| Effects of Sustained Length-Dependent Activation on In Situ Cross-Bridge Dynamics in Rat Hearts Biophysical Journal, Volume 93, Issue 12, 15 December 2007, Pages 4319-4329 James T. Pearson, Mikiyasu Shirai, Hirotsugu Tsuchimochi, Daryl O. Schwenke, Takayuki Ishida, Kenji Kangawa, Hiroyuki Suga and Naoto Yagi Abstract The cellular basis of the length-dependent increases in contractile force in the beating heart has remained unclear. Our aim was to investigate whether length-dependent mediated increases in contractile force are correlated with myosin head proximity to actin filaments, and presumably the number of cross-bridges activated during a contraction. We therefore employed x-ray diffraction analyses of beat-to-beat contractions in spontaneously beating rat hearts under open-chest conditions simultaneous with recordings of left ventricle (LV) pressure-volume. Regional x-ray diffraction patterns were recorded from the anterior LV free wall under steady-state contractions and during acute volume loading (intravenous lactate Ringers infusion at 60ml/h, <5min duration) to determine the change in intensity ratio (/) and myosin interfilament spacing (). We found no significant change in end-diastolic (ED) intensity ratio, indicating that the proportion of myosin heads in proximity to actin was unchanged by fiber stretching. Intensity ratio decreased significantly more during the isovolumetric contraction phase during volume loading than under baseline contractions. A significant systolic increase in myosin head proximity to actin filaments correlated with the maximum rate of pressure increase. Hence, a reduction in interfilament spacing at end-diastole (∼0.5nm) during stretch increased the proportion of cross-bridges activated. Furthermore, our recordings suggest that expansion was inversely related to LV volume but was restricted during contraction and sarcomere shortening to values smaller than the maximum during isovolumetric relaxation. Since ventricular volume, and presumably sarcomere length, was found to be directly related to interfilament spacing, these findings support a role for interfilament spacing in modulating cross-bridge formation and force developed before shortening. Abstract | Full Text | PDF (437 kb) |
| Nonlinear Force-Length Relationship in the ADP-Induced Contraction of Skeletal Myofibrils Biophysical Journal, Volume 93, Issue 12, 15 December 2007, Pages 4330-4341 Yuta Shimamoto, Fumiaki Kono, Madoka Suzuki and Shin’ichi Ishiwata Abstract The regulatory mechanism of sarcomeric activity has not been fully clarified yet because of its complex and cooperative nature, which involves both Ca and cross-bridge binding to the thin filament. To reveal the mechanism of regulation mediated by the cross-bridges, separately from the effect of Ca, we investigated the force-sarcomere length (SL) relationship in rabbit skeletal myofibrils (a single myofibril or a thin bundle) at >2.2m in the absence of Ca at various levels of activation by exogenous MgADP (4–20mM) in the presence of 1mM MgATP. The individual SLs were measured by phase-contrast microscopy to confirm the homogeneity of the striation pattern of sarcomeres during activation. We found that at partial activation with 4–8mM MgADP, the developed force nonlinearly depended on the length of overlap between the thick and the thin filaments; that is, contrary to the maximal activation, the maximal active force was generated at shorter overlap. Besides, the active force became larger, whereas this nonlinearity tended to weaken, with either an increase in [MgADP] or the lateral osmotic compression of the myofilament lattice induced by the addition of a macromolecular compound, dextran T-500. The model analysis, which takes into account the [MgADP]-and the lattice-spacing-dependent probability of cross-bridge formation, was successfully applied to account for the force-SL relationship observed at partial activation. These results strongly suggest that the cross-bridge works as a cooperative activator, the function of which is highly sensitive to as little as ≤1nm changes in the lattice spacing. Abstract | Full Text | PDF (573 kb) |
| A Quantitative Analysis of Cardiac Myocyte Relaxation: A Simulation Study Biophysical Journal, Volume 90, Issue 5, 1 March 2006, Pages 1697-1722 S.A. Niederer, P.J. Hunter and N.P. Smith Abstract The determinants of relaxation in cardiac muscle are poorly understood, yet compromised relaxation accompanies various pathologies and impaired pump function. In this study, we develop a model of active contraction to elucidate the relative importance of the [Ca] transient magnitude, the unbinding of Ca from troponin C (TnC), and the length-dependence of tension and Ca sensitivity on relaxation. Using the framework proposed by one of our researchers, we extensively reviewed experimental literature, to quantitatively characterize the binding of Ca to TnC, the kinetics of tropomyosin, the availability of binding sites, and the kinetics of crossbridge binding after perturbations in sarcomere length. Model parameters were determined from multiple experimental results and modalities (skinned and intact preparations) and model results were validated against data from length step, caged Ca, isometric twitches, and the half-time to relaxation with increasing sarcomere length experiments. A factorial analysis found that the [Ca] transient and the unbinding of Ca from TnC were the primary determinants of relaxation, with a fivefold greater effect than that of length-dependent maximum tension and twice the effect of tension-dependent binding of Ca to TnC and length-dependent Ca sensitivity. The affects of the [Ca] transient and the unbinding rate of Ca from TnC were tightly coupled with the effect of increasing either factor, depending on the reference [Ca] transient and unbinding rate. Abstract | Full Text | PDF (437 kb) |
Copyright © 2007 The Biophysical Society. All rights reserved.
Biophysical Journal, Volume 92, Issue 9, L73-L75, 1 May 2007
doi:10.1529/biophysj.107.104257
Biophysical Letters
Gerrie P. Farman*, Edward J. Allen*, David Gore†, Thomas C. Irving† and Pieter P. de Tombe*,
, 
* Center for Cardiovascular Research, Department of Physiology and Biophysics, University of Illinois College of Medicine, Chicago, Illinois 60612-7342
† Department of Biological, Chemical, and Physical Sciences, Illinois Institute of Technology, Chicago, Illinois 60616
Address reprint requests and inquiries to Pieter P. de Tombe.A unifying theory that has gained acceptance proposes that the impact of sarcomere length (SL) on myofilament Ca2+ sensitivity is due to changes in the spacing between the thick and thin filaments 1,2. Because myofibrils are believed to maintain close to constant volume 3, elongation of the sarcomere is expected to lead to a reduction of the distance between the thick and thin filaments. A closer approximation of the myosin heads to actin may be expected to increase the probability of strong cross-bridge formation at a given concentration of activating calcium. Several experiments have provided support for this theory. Osmotic compression of the myofilament lattice by high molecular weight molecules that cannot enter the myofilament lattice structure, such as dextran, induces an increase in myofilament Ca2+ sensitivity concomitant with a reduction of muscle diameter 1,2,3. Since it has been shown that a reduction in muscle diameter occurs in parallel with a reduction in myofilament lattice spacing in skeletal muscle, the increase in myofilament Ca2+ sensitivity after dextran treatment without a change in SL is consistent with the interfilament spacing theory. Fuchs et al., who showed that myofilament Ca2+ sensitivity could be rendered length independent when muscle diameter was kept constant by applying an appropriate amount of dextran at each SL 1, provided more direct support for this theory. A similar result was obtained by McDonald et al., who showed in single permeabilized cardiac myocytes that application of dextran at a short SL was sufficient to increase myofilament Ca2+ sensitivity to match that recorded at the high SL, despite the fact that SL had not changed 2. On the other hand, we have recently suggested that interfilament spacing alone cannot be the only determinant of myofilament Ca2+ sensitivity 4,5. These conclusions, however, are based entirely on measurements of either muscle diameter or interfilament spacing in relaxed, noncontracting muscle preparations. It is possible that the myofilament lattice rearranges during contraction, the very condition that exists when myofilament Ca2+ sensitivity is assessed 3. Early experiments in skinned striated muscle suggested that upon activation there is an expansion of the myofilament lattice, which is likely due to the attachment of the myosin heads to the thin filament. A similar conclusion was also derived by Cecchi et al. 6, using a segment length clamp protocol in intact amphibian skeletal muscle. As in skeletal muscle, interfilament spacing in both intact and skinned myocardium is a function of SL 4, and large changes in SL usually accompany active contraction in isolated mammalian myocardium 7. Thus, whether systolic myofilament lattice spacing deviates from the diastolic lattice spacing in mammalian myocardium independent of changes in SL is currently unknown. Accordingly, to answer this question, we implemented an iterative feedback technique to control SL throughout the contraction in isolated rat cardiac trabeculae while interfilament spacing was simultaneously assessed by x-ray diffraction, either during diastole or at the peak of systole and over a wide range of SL and inotropic states.
All experiments were performed according to University of Illinois, Chicago, institutional guidelines concerning the care and use of experimental animals. Male rats (LBNF-1; 250-350g) received intraperitoneal injections of 50 mg/kg sodium pentobarbital and 1.5ml heparin 5. Under deep anesthesia, the heart was excised and perfused retrograde with a modified Krebs-Henseleit solution also containing 0.2mM CaCl2 and 20mM 2,3-butanedione monoxime to inhibit spontaneous contractions (25oC; pH 7.4) 5. Right ventricular trabeculae were dissected, mounted in the experimental apparatus, stimulated at 1Hz, and left to equilibrate for ∼30min at [Ca2+]=1.2mM and diastolic SL=2.1μm. Next, three separate experimental runs were conducted at [Ca2+]=0.3, 0.7 and 1.2mM. In each run, SL was clamped by iterative feedback every 10th contraction at SL=1.9, 2.0, 2.1, or 2.2μm as previously described in detail 8. Briefly, SL clamp is achieved in the central segment of the muscle preparation close to the stationary attachment site of the muscle (i.e., the side attached to the force transducer) by appropriately stretching or releasing the muscle at the other side (connected to a high-speed motor). This approach allows for a SL clamp with minimal motion artifact at the site of measurement 8; an iterative feedback algorithm derives the muscle length profile that is required to achieve SL clamp. Briefly, the actual SL attained during the contraction (as measured by laser diffraction) is compared to the desired SL waveform so as to calculate a muscle length waveform via standard proportional integrative-differential feedback, which is to be applied during the next controlled contraction; this process is repeated over several contractions—usually 5–8—until the algorithm converges onto the desired SL waveform, after which several contractions can be recorded in succession under SL control (we averaged five contractions in this study). We carefully aligned a focused, shuttered x-ray beam (250×250μm; λ=0.103nm; 10ms) perpendicular to the laser beam and at the same area of the muscle where SL was controlled; this arrangement allows for the simultaneous measurement of myofilament lattice spacing and SL. Details of the x-ray apparatus have been described previously 5.
Figure 1A illustrates representative recordings obtained from a rat cardiac trabecula in a series of contractions with SL control from SL=1.9μm to 2.2μm. In between the SL clamped contractions, diastolic SL was kept constant at SL=2.1μm such that each controlled contraction commenced at a comparable contractile state. For each SL controlled contraction, SL was stretched or released to the desired SL just before electrical stimulation and then held constant at that SL. Consistent with our previous studies 8, twitch force under SL clamp was both enhanced and prolonged as compared to SL auxotonic contractions (data not shown); furthermore, peak twitch force increased with increasing SL. The x-ray beam shutter was opened either during the peak of the contraction or just before stimulation in separate contractions under SL clamp as illustrated in panel C. The x-ray diffraction pattern was captured on a cooled charge-coupled device detector; diffraction patterns thus obtained either in diastole or peak systole allowed for accurate determination of interfilament spacing based on the d1,0 x-ray reflections. Fig. 1, panel D, illustrates the broadening as well as the shift in the ratio of the 1,0–1,1 intensity in going from diastole to systole, consistent with previous reports 3,6,9. It should be noted, however, that quantitative analysis of those aspects of the data would have required much longer x-ray exposures, and this was not the purpose of our experiments.
Fig. 2 summarizes the average data obtained in all experimental series at three levels of contractile state as varied by alterations in extracellular [Ca2+]. In the top panel, the interfilament spacing normalized to the spacing obtained in diastole at SL=2.1μm is plotted as a function of SL. The solid symbols indicate the diastolic lattice spacing, whereas the open symbols indicate the lattice spacing at peak systole; the dashed line in this panel indicates normalized interfilament spacing as predicted from constant myofilament lattice volume behavior. Two observations are apparent from these data. First, interfilament spacing is inversely proportional to SL with little deviation between diastole and the peak of systole. Second, the data are closely clustered to the dashed line, indicating that mammalian myocardium adheres close to constant myofilament lattice volume regardless of either SL or activation state. The notion that interfilament spacing is not affected by the transition from diastole to systole is further confirmed by the data shown in Figure 2B. Here, peak systolic interfilament spacing relative to the diastolic spacing is plotted as function of SL. As is clear from these data, there is <1% change in interfilament spacing during SL isometric cardiac muscle contractions, regardless of inotropic state or SL. Thus, our data support the use of relaxed interfilament spacing to predict the behavior of the cardiac sarcomere throughout the contraction. It should be noted that in our study, we did not assess dynamic changes in interfilament spacing in activated skinned myocardium, nor did we investigate whether our results also hold true for muscle diameter, a parameter closely correlated with interfilament spacing.
In conclusion, in our study in isolated rat myocardium, we found that active SL isometric muscle contraction occurs without a physiologically significant change in interfilament spacing. Our data support the notion of a constant volume of the sarcomere lattice during the course of an active twitching contraction.
This work was supported, in part, by National Institutes of Health HL62426 and HL075494. Use of the Advanced Photon Source was supported by the U.S. Dept. of Energy, Basic Energy Sciences, Office of Energy Research, under contract No. W-31-109-ENG-38. BioCAT is a U.S. National Institutes of Health-supported Research Center (RR08630).
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