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MUSCLE CELL BIOLOGY AND CELL MOTILITY
Department of Biological Sciences, Marquette University, Milwaukee, Wisconsin
Submitted 10 July 2005 ; accepted in final form 3 November 2005
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ABSTRACT |
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force-pCa relationship; phosphate; fatigue
During intense muscle contraction, a strong inverse correlation exists between muscular force and Pi, an observation that supports the hypothesis that increases in intracellular Pi at least in part induce fatigue (20, 52). This hypothesis stemmed from experiments in single skinned fibers demonstrating that elevated Pi reduces isometric force in nonexercised fibers at saturating Ca2+ concentrations (7–9, 36, 38, 39, 42). At a typical fatiguing concentration of 30 mM Pi, maximal isometric force (Po) can be depressed by >50% compared with near-zero Pi in single mammalian fibers (44).
In addition to changes in Pi, myoplasmic free Ca2+ concentration declines during fatigue, resulting from a decrease in the amount of Ca2+ released from the sarcoplasmic reticulum (SR) (54), an effect that also may be mediated in part by Pi. It has recently been shown (2) that elevated levels of Pi precipitate SR Ca2+ and reduce the amount of Ca2+ released by the SR. Therefore, to fully characterize the role of Pi in fatigue, the effects of elevated Pi must be examined at low Ca2+ levels.
Both increases in Pi and decreases in Ca2+ can directly reduce muscle force, but when both ions change simultaneously, they are thought to act synergistically to cause even greater decreases in force. Several investigators (21, 31, 35, 39, 40) have demonstrated that, in addition to suppressing maximal Ca2+-activated force, high Pi depresses Ca2+ sensitivity in muscle fibers. Martyn and Gordon (31) showed that adding 30 mM Pi to skinned rabbit psoas fibers increased the Ca2+ required to elicit half-maximal force (pCa50). This finding has important implications for muscular fatigue because of the nature of the force-pCa relationship. This relationship is sigmoidal, with small changes in Ca2+ resulting in large changes in force along the steep portion of the relationship (18). Therefore, in the later stages of fatigue, decreases in SR Ca2+ release and Pi-induced depression of Ca2+ sensitivity could combine to cause a precipitous drop in force. However, the single-fiber studies demonstrating a Pi-induced depressed Ca2+ sensitivity were typically performed far below mammalian physiological temperatures, making it difficult to interpret the precise effects of elevated Pi on the pCa-force relationship at in vivo muscle temperatures.
Recent reports (9, 12) have demonstrated that at saturating levels of Ca2+, the depressive effects of high Pi on Po are reduced at near-physiological temperatures. Coupland et al. (9) demonstrated in rabbit psoas fibers that the depressive effect of 25 mM Pi on Po decreased as temperature increased from 2 to 32.5°C. Recent findings in our laboratory (12) have shown that the effect of 30 mM Pi on Po is one-half as large in slow fibers and one-third as great in fast type II fibers at 30 vs. 15°C. A temperature-dependent decrease in the sensitivity to Pi also was observed for measures of peak power output in slow type I fibers. It is, in fact, well established that muscle contractile properties are strongly influenced by temperature. Maximal force, shortening velocity, and peak power output increase as in vitro muscle temperature is raised from 10 to 35°C (46). In addition, it has been demonstrated (32, 50) that raising the temperature increases the Ca2+ sensitivity of skinned single muscle fibers. Sweitzer and Moss (50) demonstrated that when the temperature of chemically skinned single fibers was raised from 10 to 15°C, there was a significant decrease in the amount of Ca2+ required to achieve pCa50. Maughan et al. (32) also observed an increase in the pCa50 of frog fibers as temperature increased from 5° to 22°C. These studies demonstrated an increase in Ca2+ sensitivity at temperatures closer to physiological values, suggesting that myoplasmic free Ca2+ would have to decrease more than previously determined to explain the depressed muscular force production during fatigue.
The findings of increased Ca2+ and decreased Pi sensitivity at temperatures closer to physiological suggest that the role of Pi in muscle fatigue may be smaller than currently believed. However, the effect of elevated Pi on the force-pCa relationship or the fiber type dependence of this effect has not been examined at physiological temperatures. Therefore, the purpose of this study was to determine the effect of high Pi on the force-pCa relationship in both fast- and slow-twitch fibers at near mammalian physiological temperatures.
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METHODS |
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Each muscle was dissected into small bundles (
1 mm in width and up to 5 mm in length) in a relaxing solution, tied to glass capillary tubes, and placed in a skinning solution. Bundles were stored in skinning solution [50% relaxing solution and 50% glycerol (vol/vol)] at 4°C for the first 24 h, after which the solution was replaced with fresh skinning solution and the bundles were stored at –20°C until used but not longer than 4 wk.
On the day of an experiment, fiber bundles were removed from the skinning solution and placed in a 4°C relaxing solution. An 3-mm segment of a single fiber was isolated from a bundle and then transferred to an 500-µl glass-bottomed chamber in a milled stainless steel plate. This plate was modified to incorporate a chamber that was cooled to 15°C by Peltier cells at one end and a second chamber at the opposite end that was heated with an electrically powered heat-controlling unit to 30°C. These chambers were separated by a 3-cm plastic insulator to maintain the temperature differential.
The ends of each fiber were secured between a force transducer (model 400A; Cambridge Technology, Watertown, MA) and a servomotor (Cambridge model 312B; response time 175 µs) as previously described (57). The stainless steel plate was secured to the stage of an inverted microscope, allowing the fiber to be viewed at x800 magnification. To ensure that the fiber was operating on the plateau of the force-length relationship, we adjusted sarcomere length to 2.5 µm (26). Fiber length (2 mm) was determined by measuring the distance between the points of attachment. A digital image of the fiber while suspended in air was acquired, and the width of the fiber was measured at three points along the length of the fiber segment. The average value was used to calculate the diameter, assuming the fiber possessed a cylindrical shape (33).
Compositions of relaxing (containing negligible amounts of Ca2+, pCa 9.0) and maximally activating (containing a saturating amount of Ca2+, pCa 4.5) solutions were derived with an iterative computer program (17). This computer program utilizes the stability constants reported by Fabiato and Fabiato (19), which include adjustments for temperature, pH, and ionic strength. All solutions contained 20 mM imidazole, 7.0 mM EGTA, 4 mM MgATP, and 14.5 mM creatine phosphate. Pi was added as K2HPO4 to yield a total concentration of 30 mM, and the amount of anion was adjusted to maintain ionic strength. Although no Pi was added to the 0 mM condition, it is believed that the actual concentration was 0.5 and 0.7 mM in the fibers of slow and fast muscle, respectively, because of contamination from the hydrolysis and regeneration of ATP (42). Mg2+ was added in the form of MgCl2 with a specified free concentration of 1 mM. Each solution had an ionic strength of 180 mM, which was controlled by varying the amount of KCl added, and was raised to pH 6.9 or 7.0 with KOH to achieve the desired pH at each experimental temperature (5). Ca2+ was added as CaCl2, and ATP was added as a disodium salt. Activating solutions, containing free Ca2+ concentrations ranging from pCa 7.2 to 4.5, were made by mixing appropriate volumes of pCa 9.0 and 4.5 for each respective temperature tested. After being mounted in the experimental chamber, each fiber was exposed to a 0.5% Brij 58 (polyoxyethylene 20-cetyl ether; Sigma Chemical) solution (50 mg per 10 ml of relaxing solution) for 30–45 s to disrupt any remaining membranes still intact after exposure to the skinning solution (13).
The force-pCa relationship was determined by subjecting each fiber to a series of activating solutions ranging from pCa 7.2 to 4.5 (free Ca2+ expressed in negative log units). The resulting force data were normalized to the 0 mM Pi condition (Pr), transformed to the log scale, and fit with straight lines by using least-squares regression. The slope of the line fit to the data above Pr = 0.5 was defined by n1, and the slope of the line fit to data below Pr = 0.5 was defined by n2. The pCa50 was determined by averaging the abscissal intercepts of the Hill plots fitted to data above and below Pr = 0.5. The activation threshold, or lowest concentration of Ca2+ that elicits force, was calculated from Pr values <0.5, defined as the pCa value at which the log [Pr/(1 – Pr)] was equal to –2.5. This method was originally described by Moss et al. (37) and has been previously demonstrated in our laboratory (57). Each slow type I fiber was exposed to both Pi concentrations and to each temperature by employing a repeated-measures design. The order of conditions in soleus type I fibers was balanced to control for potential "order" effects. Fast type II fibers, however, are much less stable than slow type I fibers, particularly near-physiological temperatures (41), a property that may be related to structural differences between fiber types (6). Attempts were made to subject fast fibers to more than one condition but almost invariably resulted in a high degree of sarcomere disarray and a substantial decline in maximal isometric force (at pCa 4.5). Therefore, fast type II fibers were subjected to only one Pi concentration at either 15 or 30°C. This experimental design therefore created four separate groups that were compared using an independent statistical model, with temperature and Pi being the two independent factors. This independent design precluded direct fiber type comparisons but allowed for reproducible data to be obtained on fast fibers at near-physiological temperatures.
The myosin heavy chain (MHC) composition was determined by SDS gel electrophoresis (57). After the contractile measurements were obtained, each fiber was solubilized in 10 µl of 1% SDS sample buffer and stored at –80°C. For establishment of the MHC profile, fibers were run on 5% polyacrylamide (wt/vol) gels and silver stained as described by Giulian et al. (22). Up to three isoforms of MHC type II (IIa, IIx, and IIb) have been identified in the rat; however, force-pCa relationships were not different among the type II fibers, and thus these data were grouped together for statistical analysis.
Statistical analysis.
Data from slow type I fibers were subjected to a two-way (temperature x Pi) repeated-measures ANOVA with the 
level set at 0.05 using Statistica version 5.1 (StatSoft, Tulsa, OK). Data from fast type II fibers were subjected to a one-way ANOVA and, subsequently, Tukey's post hoc analysis with the level set at 0.05. The use of two different experimental designs excluded direct comparisons between fiber types, but a qualitative comparison is addressed in the DISCUSSION.
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RESULTS |
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Compared with the zero added Pi condition, the fast type II fiber exposed to 30 mM Pi produced less force at equivalent Ca2+ concentrations at both low and high temperatures (Fig. 2). At 15°C, the effect of Pi was most pronounced at pCa 6.2 and 6.0, at which the fiber produced large amounts of force in 0 mM Pi but no measurable force in the presence of 30 mM Pi (Fig. 2A). At 30°C, the largest differences in Ca2+-activated force responses caused by elevating Pi occurred at pCa 6.4 and 6.2 (Fig. 2B). At 30°C, pCa 6.2 elicited roughly 95% peak force, whereas at the same pCa level with 30 mM Pi present, no force was produced.
Steady-state force values were plotted against the pCa for each fiber for each condition and analyzed using a linearized Hill plot. This analysis allowed for quantification of the effects of elevated Pi and increased temperature on the force-pCa relationship. The representative force-pCa relationships for a slow type I fiber under each experimental condition are plotted in Fig. 3. Without added Pi, increasing the temperature augmented force production at pCa 4.5 by roughly 20%. Increasing the temperature without added Pi also increased the Ca2+ sensitivity of the fiber, causing a leftward shift in the force-pCa relationship; i.e., more force was generated at all levels of free Ca2+. The addition of 30 mM Pi, however, depressed peak force and decreased the Ca2+ sensitivity of the fiber at both 15 and 30°C. The decreased Ca2+ sensitivity caused the force-pCa relationship to shift to the right (Fig. 3); thus the fiber produced less force at any given Ca2+ level in the presence of added Pi. The mean data for both slow type I and fast type II fibers are expressed relative to control force (15°C, pCa 4.5, 0 mM Pi) in Figs. 4 and 5, respectively. These data demonstrate that temperature increased maximal force and Ca2+ sensitivity, whereas Pi had the opposite effect, decreasing maximal force and Ca2+ sensitivity in both fiber types. However, expressing the force relative to one condition (15°C, pCa 4.5, 0 mM Pi) made it difficult to compare the effects of phosphate between 15 and 30°C. Therefore, the effects of elevating Pi on the mean force-pCa relationship in which force is normalized to the force achieved at pCa 4.5 for each temperature and Pi level are shown in Figs. 6 and 7 for the slow type I and fast type II fibers, respectively. It is apparent from these data that elevated Pi levels caused a greater rightward shift in the force-pCa relationship at the higher temperature in both slow and fast fibers.
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DISCUSSION |
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Fiber type dependence. Because of the different experimental designs used, strict statistical comparisons could not be made for type I and type II fibers; however, qualitative statements can be made regarding the response to Ca2+ at different temperatures and levels of Pi. The differences observed in the force-pCa relationship between slow- and fast-twitch muscle at 15°C agree with previous findings from rat skinned fibers, demonstrating that fast fibers activate at a higher free Ca2+ concentration but display a greater degree of cooperative binding than slow fibers (10, 14, 47). These fiber type-dependent differences in the force-pCa relationship have been attributed to differences in troponin C (TnC) isoforms and cooperativity (37, 49). The fiber type differences were maintained at higher temperatures, suggesting that the two different isoforms of TnC were affected similarly by the increase in temperature and that any fiber type differences in cooperativity were maintained at the higher temperature.
Effect of temperature on force-pCa relationship. The increased Ca2+ sensitivity caused by increasing temperature from 15 to 30°C is consistent with the findings of Sweitzer and Moss (50) and others (4, 27, 32), who observed increases in Ca2+ sensitivity when temperature was raised. Sweitzer and Moss (50) observed an increase in the value of pCa50 in rabbit psoas fibers when temperature was increased from 10 to 15°C. The pCa50 was even higher in a subset of fibers tested at 22°C. Maughan et al. (32) observed a similar phenomenon in frog semitendinosus fibers when comparing force-pCa relationships derived at 5, 16, and 22°C.
The present results, however, contradict the findings of several investigators (23, 47, 48) who observed an increase in temperature to decrease Ca2+ sensitivity in mechanically skinned single fibers. The reason for this discrepancy is not readily apparent but may be related to the use of different fiber preparations. The SR remains intact in mechanically skinned fibers. Therefore, caffeine is added to the bathing solution to induce Ca2+ release, and sodium azide is added to inhibit Ca2+ sequestration by mitochondria. Increasing the temperature would presumably increase the activity of the SR pumps, which would act to suppress Ca2+ levels during activation. Thus the actual free Ca2+ concentration at higher temperatures may have been lower than expected, causing the appearance of decreased Ca2+ sensitivity at higher temperatures.
Goldman et al. (24) increased temperature in chemically permeabilized rabbit psoas fibers by laser-pulse jumps from 10 to 30°C and also observed decreased Ca2+ sensitivity with the temperature rise. Sweitzer and Moss (50) suggested that differences in the method of fiber fixation to the force transducer may have contributed to the discrepancy in the findings. Sweitzer and Moss employed a mechanical fixation technique similar to that used in the present study and determined a minimal amount of fiber compliance. Authors who have observed decreased Ca2+ sensitivity with an increase in temperature typically have used glue combined with t-clips, which Sweitzer and Moss (50) suggested may allow for greater compliance, particularly during high-force contractions such as those at higher temperatures. The increased compliance could increase sarcomere shortening, which has been associated with a decreased Ca2+ sensitivity acting through a reduced Ca2+ affinity for TnC (29). Furthermore, if the shortening was great enough, it would place the fiber on the ascending limb of the force-length relationship and therefore decrease the degree of cooperativity because of myosin strong binding. These mechanisms may, in part, account for why the present findings differ from those demonstrating decreased Ca2+ sensitivity at higher temperatures.
As demonstrated previously (45, 46), increasing the temperature increased Po of single muscle fibers. Temperature may increase force by either increasing the force per cross bridge or the number of force-producing cross bridges. Most evidence attributes the temperature-induced increase in maximal isometric force to a kinetically mediated increase in the number of strongly bound cross bridges (3, 30, 59). Sinusoidal analysis performed over a wide range of temperatures has determined that the Q10 of the forward rate constant of force generation is much greater than that of the backward rate constant (53, 59). These findings imply that although the overall speed of myosin ATPase is increased at higher temperatures (28), the cross bridge spends a greater proportion of the cross bridge cycle strongly bound to actin (i.e., an increased duty cycle), thereby increasing Po.
A temperature-induced increase in the number of strongly bound cross bridges may help to explain the observed temperature-induced increase in Ca2+ sensitivity. The large leftward shift in the force-pCa relationship coupled with a nearly twofold increase in n2 caused by increasing temperature suggests that at the higher temperature, cooperative binding of myosin to actin was enhanced (49, 50). This notion is supported by the observation that increased temperature enhanced TnC affinity for Ca2+, thus facilitating myosin binding to actin (50). Second, a larger number of strongly bound cross bridges would promote the movement of tropomyosin (Tm) on neighboring thin-filament regulatory units (A7TmTn) off the myosin binding sites on actin, thus stabilizing Tm in the "open state" (25). In addition, a temperature-induced increase in the flexibility of Tm, allowing for greater exposure of the myosin binding sites on actin, also may have contributed to the increased cooperativity (25). The fact that the activation threshold was unaltered by temperature (30 vs. 15°C) in the present study indicates that the minimal Ca2+ level required for the initiation of binding to TnC was unaltered by temperature, and therefore the increased Ca2+ sensitivity was due mainly to enhanced cooperativity following the initial activation.
Effects of Pi on force-pCa relationship. The force-inhibiting effects of Pi at saturating levels of Ca2+ (pCa 4.5) are greater at cold compared with near-physiological temperatures (8–10, 13). Coupland et al. (9) found a 25 mM increase in Pi to reduce the Po of rabbit psoas fibers by 50% at 10°C but by only 16% at 30°C, whereas we observed a 30 mM increase in Pi to reduce peak force by 54 and 50% in type I and type II fibers, respectively, at 15°C and by 19 and 5%, respectively, at 30°C (12). This has been attributed to the finding that the forward rate constant of force generation is much more temperature sensitive than the reverse rate constant (59). Therefore, at the higher temperature, the equilibrium constant more strongly favors force generation in the presence of high Pi. The reduced effect at near-physiological temperatures was more apparent in fast type II than in slow type I fibers. This is consistent with the hypothesis that high Pi reduces the number of high-force cross bridges as well as the force per bridge in fast fibers but only the latter in slow fibers. At near-physiological temperatures, we hypothesize that the main effect of high Pi would be a reduction in the force per cross bridge.
Elevating Pi significantly increased the free Ca2+ level required for activation and half-maximal peak force (lower pCa50) at both temperatures, in both fiber types, and depressed n2 in type II but not type I fibers. The Pi-induced reduction in fast fiber n2 was less at the higher temperature, a finding consistent with our hypothesis that Pi reduction in the number of high-force cross bridges in fast fibers is less at the higher temperature. The observed decrease in Ca2+ sensitivity (rightward shift in the pCa-force relationship shown in Figs. 6 and 7) is in agreement with previous work (21, 31, 35, 40). Although the mechanism of this effect is unknown, several theories have been proposed. Using fluorescently labeled derivatives of TnC, El-saleh (16) demonstrated that elevated Pi inhibited Ca2+ binding to TnC in skeletal muscle. Palmer and Kentish (40), in contrast, suggested that the effects of Pi are more accurately described by kinetic alterations in the cross-bridge cycle. Using fluorescently labeled TnC probes, they observed that Pi had no effect on Ca2+ binding to TnC. Palmer and Kentish attributed most of the Pi-induced depression of Ca2+ sensitivity to a functional antagonism between Ca2+ and Pi, with Ca2+ promoting the transition from a weak to strong binding state and Pi enhancing the reverse step (strong to weak transition). Therefore, at low free Ca2+ levels, high Pi has a more powerful effect on reducing force than it does at saturating Ca2+ levels.
Assuming that n2 is indicative of the degree of strong cross-bridge binding, the lack of a Pi effect on n2 in the slow fiber suggests that the Pi-induced decline in Po in this fiber type was mediated by a reduced force per cross bridge rather than by fewer cross bridges. At 30°C, we propose that the main effect on both slow and fast fibers is a reduced force per strong cross bridge. However, fiber stiffness, another measure of strong binding, has been shown to be less sensitive to Pi than force (31), implying that there is a strongly bound non-force-generating state. The existence of this state is further supported by work using caged Pi compounds (11), which suggests this state is one in which actomyosin contains both Pi and ADP and thus is not sensitive to increasing the Pi. Thus elevated Pi may depress the activation threshold and pCa50 by pushing force-generating cross bridges from an ADP-bound state back into a strongly bound but non-force-generating state with Pi bound. Thus stiffness may have been increasing before force in the presence of high Pi and less-than-saturating Ca2+. If this is the mechanism, it is approximately twofold stronger at the higher temperature, which is evident in Figs. 6 and 7.
The Pi release from myosin and the force-generating step may be regulated by Ca2+ (31), and the sensitivity of these steps to Pi depends on the fiber type and temperature. The fiber type-dependent effect on force is similar to that observed when the pH is lowered in skinned muscle fibers at 15°C (34) and 30°C (unpublished observations), suggesting that decreases in pH and increases in Pi have similar effects on the regulation of the cross-bridge cycle.
Role of Pi in fatigue. An increased Pi is thought to be responsible for a portion of the loss in muscular force and power during fatigue (1, 2, 20). Recently, however, studies that have examined the effect of elevated Pi on Po have demonstrated that the depressive effects on peak force are minimized at near-physiological temperatures (9, 12). These findings at 30°C suggest that the role of Pi in muscular fatigue may have been overstated previously based on findings obtained at lower temperatures. The reduced effect of Pi, however, was observed at pCa 4.5 and thus may not be applicable to fatigue, where inhibition of SR Ca2+ release is known to reduce the amplitude of the intracellular Ca2+ transient (20, 54, 55). Myoplasmic Ca2+ is reduced most during the later stages of fatigue, when Pi would be at its highest concentration. Thus, to assess the role of elevated Pi in fatigue more definitively, we determined its effects at suboptimal pCa levels. The results of the present study confirm the reduced effect of Pi on Po at high vs. low temperatures at saturating free Ca2+ levels but demonstrate an increased depressive effect of Pi on Ca2+ sensitivity at near-physiological temperatures (30°C).
These results imply that during the later stages of high-intensity contractile activity, compromised Ca2+ release along with high Pi act synergistically to effect large reductions in force and, presumably, power output. For example, if Ca2+ were reduced from pCa 5.0 to 6.0 (a typical drop in free intracellular Ca2+ observed after fatiguing stimulation of intact fibers) at physiological temperature, in the presence of 30 mM Pi, force would be reduced by 50% in slow type I fibers and by 90% in fast type II fibers.
The extent and rate of fatigue observed in vivo is dependent on several factors, including the fiber type and stimulation frequency (20). The results of the present study could potentially explain the pattern of force decline observed in intact fibers stimulated at a high frequency (54). In these experiments, tetanic force typically declines soon after stimulation begins, and then force is maintained or declines slowly for several minutes before demonstrating a rapid decline to 20–30% of initial force (1). The initial decline in tetanic force (15%) that occurs in the early stages of fatigue has been ascribed in part to an increase in Pi with no change in SR Ca2+ release or myoplasmic Ca2+. Once Ca2+ release becomes compromised, the combined effects of elevated Pi and decreased free intracellular Ca2+ would cause force to drop steeply as observed during the final phase of fatigue.
The steeper force-pCa relationship observed in fast type II fibers, combined with the effects of Pi, likely contributes to the increased susceptibility to fatigue of fast type II fibers (20). For example, the present findings predict that in response to a change from pCa 5.0 to 6.0, the Pi-induced drop in force would be twice as large for type II as for type I fibers. Furthermore, because of their accelerated rate of ATP utilization, fast fibers would accumulate fatiguing levels of Pi more rapidly than slow fibers. In addition, phosphate also is believed to diffuse into the SR through an anion channel and to form a precipitate of Ca2+-Pi in the SR, thereby reducing the free Ca2+ available for release (43), an effect that would be more rapid and more pronounced in fast fibers because of their increased rate of ATP hydrolysis. During the initial stages of fatigue, tetanic Ca2+ increases (54), but as Pi accumulates, SR Ca2+ release and intracellular Ca2+ concentration decrease (43). The reduced Ca2+-, Pi-induced rightward shift of the pCa-force relationship and direct effects of Pi on the cross bridge combine to induce large declines in muscular force and power output. These data help to establish the importance of the combined effects of elevations in Pi and decreases in Ca2+ in eliciting fatigue during intense contractile activity at near-physiological temperatures and offer possible explanations for the increased susceptibility of fast fibers to fatigue from intense contractile activity. It can be postulated that the fatigue-inducing effects of high Pi during in vivo exercise are likely greater than predicted from studies at cooler temperatures.
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FOOTNOTES |
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The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
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REFERENCES |
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, no added Pi; 
, 30 mM Pi added). Each data point represents the mean (SD) force at each pCa for all 9 fibers. The lines are derived from best-fit Hill equations.
