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1Bioengineering Institute and Departments of 2Anatomy, 3Engineering Science, and 4Physiology, University of Auckland, Auckland, New Zealand; and 5Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts
Submitted 2 September 2004 ; accepted in final form 22 November 2004
| ABSTRACT |
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0.2% of muscle length) sinusoidal perturbations are applied at various frequencies (0.2100 Hz) to quiescent, viable right ventricular rat trabeculae at two temperatures (20°C and 26°C) and at two [Ca2+]o (0.5 and 1.25 mM) in the presence and absence of BDM (20 mM). The stiffness spectra (amplitude and phase) were sensitive to temperature and [Ca2+]o in the absence of BDM but insensitive in the presence of BDM. From the index of cross-bridge cycling (the ratio of high- to low-frequency stiffness amplitude), we infer that BDM inhibits a small degree of spontaneous sarcomere activity, thereby allowing the true passive properties of trabeculae to be determined. In the absence of BDM, the extent of spontaneous sarcomere activity decreases with increasing temperature. We caution that the measured mechanical properties of passive cardiac tissue are critically dependent on the experimental conditions under which they are measured. Experiments must be performed at sufficiently high temperatures (>25°C) to ensure a low resting concentration of intracellular Ca2+ or in the presence of an inhibitor of cross-bridge cycling.
cardiac muscle; sinusoidal length perturbation; passive mechanics; 2,3-butanedione monoxime; extracellular calcium concentration
It is well established that twitch force and Ca2+ transients of activated cardiac tissues are sensitive to temperature and [Ca2+]o. However, the influences of temperature and [Ca2+]o on the mechanical properties of passive cardiac tissue are often overlooked. Indeed, early studies often neglected to report [Ca2+]o (9, 32), although Pinto and Patitucci (32) stated that temperature had little effect on the rate of creep of passive cardiac tissue. BDM has been reported to offer protection from cutting injury (30) and the Ca2+ paradox (5), as well as from hypoxia and reperfusion injury (31). It also inhibits, but does not prevent, contracture (17).
To ensure that cardiac muscle preparations are truly "passive," experiments have traditionally been conducted at low [Ca2+]o and, for convenience, at room temperature. More recently, the use of BDM has further ensured passivity (10, 11); yet its effects on the mechanical properties of quiescent cardiac tissue at room temperature (2022°C) and low [Ca2+]o have not been explored. At 26°C and 0.5 mM [Ca2+]o, BDM was found to have no effect on the stress vs. muscle length extension relationships of healthy, intact rat trabeculae (21). Similarly, the passive tension and small-amplitude sinusoidal stiffness of skinned cardiac myocytes (14) and skinned cardiac myofibrils (27) were unaffected by BDM. However, on intravascular introduction of 40 mM BDM to pig hearts in vivo, the resting diastolic fiber length was found to increase (28). Thus controversy exists within the literature regarding the presence of BDM-induced alteration of the mechanical properties of quiescent cardiac tissue.
The dynamic stiffness technique, when applied to small activated specimens of striated muscle (47, 48), has proven sufficiently sensitive to extract the rate constants of attachment and detachment of cross bridges, as well as their degree of activation. The technique has previously been used to investigate BDM-mediated changes of active tissue properties of intact rat papillary muscles (43) and rate of contracture of metabolically challenged, intact ferret papillary muscles (17), as well as the passive stiffness of skinned tissues in relaxing solutions (14, 27). However, we found no report in the literature of how BDM, temperature, and [Ca2+]o interactively affect the amplitude and phase of dynamic stiffness of quiescent intact myocardium. The present study attempts to redress this deficit. To that end, we have examined the dynamic stiffness spectra (amplitude and phase) of intact trabeculae from the right ventricles of rat hearts, determined over a wide range of length-perturbation frequencies, at two subphysiological temperatures (20°C and 26°C) and two [Ca2+]o (0.5 and 1.25 mM) in the presence and absence of BDM. The two [Ca2+]o were selected to emulate the low level commonly used during mechanical studies of passive myocardium (0.5 mM) and the physiological level for rat (1.25 mM) (4). The two temperatures where chosen to reflect room temperature (
20°C) and a just-sufficient increase (to 26°C) to allow the sarcoplasmic reticulum Ca2+ pump [Q10 = 3.3 in this temperature range (42)] to reduce intracellular Ca2+ concentration ([Ca2+]i) to the point at which signs of sarcomere "spontaneous contractile waves" (7, 13, 41) are abolished.
| MATERIALS AND METHODS |
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30 min. Solutions. The standard superfusate was a modified Tyrode solution (mM: 141.6 NaCl, 5.97 KCl, 1 MgCl2, 1.18 NaH2PO4, 10 HEPES, 10 glucose, and 0.5 CaCl2). The pH was adjusted to 7.4 with 1 M Tris. All solutions were vigorously bubbled with 100% O2. The dissection solution was formed by addition of 20 mM BDM to the standard Tyrode solution. All chemicals were purchased from Sigma-Aldrich and were of analytic grade.
Determination of stiffness spectra.
The dynamic stiffness of trabeculae was determined as described by Kirton et al. (20). Briefly, electrical stimulation was terminated, and small-amplitude sinusoidal muscle length (Lm) perturbations (
0.002 Lm), at 33 frequencies ranging from 0.2 to 100 Hz, were applied to the muscle via a piezoelectric actuator (Queensgate Technologies). The resulting change in oscillatory force was measured via a silicone beam strain gauge (model AE-801, Sensonor). The dynamic stiffness amplitude and phase were determined as the ratio of stress to strain and normalized for muscle length and cross-sectional area. The first resonant frequency of the mechanical system was >200 Hz.
Experimental protocol. The object of the study was to determine the effects of BDM, Ca2+, and temperature on the dynamic stiffness of healthy quiescent trabeculae. For a given experiment, dynamic stiffness spectra were acquired at one temperature and one Ca2+ concentration in the presence (20 mM) and absence of BDM (+BDM and BDM, respectively). Behavior under three different experimental conditions was tested. Group 1 (0.5 mM Ca2+ and 20°C) mimicked typical experimental conditions previously used to study the mechanical properties of passive myocardium: low Ca2+ and room temperature. Group 2 emulated physiological levels of Ca2+ at room temperature (20°C and 1.25 mM Ca2+). For the trabeculae in group 3, [Ca2+]o was kept low (0.5 mM) but temperature was raised to 26°C. Within each group, the order of presentation of BDM treatments was randomized across muscles.
We examined whether the higher osmolarity of the solutions containing BDM had an influence on the dynamic stiffness measurements. In six trabeculae, dynamic stiffness amplitude and phase were acquired, at 26°C in 0.5 mM Ca2+, in the presence (20 mM) and absence of BDM and in the presence of 20 mM urea.
Finally, we compared the dynamic stiffness spectra obtained from passive muscle, in the presence and absence of BDM, with the dynamic stiffness of activated muscle. To this end, after passive dynamic stiffness measurements of trabeculae in group 2, Ca2+ and BDM were washed out, via a Ca2+-free solution, and a Ba2+ contracture was instigated (0.5 mM BaCl2, 20°C, n = 3).
Data analysis.
To reduce the effects of the large, naturally occurring variability of stiffness between cardiac trabeculae (40), a stiffness ratio (Eq. 1) was calculated at each of the 33 measured frequencies (f)
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The index of cross-bridge cycling (index XB, Eq. 2), the ratio of high-frequency (in this instance, the average of 57-, 69-, 85-, and 100-Hz values) to low-frequency (in this instance, the average of 0.78-, 0.95-, 1.2-, and 1.4-Hz values) stiffness amplitude, has previously been used as an index of cross-bridge cycling (25). These indexes of cross-bridge cycling were calculated for the three interventions (groups) in the presence and absence of BDM. Because of the well-documented small increase in the amplitude of stiffness with frequency of passive muscle tissue (19, 34), index XB will always be >1. As the name implies, index XB increases with increasing cross-bridge activity (25).
Statistical analyses. Data were subjected to repeated-measures ANOVA, as appropriate for a 3 x 2 x 33 (group x BDM x frequency) design. Differences among levels of statistically significant (P < 0.05) main effects or interactions were sought, post hoc, using appropriate sets of mutually orthogonal contrast coefficients. All analyses were performed using SAS software. Unless otherwise stated, values are means ± SE.
| RESULTS |
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The dynamic stiffness amplitude and phase spectra of quiescent trabeculae were acquired for three experimental conditions (groups 13) to establish whether BDM alters the spectra and, if so, whether the BDM dependence is sensitive to [Ca2+]o or temperature. The average spectra for groups 13 are shown in Fig. 2 in the absence and presence of BDM. In the presence of 20 mM BDM, no temperature or [Ca2+]o sensitivity of the phase spectra or slopes of the stiffness amplitude spectra were observed. In contrast, when BDM was absent, phase and stiffness amplitude were noticeably sensitive to temperature and [Ca2+]o.
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The single, somewhat anomalous, result in Fig. 2 is the higher stiffness amplitude of group 2 (1.25 Ca2+ and 20°C) in the presence of BDM. We reasoned that the muscles assigned to group 2 might have been inherently stiffer, reflecting a naturally occurring variation of stiffness among trabeculae as noted by Stuyvers et al. (40). To reduce the effect of variation of inherent stiffness, we calculated a normalized stiffness ratio (+BDM/BDM, Eq. 1) for each trabecula. The ratios for the three groups are plotted in Fig. 3. This normalization procedure abolished the previous apparent effect of Ca2+ on stiffness amplitude. Interestingly, under all three superfusion conditions, BDM decreased stiffness amplitude above
9 Hz (stiffness ratios > 1) and increased it below
9 Hz (stiffness ratio < 1).
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| DISCUSSION |
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We have investigated these effects during experiments using right ventricular trabeculae from rat. This species is characterized by a high basal rate of cardiac metabolism (13) and a high occurrence of spontaneous mechanical oscillations of quiescent cardiac tissues (22, 24), behaviors consistent with an inherently "leaky" sarcoplasmic reticulum and, by implication, an inherently high degree of cross-bridge cycling during "rest." It is thus an ideal species in which to examine the effects, on the mechanical properties of passive cardiac muscle, of temperature and Ca2+, in combination with BDM, an inhibitor of cross-bridge activity. It must be emphasized that such investigation must be performed in cardiac tissue that is known to be healthy (i.e., to respond to electrical stimulation), inasmuch as recent studies have demonstrated that the stress vs. muscle length relationships (21) and dynamic stiffness (20) of passive cardiac tissue are significantly altered on loss of tissue viability.
We used three indexes to examine the effect of BDM on passive myocardium: 1) the spectra (amplitude and phase) of dynamic stiffness as functions of the frequency of perturbation of muscle length, 2) the ratio of stiffness amplitude spectra in the presence and absence of BDM (Eq. 1), and 3) an index of cross-bridge cycling defined as the ratio of high-frequency stiffness to low-frequency stiffness (Eq. 2). As shown in Fig. 1, the stiffness spectra are sufficiently sensitive to distinguish quiescent tissues from those that are only partially activated. Figure 2 demonstrates that sensitivity is sufficient to reveal the differential effects of various superperfusion conditions on quiescent tissues. In particular, BDM is seen to "linearize" otherwise nonlinear stiffness spectra while convincingly removing any effects of temperature or Ca2+ on the phase spectra (Fig. 2D), which is consistent with its reputed ability to inhibit cross-bridge activity in viable tissue. The normalization procedure underlying the data of Fig. 3 provides a method of "correcting" for the inherent variability of stiffness that characterizes cardiac trabeculae (40) and that had, in this case, led to an apparent effect of extracellular Ca2+ in the presence of BDM.
The effectiveness of BDM as an inhibitor of cross-bridge cycling is probably best revealed by the data of Fig. 4, where a putative increase in [Ca2+]i at 20°C (a temperature that greatly slows the sarcoplasmic reticulum Ca2+ pump) had no effect on index XB in the presence of BDM. Figure 4 shows that an actin-myosin inhibitor, such as BDM, is crucial for correctly determining the mechanical properties of passive cardiac tissue at room temperature. This requirement is substantially alleviated if experiments are conducted at >2526°C.
These data appear to be consistent with BDM having an inhibitory action on "residual" cross-bridge activity in nominally quiescent cardiac muscle tissue. However, there remains the unexpected observation (Fig. 3) that, independent of temperature or [Ca2+]o, BDM increased dynamic stiffness amplitude at low perturbation frequencies (<9 Hz) and decreased it at higher frequencies. Possible candidates to which this behavior might be attributed include 1) titin, 2) weakly bound cross bridges, and 3) active cross bridges.
Titin. Recently, the majority of passive tension developed by cardiac tissue at low sarcomere length extensions has been attributed to the intracellular elastic protein titin (14, 44). Ca2+-dependent titin-actin interactions (15, 26, 41), as well as Ca2+-sensitive molecular domains within titin (12, 23), are reported to modulate passive stiffness. Thus the possibility exists that BDM modifies these interactions and results in the frequency-dependent alterations of dynamic stiffness observed in Fig. 3. BDM was shown to have no effect on the stiffness or passive tension of skinned rat myocytes (14) or skinned rabbit (26) or rat (27) cardiac myofibrils in relaxing (low-Ca2+) solutions. The stiffness associated with Ca2+-dependent titin-actin interactions was shown to be small for intact and skinned rat trabeculae (41). The stiffness changes associated with the Ca2+ responsiveness of the PEVK segment of titin was also shown to be small for specimens from skeletal muscle (23) and cow atria (12) and were absent in rat trabeculae (12). These Ca2+ sensitivities were shown to be insensitive to 30 mM BDM.
Yamasaki et al. (45) demonstrated that protein kinase A phosphorylates titin in skinned rat myocytes, thereby lowering passive tension generated during physiological levels of stretch. Hence, if BDM acts on titin as a phosphatase, it would be expected to increase passive tension and, hence, stiffness of cardiac tissue. However, no such effect has been reported in high (12) or low (14, 27) Ca2+ in skinned cardiac preparations. Furthermore, even if a BDM-induced increase in the passive tension-length relation had been observed in intact cardiac trabeculae [which is unlikely, because Kirton et al. (21) found no increase], this would more likely have caused an increase of stiffness at all frequencies [as observed during the formation of rigor cross bridges (20)] than the frequency dependence shown in Fig. 3.
Collectively, these reports imply that the observed BDM-induced reduction of low-frequency stiffness cannot be fully explained by Ca2+-sensitive titin interactions or by BDM-induced dephosphorylation of titin.
Weakly bound cross bridges. Controversy exists over the presence of weakly bound cross bridges in striated muscle. It has been reported that weakly bound cross bridges contribute to stiffness and tension of skinned skeletal muscle (16, 35). Conversely, no evidence was found for the existence of weakly bound cross bridges in intact frog muscle (1), intact cardiac trabeculae (8), or skinned rabbit or rat cardiac myofibrils (26, 27).
Nevertheless, from the results of mechanical (30, 47) and paramagnetic (46) studies, it is hypothesized that BDM reduces the population of force-bearing and increases the population of weakly bound, cross bridges. The present study found that stiffness and phase spectra were sensitive to temperature in the absence of BDM but insensitive in its presence (Fig. 2). Therefore, it is unlikely that the BDM-induced increase in low-frequency (<9 Hz) stiffness (stiffness ratio > 1; Fig. 3) can be attributed to weakly bound cross bridges.
Force-bearing cross bridges. Further controversy exists over the presence of force-bearing cross bridges in quiescent cardiac tissue. Thus the presence (28) and absence (18) of significant numbers of active cross bridges during the diastolic interval of whole hearts in vivo have been reported. Similar controversy exists with respect to cardiac tissue in vitro. Isolated intact myocardial cells from rat were reported to have modest cross-bridge activity during diastole (39), as were segments of rabbit papillary muscle (29), whereas during the diastolic interval in rat trabeculae, an absence of active cross bridges was reported (8). The mechanism for the effect of BDM on the frequency response of passive myocardium remains unknown. One hypothesis is that, in the absence of BDM, cross bridges may cycle asynchronously but become synchronized (with nonzero phase angle) when perturbed at low frequency. This synchronization induces a low-level minimum in the dynamic stiffness spectra at low frequencies (Fig. 1) that is comparable to that seen in maximally activated striated muscle (19, 34). The BDM inhibition of these spontaneous cross bridges renders the tissue passive (i.e., no cross-bridge activity) and, counterintuitively, increases the low-frequency amplitude stiffness via abolition of the minimum. This behavior has not previously been reported.
Limitations. A limitation of this study is that sarcomere length was not acquired for all preparations. Differences in initial sarcomere length (1.97 ± 0.07 µm for the 12 preparations in which it was recorded) thus might explain the increased stiffness of trabeculae in group 2 (Fig. 2C). Care was therefore taken to normalize dynamic stiffness by treating each preparation as its own control. This was achieved for the data of Fig. 3 by dividing the stiffness in the presence of BDM by that in its absence within each muscle and at each frequency. Likewise, for the data of Fig. 4, the index of cross-bridge cycling was normalized by dividing the high-frequency stiffness by the low-frequency stiffness on a per-muscle basis. Finally, all trabeculae showed consistent phase spectra in the presence of BDM (Fig. 2D). Hence, we consider that this methodological limitation does not affect any of our conclusions.
In conclusion, at room temperature (20°C), viable trabeculae contain enough asynchronously cycling force-bearing cross bridges to cause frequency-dependent variations in the dynamic stiffness amplitude and phase spectra. This putative cross-bridge activity can be reduced by an increase in the experimental temperature to 26°C and completely inhibited by addition of 20 mM BDM. Therefore, when mechanical experiments are conducted on passive cardiac tissue, it is critical to perform them at >25°C or in the presence of an inhibitor of cross-bridge cycling. The lower values of dynamic stiffness at low frequencies in the absence of BDM deserve further study.
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| FOOTNOTES |
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The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
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-adrenergic stimulation in rat cardiac tissue. J Physiol 542: 911920, 2002.This article has been cited by other articles:
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M. G. Garcia-Webb, A. J. Taberner, N. C. Hogan, and I. W. Hunter A modular instrument for exploring the mechanics of cardiac myocytes Am J Physiol Heart Circ Physiol, July 1, 2007; 293(1): H866 - H874. [Abstract] [Full Text] [PDF] |
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