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Page 1 of 34 Articles in PresS. Am J Physiol Heart Circ Physiol (January 5, 2007). doi:10.1152/ajpheart.00778.2006 Frequency Dependent Acceleration of Relaxation Involves Decreased Myofilament Calcium Sensitivity Kenneth D. Varian and Paul M.L. Janssen Department of Physiology and Cell Biology, College of Medicine, The Ohio State University, 1645 Neil Avenue, Columbus, OH 43210 USA. Running title: Frequency Dependent Myofilament Desensitization *Correspondence to: Paul M.L. Janssen, Ph.D. Department of Physiology and Cell Biology The Ohio State University 304 Hamilton Hall 1645 Neil Avenue Columbus, OH 43210-1218 USA Phone: 614-247-7838 Fax: 614-292-4888 [email protected] Subject Code: 105,136 Number of words: 4659 1 Copyright Information Copyright © 2007 by the American Physiological Society. Page 2 of 34 Abstract The force-frequency relationship (FFR) is an intrinsic modulator of cardiac contractility and relaxation. Force of contraction increases with frequency, while simultaneously a frequency dependent acceleration of relaxation (FDAR) occurs. While frequency-dependency of calcium handling and SR calcium load have been well described, it remains unknown whether frequency-dependent changes in myofilament calcium sensitivity occur. We hypothesized that an increase in heart rate that results in acceleration of relaxation is accompanied by a proportional decrease in myofilament calcium sensitivity. To test our hypothesis, ultra-thin right ventricular trabeculae were isolated from New Zealand White rabbit hearts and iontophorically loaded with the calcium indicator bis-fura-2. Twitch and intracellular calcium handling parameters were measured and showed a robust increase in twitch force, acceleration of relaxation, and rise in both diastolic and systolic [Ca2+]I with increased frequency. Steady state force[Ca2+]i relationships were measured at frequencies 1,2,3, and 4 Hz at 37°C using potassium induced contractures. EC50 significantly and gradually increased with frequency, from 475±64 nM at 1 Hz to 1004±142 nM at 4 Hz (p<0.05) and correlated with the corresponding changes in RT50. No significant changes in maximal active force development or in the myofilament cooperativity coefficient were found. Myofilament protein phosphorylation was assessed using Pro-Q Diamond staining on protein gels of trabeculae frozen at either 1 Hz or 4 Hz revealing Troponin I and Myosin Light Chain-2 phosphorylation associated with the myofilament desensitization. We conclude that 2 Copyright Information Page 3 of 34 myofilament calcium sensitivity is substantially and significantly decreased at higher frequencies, playing a prominent role in FDAR. Key Words: Force Frequency Relationship, Calcium Transient, Rabbit, Diastolic Dysfunction, Contractility 3 Copyright Information Page 4 of 34 Introduction The ability of the heart to modulate its contractility ensures adequate cardiac output during shifts of physical activity. The principal modulator of cardiac contractile function acts through changes in heart rate. The Bowditch effect, a frequency dependent gain in contractility, is an intrinsic property of cardiac muscle present in all mammals and allows for greater contractile force (positive force-frequency relation, or FFR) and faster relaxation (frequency dependent acceleration of relaxation, or FDAR) at higher pacing frequencies(7) . It is well known that SR calcium handling is enhanced with increasing frequency resulting in greater calcium transient amplitude with a faster decline(6, 13, 18, 25). While it is undisputed SR calcium transport plays a pivotal role in the FFR and FDAR, it remains unresolved whether modulations in myofilament properties are also involved in FDAR. Myofilament calcium sensitivity has been argued to be increased(9), unchanged(15), or decreased(24) with increasing pacing frequency, but has generally been overlooked as a possible modulator of FDAR. Mainly due to technical limitations, a possible frequency-dependency of myofilament calcium sensitivity remained unresolved. In addition, previous experiments performed to assess FFR and FDAR have largely been done in rats(3, 6, 13, 15) and mice(4, 23, 24) where the excitation contraction coupling process shows major differences from larger mammals such as the rabbit, dog, and human(19). Hence, it remains unresolved whether myofilament calcium sensitivity is affected by heart rate, and whether it plays a role in FDAR. 4 Copyright Information Page 5 of 34 Upon -adrenergic stimulation, it is well known that relaxation is accelerated, in part, due to phosphorylation of TnI(16) allowing for faster relaxation. Preliminary data in the rabbit for this study indicated that systolic calcium (like all mammals) and diastolic calcium (unlike small rodents) both rose while still maintaining FDAR. We therefore hypothesize that incremental changes in relaxation rates associated with stepwise increases in frequency (and diastolic calcium) must be accompanied by proportional decreases in myofilament calcium sensitivity to prevent diastolic dysfunction that would otherwise likely occur with increases in diastolic calcium. Our results indeed indicate that a substantial and significant desensitization in myofilament calcium sensitivity occurs as heart rate increases. 5 Copyright Information Page 6 of 34 Methods Male New Zealand White (NZW) rabbits were anesthetized with 50 mg/kg pentobarbital and injected with 5,000 units/kg heparin. After bilateral thoracotomy, hearts were rapidly excised and thin uniform trabeculae (average dimensions 155±13 µm wide by 93±8 µm thick and 1.56±0.2 mm long) were carefully dissected and mounted in the set-up as previously described for rat.(27) Trabeculae were iontophorically loaded (at 25°C) with the calcium indicator bis-fura-2 as described previously.(2, 14, 27) This method of dye-loading has previously been used for rat and mouse muscle by us(14, 26) and others(2, 17). In this study, we successfully adapted the technique for rabbit myocardium. We observed some minor technical differences between the species. Compared to rat, we have a slightly lower success rate in getting a muscle loaded. However, when loaded, the dye leakage that has been reported to be 15%/10 minutes in the rat at 37 Celsius (although less fast at room temperature), was several times slower, often only 20% over the duration of the entire protocol. As a result dye leakage was never to an extent where total fluorescence was less than two-three times background. This expanded the experimental time to about 30 minutes thus allowing for a calibration of the signals that was precluded in rat(27) and mouse(22) muscles at 37 ºC. For these reasons, we used bis-fura-2. This dye has twice the fluorescence intensity compared to its calcium binding, and thus we were able to load more dye initially (preventing from getting close to background), while steering clear of significant dye buffering effects that can occur when loading too much indicator. 6 Copyright Information Page 7 of 34 Due to time limitations of each experiment and the time needed for calibration, the muscle was assigned to one of two protocols; myofilament calcium sensitivity and twitch Force-[Ca2+]i was assessed at 37 ºC either at 1 and 3 Hz (n=7), or at 2 and 4 Hz (n=7). After equilibration at a given frequency, a slowly forming contracture was induced by introducing modified Krebs-Henseleit solution of 110 mM K+/40 mM Na+ for 40 seconds and force and fluorescence signals were recorded as described previously.(27) Bis-fura-2 emissions were calibrated to [Ca2+]i by determining the Rmin and Rmax in each muscle.(14) Force-[Ca2+]i data were plotted and this curve was fit with the Hill-equation using an iterative fitting procedure. EC50, maximal developed force (Fmax), and the Hill-coefficient (nHill) were calculated for each data set. In a sub-set of experiments where dye leakage was extremely small, a third contracture was performed, at the initial frequency. These control experiments allowed us to show that changes in the observed curves were indeed caused by frequency, and not a time dependent phenomenon; curves obtained at 1 Hz before and after assessment at 3 Hz were identical. In order to have a twitch force and relaxation times across the entire investigated range of frequencies (1 to 4 Hz), an additional series of experiments in which twitch kinetics and calcium transients were collected in the same muscle at all four frequencies (n=4). We chose the 1 to 4 Hz range because it encompasses most of the in vivo rabbit range, which is roughly 2-5 Hz. We did not obtain data at the very high end of the spectrum (5 Hz), because of the use of isometric contractions, which are slightly longer than ones in which shortening is allowed. This would likely cause a diastolic elevation of force at 5 Hz that would not reflect the in vivo situation. In addition, 7 Copyright Information Page 8 of 34 because of the high metabolic demand at 5 Hz, rundown is greater, and this may compromise the data. To rule out, or potentially unmask a role of pH in the modulation of FDAR, we measured intracellular pH using the ratiometric pH indicator BCECF (excitation 440 nm and 495 nm, emissions at 535 nm) at all four frequencies. The ratio 440/495 correlates with H+ concentration. The indicator was iontophorically loaded using the same protocol for loading bis-fura-2. Because myofilament protein phosphorylations have in the past been shown to alter myofilament calcium sensitivity, phosphorylation analysis was carried out using Pro-Q Diamond stain technology. Trabeculae twitching at either 1 or 4 Hz were doused with liquid nitrogen till frozen and rapidly removed from the experimental setup. The tissue was then homogenized in an SDS protein lysis buffer and loaded on a 13% 8x10cm SDS-PAGE gel (.75mm thickness, 4% stacking gel, 5 wells). The gel was then run for 45 minutes at 175V. The gel was fixed overnight and stained using the ProQ Diamond phosphoprotein basic staining protocol (Invitrogen). Following staining and destaining, the gel was imaged in a Typhoon variable mode scanner (GE Healthcare) using an excitation wavelength of 532 nm and a 610 nm (BP30) emission filter at a PMT setting of 450. After imaging, the gel was washed in water for 1 hour and stained for total protein following the Sypro Ruby basic staining protocol (Invitrogen). Following staining and destaining, the gel was imaged in a Typhoon scanner using an excitation wavelength of 488 nm and a 610 nm (BP30) emission filter at a PMT setting of 425. The gel was then stained using coomassie Brilliant Blue, destained, and imaged with a 8 Copyright Information Page 9 of 34 desktop scanner. Densitometric analysis was performed on each band and the ratio of Pro-Q stain intensity to total protein intensity was calculated. Data obtained was analyzed with a paired or un-paired t-test (where applicable) with two-tailed p-value of <0.05 being considered significant. A one way ANOVA with repeated measures was used to analyze the FFR data (developed force, RT50, diastolic and systolic calcium) where all four frequencies were measured in a single muscle. For protein data, ANOVA was used to detect differences, followed by a post-hoc t-test. Data are depicted as mean ± SEM. 9 Copyright Information Page 10 of 34 Results Figure 1a and 1b show representative force and calcium tracings at 2 Hz and 4 Hz showing typical FFR and FDAR behavior. Notice that although calcium decline is faster at 4 Hz, calcium is higher at all time points in the 4 Hz muscle. The difference between 2 and 4 Hz was similar to the difference between 1 and 3 Hz. Figure 1c shows the corresponding phase plane plots of the twitch force-calcium between 2 and 4 Hz. The rightward shift of the relaxation trajectory at the two frequencies (which is absent in small rodents)(14) initiated suspicions of a strong myofilament calcium sensitivity role in the FDAR. Figure 2a shows the peak twitch force at all four frequencies measured in muscles where all frequencies were investigated. These data were taken from 4 muscles that did not undergo K+ contracture protocols (due to time limitations regarding assessment of fluorescence at 37 º C). The respective average relaxation times from peak to 50% of peak (RT50) are shown in figure 2b. All trabeculae exhibited the expected normal positive FFR and normal FDAR generally found in the mammalian myocardium. When switching from one frequency to another (From 2 to 4, 4 to 2, 1 to 3, or 3 to 1), we found that it took 45 ± 4 seconds to reach a new steady state twitch force. This is significantly slower than what is generally observed for smaller rodents (515 seconds typically), under otherwise near identical conditions. Figure 3 shows the diastolic and peak systolic [Ca2+]i values for calcium transients at all four frequencies. Calcium transient amplitude increased substantially as frequency was increased. Diastolic intracellular calcium concentration also 10 Copyright Information Page 11 of 34 significantly rose with increasing stimulation frequency. With increasing frequency, the amplitude of the intracellular calcium concentration rose, due to a larger rise in systolic versus diastolic calcium. Figure 4a shows a chart of a typical experiment when the high potassium solution was superfused onto the muscle; the twitch contractions (2 Hz in this example) began to disappear (due to loss of membrane potential) and diastolic calcium levels (measured right before each stimulation pulse, at end of diastole) and force began to rise. We tracked [Ca2+]i (bis-fura-2 ratios) and force all the way to the peak of the contracture (occurring in 20-30 seconds from initial rise). The downward leg of the K+ contracture was analyzed as well in most of the experiments, and generally no hysteresis was observed (superimposable on the upward leg). In the few muscles where some hysteresis was observed, this was well past peak (at or past half way down), resulting in the downward curvediverging from the upward curve, possibly due to fatigue (not shown). Figure 4b shows an example of how the data was analyzed. From the fitted curve through the force-calcium data combinations, maximal active developed force (Fmax), calcium sensitivity (EC50), and cooperativity (nHill) were determined. Figure 5a shows the raw force-calcium data from a typical experiment. A clear rightward shift of sensitivity from 1 to 3 Hz, was observed, followed by a shift back to the left upon a repeat at 1 Hz. A small amount of Fmax is lost due to time-dependent rundown that can never altogether be avoided. Average values for EC50 at the 2 sets of frequencies measured are depicted in Figure 2b. Fmax and nHill parameters did not significantly change with frequency: nHill at 1, 2, 3, and 4 Hz amounted to 5.4±0.7, 11 Copyright Information Page 12 of 34 4.6±0.6, 6.0±1.1, and 4.6±0.7, Fmax amounted to 11.2±2.8, 13.0±2.5, 16.6±2.0, and 16.3±2.2 mN/mm2 respectively. In 14 experiments, we assessed both FDAR (denoted as RT50 measurements), as well as myofilament calcium sensitivity. Figure 6 shows the relationship between the average EC50 and RT50 values obtained in the same muscles, grouped per frequency. There is a strong linear relationship between changes in myofilament calcium sensitivity and the change in relaxation rates. As changes in frequency may modulate sodium levels and or an altered energetic state, this could lead to significant changes in intracellular pH. To test whether pH changes could potentially explain (in part) the desensitization of the myofilaments at increasing frequency, we did additional experiments using the pH indicator BCECF. The fluorescence ratio 440/495 nm is inversely proportional to pH (ratio decreases as pH increases). Although time limitations currently do not allow a full calibration of the signals, we observed no change in the 440/495 ratio as frequency increased (Figure 7). Previous experience with the indicator has shown us that a change in ratio of at least 0.010 is necessary to elicit a detectable change in force (unpublished observations). Hence, we conclude pH changes are not responsible for the shift of the frequency-induced myofilament calcium sensitization. In attempt to further describe a possible mechanism for frequency based myofilament desensitization, the phosphorylation status of myofilament proteins were assessed using the Pro-Q Diamond stain. Figure 8a shows a 1D SDS gel stained for total protein where 3 muscles that had been stimulated at 1 Hz, 3 muscles at 4 Hz, and 2 muscles at 1 Hz while under the influence of 1 µM Isoproterenol. The 2 muscles 12 Copyright Information Page 13 of 34 stimulated in presence of isoproterenol were included as a positive control for TnI phosphorylation. Figure 8b shows the same gel stained with the Pro-Q Diamond stain. The average ratios of phosphoprotein density to total protein are shown in Figure 8c and 8d for TnI and MLC-2. A significantly greater level of phosphorylation of TnI (panel C) and MLC-2 (panel D) was observed in the muscles stimulated at 4 Hz and those stimulated with isoproterenol compared to those stimulated at 1 Hz. 13 Copyright Information Page 14 of 34 Discussion Myofilament calcium sensitivity modulations based on frequency have been occasionally speculated by investigators attempting to describe the mechanism of the FFR and FDAR in more detail. However, there is little agreement as to the direction of a possible shift in myofilament calcium responsiveness. Previously, myofilament calcium sensitivity has been suggested to be sensitized(9), unchanged(15), or desensitized(24) at higher frequencies, but more often in the studies addressing FDAR a possible myofilament role in FDAR was not addressed altogether. Differences in findings are more than likely due to differences in experimental conditions, methods, and animal models chosen. Gao et al(9) concluded that a frequency dependent myofilament sensitization occurred and partially accounted for the increase in force. Their conclusion was based on a leftward shift in the relaxation trajectory of phase plane twitch force-[Ca2+]i relationship. They observed a disproportional increase in force for a given calcium concentration in the dynamic relaxation phase, and concluded a likely sensitization of the myofilaments to be responsible. Kassiri et al(15) found no significant difference between 0.2 Hz and 2 Hz stimulations in the rat at room temperature. They used high-frequency stimulations in the presence of CPA to induce steady state force-calcium relationships, and it cannot be determined whether highfrequency stimulations to evoke tetani may overshadow frequency-dependent effects, or other experimental conditions may have possibly masked frequency-dependent changes. Tong et al(24) investigated the role of frequency on myofilament sensitivity using an analytical method of analyzing dynamic force-[Ca2+]i phase plane loops and 14 Copyright Information Page 15 of 34 concluded a frequency dependent desensitization to exist, albeit at non-physiologic temperature and sub-physiological frequency. Although the conclusion of the latter investigation is similar to ours, force and calcium are only in equilibrium during certain periods of diastole and not during the bulk part of the force decline. In addition, the speed of calcium handling in small rodents far exceeds that of larger mammals and could result in the emergence of different rate limiting steps for relaxation between species. Thus, whether frequency-based modulation of myofilament calcium sensitivity occurs remained incompletely understood. Using our recently developed force-calcium assessment protocol(27) we were able to assess myofilament calcium sensitivity in larger mammals, and measure this relationship in the physiological frequency range as well as at physiologic temperature. We here show that the myofilament matrix desensitizes upon increase stimulation frequency. The K+ contractures provide unique data into steady state myofilament calcium sensitivity that is modulated during dynamic cardiac twitches, as they do not require poisoning of the SR, nor a high-frequency stimulation that could potentially mask frequency-dependent effects. To further validate the method, we insured that although diastolic and systolic calcium were different between the different frequencies, the calcium (amount and speed) entering the cytoplasm during the K+ contractures was not different between the frequencies. This insured that as the K+ contractures developed, changes in the myofilament status associated with the rising calcium per se would be similar at both frequencies. Thus, the only difference between two contractures was the frequency of stimulation before, and during the contracture. Second, after performing K+ contractures at both frequencies, we repeated the first frequency to observe if the 15 Copyright Information Page 16 of 34 second measurement was comparable to the first. This ruled out irreversible changes that would alter the response during a second contracture, as we observed full reversibility, and the results were independent of the order in which frequencies were used. With these control experiments, combined with the relatively low inter-muscle variability at the various frequencies, we are confident that the changes in myofilament calcium responsiveness were caused by changes in stimulation frequency. FDAR has been shown to occur over a wide range of frequencies, in many species, and even in the face of a negative FFR observed in failing tissue(20). Clearly, accelerated calcium handling may in part be responsible for FDAR via abbreviation of the part of the calcium transient that is above myofilament calcium binding threshold; abbreviation of a calcium transients per se will speed up relaxation. However, during frequency dependent activation, not only is the [Ca2+]i decline faster, the [Ca2+]i amplitude is increased. As a result, throughout the bulk of the relaxation phase, despite the faster [Ca2+]i decline, the absolute [Ca2+]i is increased at all given time points throughout the larger part of the relaxation phase. Hence, with unaltered myofilament sensitivity, the muscle would simply not be able to relax as fast. In rabbits, dogs, and humans, ~30% of the intracellular calcium decline is achieved via the Na+/Ca2+ exchanger (NCX), unlike rats and mice where this is only ~2-5%. Removal of Ca2+ via NCX is significantly slower than re-uptake of Ca2+ into the SR via the SR Ca2+-ATPase. As a result, in larger mammals, diastolic calcium rises with increased heart rate much more than in rats and mice as we here observe, which is in close agreement to what others(1) have observed in rabbit myocytes. Therefore, it is likely that the role myofilament calcium sensitivity plays in FDAR may be more critical in larger mammals 16 Copyright Information Page 17 of 34 than in small rodents. In order to have a faster force decline at increased frequency, the myofilaments of large mammals would have to be either less sensitive to [Ca2+]i, or produce significantly less force per cross-bridge to explain the accelerated relaxation at higher rates. Clearly, our results indicate that indeed frequency-induced desensitization occurs in healthy rabbit myocardium, and thus helps to explain how myocardium of larger mammals is able to relax at high heart rates. Compared to calcium sensitivity in skinned fiber preparations, we observed lower EC50 values for the lower heart rates used. These values, however, are consistent with previous studies in intact myocardium, confirming that calcium sensitivity is different in intact versus skinned myocardium.(8, 15, 27) A possible limitation of our study is that assessment of myofilament calcium sensitivity takes ~20-30 seconds, whereas frequency dependent changes in calcium transients and twitch force parameters take only a few seconds to begin developing. Although it is possible that changes in myofilament calcium sensitivity could occur throughout a contracture as calcium rises (skewing the absolute values), these changes would have been the similar between frequencies. Similar to shifts observed in skinned fiber data, a shift in calcium sensitivity may be more revealing of a physiological process than the absolute calcium concentration at EC50 at which this occurs, as many factors, including computer calculations of the free calcium concentration, may not always be absolute. In addition, it has been speculated that intracellular pH may be involved in the frequency dependent changes. Higher intracellular sodium levels at higher frequencies could possibly reduce the intracellular pH via reduced Na+/H+ exchange. We observed no change in 17 Copyright Information Page 18 of 34 intracellular pH when measured using BCECF at the range of frequencies investigated, and the observed calcium sensitivity shifts thus cannot be explained by pH effects. Quantitatively, the observed shift in myofilament calcium sensitivity was very substantial; between 1 and 4 Hz a 0.32 pCa shift was observed, which is at least a similar magnitude of a shift as reported for PKA-dependent desensitization via TnI phosphorylation(5, 12, 16). It is therefore not entirely surprising that a significant increase in TnI phosphorylation was found at 4 Hz compared to 1 Hz and that the phosphorylation at 4 Hz was not significantly different from muscles stimulated in presence of isoproterenol. Although it is well known that TnI phosphorylation desensitizes the myofilaments(16), the current data on TnI phosphorylation is only correlative with frequency and a causal relationship needs to yet be established. MLC-2 was also found to be phosphorylated significantly more in 4 Hz compared to 1 Hz. This is consistent with a previous finding in isolated perfused rabbit septum where a 4 fold increase in MLC-2 phosphorylation was found between quiescent tissue and that which was stimulated at 2 Hz (21). The implications of MLC-2 phosphorylation remain poorly understood. More than one molecular signaling pathway could possibly be involved in the mediation of this effect; both PKA and PKC can desensitize the myofilament matrix via various phosphorylation actions and have been implicated in FDAR(23). Although in TnI and MLC-2 we have identified 2 potential molecular targets that can be responsible for the frequency-based myofilament desensitization, a complete and conclusive dissection of the underlying mechanism is deemed well beyond the current scope of this study. 18 Copyright Information Page 19 of 34 Clinically, an impaired FFR is one of the major hallmarks of cardiac failure(11) and diastolic dysfunction is present, and often even dominant, in a large percentage of heart failure patients(10). If the frequency-dependent desensitization as we here describe does not occur in failing myocardium, or to a lesser degree, it is conceivable that this may be a major underlying and/or contributing factor to diastolic dysfunction in heart failure. Even if adequate calcium handling would be present, loss of the ability to sufficiently desensitize the myofilaments at higher heart rate may cause diastolic dysfunction in presence of normal contractile ability. 19 Copyright Information Page 20 of 34 Acknowledgements This work was supported by National Institutes of Health Grants RO1HL73816 and KO2HL083957 to PMLJ, and an American Heart Association Ohio Valley Affiliate Fellowship to KDV. We wish to thank Dr. Mark Ziolo for helpful discussions. 20 Copyright Information Page 21 of 34 References 1. Baartscheer A, Schumacher CA, Belterman CN, Coronel R, and Fiolet JW. SR calcium handling and calcium after-transients in a rabbit model of heart failure. Cardiovasc Res 58: 99-108, 2003. 2. Backx PH and Ter Keurs HE. Fluorescent properties of rat cardiac trabeculae microinjected with fura-2 salt. Am J Physiol Heart Circ Physiol 264: H1098-1110, 1993. 3. Bassani RA, Mattiazzi A, and Bers DM. CaMKII is responsible for activity- dependent acceleration of relaxation in rat ventricular myocytes. Am J Physiol 268: H703-712, 1995. 4. Bluhm WF, Kranias EG, Dillmann WH, and Meyer M. Phospholamban: a major determinant of the cardiac force-frequency relationship. Am J Physiol Heart Circ Physiol 278: H249-255, 2000. 5. de Tombe PP and Stienen GJ. Protein kinase A does not alter economy of force maintenance in skinned rat cardiac trabeculae. Circ Res 76: 734-741, 1995. 6. DeSantiago J, Maier LS, and Bers DM. Frequency-dependent acceleration of relaxation in the heart depends on CaMKII, but not phospholamban. J Mol Cell Cardiol 34: 975-984, 2002. 7. Endoh M. Force-frequency relationship in intact mammalian ventricular myocardium: physiological and pathophysiological relevance. Eur J Pharmacol 500: 7386, 2004. 8. Gao WD, Backx PH, Azan-Backx M, and Marban E. Myofilament Ca2+ sensitivity in intact versus skinned rat ventricular muscle. Circ Res 74: 408-415, 1994. 21 Copyright Information Page 22 of 34 9. Gao WD, Perez NG, and Marban E. Calcium cycling and contractile activation in intact mouse cardiac muscle. J Physiol (Lond) 507: 175-184, 1998. 10. Grossman W. Diastolic dysfunction and congestive heart failure. Circulation 81: III1-7., 1990. 11. Hasenfuss G and Pieske B. Calcium cycling in congestive heart failure. J Mol Cell Cardiol 34: 951-969, 2002. 12. Hofmann PA and Lange JH, 3rd.Effects of phosphorylation of troponin I and C protein on isometric tension and velocity of unloaded shortening in skinned single cardiac myocytes from rats. Circ Res 74: 718-726, 1994. 13. Hussain M, Drago GA, Colyer J, and Orchard CH. Rate-dependent abbreviation of Ca2+ transient in rat heart is independent of phospholamban phosphorylation. Am J Physiol 273: H695-706, 1997. 14. Janssen PML, Stull LB, and Marban E. Myofilament properties comprise the rate-limiting step for cardiac relaxation at body temperature in the rat. Am J Physiol Heart Circ Physiol 282: H499-H507, 2002. 15. Kassiri Z, Myers R, Kaprielian R, Banijamali HS, and Backx PH. Rate- dependent changes of twitch force duration in rat cardiac trabeculae: a property of the contractile system. J Physiol (Lond) 524: 221-231, 2000. 16. Kranias EG and Solaro RJ. Phosphorylation of troponin I and phospholamban during catecholamine stimulation of rabbit heart. Nature 298: 182-184, 1982. 17. Layland J and Kentish JC. Positive force- and [Ca2+]i-frequency relationships in rat ventricular trabeculae at physiological frequencies. Am J Physiol Heart Circ Physiol 276: H9-H18, 1999. 22 Copyright Information Page 23 of 34 18. Li L, Chu G, Kranias EG, and Bers DM. Cardiac myocyte calcium transport in phospholamban knockout mouse: relaxation and endogenous CaMKII effects. Am J Physiol 274: H1335-1347, 1998. 19. Maier LS, Bers DM, and Pieske B. Differences in Ca(2+)-Handling and Sarcoplasmic Reticulum Ca(2+)-Content in Isolated Rat and Rabbit Myocardium. J Mol Cell Cardiol 32: 2249-2258, 2000. 20. Pieske B, Kretschmann B, Meyer M, Holubarsch C, Weirich J, Posival H, Minami K, Just H, and Hasenfuss G. Alterations in intracellular calcium handling associated with the inverse force-frequency relation in human dilated cardiomyopathy. Circulation 92: 1169-1178, 1995. 21. Silver PJ, Buja LM, and Stull JT. Frequency-dependent myosin light chain phosphorylation in isolated myocardium. J Mol Cell Cardiol 18: 31-37, 1986. 22. Stull LB, Leppo M, Marban E, and Janssen PML. Physiological determinants of contractile force generation and calcium handling in mouse myocardium. J Mol Cell Cardiol 34: 1367-1376, 2002. 23. Takimoto E, Soergel DG, Janssen PM, Stull LB, Kass DA, and Murphy AM. Frequency- and afterload-dependent cardiac modulation in vivo by troponin I with constitutively active protein kinase A phosphorylation sites. Circ Res 94: 496-504. Epub 2004 Jan 2015., 2004. 24. Tong CW, Gaffin RD, Zawieja DC, and Muthuchamy M. Roles of phosphorylation of myosin binding protein-C and troponin I in mouse cardiac muscle twitch dynamics. J Physiol 558: 927-941, 2004. 23 Copyright Information Page 24 of 34 25. Valverde CA, Mundina-Weilenmann C, Said M, Ferrero P, Vittone L, Salas M, Palomeque J, Petroff MV, and Mattiazzi A. Frequency-dependent acceleration of relaxation in mammalian heart: a property not relying on phospholamban and SERCA2a phosphorylation. J Physiol 562: 801-813, 2005. 26. Varian KD, Raman S, and Janssen PM. Measurement of myofilament calcium sensitivity at physiological temperature in intact cardiac trabeculae. Am J Physiol Heart Circ Physiol 290: H2092-2097, 2006. 27. Varian KD, Raman S, and Janssen PML. Measurement of Myofilament Calcium Sensitivity at Physiological Temperature in Intact Cardiac Trabeculae. Am J Physiol Heart Circ Physiol 290: H2092-H2097, 2006. 24 Copyright Information Page 25 of 34 Figure Legends: Figure 1. Example calcium transients (A), force tracings (B), and the resulting phase plane plots (C) for a trabecula stimulated at 2 and 4 Hz. As frequency increased, force increases and relaxation is accelerated, while systolic calcium is elevated, and a rightward shift of the relaxation trajectory in the phase plane plots is observed. Figure 2. Panel A: Maximum twitch developed force parameters for all four frequencies. The rabbit trabeculae exhibited a typical positive force-frequency through the pacing range of 1-4 Hz. In addition, relaxation accelerated throughout this range, exhibiting a positive FDAR (panel B). These data were obtained in muscles in which all four frequencies were measured n=7, paired data (* = p<0.05 compared to 1 Hz, ** p<0.05 compared to 1 and 2 Hz). Figure 3. Diastolic and peak systolic [Ca2+]i values for all 4 frequencies. Both diastolic and systolic [Ca2+]i rise with frequency, whereas systolic [Ca2+]i rises disproportionately higher (n=7) (* = p<0.05 compared to 1 Hz, ** p<0.05 compared to 1 and 2 Hz). Figure 4. A: Typical experiment in which a rabbit trabecula was stimulated at 2 Hz, and subjected to the high potassium solution (K+ arrow). Developed force and [Ca2+]i are shown on the same time scale, depicting how the steady state force-[Ca2+]i data were obtained. B: Data obtained were plotted with a curve fit. Fmax, EC50, and the nHill were derived from the curve fit equation. 25 Copyright Information Page 26 of 34 Figure 5. A: Using the K+ contracture protocol, a steady state force-[Ca2+] relationship was measured at 1 Hz, 3 Hz, and then repeated at 1 Hz. This shows that the sensitivity shifts that are based on frequency are reversible. B: Average EC50 values (n=14), *p<0.05 paired (n=7), **p<0.01, unpaired (n=7/group). Figure 6. Relationship between the EC50 and RT50. From 14 experiments, RT50 data (obtained from twitch contractions), correlate well with myofilament calcium sensitivity (EC50). Data at 1 and 3 Hz were obtained in 7 trabeculae, data obtained at 2 and 4 Hz were obtained in a separate group of 7 trabeculae, using the identical protocol and timeline. Figure 7. The relationship between stimulation frequency and intracellular pH. The ratio (440/495) is inversely proportional to pH and does not change with frequency (n=4). Figure 8. SDS PAGE of muscles frozen while contracting at either at 1 Hz, 4 Hz or 1 Hz in the presence of 1 µM isoproterenol (Iso). A: Total protein (Sypro Ruby) B: Phosphoprotein (Pro-Q Diamond stain). The ratio of band density of phosphoprotein over total protein for TnI (C), and MLC-2 (D). * indicates a significant difference (p<0.05) in this ratio was found between 1 and 4 Hz, and between 1 Hz and Iso at bands corresponding with TnI and MLC-2. Differences were not significant between 4 Hz and Iso. The trabeculae stimulated at 1 Hz with 1 µM isoproterenol were done as a positive control for TnI phosphorylation (n=4 per group). 26 Copyright Information Page 27 of 34 Copyright Information Page 28 of 34 Copyright Information Page 29 of 34 Copyright Information Page 30 of 34 Copyright Information Page 31 of 34 Copyright Information Page 32 of 34 Copyright Information Page 33 of 34 Copyright Information Iso C 180 97 82 66 42 29 TnI MLC-2 18 total protein D kDa 2 1.5 * 1 0.5 0 1Hz 4Hz Iso 3 180 97 82 66 42 29 TnI MLC-2 Ratio TnI Phosph/Total (Arb Units) B Ratio TnI Phosph/Total (Arb Units) Iso 4Hz 4Hz 4Hz 1Hz 1Hz kDa 1Hz A MW marker Page 34 of 34 2.5 2 * 1.5 1 0.5 18 0 phosphoprotein Copyright Information 1Hz 4Hz Iso