transition from state 1 to state 2 depends on probability that the second actin is free, which is high when molar ratio of S1/actin (R) is less than 0.5, and it decreases dramatically when R>2.0 due to the parking problem. The kinetics data obtained at different molar ratios were well fitted by two binding states model. The sequential binding of myosin head initially with one actin monomer and then with the second actin monomer in F-actin can play a key role in force generation by actin-myosin and their directed movement.     

High-affinity binding of cytochalasin B to the B-end of F-actin loses its inhibitory effect on subunit exchange when the bound nucleotide is ADP.

We investigated the mode of binding of cytochalasin B (CB) to F-actin in an ADP-solution with and without inorganic phosphate (Pi). In the presence of Pi (20 mM), a filament of F-actin had a single high-affinity CB binding site (Kd = 1.4 nM), just like in the case of an ATP-solution [Kd = 5.0 nM: Suzuki, N. & Mihashi, K. (1991) J. Biochem. 109, 19-23]. But in the absence of Pi, there were two low-affinity (Kd = 200 nM) CB binding sites as well as one high-affinity site (Kd = 1.6 nM). We determined the concentration of CB necessary for half-maximal inhibition of growth or shortening of F-actin (Ki) using of pyrene-labeled actin. We obtained Ki = 80 nM for growth and Ki = 800 nM for shortening in the presence of ATP. The addition of Pi to the ATP-solution reduced Ki for growth to 9 nM. We propose a model explaining these results. In the model, high-affinity CB binding to the terminal subunit dimer can inhibit subunit exchange at the B-end only when the terminal subunits bind ATP or ADP.Pi. When the terminal subunits bind ADP, additional low-affinity CB bindings to the terminal subunits are needed to inhibit the subunit exchange.     

The N-terminal domains of myosin binding protein C can bind polymorphically to F-actin

The regulation of vertebrate striated muscle contraction involves a number of different molecules, including the thin-filament accessory proteins tropomyosin and troponin that provide Ca²⁺-dependent regulation by controlling access to myosin binding sites on actin. Cardiac myosin binding protein C (cMyBP-C) appears to modulate this Ca²⁺-dependent regulation and has attracted increasing interest due to links with inherited cardiac diseases. A number of single amino acid mutations linked to clinical diseases occur in the N-terminal region of cMyBP-C, including domains C0 and C1, which previously have been shown to bind to F-actin. This N-terminal region also has been shown to both inhibit and activate actomyosin interactions in vitro. Using electron microscopy and three-dimensional reconstruction, we show that C0 and C1 can each bind to the same two distinctly different positions on F-actin. One position aligns well with the previously reported binding site that clashes with the binding of myosin to actin, but would force tropomyosin into an “on” position that exposes myosin binding sites along the filament. The second position identified here would not interfere with either myosin binding or tropomyosin positioning. It thus appears that the ability to bind to at least two distinctly different positions on F-actin, as observed for tropomyosin, may be more common than previously considered for other actin binding proteins. These observations help to explain many of the seemingly contradictory results obtained with cMyBP-C and show how cMyBP-C can provide an additional layer of regulation to actin-myosin interactions. They also suggest a redundancy of C0 and C1 that may explain the absence of C0 in skeletal muscle.     

Substructure of the myosin molecule: IV. Interactions of myosin and its subfragments with adenosine triphosphate and F-actin

The enzymic activity of several single-headed subfragments of myosin (HMM S-1 and single-headed HMM) has been compared to the double-headed derivative of myosin (HMM) both in the presence and absence of aetin. Under the assay conditions of our experiments, we find that HMM hydrolyses ATP at approximately twice the rate of any single-headed species. These results suggest a relatively independent functional role for each of the two heads of the myosin molecule.An attempt has been made to determine the stoichiometry of association between subfragments and actin, either in the absence of nucleotide or during the hydrolysis of ATP. It was originally thought that a comparison of the maximum turnover rate of HMM at infinite concentrations of actin with the maximum rate at infinite concentrations of enzyme (but with a fixed amount of actin) would yield the combining ratio of actin to HMM. However, the considerable variation of ATP turnover rates with the conditions of the experiment has made it impossible to reach any firm conclusions regarding stoichiometry. A more direct approach to the question of stoichiometry is possible in the absence of ATP. By reacting varying amounts of F-actin with a given concentration of subfragment and centrifuging the resulting complex, it is possible to determine the unbound concentration of subfragment in the supernatant. These data provide sufficient information to construct a Scatchard plot and show that twice as many moles of actin are bound by HMM as by HMM S-1. Furthermore, the association constant of actin for HMM is several orders of magnitude higher than that for the single-headed species.In connection with the question of why myosin has two “heads”, we have examined the ability of single-headed molecules to undergo the phenomenon of “superprecipitation”. We find that single-headed myosin (the preparation of which was discussed in the preceding paper) is able to superprecipitate in much the same manner as native myosin.We conclude from these studies that each head of the myosin molecule is able to function in a relatively independent fashion. These studies do not, of course, exclude the possibility of more subtle interactions between the heads of myosin which our techniques are not able to detect.     

ADP binding induces an asymmetry between the heads of unphosphorylated myosin

Light chain phosphorylation is the key event that regulates smooth and non-muscle myosin II ATPase activity. Here we show that both heads of smooth muscle heavy meromyosin (HMM) bind tightly to actin in the absence of nucleotide, irrespective of the state of light chain phosphorylation. In striking contrast, only one of the two heads of unphosphorylated HMM binds to actin in the presence of ADP, and the heads have different affinities for ADP. This asymmetry suggests that phosphorylation alters the mechanical coupling between the heads of HMM. A model that incorporates strain between the two heads is proposed to explain the data, which have implications for how one head of a motor protein can gate the response of the other.