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S. M. Baylor and S. Hollingworth are in the Department of Physiology, University of Pennsylvania School of Medicine, 3700 Hamilton Walk, Philadelphia, PA 19104-6085.
| Abstract |
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| Introduction |
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[Ca2+]), which serve as triggers for the underlying biological activity, can readily be monitored with the Ca2+-indicator dye technique. Typically, a fluorescent Ca2+ indicator such as fura 2, fluo 3, or furaptra is introduced into the cytosol, then the preparation is illuminated with ultraviolet or visible radiation and records are made of the indicator's resting fluorescence intensity (F) and changes in fluorescence intensity during activity (
F). In some applications, the goal is simply to monitor a
F signal that qualitatively reflects
[Ca2+]. In others, calibration curves are applied to obtain quantitative estimates of
[Ca2+], e.g., averaged over a substantial cytosolic region (spatially averaged
[Ca2+]). With more recent technologies, such as confocal microscopy, the aim is to obtain "Ca2+ images" from the cell and thereby identify subcellular regions where
[Ca2+] is large and localized (2, 3, 5, 8, 14). Such spatially-resolved measurements provide new information about the sites of Ca2+ entry into the cytosol, the diffusion of Ca2+ within the cytoplasm, and the complexation reactions between Ca2+ and key cytosolic constituents.
Here we consider some of the properties and organization of the intracellular environment that affect the interpretation of the optical measurements as well as some methods for quantitative assessment of intracellular Ca2+ movements. Most examples are drawn from experiments carried out by the authors on single-twitch fibers of the frog. These large accessible cells can be dissected "intact" (i.e., in essentially normal condition) and have highly developed mechanisms for generating large and brief
[Ca2+] signals.
| Properties of commonly used Ca2+-indicator dyes |
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Raju et al. (11) chemically modified the tetracarboxylate Ca2+-binding pocket common to EGTA, BAPTA, and related indicators, which use four carboxylate groups to coordinate Ca2+, to produce a new family of indicators. These tricarboxylate compounds use only three carboxylate groups to coordinate Ca2+ and react with Ca2+, with Kd generally >10 µM (classified here as lower-affinity indicators). For example, furaptra, which has the same chromophore group as fura 2, has a ~250-fold larger Kd, ~50 µM. The large increase in Kd appears to arise primarily from an increase in the dissociation rate constant (k1) rather than a decrease in the association rate constant (k+1) (Kd = k1/k+1; cf. Fig. 1A
). Because, at a constant level of [Ca2+], the overall reaction rate of an indicator proceeds at k+1 [Ca2+] + k1, lower-affinity indicators (with large values of k1) trade off signal amplitude for a faster reaction speed. Tricarboxylate indicators generally have lower selectivity over Mg2+ and thus a greater potential for interference from Mg2+.
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| Indicator properties are altered by the intracellular environment |
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A) or
F that occurs with Ca2+ binding. For high-affinity indicators like fura 2 or fluo 3 (Kd < 1 µM), accuracy in the in vitro measurements at different levels of free [Ca2+] generally requires the use of millimolar concentrations of added Ca2+ buffers (e.g., EGTA) if errors introduced by the contaminant Ca2+ found in most solutions are to be avoided. For lower-affinity indicators like furaptra, addition of Ca2+ buffers to the titration solution is less critical. Unfortunately, with most indicators, the in vitro titrations are substantially altered by soluble protein at concentrations typical of the cytosol.
An example is given in Fig. 1B
, which shows fura 2 fluorescence measured in a simple salt solution without and with addition of 55 mg/ml soluble protein. Each data set considered individually is well fitted by a theoretical 1:1 binding curve after adjustment of three parameters: Fmin (the value of fluorescence in a Ca2+-free solution), Fmax (the value of fluorescence extrapolated to a saturating Ca2+ solution), and the apparent Kd. However, protein causes a large fractional change in at least two of the parameter values: Fmin is increased by ~90% and apparent Kd is increased by 3.6-fold, from 0.19 to 0.69 µM. (A change in Fmax may also be present but is difficult to resolve at the excitation wavelength used in Fig. 1B
because Fmax in both solutions is very close to zero.) If the calibrations of Fig. 1B
were used to convert an intracellular fura 2 fluorescence level to [Ca2+], the inferred value would clearly depend on the choice of calibration curve.
Similar effects of protein on in vitro calibrations have been observed with other indicator dyes. For example, fura red, analyzed by the "ratio" technique, which provides a normalization method that adjusts for variations in indicator concentration (13), revealed the following protein-related effects on the four key parameters of the calibration (10): 1) Rmin (the ratio of fluorescence excited with 420-nm light divided by that with 480-nm light, measured in a Ca2+-free solution) was decreased by 32%; 2) Rmax (the ratio of fluorescence excited with 420-nm light divided by that with 480-nm light, extrapolated to a saturating Ca2+ solution) was decreased by 60%; 3) ß (the ratio of 480-nm fluorescence measured in a Ca2+-free solution divided by that extrapolated for a saturating Ca2+ solution) was decreased by 2.6-fold; and 4) apparent Kd was increased 4.4-fold, from 0.36 to 1.59 µM. As expected, these substantial changes strongly affect the estimation of cytosolic [Ca2+]. In frog muscle fibers injected with fura red, the estimated resting level of [Ca2+] was 0.04 µM if based on an in vitro calibration without protein but was 0.46 µM if based on a protein-containing solution (10).
A third example concerns fluo 3. In in vitro calibrations, addition of protein increased apparent Kd by 2.1-fold, from 0.5 µM to 1.1 µm, and increased Fmin by 1.5-fold. In contrast, Fmax remained essentially unchanged (4). Again, estimation of resting [Ca2+] in skeletal muscle varied with the choice of in vitro calibration, 0.05 µM without protein or 0.10 µM with protein. [Note, to calibrate the myoplasmic signal from fluo 3, Harkins et al. (4) relied on both absorbance and fluorescence signals from the indicator.]
In summary, steady-state indicator behavior is strongly affected by protein, and, at the concentration of soluble proteins found in myoplasm, a major fraction of the indicators (0.50.9) appears to be protein-bound (4, 9, 10). Most indicators are also largely bound within muscle fibers (15). Although it is difficult to pinpoint the exact nature of the in vivo binding sites, both soluble and structural proteins likely participate. In consequence, in vitro calibrations, even with added protein, may be unreliable predictors of indicator behavior in the intracellular environment.
Slow reaction kinetics in the cytosol can significantly delay an indicator's response to [Ca2+]
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[Ca2+] signals (1, 4, 9, 10, 15).
Figure 1C
compares the spatially averaged responses of two lower-affinity and two high-affinity indicators in skeletal muscle fibers activated by an action potential. The trace-labeled purpurate-3,3'-diacetic acid (PDAA), which has a time-to-peak after stimulation of 4.5 ms, is the
A signal from PDAA, an absorbance indicator with a very large Kd (~0.9 mM). Three features of PDAA support the conclusion that its
A tracks spatially averaged
[Ca2+] in a rapid and linear fashion (6). Firstly, because PDAA has a large value of Kd and thus k1, its effective reaction rate with Ca2+ (k+1 [Ca2+] + k1) is extremely fast at all levels of [Ca2+]. Secondly, the large value of Kd implies that the change in concentration of Ca2+-indicator complex (
[CaD], proportional to
A) is far from saturation in all regions of the cytosol (see below). Thirdly, PDAA is the least bound of any indicator yet studied in skeletal muscle; thus alterations in indicator properties due to intracellular binding are likely to be less serious with PDAA than with other indicators. (Note, PDAA also has some significant disadvantages; for example, because its optical change is small and because it reports a
A, not a
F, it is subject to greater interference from movement artifacts.) The upper three traces in Fig. 1C
show the time course of the
F signals measured with furaptra, fluo 3, and fura 2; these traces have times-to-peak of
F of 4.5, 10.5, and 16 ms, respectively. A comparison among these indicators reveals a clear correlation between the time-to-peak of
F and the value of Kd and hence k1. For example, with furaptra (in vitro Kd, 50 µM; estimated myoplasmic value of k1 >5,000 s1 at 16°C), the time-to-peak of
F is essentially identical to that of
A from PDAA; in contrast, with fura 2 and fluo 3 (in vitro Kd, 0.2 and 0.5 µM, respectively; estimated myoplasmic values of k1, ~35 and ~55 s1, respectively), the time-to-peak of
F is substantially greater than that of
A. This general kinetic pattern is confirmed in experiments with a number of other indicators (15).
If the delay between
[Ca2+] and the
F of a high-affinity indicator reflected only limitations inherent in the effective values of k+1 and k1, it should be possible to use the reaction scheme of Fig. 1A
to kinetically correct
F and thus obtain an accurate estimate of the time course of spatially averaged
[Ca2+]. Unfortunately, a second complication-the existence of significant myoplasmic gradients in
[Ca2+]-renders this approach approximate at best for high-affinity indicators like fura 2 and fluo 3. In skeletal muscle,
[Ca2+] results from the release of stored Ca2+ through specific channels [ryanodine receptors (RYRs)] in the membranes of the sarcoplasmic reticulum (SR). These channels are found at the "triadic junctions," the special anatomical sites within the fiber volume where the transverse tubular and SR membranes come into close apposition (cf. Fig. 2A
). During release,
[Ca2+] near the junctions rises rapidly to high levels. Then, as a result of diffusion,
[Ca2+] rises at other cytosolic locations, although to less elevated levels (cf. Figs. 3 and 4![]()
, described below). The existence of large gradients in
[Ca2+] implies the existence of large gradients in
[CaD]. With high-affinity indicators like fura 2 and fluo 3,
[CaD] in response to an action potential rises quickly to saturated levels near the triadic junctions, whereas away from the junctions
[CaD] is still in the linear range. Consequently, the full time course of spatially averaged
[Ca2+] cannot be estimated accurately with a simple kinetic correction applied to the spatially-averaged
F signal (1).
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Estimation of myoplasmic Ca2+ movements from spatially averaged [Ca2+] signals
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[Ca2+], e.g., from a lower-affinity indicator like PDAA or furaptra, can be used to estimate the amplitude and time course of Ca2+ entry into the myoplasm and of Ca2+ binding to the principal Ca2+ buffer sites of myoplasm. These buffers (Fig. 2A
[Ca2+] signal (lowermost trace; calibrated from a furaptra
F/F signal) is used as the driving function; then, after appropriate selection of binding capacities and reaction rate constants from the literature, the law of mass action is applied to calculate the change in Ca2+ binding to the intrinsic buffer sites (denoted
[CaTrop],
[CaATP], and
[CaParv], respectively). In Fig. 2B
[CaT] estimates the increase in the total myoplasmic Ca2+ concentration, calculated as the sum of the changes in the five lower traces in Fig. 2B
[CaT] and thus estimates the flux of Ca2+ into the myoplasm. This flux is due primarily to Ca2+ movement through the RYRs of the SR membrane, since there is little or no flux through surface and tubular membrane Ca2+ channels in response to a single action potential. The large positive component of the flux waveform reflects the increase in open probability of the RYRs, which has a fast rise, due to voltage-dependent activation, and a fast decay (time between half-rise and half-decay, ~2 ms). The fast decay is caused both by reversal of the voltage-activation process and by a rapid inhibitory feedback of
[Ca2+] on the RYRs (7). This negative feedback serves physiologically to limit the total amount of SR Ca2+ released to that required to achieve a high occupancy of troponin with Ca2+. The slight baseline undershoot later in the Release trace reflects the slow rate at which Ca2+ is removed from the myoplasm by the SR Ca2+ pump. | Use of a multicompartment model allows inclusion of effects due to diffusion |
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[Ca2+] gradients within the sarcomere and the inhomogeneities in Ca2+ binding that result from these gradients. These effects can be estimated with a multicompartment model. Figure 3
[CaD] has been ignored since it is generally small.) Calculations for an action potential stimulus are shown in Fig. 3, AD
[Ca2+] waveforms for the 18 compartments, but these are proportional to the
[CaATP] waveforms of Fig. 3C
[Ca2+], it was necessary to reduce the amplitude of SR Ca2+ release by ~20% in comparison with that shown in Fig. 2B
[Ca2+] (1). | Spatially-resolved measurements of intracellular Ca2+ movements |
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The x-y image in Fig. 4A
was acquired from a resting frog fiber that contained a relatively large concentration of fluo 3 (0.20.3 mM). A banding pattern in fluo 3 fluorescence is apparent that reflects the sarcomeric organization of the fiber. On average, the value of F detected from the middle of each sarcomere (m-line location) is ~15% larger than that from the ends of the sarcomere (z-line and triadic junction locations). This pattern probably reflects a differential binding of fluo 3 to myofilament proteins (e.g., more fluo 3 may be bound to the thick than to the thin filaments).
The x-t image in Fig. 4B
(from a different fiber from that of the x-y image) was obtained by a left-to-right alignment of 480 vertical line scans, which were taken repetitively along a single linear position oriented parallel to the fiber axis. The acquisition period was 1.01 ms per line scan, so that the horizontal axis in the x-t image corresponds to 485 ms. During the first 350 ms of the image, no Ca2+-related activity is apparent. At 350 ms, a brief but substantial
F occurred, indicative of an SR Ca2+-release event. This event probably lasted about 10 ms, which is the rise time of the signal in the spatial location of maximal
F/F (Fig. 4C
). As expected for frog muscle, the location of this Ca2+ "source" is near a z-line (8, 14). Diffusion of Ca2+ and Ca2+-fluo 3 away from the source (toward the nearest m-lines) is reflected in the x-t image as a V-shape that expands to the right. Isolated events of this type are termed "calcium sparks" (2, 8) and are thought to reflect the brief opening of one or a few RYRs. The spark in Fig. 4B
was elicited by exposure of the fiber to 1 mM caffeine, an agonist of the RYRs. The frequency of caffeine-activated sparks increases with exposure time in caffeine and, after ~10 minutes, the occurrence of one or more sparks per x-t image is commonplace. This contrasts with the frequency of sparks in an intact fiber at rest in a standard Ringer solution, in which events are rare.
The x-t image in Fig. 4B
illustrates one example of the use of confocal microscopy to examine the spatial location of Ca2+ entry and the time course of Ca2+ spread within the cytosol. Many laboratories are now using this and related technologies to measure both local and global Ca2+ signals in a wide variety of cells. A full analysis of the recorded information requires consideration of complex issues, such as those addressed in Figs. 13![]()
![]()
. Accordingly, these and related issues are active research topics in many laboratories. Their elucidation is bringing an expanding horizon to studies of Ca2+ signaling in living cells.
| Acknowledgments |
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| References |
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