Rate Of Cross-bridge Attachment Research Articles

Effect of active shortening and stretching on the rate of force re-development in rabbit psoas muscle fibres

The steady-state isometric force produced by skeletal muscle after active shortening and stretching is depressed and enhanced, respectively, compared with purely isometric force produced at corresponding final lengths and at the same level of activation. One hypothesis proposed to account for these force depression (FD) and force enhancement (FE) properties is a change in cross-bridge cycling kinetics. The rate of cross-bridge attachment (f) and/or cross-bridge detachment (g) may be altered following active shortening and active stretching, leading to FD and FE, respectively. Experiments elucidating cross-bridge kinetics in actively shortened and stretched muscle preparations and their corresponding purely isometric contractions have yet to be performed. The aim of this study was to investigate cross-bridge cycling kinetics of muscle fibres at steady-state following active shortening and stretching. This was done by determining muscle fibre stiffness and rate of active force redevelopment following a quick release-re-stretch protocol (kTR). Applying these measures to equations previously used in the literature for a two-state cross-bridge cycling model (attached/detached cross-bridges) allowed us to determine apparent f and g, the proportion of attached cross-bridges, and the force produced per cross-bridge. kTR, apparent f and g, the proportion of attached cross-bridges and the force produced per cross-bridge were significantly decreased following active shortening compared with corresponding purely isometric contractions, indicating a change in cross-bridge cycling kinetics. Additionally, we showed no change in cross-bridge cycling kinetics following active stretch compared with corresponding purely isometric contractions. These findings suggest that FD is associated with changes in cross-bridge kinetics, whereas FE is not.

Insights into Muscle Contraction Derived from the Effects of Small-Molecular Actomyosin-Modulating Compounds.

Bottom-up mechanokinetic models predict ensemble function of actin and myosin based on parameter values derived from studies using isolated proteins. To be generally useful, e.g., to analyze disease effects, such models must also be able to predict ensemble function when actomyosin interaction kinetics are modified differently from normal. Here, we test this capability for a model recently shown to predict several physiological phenomena along with the effects of the small molecular compound blebbistatin. We demonstrate that this model also qualitatively predicts effects of other well-characterized drugs as well as varied concentrations of MgATP. However, the effects of one compound, amrinone, are not well accounted for quantitatively. We therefore systematically varied key model parameters to address this issue, leading to the increased amplitude of the second sub-stroke of the power stroke from 1 nm to 2.2 nm, an unchanged first sub-stroke (5.3–5.5 nm), and an effective cross-bridge attachment rate that more than doubled. In addition to better accounting for the effects of amrinone, the modified model also accounts well for normal physiological ensemble function. Moreover, a Monte Carlo simulation-based version of the model was used to evaluate force–velocity data from small myosin ensembles. We discuss our findings in relation to key aspects of actin–myosin operation mechanisms causing a non-hyperbolic shape of the force–velocity relationship at high loads. We also discuss remaining limitations of the model, including uncertainty of whether the cross-bridge elasticity is linear or not, the capability to account for contractile properties of very small actomyosin ensembles (<20 myosin heads), and the mechanism for requirements of a higher cross-bridge attachment rate during shortening compared to during isometric contraction.

Functional significance of C-terminal mobile domain of cardiac troponin I

Ca2+-regulation of cardiac contractility is mediated through the troponin complex, which comprises three subunits: cTnC, cTnI, and cTnT. As intracellular [Ca2+] increases, cTnI reduces its binding interactions with actin to primarily interact with cTnC, thereby enabling contraction. A portion of this regulatory switching involves the mobile domain of cTnI (cTnI-MD), the role of which in muscle contractility is still elusive. To study the functional significance of cTnI-MD, we engineered two cTnI constructs in which the MD was truncated to various extents: cTnI(1–167) and cTnI(1–193). These truncations were exchanged for endogenous cTnI in skinned rat papillary muscle fibers, and their influence on Ca2+-activated contraction and cross-bridge cycling kinetics was assessed at short (1.9 μm) and long (2.2 μm) sarcomere lengths (SLs). Our results show that the cTnI(1–167) truncation diminished the SL-induced increase in Ca2+-sensitivity of contraction, but not the SL-dependent increase in maximal tension, suggesting an uncoupling between the thin and thick filament contributions to length dependent activation. Compared to cTnI(WT), both truncations displayed greater Ca2+-sensitivity and faster cross-bridge attachment rates at both SLs. Furthermore, cTnI(1–167) slowed MgADP release rate and enhanced cross-bridge binding. Our findings imply that cTnI-MD truncations affect the blocked-to closed-state transition(s) and destabilize the closed-state position of tropomyosin.

Functional Significance of C-Terminal Mobile Domain of Cardiac Troponin I

C-terminal mobile domain of cTnI (cTnI-MD, residues 168-210) is a highly conserved region which plays important roles in regulating myofilament function. Due to the unresolved structure of the region, it is still unclear how cTnI-MD plays a role in modulating the sarcomere length (SL)-dependent and Ca2+-induced effects on cardiac contractility. In this study, the functional significance of the MD in contractile behavior of skinned rat papillary muscle fibers and SL dependent activation was studied by truncation of the entire MD (cTnI(1-167)) and the C-terminus of MD (cTnI(1-193)). We hypothesized that different truncations may have different impacts on SL-dependent Ca2+-regulation of tension development and cross-bridge cycling. To test this hypothesis, the tension-pCa relationships and myosin cross-bridge kinetics were measured as cTnI(1-167) and cTnI(1-193) were exchanged into skinned rat papillary muscle fibers at short (SL=1.9µm) and long SLs (SL=2.2µm). Our results indicate that the SL induced enhancement of Ca2+-sensitivity and cooperativity observed in wild-type fibers is preserved in cTnI(1-193) and is diminished in cTnI(1-167) fibers. cTnI(1-167) truncation resulted in enhanced maximum tension and cooperativity of Ca2+-activation compared to cTnI(WT) and cTnI(1-193) and enhanced Ca2+-sensitivity compared to cTnI(WT) at both short and long SLs. cTnI(1-193) truncation resulted in enhanced myofilament Ca2+-sensitivity at both SLs and a depressed maximum tension just at long SL. Both cTnI-MD truncations showed a faster cross-bridge attachment rate at both SLs. Compared to cTnI(WT), cTnI(1-167) showed a slower cross-bridge detachment rate while cTnI(1-193) showed a faster cross-bridge detachment rate at long SL. The results of our study indicate that the truncation of cTnI-MD at different regions causes destabilization of the closed-state position of tropomyosin suggested by the observed increase in the cross-bridge attachment rate to thin filament as well as Ca2+-sensitivity of tension development at both sarcomere lengths.

Impact of Para-Nitroblebbistatin on Human Beta-Cardiac Myosin at the Molecular and Tissue Levels

Inherited cardiomyopathies are a common form of heart disease caused by mutations in sarcomeric proteins with beta cardiac myosin being one of the most frequently affected genes. Since the discovery of the first cardiomyopathy associated mutation in beta-cardiac myosin, a major goal has been to correlate the in vitro myosin motor properties with the contractile performance of cardiac muscle. Mutations that cause hypertrophic cardiomyopathy are the most common form of the disease and are often associated with increased isometric force and hyper-contractility. Therefore, the development of drugs designed to decrease isometric force by reducing the duty ratio (the proportion of ATPase cycle time myosin spends bound to actin) has been proposed for the treatment of hypertrophic cardiomyopathy. There is still no consensus about whether hypertrophic mutations in beta-cardiac myosin increase myofilament calcium sensitivity as is commonly found in troponin mutations. We examine the impact of a small molecule drug proposed to decrease duty ratio (para-Nitroblebbistatin) using purified human beta cardiac myosin motor assays and studies of permeabilized human cardiac muscle mechanics. We find that this drug reduces actin-activated ATPase and in vitro motility while not changing the ADP release rate constant. Thus, the reduction in the in vitro sliding velocity is likely due to a slowing of attachment rate. In muscle fiber studies we found that para-Nitroblebbistatin reduces steady-state force and calcium sensitivity but does not change maximum contractile velocity and the rate of force development. These results support a model in which the drug reduces the duty ratio without altering the kinetics of attached crossbridges. Thus, small molecule drugs that target the crossbridge attachment rate are an attractive strategy since they are capable of reducing the force generating capacity and calcium sensitivity without altering contractile velocity.

Actomyosin-ADP States, Interhead Cooperativity, and the Force-Velocity Relation of Skeletal Muscle

Despite intense efforts to elucidate the molecular mechanisms that determine the maximum shortening velocity and the shape of the force-velocity relationship in striated muscle, our understanding of these mechanisms remains incomplete. Here, this issue is addressed by means of a four-state cross-bridge model with significant explanatory power for both shortening and lengthening contractions. Exploration of the parameter space of the model suggests that an actomyosin-ADP state (AM∗ADP) that is separated from the actual ADP release step by a strain-dependent isomerization is important for determining both the maximum shortening velocity and the shape of the force-velocity relationship. The model requires a velocity-dependent, cross-bridge attachment rate to account for certain experimental findings. Of interest, the velocity dependence for shortening contraction is similar to that for population of the AM∗ADP state (with a velocity-independent attachment rate). This accords with the idea that attached myosin heads in the AM∗ADP state position the partner heads for rapid attachment to the next site along actin, corresponding to the apparent increase in attachment rate in the model.

Actomyosin ADP-States, Non-Hyperbolic Force-Velocity Relation and Processivity of Myosin II in Fast Skeletal Muscle

The force-velocity relation of striated muscle is incompletely understood with respect to the molecular basis for the maximum shortening velocity and for the non-hyperbolic shape at high forces (low velocities). These, and related issues, are here elucidated using a four-state actomyosin cross-bridge model. Exploration of the parameter space of the model suggests that an actomyosin-ADP state (AM∗ADP) with a closed nucleotide pocket, or rather the strain-dependent transition out of this state, has a pivotal role in influencing both the maximum shortening velocity and the shape of the force-velocity relation in the high-force region. Another model property that influences the shape of the high-force region is the detailed dependence of cross-bridge attachment rate on cross-bridge strain. Here, the modelling results argue against ideas of high attachment rate for highly strained cross-bridges. Finally, evidence is presented that actin attached myosin heads (in the AM∗ADP state) have the appropriate structural and kinetic properties to position the partner head for rapid attachment to the next site along the actin filament. This would be reminiscent of the role of the corresponding state of myosin V and could form the basis for limited processivity of muscle myosin II to increase the power output during shortening against intermediate loads.

Altered myofilament function depresses force generation in patients with nebulin-based nemaline myopathy (NEM2)

Nemaline myopathy (NM), the most common non-dystrophic congenital myopathy, is clinically characterized by muscle weakness. However, the mechanisms underlying this weakness are poorly understood. Here, we studied the contractile phenotype of skeletal muscle from NM patients with nebulin mutations (NEM2). SDS-PAGE and Western blotting studies revealed markedly reduced nebulin protein levels in muscle from NM patients, whereas levels of other thin filament-based proteins were not significantly altered. Muscle mechanics studies indicated significantly reduced calcium sensitivity of force generation in NM muscle fibers compared to control fibers. In addition, we found slower rate constant of force redevelopment, as well as increased tension cost, in NM compared to control fibers, indicating that in NM muscle the rate of cross-bridge attachment is reduced, whereas the rate of cross-bridge detachment is increased. The resulting reduced fraction of force generating cross-bridges is expected to greatly impair the force generating capacity of muscle from NM patients. Thus, the present study provides important novel insights into the pathogenesis of muscle weakness in nebulin-based NM.

Single molecule kinetics in the familial hypertrophic cardiomyopathy D166V mutant mouse heart

One of the sarcomeric mutations associated with a malignant phenotype of familial hypertrophic cardiomyopathy (FHC) is the D166V point mutation in the ventricular myosin regulatory light chain (RLC) encoded by the MYL2 gene. In this report we show that the rates of myosin cross-bridge attachment and dissociation are significantly different in isometrically contracting cardiac myofibrils from right ventricles of transgenic (Tg)-D166V and Tg-WT mice. We have derived the myosin cross-bridge kinetic rates by tracking the orientation of a fluorescently labeled single actin molecule. Orientation (measured by polarized fluorescence) oscillated between two states, corresponding to the actin-bound and actin-free states of the myosin cross-bridge. The rate of cross-bridge attachment during isometric contraction decreased from 3 s−1 in myofibrils from Tg-WT to 1.4 s−1 in myofibrils from Tg-D166V. The rate of detachment decreased from 1.3 s−1 (Tg-WT) to 1.2 s−1 (Tg-D166V). We also showed that the level of RLC phosphorylation was largely decreased in Tg-D166V myofibrils compared to Tg-WT. Our findings suggest that alterations in the myosin cross-bridge kinetics brought about by the D166V mutation in RLC might be responsible for the compromised function of the mutated hearts and lead to their inability to efficiently pump blood.

Tropomyosin Phosphorylation Has Filament-Level And Crossbridge-Level Effects On Actin-Myosin Interactions

The α-isoform of tropomyosin (Tm) can be phosphorylated near the C-terminus, and dephosphorylation of Tm has been shown to decrease actin-myosin ATPase rates (Heeley et al., 1989). Additionally, Tm polymerizes with adjacent Tm molecules in a head-to-tail manner. Phosphorylation of Tm might therefore influence the strength of these interactions, and thus regulate the degree of cooperative activation by myosin binding. We tested Tm phosphorylation effects by measuring the force and velocity of actin-myosin interactions at the level of single actin filaments using a combination of actin-Tm binding assays, in vitro motility assays, and a novel, high throughput laser trap assay to measure isometric force. In these assays we used purified heavy meromyosin (HMM) and actin filaments reconstituted with either natively phosphorylated or dephosphorylated Tm. Dephosphorylation of Tm did not result in significant changes in actin-Tm binding or unloaded sliding velocities. Isometric force measurements showed that thin filaments were cooperatively activated by myosin, but only when Tm was phosphorylated. When Tm was dephosphorylated, the reconstituted filaments behaved like bare actin filaments. These results suggest transmission of cooperative activation beyond one thin filament regulatory unit when Tm is phosphorylated. Moreover, Tm phosphorylation increased isometric force production ∼50% compared to bare actin filaments at intermediate HMM surface densities. In combination with sliding velocity data, this result suggests that Tm phosphorylation may have effects at the level of a single crossbridge that cannot be explained by steric hindrance. We hypothesize that Tm phosphorylation accelerates the rate of crossbridge attachment. Single molecule kinetic and force spectroscopy experiments are underway to gain insight on this possibility.

Fluorescence Lifetime of Actin in the Familial Hypertrophic Cardiomyopathy Transgenic Heart

Clinical studies have revealed that the D166V mutation in the ventricular myosin regulatory light chain (RLC) can cause a malignant phenotype of familial hypertrophic cardiomyopathy (FHC). It has been proposed that RLC induced FHC in the heart originates at the level of the myosin cross-bridge due to alterations in the rates of cross-bridge cycling. In this report, we examine whether the environment of an active cross-bridge in cardiac myofibrils from transgenic (Tg) mice is altered by the D166V mutation in RLC. The cross-bridge environment was monitored by tracking the fluorescence lifetime (tau) of Alexa488-phalloidin-labeled actin. The fluorescence lifetime is the average rate of decay of a fluorescent species from the excited state, which strongly depends on various environmental factors. We observed that the lifetime was high when cross-bridges were bound to actin and low when they were dissociated from it. The lifetime was measured every 50 ms from the center half of the I-band during 60 s of rigor, relaxation and contraction of muscle. We found no differences between lifetimes of Tg-WT and Tg-D166V muscle during rigor, relaxation and contraction. The duty ratio expressed as a fraction of time that cross-bridges spend attached to the thin filaments during isometric contraction was similar in Tg-WT and Tg-D166V muscles. Since independent measurements showed a large decrease in the cross-bridge turnover rate in Tg-D166V muscle compared to Tg-WT, the fact that the duty cycle remains constant suggests that the D166V mutation of RLC causes a decrease in the rate of cross-bridge attachment to actin.

Effects of a R133W β‐tropomyosin mutation on regulation of muscle contraction in single human muscle fibres

A novel R133W beta-tropomyosin (beta-Tm) mutation, associated with muscle weakness and distal limb deformities, has recently been identified in a woman and her daughter. The muscle weakness was not accompanied by progressive muscle wasting or histopathological abnormalities in tibialis anterior muscle biopsy specimens. The aim of the present study was to explore the mechanisms underlying the impaired muscle function in patients with the beta-Tm mutation. Maximum force normalized to fibre cross-sectional area (specific force, SF), maximum velocity of unloaded shortening (V0), apparent rate constant of force redevelopment (ktr) and force-pCa relationship were evaluated in single chemically skinned muscle fibres from the two patients carrying the beta-Tm mutation and from healthy control subjects. Significant differences in regulation of muscle contraction were observed in the type I fibres: a lower SF (P<0.05) and ktr (P<0.01), and a faster V0 (P<0.05). The force-pCa relationship did not differ between patient and control fibres, indicating an unaltered Ca2+ activation of contractile proteins. Collectively, these results indicate a slower cross-bridge attachment rate and a faster detachment rate caused by the R133W beta-Tm mutation. It is suggested that the R133W beta-Tm mutation induces alteration in myosin-actin kinetics causing a reduced number of myosin molecules in the strong actin-binding state, resulting in overall muscle weakness in the absence of muscle wasting.

Depression of force production and ATPase activity in different types of human skeletal muscle fibers from patients with chronic heart failure

Isometric force production and ATPase activity were determined simultaneously in single human skeletal muscle fibers (n = 97) from five healthy volunteers and nine patients with chronic heart failure (CHF) at 20 degrees C. The fibers were permeabilized by means of Triton X-100 (1% vol/vol). ATPase activity was determined by enzymatic coupling of ATP resynthesis to the oxidation of NADH. Calcium-activated actomyosin (AM) ATPase activity was obtained by subtracting the activity measured in relaxing (pCa = 9) solutions from that obtained in maximally activating (pCa = 4.4) solutions. Fiber type was determined on the basis of myosin heavy chain isoform composition by polyacrylamide SDS gel electrophoresis. AM ATPase activity per liter cell volume (+/-SE) in the control and patient group, respectively, amounted to 134 +/- 24 and 77 +/- 9 microM/s in type I fibers (n = 11 and 16), 248 +/- 17 and 188 +/- 13 microM/s in type IIA fibers (n = 14 and 32), 291 +/- 29 and 126 +/- 21 microM/s in type IIA/X fibers (n = 3 and 5), and 325 +/- 32 and 205 +/- 21 microM/s in type IIX fibers (n = 7 and 9). The maximal isometric force per cross-sectional area amounted to 64 +/- 7 and 43 +/- 5 kN/m(2) in type I fibers, 86 +/- 11 and 58 +/- 4 kN/m(2) in type IIA fibers, 85 +/- 6 and 42 +/- 9 kN/m(2) in type IIA/X fibers, and 90 +/- 5 and 59 +/- 5 kN/m(2) in type IIX fibers in the control and patient group, respectively. These results indicate that, in CHF patients, significant reductions occur in isometric force and AM ATPase activity but that tension cost for each fiber type remains the same. This suggests that, in skeletal muscle from CHF patients, a decline in density of contractile proteins takes place and/or a reduction in the rate of cross-bridge attachment of approximately 30%, which exacerbates skeletal muscle weakness due to muscle atrophy.

Expression of cardiac troponin T with COOH-terminal truncation accelerates cross-bridge interaction kinetics in mouse myocardium.

Transgenic mice expressing an allele of cardiac troponin T (cTnT) with a COOH-terminal truncation (cTnT(trunc)) exhibit severe diastolic and mild systolic dysfunction. We tested the hypothesis that contractile dysfunction in myocardium expressing low levels of cTnT(trunc) (i.e., <5%) is due to slowed cross-bridge kinetics and reduced thin filament activation as a consequence of reduced cross-bridge binding. We measured the Ca(2+) sensitivity of force development [pCa for half-maximal tension generation (pCa(50))] and the rate constant of force redevelopment (k(tr)) in cTnT(trunc) and wild-type (WT) skinned myocardium both in the absence and in the presence of a strong-binding, non-force-generating derivative of myosin subfragment-1 (NEM-S1). Compared with WT mice, cTnT(trunc) mice exhibited greater pCa(50), reduced steepness of the force-pCa relationship [Hill coefficient (n(H))], and faster k(tr) at submaximal Ca(2+) concentration ([Ca(2+)]), i.e., reduced activation dependence of k(tr). Treatment with NEM-S1 elicited similar increases in pCa(50) and similar reductions in n(H) in WT and cTnT(trunc) myocardium but elicited greater increases in k(tr) at submaximal activation in cTnT(trunc) myocardium. Contrary to our initial hypothesis, cTnT(trunc) appears to enhance thin filament activation in myocardium, which is manifested as significant increases in Ca(2+)-activated force and the rate of cross-bridge attachment at submaximal [Ca(2+)]. Although these mechanisms would not be expected to depress systolic function per se in cTnT(trunc) hearts, they would account for slowed rates of myocardial relaxation during early diastole.

Isotonic force modulates force redevelopment rate of intact frog muscle fibres: evidence for cross‐bridge induced thin filament activation

We tested the hypothesis that force-velocity history modulates thin filament activation, as assessed by the rate of force redevelopment after shortening (+dF/dt(R)). The influence of isotonic force on +dF/dt(R) was assessed by imposing uniform amplitude (2.55 to 2.15 microm sarcomere(-1)) but different speed releases to intact frog muscle fibres during fused tetani. Each release consisted of a contiguous ramp- and step-change in length. Ramp speed was changed from release to release to vary fibre shortening speed from 1.00 (2.76 +/- 0.11 microm half-sarcomere(-1) s(-1)) to 0.30 of maximum unloaded shortening velocity (V(u)), thereby modulating isotonic force from 0 to 0.34 F(o), respectively. The step zeroed force and allowed the fibre to shorten unloaded for a brief period of time prior to force redevelopment. Although peak force redevelopment after different releases was similar, +dF/dt(R) increased by 81 +/- 6 % (P < 0.05) as fibre shortening speed was reduced from 1.00 V(u). The +dF/dt(R) after different releases was strongly correlated with the preceding isotonic force (r = 0.99, P < 0.001). Results from additional experiments showed that the slope of slack test plots produced by systematically increasing the step size that followed each ramp were similar. Thus, isotonic force did not influence V(u) (mean: 2.84 +/- 0.10 microm half-sarcomere(-1) s(-1), P < 0.05). We conclude that isotonic force modulates +dF/dt(R) independent of change in V(u), an outcome consistent with a cooperative influence of attached cross-bridges on thin filament activation that increases cross-bridge attachment rate without alteration to cross-bridge detachment rate.

Cross-bridge interaction kinetics in rat myocardium are accelerated by strong binding of myosin to the thin filament.

To determine the ability of strong-binding myosin cross-bridges to activate the myocardial thin filament, we examined the Ca2+ dependence of force and cross-bridge interaction kinetics at 15 degrees C in the absence and presence of a strong-binding, non-force-generating derivative of myosin subfragment-1 (NEM-S1) in chemically skinned myocardium from adult rats. Relative to control conditions, application of 6 microM NEM-S1 significantly increased Ca2+-independent tension, measured at pCa 9.0, from 0.8 +/- 0.3 to 3.7 +/- 0.8 mN mm-2. Furthermore, NEM-S1 potentiated submaximal Ca2+-activated forces and thereby increased the Ca2+ sensitivity of force, i.e. the [Ca2+] required for half-maximal activation (pCa50) increased from pCa 5.85 +/- 0.05 to 5.95 +/- 0.04 (change in pCa50 (dpCa50) = 0.11 +/- 0.02). The augmentation of submaximal force by NEM-S1 was accompanied by a marked reduction in the steepness of the force-pCa relationship for forces less than 0.50 Po (maximum Ca2+-activated force), i.e. the Hill coefficient (n2) decreased from 4.72 +/- 0.38 to 1.54 +/- 0.07. In the absence of NEM-S1, the rate of force redevelopment (ktr) was found to increase from 1.11 +/- 0.21 s-1 at submaximal [Ca2+] (pCa 6.0) to 9.28 +/- 0.41 s-1 during maximal Ca2+ activation (pCa 4.5). Addition of NEM-S1 reduced the Ca2+ dependence of ktr by eliciting maximal values at low levels of Ca2+, i.e. ktr was 9.38 +/- 0.30 s-1 at pCa 6.6 compared to 9.23 +/- 0.27 s-1 at pCa 4. At intermediate levels of Ca2+, ktr was less than maximal but was still greater than values obtained at the same pCa in the absence of NEM-S1. NEM-S1 dramatically reduced both the extent and rate of relaxation from steady-state submaximal force following flash photolysis of the caged Ca2+ chelator diazo-2. These data demonstrate that strongly bound myosin cross-bridges increase the level of thin filament activation in myocardium, which is manifested by an increase in the rate of cross-bridge attachment, potentiation of force at low levels of free Ca2+, and slowed rates of relaxation.

Trading force for speed: why superfast crossbridge kinetics leads to superlow forces.

Superfast muscles power high-frequency motions such as sound production and visual tracking. As a class, these muscles also generate low forces. Using the toadfish swimbladder muscle, the fastest known vertebrate muscle, we examined the crossbridge kinetic rates responsible for high contraction rates and how these might affect force generation. Swimbladder fibers have evolved a 10-fold faster crossbridge detachment rate than fast-twitch locomotory fibers, but surprisingly the crossbridge attachment rate has remained unchanged. These kinetics result in very few crossbridges being attached during contraction of superfast fibers (only approximately 1/6 of that in locomotory fibers) and thus low force. This imbalance between attachment and detachment rates is likely to be a general mechanism that imposes a tradeoff of force for speed in all superfast fibers.

A cross-bridge mechanism can explain the thixotropic short-range elastic component of relaxed frog skeletal muscle.

1. The passive tension and sarcomere length of relaxed frog skeletal muscle fibres were measured in response to imposed length stretches. The tension response to a constant-velocity stretch exhibited a clear discontinuity. Tension rose more rapidly during the initial approximately 0.4 % L0 of the stretch than during the latter stages (where L0 is the resting length of the fibre). This initial tension response is attributed to the short-range elastic component (SREC). 2. The use of paired triangular stretches revealed that the maximum tension produced during the SREC response of the second stretch was significantly reduced by the first stretch. This history-dependent behaviour of the SREC reflects thixotropic stiffness changes that have been previously described in relaxed muscle. 3. The biphasic nature of the SREC tension response to movement was most apparent during the first imposed length change after a period at a fixed length, irrespective of the direction of movement. 4. If a relaxed muscle was subjected to an imposed triangular length change so that the muscle was initially stretched and subsequently shortened back to its original fibre length, the resting tension at the end of the stretch was reduced relative to its initial pre-stretch value. Following the end of the stretch, tension slowly increased towards its initial value but the tension recovery was not accompanied by a contemporaneous increase in sarcomere length. This finding suggests that the resting tension of a relaxed muscle fibre is not entirely due to passive elasticity. The results are compatible with the suggestion that a portion of the resting tension - the filamentary resting tension (FRT) - is produced by a low level of active force generation. 5. If a second identical stretch was imposed on the muscle at a time when the resting tension was reduced by the previous stretch, the maximal tension produced during the second stretch was the same as that produced during the first, despite the second stretch commencing from a lower initial resting tension. 6. In experiments using paired triangular length changes, an inter-stretch interval of zero did not produce a substantially greater thixotropic reduction in the second stretch elastic limit force than an inter-stretch interval in the range 0.5-1 s. 7. A theoretical model was developed in which the SREC and FRT arise as manifestations of a small number of slowly cycling cross-bridges linking the actin and myosin filaments of a relaxed skeletal muscle. The predictions of the model are compatible with many of the experimental observations. If the SREC and FRT are indeed due to cross-bridge activity, the model suggests that the cross-bridge attachment rate must increase during interfilamentary movement. A mechanism (based on misregistration between the actin binding sites and the myosin cross-bridges) by which this might arise is presented.

Ca(2+)-force relationship of frog skeletal muscle: a dynamic model for parameter estimation.

A simple mathematical model describing the dynamic connection between Ca2+ and force generation in intact skeletal muscle from the frog has been developed from isometric force responses to cytosolic Ca2+ concentration ([Ca2+]c) transients during tetanic and twitch contractions. The main element of the model is a two-state cross-bridge cycle characterized by the fractional rate of cross-bridge attachment (f(app)) and the fractional rate of cross-bridge detachment (g*). While g* is constant, f(app) is time varying and regulated by both [Ca2+]c and force. Having only four adjustable parameters, the model is mathematically unique, thereby allowing precise parameter estimation from the dynamic Ca2+ and force data. The model should be useful for developing insights into the relative importance for force generation and relaxation of 1) the size and shape of the Ca2+ transient, 2) the sensitivity of the fractional rate of cross-bridge attachment to both the [Ca2+]c and the force responses, and 3) the fractional rate of cross-bridge detachment, which is insensitive to both Ca2+ and force.

Effects of Troponin-I Extraction with Vanadate and of the Calcium Sensitizer EMD 53998 on the Rate of Force Generation in Skinned Cardiac Muscle

The rate of tension development following release of ATP from caged-ATP in the presence of calcium was studied in skinned cardiac fibres from swine. A low-force rigor state was obtained by using butanedione monoxime (BDM) during the induction of rigor. BDM was washed out and following release of ATP in the presence of Ca2+ (pCa 4.3), the muscles contracted with an apparent rate of about 2 s-1 at 22 degrees C. After treatment with 10 mM vanadate to extract troponins I and C the fibres contracted independently of calcium. The rate of contraction upon release of ATP was slower than prior to extraction and was independent of [Ca2+]. Since treatment with vanadate has been shown to extract about 90% of troponin-I the results suggest that the muscles under these conditions are partially activated by removal of an inhibition of cross-bridge interaction by troponin I. A partial recovery of force was obtained by prolonged incubation in DTT containing solutions possibly reflecting reconstitution with troponin I still present in the fibre bundle. Treatment with a solution containing whole troponin caused almost complete recovery of calcium sensitivity and rate of force development. The calcium sensitizer EMD 53998 increased rates of contraction in a dose dependent manner, suggesting that this compound increases force and calcium sensitivity by increasing the cross-bridge attachment rates.