Vol. 85, Issue 3, 955-961, September 1998
Image-analysis-based assessment of the effects of
the "Ca2+-jump" technique on
sarcomere uniformity
M. P.
Slawnych,
L.
Morishita, and
B. H.
Bressler
Department of Anatomy, University of British Columbia,
Vancouver, British Columbia, Canada V6T 1Z3
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ABSTRACT |
A new image
analysis-based technique was used to quantitatively examine the effects
of the "Ca2+-jump"
activation protocol on the maintenance of fiber quality in skinned
rabbit psoas muscle fiber segments. Specifically, contractions in pCa
4.6 were preceded by short-duration "preactivation" soaks in a
solution in which EGTA was replaced with the
low-Ca2+ buffering capacity analog
hexamethylenediamine-N, N, N', N'-tetraacetate, which facilitated rapid Ca2+
equilibration within the fiber segments. Fiber quality was assessed by
examining the Fourier spectra of the muscle fiber images before, during, and after activation. Segment lengths were typically below 500 µm, thus allowing the majority of the sarcomeres to be visualized in
the field of view (×200 and ×400 magnification). The
preactivation protocol resulted in less deterioration of fiber quality
with repetitive activation. In addition, there was also a significant reduction in the time required to reach the 50% level of maximum tension, with no significant change in the maximum tension level.
muscle fiber quality image analysis; uniform fiber activation
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INTRODUCTION |
SKINNED MUSCLE FIBER preparations are widely employed
in studies involving muscle mechanics (35). However, whereas these preparations provide a great deal of flexibility in terms of being able
to control the intracellular fluid composition, problems can arise in
maintaining the quality of the preparations, specifically the sarcomere
length uniformity. This degradation can be at least partly attributed
to the nonuniform activation of the entire fiber segment. By rapidly
altering the free Ca2+
concentration inside the skinned fiber preparation, more uniform activation can be achieved. Rapid alterations in internal
Ca2+ concentration can be
accomplished by a variety of methods, including the following:
1) iontophoretically passing
Ca2+ into the solution in the
region of small, skinned fiber segments (9);
2) using caged
Ca2+ compounds (2, 3);
and 3) activating the preparation in a solution with a very high Ca2+
buffering capacity, compared with that of the fiber as a whole (which
includes the solution in the interfilament space as well as the
myofibrillar proteins) (4, 5, 26).
The last method, which is commonly referred to as the
"Ca2+-jump" technique (33),
is the method most commonly employed, as it can readily be incorporated
into experimental protocols with minimal effort and expense. The basic
premise of this method is as follows. Ordinarily, before activation,
the fiber is resting in a relaxing solution that contains little
Ca2+ but a significant amount of
EGTA, which represents the majority of the fiber-segment
Ca2+ buffering capacity. By
replacing the EGTA with a low-buffering capacity analog, such as
hexamethylenediamine-N, N, N', N'-tetraacetate (HDTA) (26), the buffering capacity of the fiber segment can be
significantly reduced. (Table 1 compares
the binding constants of these compounds.) The net result is that, when
the fiber segment is exposed to the activating solution,
contraction-related Ca2+ binding
is no longer in competition with the EGTA buffering system (Fig.
1).

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Fig. 1.
Basis for Ca2+-jump technique.
Standard (A) and
Ca2+-jump-based activations
(B) are shown.
A: in presence of relaxing solution,
majority of Ca2+ buffering
capacity of fiber segment is represented by EGTA within fiber. As a
result, when fiber is exposed to activating solution, contractile
proteins must compete with EGTA for incoming
Ca2+.
B: conversely, when fiber is
preactivated in a solution containing little EGTA, there is no
competition for incoming Ca2+ when
fiber is activated.
[Ca2+],
Ca2+ concentration; HDTA,
hexamethylenediamine-N, N, N', N'-tetraacetate.
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Whereas it has been reported that the use of the
Ca2+-jump technique improves the
quality of the striation pattern (17, 26, 27), this effect has not been
quantified. Hence, the purpose of this work was to assess fiber quality
with and without the Ca2+-jump
protocol. Whereas sarcomere length is commonly measured by methods
based on laser diffraction, this technique is not well suited to the
analysis of local sarcomere uniformity. Therefore, we have developed a
novel image-analysis technique to perform this analysis (31). This
method is based on the evaluation of two-dimensional Fourier power
spectra of muscle images. That is, we are capitalizing on the property
that muscle fiber images can be considered as periodic patterns and, as
such, the images can be represented in terms of Fourier spectra. This
transformation can be carried out efficiently by using the fast Fourier
transform (8). The magnitude of the transformed image represents the spectral energy density in the frequency domain. Assuming that the
centroid frequency of the first-order spectral density peak represents
the fundamental sarcomeric frequency, the mean sarcomere length is
simply given by the reciprocal of this frequency.
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METHODS |
Preparations.
Fiber bundles ~2 mm in diameter and 3-4 cm long were obtained
from psoas muscles of adult New Zealand White rabbits. The bundles were
stored at
18°C for up to 3 mo in relaxing solution
containing 50% glycerol (vol/vol), as described by Goldman et al.
(16). Single fiber segments, typically shorter than 500 µm, were
isolated and treated with a nonionic detergent (Triton X-100, 0.5%
vol/vol) for 15 min to disrupt remaining membrane fragments. The
segments were then mounted horizontally between a
semiconductor strain gauge-based force transducer (model
AE801; SensoNor, Horten, Norway) and a servomotor (model 300S;
Cambridge Technologies, Cambridge, MA) by using aluminum foil T clips
(13) and were submerged in one of the chambers of a multichambered
trough containing relaxing solution (20). In some cases, the ends of
the fibers were chemically fixed by gluteraldehyde (7). Selective
fixation was achieved through the use of a system composed of two
cannulas that were bent 90° and then configured in such a manner
that their ends were facing one another and separated by a few
millimeters. As the fixative solution was delivered via one of the
cannulas, suction was applied to the opposing cannula, effectively
fixing only the portion of the fiber segment immediately in the path of
the fixative flow.
The force transducer had a resonant frequency of ~2.5 kHz in air. The
chamber volume was ~200 µl. The chamber walls were made of
Plexiglas and contained cooling channels to facilitate temperature control. Experiments were carried out at 10 ± 1°C. The chamber bottom was made of glass, permitting the fiber to be visualized along
the vertical axis. The fiber segment could be rapidly transferred from
one chamber to another, minimizing its exposure to air.
The chamber system and associated apparatus were placed on the stage of
an inverted microscope (Diaphot 300, Nikon). The microscope was mounted
on an air-suspension table system. Fiber segments were illuminated by a
halogen light source filtered to 546 nm by using a green interference
filter, which represents the best compromise between microscope
resolution and charge-coupled device sensitivity (21). The segments
were visualized by using ×40 (numerical aperture = 0.55, depth of field
4 µm) and ×20 (numerical aperture = 0.40, depth of field
6 µm) objectives in conjunction with a
×10 ocular, yielding total magnifications of ×400 and
×200, respectively. The condenser aperture was set at its full
open setting. A charge-coupled device video camera (model 4910; Cohu, San Diego, CA) was connected to the video port of the microscope, which
in turn was connected to both a video monitor and S-VHS video recorder.
Solutions.
Solution compositions are listed in Table
2. All solutions were 200 mM
total ionic strength, with propionate as the major anion. The solution
pH was 7.0 in a MOPS buffer. All solutions contained 0.5 mM
dithiothreitol to prevent protein degradation. Dextran T70 (5.6%) was
also added to all solutions to restore the fiber diameters to
preskinning levels (15, 18). HDTA was obtained from Aldrich (Milwaukee,
WI). All other solutions were obtained from Sigma Chemical (St. Louis,
MO). The solution compositions were determined by using a computer
program initially developed by Godt (14).
Experimental protocol.
The length of the fiber segment was adjusted to set the mean sarcomere
length to the desired value, which was typically on the order of 2.6 µm. (Whereas the resting sarcomere length was generally found to be
in the range of 2.4-2.5 µm, in a few instances it was found to
be >2.5 µm. Therefore, the initial sarcomere length was set to 2.6 µm to ensure that the fiber was not slack at the starting condition.)
The fiber segment was then activated isometrically by
first being transferred into the
low-Ca2+ buffering capacity,
HDTA-based preactivating solution and then into the activating
solution. After maximum tension was reached, the contraction was
terminated by transferring the fiber segment back into the relaxing
solution. Postcontraction sarcomere length was then assessed, and, if
it differed from the starting sarcomere length by more than 0.15 µm,
the fiber was discarded. Otherwise, the fiber length was readjusted to
yield the original mean sarcomere length. (After the first contraction,
the pre- and postcontraction sarcomere lengths generally remained
consistent.) The fiber segment was then activated a number of times,
with every second contraction preceded by the preactivation step. The
duration of the preactivation step was 20 s, which was established on
the basis of initial studies that showed that increasing this time did
not lead to any additional improvements in the image quality and
contractile performance. All contractions were videotaped for
subsequent image analysis.
Measurements.
The raw signal produced by the force transducer was amplified and then
acquired by using a digital oscilloscope (model TDS 420; Tektronix,
Beaverton, OR). The sarcomere length was assessed off-line by analysis
of video images of the fiber, which were digitized at a resolution of
640 × 480 pixels by using a frame-grabber board (model
OFG640; Imaging Technologies, Woburn, MA). The video-analysis system
was calibrated by using a precision grating (Graticules, Tonbridge,
UK).
Sarcomere length for all fiber segments was calculated by evaluating
the Fourier spectra for both the full image and separate subimages
spanning the fiber. Specifically, muscle images were partitioned into
two half images and four quarter images along the fiber axis, which
were used to assess local sarcomere heterogeneity. All images were
multiplied by a two-dimensional Hanning window before calculation of
the spectra to minimize spectral leakage from adjacent frequency
bins.1
Sarcomere length was calculated by taking the inverse of the centroid
frequency of the first-order peak. In addition, the two-dimensional image spectra were also compressed into one-dimensional line spectra by
summing the pixels perpendicular to the fiber axis, which is functionally equivalent to using a cylindrical lens to obtain line
spectra from fibers subjected to laser diffraction. To minimize the
effects of fiber diameter on the variables being measured, only those
fiber segments with diameters in the range of 40-50 µm were
employed.
 |
RESULTS |
Figure 2A shows an
image of a fiber segment and its associated full, half, and quarter
spectra. The image was acquired during a contraction cycle in which the
fiber segment was preactivated in the HDTA-based solution with
low-Ca2+ buffering capacity. It
can be readily seen that the striations are well ordered and normal to
the fiber axis. This is confirmed by the image spectra, which contain
distinct first-order diffraction peaks situated on the fiber axis. To
facilitate the comparison of these spectra, the associated line spectra
are plotted in Fig. 3A. This
figure shows that there is good correspondence among the individual
spectra (in terms of localization of the first-order peaks). Figure
2B shows the same fiber segment (and
its associated spectra) during the subsequent contraction cycle in
which the fiber segment was not preceded by HDTA preactivation. In this case, the striations are not as well ordered, and, as a result, the
diffraction peaks are more diffuse. The associated line spectra, which
are plotted in Fig. 3B, have broader,
less distinct first-order lines and even less distinct second-order
lines, compared with the line spectra associated with the fiber segment
in Fig. 2A, indicating greater
sarcomere length heterogeneity.

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Fig. 2.
Comparison of Fourier spectra obtained from same fiber segment with
(A) and without HDTA preactivation
(B). Shown are original fiber image,
power spectrum associated with entire fiber image (full spectrum),
power spectra associated with left and right half images (half
spectra), and power spectra associated with quarter images (quarter
spectra). Calibration line, 100 µm.
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Fig. 3.
A and
B show Fourier line spectra associated
with image spectra in Fig. 2, A and
B, respectively.
x-Axis indicates frequency, ranging
from 0 to fs/2, where fs is the sampling
frequency, which is the reciprocal of the distance between successive
pixels in the image (some corresponding sarcomere lengths are indicated
in µm). y-Axes indicate relative
amplitude on a logarithmic scale. Full, full spectrum; H1 and H2, half
spectra, Q1-Q4, quarter spectra.
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Figure 4 compares the temporal sarcomere
length responses obtained with and without the preactivation protocol.
The sarcomere lengths obtained in the case in which the fiber did
undergo preactivation (Fig. 4A)
indicate that the sarcomeres function uniformly. On the other hand, in
the absence of preactivation, the sarcomere length behavior derived
from the full image is not indicative of the local sarcomere behavior
(Fig. 4B). Specifically, the
sarcomeres in the first quarter image are shortening, whereas they are
lengthening in the last quarter. In Table
3, the SE values of the sarcomere lengths
obtained from the quarter image spectra are compared. As expected, the
SE values are lower for contractions preceded by the preactivation
step. In addition, the differences between the mean sarcomere lengths
during activated and relaxed states are also compared in this table.
Preactivation has a significant effect in this regard.

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Fig. 4.
Comparison of sarcomere length signals obtained from full muscle image
and various subimages as a function of time.
A: sarcomere lengths obtained from a
segment that underwent HDTA preactivation. Fiber was transferred from
HDTA solution to activation solution during time
1 (t1) and
returned to relaxing solution during time
2 (t2).
B: sarcomere lengths obtained from a
segment that did not undergo HDTA preactivation. In this case, fiber
was transferred from relaxing solution to activation solution during
t1 and returned to
relaxing solution during
t2. Labels on
y-axis indicate sarcomere length in
µm. Horizontal calibration line, 10 s.
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As expected, there is a significant increase in the rate of tension
development when the fiber segment undergoes the preactivation protocol, as quantified in terms of the decreased time that it takes
for the contraction to reach 50% of final force.
Conversely, there is no significant difference in the force levels
(Table 3). A typical example of the force responses obtained with and without the preactivation step are shown in Fig.
5.

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Fig. 5.
Example of effects of preactivation protocol on contractile response.
A: force responses obtained with
(solid lines) and without (dashed lines) preactivation protocol.
Calibration bar, 10 s. B: early
component of force responses. Calibration bar, 1 s. Associated
times that it takes contraction to reach 50% of final
force (in s;
t50) are also
listed.
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DISCUSSION |
Sarcomere length uniformity plays a central role in studies involving
muscle mechanics. In this paper, we showed that, by adopting a
preactivation protocol in which the fiber segments are preactivated in
a solution with minimal Ca2+
buffering capacity, improvements in the quality of the striation pattern, and hence sarcomere length uniformity, can be achieved. Specifically, sarcomere lengths measured from fiber segments that underwent the preactivation step exhibited less local variation when
activated and were also more similar to the relaxed-condition sarcomere
lengths than those obtained from fiber segments that did not undergo
preactivation. This effect is most likely due to the rapid, uniform
activation of the contractile proteins. Indeed the rate of tension
development was found to be significantly faster when the fibers were
exposed to the preactivating solution. In contrast to the kinetic
effects, we saw small increases in the amplitudes of the force
responses obtained with preactivation, but the effect was not
significant. Interestingly, in many of the contractions in which the
fiber segments underwent preactivation, the isometric tension
was associated with a small overshoot, as shown in Fig. 5. This
phenomenon has also been observed by other investigators (32).
It should be noted that, when dealing with skinned fiber segments, as
opposed to intact fibers, fiber radius plays a prominent role in terms
of uniform activation [e.g., Fabiato and Fabiato (10)].
Specifically, in skinned fibers,
Ca2+ enters the system at the
level of the surface of the fiber and then diffuses throughout the
fiber. In intact fibers, however, Ca2+ release occurs at the
A-band/I-band interface at the myofibrillar level, and hence the radial
diffusion distance is significantly reduced. As a result, it has been
proposed that experiments be carried out on single myofibrils, as
opposed to single muscle fibers (1, 22), which would effectively reduce
the "fiber" diameter and hence minimize the time required for
Ca2+ to diffuse to the center of
the myofibril. Thus the myofibril will be uniformly activated across
its cross section. Assuming that the fiber-segment characteristics are
uniform across the entire length of the myofibril (i.e., uniform
filament lengths, concurrent activation), this will translate into
uniform behavior along the fiber axis.
It should be noted that a number of other methods have also been
proposed to minimize sarcomere length heterogeneity. Iwazumi and Pollack (22) found that, by conditioning the fiber with an initial,
slow activation step in which the
Ca2+ concentration is increased
from resting to full activation levels over a period of 5-10 min,
subsequent contractions did not result in any significant deterioration
in the striation pattern.
Brenner (6) found that cycling the fibers with brief periods of lightly
loaded isotonic shortening stabilized the striation pattern during
prolonged, maximal Ca2+
activation. Sweeney and colleagues (34) subsequently modified the
technique by replacing the isotonic shortening with isovelocity ramps,
hence eliminating the need for a force feedback system.
Hellam and Podolsky (20) and Julian (23) found that the striation
pattern could be better maintained by minimizing the period of
activation to as short a time as possible. Unfortunately, such an
approach limits both the number and type of measurements that can be
taken during each contraction.
Podolin and Ford (28) achieved rapid activation by exposing fibers to
free Ca2+ for a 0.5- to 1.0-s
period before introducing the EGTA-buffered solution through the use of
an electronically controlled solution changer.
The uniformity of the striation pattern can also be better maintained
by reducing the force levels generated by the muscle fiber segments.
This can be achieved in a number of ways, such as decreasing the
temperature of the bathing solutions (30) and using submaximal levels
of Ca2+ to activate the fiber
segments (19, 24). However, it should be stated that the
latter method only delays the deterioration of the striation pattern.
Instead of replacing EGTA with a
low-Ca2+ buffering capacity
analog, it can simply be eliminated from the preactivating solution (12). Whereas such an approach is somewhat inferior to the HDTA replacement protocol because it changes the ionic strength of the
solution, the effects of such a change would be minimal.
Many of the above-mentioned methods can be used in conjunction with one
another.
Although the Ca2+-jump protocol is
presently being employed by a number of investigators, the results
presented here warrant its more widespread use, particularly
given that it can be incorporated into existing methodologies with
minimal effort. Work is presently being conducted to extend this
analysis to an examination of sarcomere length changes during
activation as a function of radial distance from the central fiber
axis.
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ACKNOWLEDGEMENTS |
This research was supported by the Medical Research Council of
Canada.
 |
FOOTNOTES |
1
In general, truncating a signal in the time
domain (which is equivalent to multiplying the signal by a rectangular
window function) leads to nonideal behavior in the frequency spectrum. Specifically, the magnitude of the power spectrum estimate at a given
discrete frequency value (or "bin") contains leakage from frequency components that can be several frequency bins away. The
reason for this leakage is that, because the rectangular window function turns on and off very rapidly, its Fourier transform has
substantial high-frequency components. This leakage can be reduced by
multiplying the time domain signal by a nonrectangular window function
that changes more gradually from its maximum value to zero (29). For
this investigation, the Hanning window was employed, which is defined
as wj = 1/2
[1
cos(2
j/N)],
where N is the number of data points
and j is the data point index.
Address for reprint requests: M. P. Slawnych, Dept. of Biomedical
Engineering, McGill Univ., 3775 University St., Montreal, Quebec,
Canada, H3A 2B4 (E-mail: slawnych{at}cortex.biomed.mcgill.ca).
Received 14 May 1996; accepted in final form 24 April 1998.
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