The Journal of General Physiology
VISIT JCB ONLINE!
  Home | Help | Feedback | Subscriptions | Archive | Search | Table of Contents

This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF, 484K)
Right arrow PPT slides of all figures
Right arrow Alert me when this article is cited
Right arrow Citation Map
Services
Right arrow Email this article
Right arrow Similar articles in this journal
Right arrow Similar articles in PubMed
Right arrow Alert me to new content in the JGP
Right arrow Download to citation manager
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via CrossRef
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Pape, P. C.
Right arrow Articles by Knox Chandler, W.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by Pape, P. C.
Right arrow Articles by Knox Chandler, W.
Social Bookmarking
 Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati  
What's this?
J. Gen. Physiol., Volume 112, Number 3, September 1, 1998 263-295

Effects of Partial Sarcoplasmic Reticulum Calcium Depletion on Calcium Release in Frog Cut Muscle Fibers Equilibrated with 20 mM EGTA

Paul C. Pape, De-Shien Jong, and W. Knox Chandler

From the Department of Cellular and Molecular Physiology, Yale University School of Medicine, New Haven, Connecticut 06510-8026

    ABSTRACT
Top
Abstract
Introduction
Materials & Methods
Results
Discussion
References

Resting sarcoplasmic reticulum (SR) Ca content ([CaSR]R) was varied in cut fibers equilibrated with an internal solution that contained 20 mM EGTA and 0-1.76 mM Ca. SR Ca release and [CaSR]R were measured with the EGTA-phenol red method (Pape et al. 1995. J. Gen. Physiol. 106:259-336). After an action potential, the fractional amount of Ca released from the SR increased from 0.17 to 0.50 when [CaSR]R was reduced from 1,200 to 140 µM. This increase was associated with a prolongation of release (final time constant, from 1-2 to 10-15 ms) and of the action potential (by 1-2 ms). Similar changes in release were observed with brief stimulations to -20 mV in voltage-clamped fibers, in which charge movement (Qcm) could be measured. The peak values of Qcm and the fractional rate of SR Ca release, as well as their ON time courses, were little affected by reducing [CaSR]R from 1,200 to 140 µM. After repolarization, however, the OFF time courses of Qcm and the rate of SR Ca release were slowed by factors of 1.5-1.7 and 6.5, respectively. These and other results suggest that, after action potential stimulation of fibers in normal physiological condition, the increase in myoplasmic free [Ca] that accompanies SR Ca release exerts three negative feedback effects that tend to reduce additional release: (a) the action potential is shortened by current through Ca-activated potassium channels in the surface and/or tubular membranes; (b) the OFF kinetics of Qcm is accelerated; and (c) Ca inactivation of Ca release is increased. Some of these effects of Ca on an SR Ca channel or its voltage sensor appear to be regulated by the value of [Ca] within 22 nm of the mouth of the channel.

Key words: calcium-activated potassium channelcharge movementexcitation-contraction coupling
    INTRODUCTION
Top
Abstract
Introduction
Materials & Methods
Results
Discussion
References

Pape et al. (1995) described a method for the direct measurement of sarcoplasmic reticulum (SR)1 Ca release and [CaSR]R in frog cut muscle fibers equilibrated with an internal solution that contains 20 mM EGTA and phenol red. With 1.76 mM Ca in the internal solution, the value of [CaSR]R varied threefold, between 1,391 and 4,367 µM, whereas that of the fractional amount of [CaSR]R released from the SR by a single action potential (f1) remained relatively constant, between 0.13 and 0.17. During the course of those experiments, some of the fibers were partially depleted of Ca by decreasing the concentration of Ca in the internal solution and by repetitive stimulation. After the value of [CaSR]R fell below 1,000-1,200 µM, the value of f1 began to increase and, with [CaSR]R = 150 µM, it was 0.5. This increase in f1 helped stabilize the amount of Ca released from the SR. Since such stabilization may be important in helping to maintain normal contractile activation, experiments were undertaken to determine the factors involved in the regulation of f1 by [CaSR]R.

This article describes our results. They show that three factors participate in this regulation: (a) Ca-activated potassium channels in the surface and/or tubular membranes that, when opened, can shorten the duration of the action potential; (b) the OFF kinetics of Qcm that determines the rate of removal of voltage-dependent activation during the repolarization phase of an action potential; and (c) inhibition of SR Ca release caused by an elevation of myoplasmic free [Ca] (called Ca inactivation of Ca release).

The DISCUSSION presents a comparison of the effects on SR Ca release produced by the addition of high affinity Ca buffers to the myoplasm and by a reduction of SR Ca content (which is expected to reduce the single-channel Ca flux). APPENDIXES B and C give derivations of steady state and transient solutions of Delta [Ca] near a point source in the presence of different kinds of Ca buffers. With these derivations, Appendix a shows that some of the effects of Ca on release appear to be controlled by the concentration of Ca ions within a region <= 22 nm from the mouth of the channel. Such effects of Ca could be mediated by a receptor or receptors located on the SR Ca channel (including the foot structure) and/or its voltage sensor. The appendixes also show that, in the absence of extrinsic Ca buffers, the concentration of Ca ions near the mouth of a channel can contain a large contribution from Ca ions that are released from neighboring channels and that this contribution is markedly decreased by the addition of 0.5- 1.0 mM fura-2 or 20 mM EGTA to the myoplasm. The general features of this theoretical analysis may apply to other nonmuscle cells.

    MATERIALS AND METHODS
Top
Abstract
Introduction
Materials & Methods
Results
Discussion
References

Action potential and voltage-clamp experiments were carried out on frog cut muscle fibers mounted in a double Vaseline-gap chamber and equilibrated with an internal solution that contained 20 mM EGTA and phenol red. The theoretical and experimental basis for the measurement of SR Ca release with EGTA- phenol red is described in Pape et al. (1995). After stimulation by an action potential, EGTA is expected to capture almost all (~96%) of the Ca released from the SR, to capture it rapidly (<0.1 ms), and to exchange it for protons with a 1:2 stoichiometry. Delta [CaT] is calculated from the associated decrease in myoplasmic pH (which is monitored with phenol red) and the value of myoplasmic buffering power (which was determined in a separate set of experiments with EGTA, phenol red, and fura-2). This method for the measurement of SR Ca release has the advantage that it is direct and little influenced by the presence of intrinsic myoplasmic Ca buffers. Indeed, for reasons that are not completely clear, the amount of Ca that appears to be complexed by the Ca-regulatory sites on troponin after an action potential is negligibly small and not statistically significant, 2.9 µM (SEM, 3.8 µM) out of a total site concentration of 240 µM (column 8 in Table II in Pape et al., 1995). The expectation that the EGTA-phenol red method gives an accurate measurement of the amplitude and time course of SR Ca release is validated by the finding that values of the peak rate of release and time to half-peak measured with this method are not significantly different from those estimated from Ca transients measured with low affinity Ca indicators (antipyrylazo III, tetramethylmurexide, and purpurate-3,3'diacetic acid [PDAA]) in cut fibers with only 0.1 mM EGTA (Pape et al., 1995). On the other hand, the half-width of the rate of SR Ca release measured with EGTA-phenol red is 0.7-0.9 ms longer than that estimated with 0.1 mM EGTA, an increase likely caused by the ability of 20 mM EGTA to reduce Ca inactivation of Ca release (Pape et al., 1995). Another feature of the EGTA-phenol red method is that [CaSR]R can be monitored routinely by the measurement of Delta [CaT] after a train of action potentials or after a long lasting step depolarization that releases essentially all of the readily releasable Ca from the SR. Additional information about the EGTA-phenol red method is given in Pape et al. (1995).

The methods used for the determination of Qcm are described in Chandler and Hui (1990), Hui and Chandler (1990, 1991), and Jong et al. (1995b). For the estimation of Icm associated with a brief depolarization (see Fig. 8 A), the final level of the OFF ITEST-ICONTROL was used for the template of the OFF ionic current, and the template of the ON ionic current was adjusted to make the amplitudes of ON and OFF charge equal.


View larger version (17K):
[in this window]
[in a new window]
 
Fig. 8.   Properties of Qcm elicited by a brief voltage pulse, from the experiment illustrated in Fig. 5. (A) Three superimposed traces of V (top), Icm (middle), and Qcm (bottom, obtained by integration of Icm), from the same trials used for Fig. 5. (B) Peak value of Qcm plotted as a function of [CaSR]R, with filled and open symbols as described in Fig. 6. (C) Half-width of Qcm (filled circles and open symbols) and time to half-peak (filled squares). (D) Final time constant of Qcm (tau Qcm).


View larger version (11K):
[in this window]
[in a new window]
 
Fig. 5.   Effect of [CaSR]R on Ca release elicited by a brief voltage-clamp depolarization, plotted with the same format used for Fig. 2, A and B. [CaSR]R = 1,152 µM in a (recovery period after preceding stimulation, 5 min), 430 µM in b (3 min), and 213 µM in c (1.5 min). Fiber reference, O08911; time after saponin treatment, 78 min in a, 103 min in b, and 113 min in c. First-to-last measurements: fiber diameter, 134-135 µm; holding current, -34 to -36 nA; concentration of phenol red at the optical site, 1.142- 1.530 mM; estimated pHR, 6.824-6.797; estimated [Ca]R, 0.017-0.019 µM. Interval of time between data points, 0.12 ms for the first 204 ms and 0.60 ms thereafter. The Cs-glutamate solution used in the end pools contained 0.44 mM Ca.


View larger version (15K):
[in this window]
[in a new window]
 
Fig. 6.   Parameters associated with SR Ca release after a brief voltage pulse plotted as a function of [CaSR]R, from the experiment illustrated in Fig. 5. Same format as Fig. 4. Filled circles denote measurements made 78-116 min after saponin treatment. Open symbols denote measurements made when the recovery period was either 10 min (126- 136 min after saponin treatment, circles) or 5 min (171- 181 min after saponin treatment, squares). The letters a-c are placed at the horizontal locations of [CaSR]R from the traces in Fig. 5. Additional information is given in the text.


View larger version (16K):
[in this window]
[in a new window]
 


View larger version (12K):
[in this window]
[in a new window]
 
Fig. 2.   Effect of [CaSR]R on the action potential and associated SR Ca release. The stimulation protocol consisted of a single action potential followed by a 150-ms recovery period and a train of 30 action potentials at 50 Hz. (A) The top set of superimposed traces shows the action potentials from four trials. The other four traces show the Delta [CaT] signals arranged in chronological order from top to bottom; [CaSR]R = 512 µM in a (recovery period after preceding stimulation, 2 min), 296 µM in b (1.1 min), 146 µM in c (0.6 min), and 876 µM in d (10 min). (B) The top superimposed traces show the first action potential in A, plotted with expanded vertical and horizontal gains. The bottom superimposed traces show the initial segments of the Delta [CaT] signals, also plotted with expanded gains. (C) The top and bottom pairs of traces show voltage and dDelta [CaT]/dt, respectively, from c and d in B; in each trace, sequential points are connected by line segments. Fiber reference, O03911; time after saponin treatment, 86 min in a, 94 min in b, 101 min in c, and 136 min in d. First-to-last measurements: fiber diameter, 124-121 µm; holding current, -59 to -69 nA; amplitude of the first action potential, 135-133 mV; concentration of phenol red at the optical site, 1.380-1.866 mM; estimated pHR, 6.964-6.962; estimated [Ca]R, 0.009 µM throughout. Interval of time between data points, 0.12 ms for the first 180 ms and 0.60 ms thereafter. The K-glutamate solution used in the end pools contained 0.44 mM Ca.


View larger version (16K):
[in this window]
[in a new window]
 
Fig. 4.   Parameters associated with SR Ca release after the first action potential in each trial in the experiment illustrated in Fig. 2, plotted as a function of [CaSR]R. (A) Delta [CaT]. (B) f1. (C) Peak values of dDelta [CaT]/dt. (D) Final time constant of Delta [CaT] (tau Delta [CaT]); this was determined from a least-squares fit of a single exponential function plus a constant to Delta [CaT] in the interval between the time to half steady value and 100 ms after stimulation. Additional information is given in the text.

In the action potential experiments, a K-glutamate internal solution was used in the end pools. It contained (mM): 45 K-glutamate, 20 EGTA as a combination of K and Ca salts, 6.8 MgSO4, 5.5 Na2-ATP, 20 K2-creatine phosphate, 5 K3-phospho(enol)pyruvate, and 5 MOPS, with pH adjusted to 7.0 by the addition of KOH. The concentration of Ca-complexed EGTA was 0, 0.44, or 1.76 mM; at pH 7.0, the calculated concentration of free Ca was 0, 0.008, or 0.036 µM, respectively, and the calculated concentration of free Mg was 1 mM. A NaCl Ringer's solution was used in the central pool in the action potential experiments (see Table I of Irving et al., 1987).

                              
View this table:
[in this window]
[in a new window]
 

Table I
Parameters used for the calculations

In the voltage-clamp experiments, a Cs-glutamate internal solution was used in the end pools. It was similar to the K-glutamate internal solution except that Cs replaced K and Na. The composition of the external solution used in the central pool was 110 mM tetraethylammonium-gluconate, 10 mM MgSO4, 10 mM MOPS, and 1 µM tetrodotoxin; it was nominally Ca-free and had a pH of 7.1.

In the experiments, the sarcomere length of the fibers was 3.3- 3.7 µm, the holding potential was -90 mV, and the temperature was 14-15°C. The difference between the mean values of two sets of results was assessed with Student's two-tailed t test and considered to be significant if P < 0.05.

    RESULTS
Top
Abstract
Introduction
Materials & Methods
Results
Discussion
References

Effect of a Reduction of [CaSR]R on SR Ca Release During a Train of Action Potentials

Fig. 1 A shows traces from a fiber that was initially equilibrated with an end-pool solution that contained 20 mM EGTA and 1.76 mM Ca. The top traces show superimposed voltage records taken during four trials in which the fiber was stimulated to give a train of action potentials with different amounts of Ca inside the SR. The other four traces show the associated Delta [CaT] signals.


View larger version (20K):
[in this window]
[in a new window]
 
Fig. 1.   Effect of [CaSR]R on the time course of Ca release during a train of action potentials. (A) The top trace shows four superimposed records of 40 action potentials at 50 Hz. The next four traces show the associated Delta [CaT] signals arranged in chronological order, with [CaSR]R = 2,452 µM in a, 1,760 µM in b, 1,224 µM in c, and 708 µM in d. (B) The top superimposed traces show the first 24 action potentials from the traces in A, plotted with expanded vertical and horizontal gains. The four superimposed traces at the bottom were obtained by dividing each of the Delta [CaT] traces in A by the corresponding value of [CaSR]R to give a final amplitude of unity. Fiber reference, 425911; time after saponin treatment, 125 min in a, 143 min in b, 153 min in c, and 173 min in d. First-to-last measurements: fiber diameter, 86-82 µm; holding current, -40 to -52 nA; amplitude of the first action potential in each trial (measured on a digital oscilloscope), 118 mV throughout; concentration of phenol red at the optical site, 0.974-1.644 mM; estimated pHR, 6.882-6.804. Estimated [Ca]R, 0.062 µM in a and unknown in b-d (because the values of resting [CaEGTA] and [EGTA] at the optical site were uncertain after the removal of Ca from the end-pool solutions); interval of time between data points, 0.48 ms. The K-glutamate solution used in the end pools contained 1.76 mM Ca during the first 129 min after saponin treatment and 0 mM Ca thereafter. In this and subsequent figures, the left tick on the time calibration bar marks the onset of the first stimulation.

The first Delta [CaT] signal (Fig. 1 A, a) was obtained 125 min after saponin treatment. The first action potential elicited an abrupt increase in Delta [CaT] of 445 µM. This amount of release is similar to that obtained from other fibers equilibrated with the same internal solution and having a similar value of [CaSR]R (Pape et al., 1995). On the other hand, it may be somewhat larger than that obtained in fibers not equilibrated with EGTA because of a reduction of Ca inactivation of Ca release caused by the ability of EGTA to reduce myoplasmic free [Ca]. Ca inactivation of Ca release represents an inhibition of Ca flux through SR Ca channels that is produced by an increase in myoplasmic free [Ca] (Baylor et al., 1983; Simon et al., 1985, 1991; Schneider and Simon, 1988). According to Schneider and Simon (1988) (see also Jong et al., 1995a), its properties can be described by a model in which Ca equilibrates rapidly with a receptor on the release channel, after which the Ca receptor-channel complex is able to undergo a slower transition to an inactivated state.

The amplitude of the Delta [CaT] signal elicited by the second action potential in Fig. 1 A, a, was only half that elicited by the first action potential. Part of the reduction can be attributed to a decrease in [CaSR] after the first response. Most of the reduction, however, is probably caused by Ca inactivation of Ca release produced by the first response, even though the internal solution contained 20 mM EGTA (Jong et al., 1995a). The responses elicited by the third and subsequent action potentials progressively decreased, and, after 20-30 action potentials, Delta [CaT] had reached a maximal value of 2,452 µM, which is taken for the value of [CaSR]R.

4 min after Fig. 1 A, a, was taken, Ca was removed from the end-pool solution. b-d were obtained after the SR Ca content had been reduced by repeated stimulation with a train of action potentials, delivered first every 5 min and then every 2 min. During this period, the value of [CaSR]R decreased from 2,452 µM in a to 1,760 µM in b, 1,224 µM in c, and 708 µM in d.

Fig. 1 B shows voltage and Delta [CaT] during the first 24 action potentials in A; the Delta [CaT] signals have been normalized by [CaSR]R to give a maximal value of unity and have been plotted on expanded horizontal and vertical gains. f1 was 0.181 in a and 0.194 in b. These values are slightly larger than the mean value of 0.144 (SEM, 0.004) found by Pape et al. (1995) in 12 fibers with [CaSR]R = 1,391-4,367 µM. The normalized increase in Delta [CaT] produced by the first few action potentials became progressively larger from a to d, indicating a more rapid fractional depletion of Ca from the SR. In addition, the stepwise appearance of the Delta [CaT] signal after each action potential became progressively more rounded from a to d. The experiments described below were undertaken to study possible causes of these changes, such as a reduction of Ca inactivation of Ca release associated with partial SR Ca depletion.

Changes in the Action Potential when [CaSR]R Is Varied between 150 and 1,200 µM

The purpose of the experiment described in Figs. 2-4 was to reduce [CaSR]R to values smaller than those used in Fig. 1 and to study the effect on the action potential, as described in this section, and on SR Ca release, as described in the following section. The value of [CaSR]R was varied reversibly between 140 and 1,154 µM by the use of 0.44 mM Ca in the end-pool solution and by variation of the recovery period between successive trials between 0.5 and 10 min.


View larger version (11K):
[in this window]
[in a new window]
 
Fig. 3.   Amplitude (A) and half-width (B) of the first action potential in each trial in the experiment illustrated in Fig. 2, plotted as a function of [CaSR]R. In this and the following figure, filled and open circles denote values from the first and second set of measurements made 63-101 min and 106-161 min, respectively, after saponin treatment. The letters a-d are placed at the horizontal locations of [CaSR]R from the traces in Fig. 2; measurement c was made 101 min after saponin treatment. Additional information is given in the text.

Fig. 2 A, top, shows superimposed voltage records from four trials. A single action potential was followed by a 150-ms recovery period. Then, a train of action potentials was used to deplete the SR of its readily releasable Ca so that the value of [CaSR]R could be determined. During the first part of each trace, the interval of time between data points was 0.12 ms, which is sufficiently brief to resolve the time courses of the first action potential and of the associated rate of SR Ca release. After the recovery period, the interval of time between data points was increased to 0.6 ms, which allowed resolution of the relatively slow changes in Delta [CaT], but not the time courses of the individual action potentials in the train.

Fig. 2 A, a-d, show the Delta [CaT] signals associated with the four trials. The value of [CaSR]R was decreased from 512 µM in a to 296 µM in b to 146 µM in c by the use of progressively shorter recovery periods between trials (see legend). The recovery period was increased after c, and, when d was taken, the value of [CaSR]R was 876 µM. More information about the Delta [CaT] signals is given in the legend of Fig. 2 and in the following section.

In Fig. 2 B, top, superimposed traces show the first action potential of each trial, plotted on expanded vertical and horizontal gains. Action potentials a and d are similar to each other and have a shorter duration than b, which has a shorter duration than c.

The difference between action potentials is seen more clearly in Fig. 2 C, c and d, where the time scale has been expanded. The top pair of traces shows that, during the first 2 ms after stimulation, the two action potentials were virtually identical. During the next millisecond, the traces started to diverge as the slope of d became more negative than that of c.

For a membrane action potential in an axon with constant surface capacitance (C), a more negative slope would be expected to have been caused by an increase in outward ionic current equal to -CdV/dt (Hodgkin and Huxley, 1952). In a muscle fiber, however, the situation is complicated by the presence of the transverse tubular system. As a consequence, if C represents the capacitance of the surface membrane of the fiber, -CdV/dt would equal the sum of the ionic current through the surface membrane and the current from the mouths of the transverse tubules where they invaginate from the surface membrane. Another complication of the muscle fiber experiment is that the ideal of a membrane action potential is only approximately realized in a fiber mounted in a double Vaseline-gap chamber. In spite of these complications, however, the idea that the more negative slope of d is caused by an increase in outward ionic current across the surface and/or tubular membranes is still expected to apply. During the period when c and d diverged, the maximal value of the difference between the derivatives of the traces (not shown) occurred 3.2 ms after stimulation and was 17 mV/ms. This indicates that the outward ionic current at this time was larger in d than in c by ~17 mV/ms = 17 µA/µF. With the internal and external solutions used in this experiment, such an outward ionic current could have been carried by potassium ions leaving the fiber or chloride ions entering the fiber.

At about the time that action potentials c and d in Fig. 2 started to diverge, the associated dDelta [CaT]/dt signals became noticeably different; dDelta [CaT]/dt represents the estimated rate of SR Ca release. A possible explanation for the extra outward ionic current in action potential d is that SR Ca release produced an increase in myoplasmic free [Ca], which is expected to be approximately proportional to the rate of SR Ca release (Pape et al., 1995), and that this, in turn, activated ionic channels permeable to potassium or chloride. A comparison (not shown) of the differences between the two dV/dt signals and the two dDelta [CaT]/dt signals in Fig. 2 C indicates that such channel activation by Ca must have been rapid, with a delay no greater than 1-2 ms.

Fig. 3 shows the amplitude of the first action potential of a stimulation (A) and its half-width (B) plotted as a function of [CaSR]R, from the experiment in Fig. 2. The half-width is taken to be the interval between the times to half-peak on the rising and falling phases of the signal. In this figure, filled circles (which include a-c) denote values obtained during the first part of the experiment, when the value of [CaSR]R was decreased from 1,154 to 146 µM by a progressive decrease in the recovery period between successive trials from 5 to 0.5- 0.6 min. Open circles (including d) denote values obtained thereafter, when the recovery period was progressively increased to 10 min, decreased to 0.5 min, and finally increased again to 10 min.

In Fig. 3 A, the first stimulation occurred when [CaSR]R = 1,154 µM and the amplitude of the first action potential was 135.0 mV (bullet  at extreme right). The amplitude showed little change during the experiment, with a small progressive decrease, <= 3 mV, that can be reasonably attributed to fiber run down.

In contrast, Fig. 3 B shows that the half-width of the action potential was increased when the value of [CaSR]R was decreased from its initial value of 1,154 to 146 µM (Fig. 3 B, bullet ). The increase in half-width was most pronounced for [CaSR]R <=  500 µM. Most of this increase in half-width was reversed when the value of [CaSR]R was allowed to increase (open circle ).

The tentative conclusions of this section are that (a) an increase in the value of [CaSR]R from 150 to 800 µM produces a reversible 1-2-ms decrease in the half-width of the action potential, (b) the outward ionic current responsible for this decrease flows through Ca-activated potassium or chloride channels, and (c) the activation of these channels by Ca is normally rapid, developing within 1-2 ms after SR Ca release begins.

Changes in SR Ca Release Elicited by a Single Action Potential when [CaSR]R Is Varied between 150 and 1,200 µM

Fig. 2 A, a-d, shows four Delta [CaT] signals obtained with [CaSR]R = 146-876 µM. The value of [CaSR]R and the amplitude of the Delta [CaT] signal after the first action potential progressively decreased from a to b to c, and then increased in d to values larger than those in a. The initial segments of the Delta [CaT] traces are shown in Fig. 2 B, plotted on expanded horizontal and vertical gains. These signals show that, as the value of [CaSR]R was decreased, the Delta [CaT] signal became more rounded, indicating a longer period of SR Ca release.

Fig. 4 A shows the value of Delta [CaT] after the first action potential in each trial, plotted as a function of [CaSR]R. The concave curvature of the relation between Delta [CaT] and [CaSR]R indicates that the reduction in Delta [CaT] was less marked than that in [CaSR]R. For example, a threefold decrease in [CaSR]R from 1,200 to 400 µM resulted in a reduction of Delta [CaT] of only 30%. Thus, under these conditions, the amount of Ca released by an action potential is relatively insensitive to SR Ca content. On the other hand, a steeper dependence was observed for values of [CaSR]R < 400 µM. The open and filled circles track the same relation between Delta [CaT] and [CaSR]R, showing that the effect of [CaSR]R on Delta [CaT] was reversible.

Fig. 4 B shows the corresponding dependence of f1 on [CaSR]R. The value of f1 increased threefold from 0.165 at [CaSR]R = 1,154 µM to 0.51-0.52 at [CaSR]R = 140-150 µM. Remarkably, at the smallest values of [CaSR]R obtained in this experiment, 140-150 µM, slightly more than half of the readily releasable Ca inside the SR was released by the first action potential.

Fig. 4 C shows the peak value of dDelta [CaT]/dt plotted as a function of [CaSR]R. The relation is slightly convex, indicating that the increase in f1 associated with decreasing [CaSR]R (Fig. 4 B) is not caused by an increase in the fractional rate of SR Ca release; rather, it occurs in spite of a small decrease in the peak fractional rate of release.

Since the dDelta [CaT]/dt signals are noisier than the Delta [CaT] signals (compare, for example, Fig. 2, B and C), the data in Fig. 4 C have more fractional scatter than those in Fig. 4 A, especially at small values of [CaSR]R. Noise reduces the reliability of estimates of the half-width of dDelta [CaT]/dt and its final time constant when the value of [CaSR]R is small (Fig. 2 C; but see Fig. 7, C and D). In this situation, the time constant associated with the final half of the Delta [CaT] signal (tau Delta [CaT]) can be used as an estimate of the duration of SR Ca release. Fig. 4 D shows tau Delta [CaT] plotted as a function of [CaSR]R. From [CaSR]R = 1,154 to 140-150 µM, the value of tau Delta [CaT] increased by an order of magnitude, from 0.9 to 11-13 ms.


View larger version (19K):
[in this window]
[in a new window]
 
Fig. 7.   Properties of dDelta [CaT]/dt elicited by a brief voltage pulse, from the experiment illustrated in Fig. 5. (A) Three superimposed traces of V (top), dDelta [CaT]/dt expressed in units of µM/ms (middle), and dDelta [CaT]/dt expressed in units of %/ms (bottom) from the same trials used for Fig. 5; only traces a and c are labeled. (B) Peak dDelta [CaT]/dt (%/ms) plotted as a function of [CaSR]R, with filled and open symbols as described in Fig. 6. (C) Half-width of dDelta [CaT]/dt (%/ms) (filled circles and open symbols) and time to half-peak (filled squares). (D) Final time constant of dDelta [CaT]/dt (%/ ms) (tau dDelta [CaT]/dt).

The value 11-13 ms is similar to the time constant expected for Ca dissociation from the Ca-regulatory sites on troponin, estimated to be 8.7 ms (column 5 in Table I, model 2, in Baylor et al., 1983). This similarity raises the possibility that, with [CaSR]R = 140-150 µM, the Ca complexed by EGTA (which determines Delta [CaT]) came from Ca that had just dissociated from troponin rather than from Ca that had just left the SR. This seems unlikely for the following reason. In fibers with [CaSR]R >=  1,391 µM, the increase in [CaEGTA] that accompanies Ca dissociation from troponin after an action potential appears to be negligibly small and not statistically significant, 2.9 µM (SEM, 3.8 µM) (Table II in Pape et al., 1995). Since a decrease in [CaSR]R would be expected to produce a decrease, not an increase, in the amount of Ca complexed by troponin, it seems unlikely that Ca that dissociated from troponin made a significant contribution to the Ca that was complexed by EGTA during the 140-150 µM Delta [CaT] signals that had the 11-13-ms time constant.

These results show that, when the SR is partially depleted of Ca, the amount of Ca released by a single action potential does not decrease in proportion to the value of [CaSR]R (Fig. 4 A). Rather, its value is partially stabilized by an increase in f1 (Fig. 4 B) that is caused by a prolongation of Ca release (increase in tau Delta [CaT], Fig. 4 D). This prolongation of Ca release may be due, at least in part, to the accompanying prolongation of the action potential (Figs. 2 C and 3 B). The order-of-magnitude increase in tau Delta [CaT], however, suggests that some other effect may also be involved (next section).

The Effect of Partial SR Ca Depletion on Action Potential-stimulated SR Ca Release Can Be Mimicked by a Brief Voltage-Clamp Depolarization

To study further the effect of [CaSR] on the rate of turn-off of SR Ca release, experiments were carried out on voltage-clamped fibers. One advantage of this method is that, unlike experiments with action potential stimulation, the voltage waveform is constant and does not depend on the value of [CaSR]R; thus, any changes in release that are observed cannot be attributed to changes in voltage. Another advantage is that measurements can be made of intramembranous charge movement (Qcm), which is thought to arise from movement of the voltage sensors for SR Ca release. Such information might help determine whether changes in the turn-off of SR Ca release are caused by changes in the voltage sensor. Before describing the effects of [CaSR] on Qcm, however, it is important to establish that the effect of SR Ca depletion on Ca release is similar with voltage-clamp and action potential stimulation.

Fig. 5 shows the results of a voltage-clamp experiment that was designed to mimic the action potential experiment illustrated in Fig. 2. For this purpose, the same concentration of Ca, 0.44 mM, was used in the end-pool solution. A 10-ms pulse to -20 mV was used to release a small fraction of the readily releasable Ca from the SR, similar to that released by the first action potential in a trial in Fig. 2. This pulse was followed by a 200-ms repolarization to -90 mV, and then a 420-ms depolarization to -40 mV to deplete the SR of its remaining Ca so that the value of [CaSR]R could be determined.

Fig. 5 A, a, shows the Delta [CaT] signal that was obtained 78 min after saponin treatment. After the first depolarization, Delta [CaT] reached a value of 229 µM. By the end of the second depolarization, Delta [CaT] had increased to a quasi-steady value of 1,152 µM, which is taken for the value of [CaSR]R. Thus, the first depolarization released 229/1,152 = 0.199 of the readily releasable Ca from the SR, similar to the fraction f1 released by the first action potential in Fig. 2 d (0.221 with [CaSR]R = 876 µM). Fig. 5 A, b and c, were obtained later in the experiment after the value of [CaSR]R had decreased to 430 and 213 µM, respectively. The Delta [CaT] traces in Fig. 5, A and B, are similar to those in Fig. 2, A and B.

Fig. 6 shows the effect of [CaSR]R on Delta [CaT] (A), f1 (B), peak dDelta [CaT]/dt (C), and tau Delta [CaT] (D), from the experiment illustrated in Fig. 5. It is plotted with the same format used in Fig. 4. Filled circles represent measurements made when the recovery period between successive trials was progressively decreased from 5 to 1 min. After the value of [CaSR]R had decreased to 141 µM by three successive stimulations with recovery periods of 1 min (three bullet  at extreme left in each panel), the recovery period was increased to 10 min for two trials (open circle ), and then, 35 min later in the experiment, to 5 min for two trials (square ). The relations between release parameters and [CaSR]R in Fig. 6 are similar to those in Fig. 4.

In the experiment in Fig. 6, after the value of [CaSR]R had been decreased to 141 µM, its value was increased to only 205-212 µM by increasing the recovery period to 10 min (open circle ). A similar small increase in [CaSR]R, from 148 µM after two 1-min recovery periods to 174 µM after a 10-min recovery period, was observed in the other voltage-clamp experiment in which 0.44 mM Ca was used in the end-pool solution (fiber O08912). This small recovery of [CaSR]R is unlike the large recovery observed in the action potential experiment in Fig. 2, from 146 µM in c to 876 µM in d. Although the reason for this difference is unknown, an important factor may be the presence of 1.8 mM Ca in the external solution in the action potential experiments and the absence of external Ca in the voltage-clamp experiments. Whatever the reason, the poor recovery of [CaSR]R in the voltage-clamp experiments makes it difficult to study the reversibility of the effect of [CaSR]R on SR Ca release in these experiments, as was done in the action potential experiments (Fig. 2).

Experiments similar to the one in Figs. 5 and 6 were carried out on three other voltage-clamped fibers in which a 10-12-ms pulse to -20 mV was used for the first stimulation. In one of the experiments (O08912), 0.44 mM Ca was used in the end-pool solution, and the value of [CaSR]R was reduced by progressively decreasing the recovery period between successive trials from 5 to 1 min, as was done in the experiment in Figs. 5 and 6. In the other two experiments (N14911 and N15911), the fibers were first equilibrated with an end-pool solution that contained 1.76 mM Ca. Then, Ca was removed from the end-pool solution and the value of [CaSR]R was reduced by successive stimulations every 1.5 min. The results of all four experiments were similar; the mean value of f1 was 0.147 (SEM, 0.022) with [CaSR]R = 1,000-1,200 µM and 0.267 (SEM, 0.082) with [CaSR]R = 140-300 µM; the mean value of the ratio f1([CaSR]R = 140-300 µM)/f1([CaSR]R = 1,000-1,200 µM) was 1.71 (SEM, 0.33), which is not significantly different from unity. The mean value of tau Delta [CaT] was 3.63 ms (SEM, 0.54 ms) with [CaSR]R = 1,000-1,200 µM and 16.9 ms (SEM, 4.0 ms) with [CaSR]R = 140-300 µM; the mean value of the ratio tau Delta [CaT]([CaSR]R = 140-300 µM)/tau Delta [CaT]([CaSR]R = 1,000-1,200 µM) was 4.51 (SEM, 0.59), which is significantly different from unity.

The results in Fig. 6 and those described in the preceding paragraph are qualitatively similar to those in Fig. 4. This suggests that the effect of [CaSR]R on Delta [CaT] signals elicited by action potential stimulation cannot be explained primarily by the effect of [CaSR]R on the duration of the action potential.

The Effect of Partial SR Ca Depletion on dDelta [CaT]/dt

Further analysis of the Delta [CaT] signals in Fig. 5 is shown in Fig. 7. Fig. 7 A, middle, shows dDelta [CaT]/dt expressed in units of micromolar per millisecond. As the value of [CaSR]R decreased from 1,152 (a) to 430 (b) to 213 (c) µM (only a and c are labeled), the amplitude of dDelta [CaT]/dt was decreased and its duration was increased.

Fig. 7 A, bottom, shows dDelta [CaT]/dt corrected for SR Ca depletion. At each moment in time, the value of dDelta [CaT]/dt in units of micromolar per millisecond was divided by [CaSR]R - Delta [CaT] and multiplied by 100 to give units in percent per millisecond (Jacquemond et al., 1991). Because of the division by [CaSR]R - Delta [CaT], each trace becomes progressively noisier with time, and the noise increases from a to b to c. Within the noise of the signals, the initial time courses are similar. After the peak value was reached, however, the duration became progressively longer from a to b to c.

Fig. 7 B shows the peak amplitude of dDelta [CaT]/dt in units of percent per millisecond, plotted as a function of [CaSR]R. The values increased slightly from [CaSR]R = 1,152 to 300-400 µM, and then decreased as the value of [CaSR]R became smaller than 300 µM. In 25 measurements of dDelta [CaT]/dt in four fibers, the mean peak value of dDelta [CaT]/dt with [CaSR]R = 140-300 µM was 0.861 (SEM, 0.016) times that measured in the same fiber with [CaSR]R = 600-1,200 µM; the value 0.861 is significantly different from unity.

Fig. 7 C shows the half-width of dDelta [CaT]/dt (bullet , open circle , and square ) and its time to half-peak (black-square), plotted as a function of [CaSR]R. Fig. 7 D shows the final time constant of dDelta [CaT]/dt (tau dDelta [CaT]/dt). As the value of [CaSR]R decreased from 1,152 to 141 µM, the half-width of dDelta [CaT]/dt (C) and the value of tau dDelta [CaT]/dt (D) progressively increased; in both panels, the open symbols and filled circles superimpose within the scatter of the points. On the other hand, the relative constancy of Fig. 7 C, black-square, shows that the rising phase of dDelta [CaT]/dt was little affected by [CaSR]R.

It is clear from Fig. 7 A, bottom, that the dDelta [CaT]/dt signal became noisier as the value of [CaSR]R became smaller, making the determinations of the half-width of dDelta [CaT]/dt (Fig. 7 C) and of the value of tau dDelta [CaT]/dt (Fig. 7 D) more difficult. For this reason, the filled circles at the left-hand side of Fig. 7, C and D, with small values of [CaSR]R, show considerable scatter. In spite of this, the relation between tau dDelta [CaT]/dt and [CaSR]R in Fig. 7 D is similar to that between tau Delta [CaT] and [CaSR]R in Fig. 6 D, which suggests that the relation in Fig. 7 D is reliable within the noise of the dDelta [CaT]/dt signals. This being the case, it seems likely that the relation between the half-width of dDelta [CaT]/dt and [CaSR]R in Fig. 7 C is also reliable.

In four fibers, the mean value of tau dDelta [CaT]/dt was 2.48 ms (SEM, 0.53 ms) with [CaSR]R = 1,000-1,200 µM and 16.2 ms (SEM, 4.0 ms) with [CaSR]R = 140-300 µM; the mean value of the ratio tau dDelta [CaT]/dt ([CaSR]R = 140-300 µM)/ tau dDelta [CaT]/dt([CaSR]R = 1,000-1,200 µM) was 6.47 (SEM, 0.76), which is significantly different from unity.

The results in this section, obtained from voltage-clamped fibers, confirm those obtained with action potential stimulation (Fig. 4). In particular, when the value of [CaSR]R is decreased from 1,000-1,200 to 140-300 µM, the observed increase in f1 (Fig. 6 B) is caused by a prolongation of SR Ca release (Fig. 7, C and D), and not by an increase in the fractional rate of release (Fig. 7 B).

The Effect of Partial SR Ca Depletion on Qcm

The next question to consider is whether partial SR Ca depletion affects the voltage sensor for SR Ca release. Fig. 8 A, middle, shows the currents from intramembranous charge movement (Icm) associated with Fig. 5, a-c (only a and c are labeled). The ON waveforms of a and b superimpose, with an amplitude that is slightly larger than that of c, owing to a small decrease in the amount of charge in c (see below). On the other hand, the OFF waveforms of Icm are clearly different. From a to b to c, as the value of [CaSR]R decreased from 1,152 to 430 to 213 µM, the amplitude of the OFF response became smaller and its duration became longer.

Fig. 8 A, bottom, shows Qcm, the running integral of Icm, which is expected to be more closely related than Icm to the state of activation of the SR Ca channels. Except for a small reduction in the amplitude of c, the initial time courses of the three traces are similar until the time to peak; thereafter, the return to baseline became progressively slower from a to b to c.

Fig. 8 B, bullet , shows the peak value of Qcm plotted as a function of [CaSR]R. As expected from Fig. 8 A, bottom, the peak value of Qcm was similar in a and b and was slightly smaller in c. The 10-15% decrease in Qcm that was associated with the decrease in [CaSR]R from 600 to 141 µM may have been caused by a direct effect of the reduction in [CaSR]R or by the decrease in the recovery period between successive trials that was used to reduce [CaSR]R from 4 to 1 min. Since the decrease in Qcm was reversed by increasing the recovery period to 5 or 10 min (square  and open circle , respectively), which increased [CaSR]R only slightly, the decrease in recovery period is the more likely explanation. Such a decrease in Qcm could have been caused by slow inactivation of charge movement (Chandler et al., 1976). According to this idea, a small amount of slow inactivation would develop during the 10-ms pulse to -20 mV and the subsequent 420-ms pulse to -40 mV. This inactivation would then be removed during the recovery period at -90 mV, and removal would be more complete with a 3-4-min recovery period than with a 1-min period.

Fig. 8 C shows the half-width of Qcm (bullet , open circle , and square ) and the time to half-peak of Qcm (black-square) plotted as a function of [CaSR]R. The filled circles show that the half-width progressively increased when the value of [CaSR]R was decreased from 1,152 to 141 µM (open circle and square  are discussed in the following section). The increase in half-width is caused by a prolongation of the falling phase of the signal since the time to half-peak of the rising phase of the signal was constant (black-square).

The falling phase of Qcm was analyzed by fitting an exponential function to the final half of the signal, starting at the time from half-peak and ending 164 ms after repolarization (not shown). Fig. 8 D, bullet , shows the values of the time constant of the exponential function that were obtained in this manner (tau Qcm). The value of tau Qcm increased from 12 to 27 ms as the value of [CaSR]R was decreased from 1,152 to 141 µM.

Results similar to those shown in Fig. 8, bullet , were obtained in four fibers in which the value of [CaSR]R was progressively decreased from 1,000-1,200 to 140 µM. In the two fibers with 0.44 mM Ca in the end-pool solution (O08911 and O08912), this depletion was accomplished by decreasing the recovery period between trials from 5 to 1 min. In the two fibers with 0 mM Ca in the end-pool solution (N14911 and N15911), the recovery period was 1.5 min throughout. The mean value of tau Qcm was 10.0 ms (SEM, 1.1 ms) with [CaSR]R = 1,000-1,200 µM and 17.7 ms (SEM, 3.7 ms) with [CaSR]R = 140-300 µM; the mean value of the ratio tau Qcm([CaSR]R = 140-300 µM)/tau Qcm([CaSR]R = 1,000- 1,200 µM) was 1.71 (SEM, 0.20), which is significantly different from unity.

The Effect of the Duration of the Recovery Period on OFF Qcm

Fig. 8, B-D, bullet , denotes measurements made when the value of [CaSR]R was decreased by reducing the duration of the recovery period between successive trials. With the shortest recovery period used, 1 min, the value of [CaSR]R was 141-159 µM (three left-most bullet  in each panel). When the recovery period was then increased to 5 or 10 min, the value of [CaSR]R was increased to 180-185 µM (square ) or 205-212 (open circle ), respectively. The associated values of the half-width of Qcm (Fig. 8 C) and of the value of tau Qcm (D) were reduced by the longer recovery periods so that the open symbols lie below the relation defined by the filled circles; the reduction was larger with a 10-min recovery period (open circle ) than with a 5-min period (square ). Recovery periods >10 min were not studied.

In two fibers, a 10-min recovery period was used after the value of [CaSR]R had decreased to 141 (O08911) or 148 (O08912) µM. The mean value of tau Qcm was 11.9 ms (SEM, 0.1 ms) with [CaSR]R = 1,000-1,200 µM and 17.4 ms (SEM, 0.2 ms) with a 10-min recovery period and [CaSR]R = 140-300 µM; the mean value of the ratio tau Qcm([CaSR]R = 140-300 µM)/tau Qcm([CaSR]R = 1,000- 1,200 µM) was 1.47 (SEM, 0.03), which is significantly different from unity.

This dependence of the half-width of Qcm and of the value of tau Qcm on recovery period was not observed in fibers with [CaSR]R > 1,200 µM. (In two experiments, not shown, fibers N14911 and N15911 were first equilibrated with an end-pool solution that contained 1.76 mM Ca and had initial values of [CaSR]R that were >2,000 µM. Later in the experiment, Ca was removed from the end-pool solution and intramembranous charge movement and SR Ca release were monitored with 10-ms pulses to -20 mV, as was used in Fig. 5. In fiber N14911, the values of Qcm half-width and tau Qcm were 9.66 and 7.37 ms, respectively, after a 6.9-min recovery period ([CaSR]R = 2,442 µM) and were 9.94 and 7.12 ms after a 1.57-min recovery period ([CaSR]R = 1,729 µM). In fiber N15911, the values of Qcm half-width and tau Qcm were 10.02 and 6.64 ms, respectively, after a 13-min recovery period ([CaSR]R = 2,268 µM) and were 10.88 and 8.01 ms after a 1.5-min recovery period ([CaSR]R = 1,289 µM). These small changes in Qcm half-width and tau Qcm are probably within the error of measurement.)

The results described above suggest that, as the value of [CaSR]R is reduced from 1,200 to 140-210 µM, the OFF kinetics of Qcm is slowed in a use-dependent manner. With [CaSR]R >1,200 µM, either the slowing effect does not occur or, if it does, it is removed by a 1.5-min recovery period. Unfortunately, recovery periods <1 min could not be studied with our voltage-clamp method owing to the time required to take and process data during the CONTROL and TEST pulses of each trial.

The main conclusion from this and the preceding section is that a reduction in [CaSR]R from 1,000-1,200 to 140-300 µM is able to prolong the duration of OFF Qcm after a brief depolarization in a use-dependent manner with little, if any, effect on ON Qcm. In four fibers in which a recovery period as brief as 1-1.5 min was used to determine tau Qcm with [CaSR]R = 140-300 µM, the final time constant of OFF Qcm was increased by the factor 1.71 (SEM, 0.33) (see preceding section). In the two fibers in which a 10-min recovery period was also used, the factor was 1.47 (SEM, 0.03) (this section). As mentioned above, recovery periods >10 min were not studied.

A Comparison of the Effect of Partial SR Ca Depletion on the Time Courses of Qcm and dDelta [CaT]/dt

Fig. 9 A shows three pairs of Qcm and dDelta [CaT]/dt traces, replotted from Figs. 8 A and 7 A, bottom, respectively; the same calibration factors, 4 nC/µF and 1%/ms, apply, respectively, to all the Qcm and dDelta [CaT]/dt traces. Within each pair of traces, the rising phase of the noisier dDelta [CaT]/dt signal lagged that of the Qcm signal by 2-3 ms so that its peak value was reached after that of Qcm.


View larger version (12K):
[in this window]
[in a new window]
 


View larger version (12K):
[in this window]
[in a new window]
 
Fig. 9.   Comparison of Qcm and dDelta [CaT]/dt, from the bottom traces in Figs. 8 A and 7 A, respectively. (A) The three pairs of superimposed traces show Qcm (in units of nC/µF) and dDelta [CaT]/dt (%/ms); within each pair, Qcm has the earlier rising phase and dDelta [CaT]/dt is noisier. The unlabeled vertical calibration bar, which applies to all three pairs of traces, represents 4 nC/µF for Qcm and 1%/ms for dDelta [CaT]/ dt. (B) tau Qcm/tau dDelta [CaT]/dt from the fiber used in Figs. 5-8 and A of this figure. (C) tau Qcm/ tau dDelta [CaT]/dt from four fibers stimulated with 10-12-ms pulses to -20 mV: O08911 (circle), O08912 (diamond), N14911 (triangle), and N15911 (square). Fibers O08911 and O08912 were equilibrated with an end-pool solution that contained 0.44 mM Ca; the value of [CaSR]R was decreased by reducing the recovery period (see Figs. 5 and 6). Fibers N14911 and N15911 were first equilibrated with an end-pool solution that contained 1.76 mM Ca. The solution was then changed to one that contained 0 mM Ca, and the value of [CaSR]R was decreased by successive stimulations with a fixed recovery period of 1.5 min.

Simon and Hill (1992) measured the time course of charge movement and SR Ca release during and after 100-ms depolarizations to potentials between -60 and 20 mV. A depolarizing prepulse was used to produce Ca inactivation of Ca release so that the time course of dDelta [CaT]/dt would, according to them, correspond to the time course of voltage activation of the noninactivating component of dDelta [CaT]/dt. They found that the time course of dDelta [CaT]/dt matched that of Qcm4. Based on this result, they proposed that four identical voltage sensors, which move independently, act in concert to gate the SR Ca release channel. In our experiments, with 10-15 ms depolarizations, the time courses of Qcm4 and of dDelta [CaT]/dt were clearly different (not shown). For example, the peak value of dDelta [CaT]/dt occurred after that of Qcm4 or, for that matter, Qcm raised to any positive power (see Fig. 9 A). Moreover, the later time to peak of dDelta [CaT]/dt cannot be attributed to the development of Ca inactivation of Ca release since this would be expected to decrease, not increase, the time to peak of dDelta [CaT]/dt. Thus, if four voltage sensors act in concert to gate the SR Ca channel, as proposed by Simon and Hill (1992), the opening of the channel does not occur immediately with the movement of the voltage sensors, but after a 2-3-ms delay.

After the peak values of dDelta [CaT]/dt in Fig. 9 A were reached, both Qcm and dDelta [CaT]/dt returned to zero with rates that progressively decreased from a to b to c. In a, the final return of dDelta [CaT]/dt to zero was more rapid than that of Qcm. The relative difference in the final time courses of Qcm and dDelta [CaT]/dt was less marked in b. In c, the final time courses of the two signals were similar, with the Qcm trace lying within the noise of the dDelta [CaT]/dt trace.

Since, with small values of [CaSR]R, the value of tau Qcm with a 1.5-min recovery period was larger than that with a 10-min recovery period (Fig. 8 D, bullet  c and open circle ), whereas the corresponding values of tau dDelta [CaT]/dt were within the scatter of the points (Fig. 7 D), it was of interest to compare Qcm and dDelta [CaT]/dt signals with a 10-min recovery period. Within the noise of the Delta [CaT]/dt signal, the final time courses of the two signals were similar (not shown).

Fig. 9 B shows the ratio tau Qcm/tau dDelta [CaT]/dt plotted as a function of [CaSR]R. Its value decreased from 4.5 with [CaSR]R = 1,152 µM (a) to values that fluctuated around unity with values of [CaSR]R < 400 µM. With [CaSR]R < 400 µM, the mean value of tau Qcm/tau dDelta [CaT]/dt was 1.07 (SEM, 0.05) for the filled circles and 0.91 (SEM, 0.07) for the open symbols; these two values are not significantly different from each other or from unity. The comparisons described in this and the preceding paragraph show that, with [CaSR]R < 400 µM, the noise in the dDelta [CaT]/dt signals makes it difficult to assess quantitatively the effect of increasing the recovery period from 1-2 to 10 min on the relation between Qcm and dDelta [CaT]/dt.

Results similar to those in Fig. 9 B were obtained in three other fibers, and the combined data are shown in Fig. 9 C. The mean value of tau Qcm/tau dDelta [CaT]/dt with [CaSR]R = 1,000-1,500 µM was 4.66 (SEM, 0.35) and, with [CaSR]R = 140-300 µM, was 1.06 (SEM, 0.04). The first, but not the second, value is significantly different from unity.

Jong et al. (1995a) also measured Qcm and d