Cross-bridge attachment and stiffness during isotonic shortening of intact single muscle fibers.

Equatorial x-ray diffraction pattern intensities (I10 and I11), fiber stiffness and sarcomere length were measured in single, intact muscle fibers under isometric conditions and during constant velocity (ramp) shortening. At the velocity of unloaded shortening (Vmax) the I10 change accompanying activation was reduced to 50.8% of its isometric value, I11 reduced to 60.7%. If the roughly linear relation between numbers of attached bridges and equatorial signals in the isometric state also applies during shortening, this would predict 51-61% attachment. Stiffness (measured using 4 kHz sinusoidal length oscillations), another putative measure of bridge attachment, was 30% of its isometric value at Vmax. When small step length changes were applied to the preparation (such as used for construction of T1 curves), no equatorial intensity changes could be detected with our present time resolution (5 ms). Therefore, unlike the isometric situation, stiffness and equatorial signals obtained during ramp shortening are not in agreement. This may be a result of a changed crossbridge spatial orientation during shortening, a different average stiffness per attached crossbridge, or a higher proportion of single headed crossbridges during shortening.     

Force: velocity relationship in single isolated toad stomach smooth muscle cells

The relationship between force and shortening velocity (F:V) in muscle is believed to reflect both the mechanics of the myosin cross-bridge and the kinetics of its interaction with actin. To date, the F:V for smooth muscle cells has been inferred from F:V data obtained in multicellular tissue preparations. Therefore, to determine F:V in an intact single smooth muscle cell, cells were isolated from the toad (Bufo marinus) stomach muscularis and attached to a force transducer and length displacement device. Cells were electrically stimulated at 20 degrees C and generated 143 mN/mm2 of active force per muscle cross-sectional area. At the peak of contraction, cells were subjected to sudden changes in force (dF = 0.10-0.90 Fmax) and then maintained at the new force level. The force change resulted in a length response in which the cell length (Lcell) rapidly decreased during the force step and then decreased monotonically with a time constant between 75 and 600 ms. The initial length change that coincided with the force step was analyzed and an active cellular compliance of 1.9% cell length was estimated. The maintained force and resultant shortening velocity (V) were fitted to the Hill hyperbola with constants a/Fmax of 0.268 and b of 0.163 Lcell/s. Vmax was also determined by a procedure in which the cell length was slackened and the time of unloaded shortening was recorded (slack test). From the slack test, Vmax was estimated as 0.583 Lcell/s, in agreement with the F:V data. The F:V data were analyzed within the framework of the Huxley model (Huxley. 1957. Progress in Biophysics and Biophysical Chemistry. 7:255-318) for contraction and interpreted to indicate that in smooth muscle, as compared with fast striated muscle, there may exist a greater percentage of attached force-generating cross-bridges.     

Active and passive components in the length-dependent stiffness of tracheal smooth muscle during isotonic shortening.

Contraction of smooth muscle tissue involves interactions between active and passive structures within the cells and in the extracellular matrix. This study focused on a defined mechanical behavior (shortening-dependent stiffness) of canine tracheal smooth muscle tissues to evaluate active and passive contributions to tissue behavior. Two approaches were used. In one, mechanical measurements were made over a range of temperatures to identify those functions whose temperature sensitivity (Q(10)) identified them as either active or passive. Isotonic shortening velocity and rate of isometric force development had high Q(10) values (2.54 and 2.13, respectively); isometric stiffness showed Q(10) values near unity. The shape of the curve relating stiffness to isotonic shortening lengths was unchanged by temperature. In the other approach, muscle contractility was reduced by applying a sudden shortening step during the rise of isometric tension. Control contractions began with the muscle at the stepped length so that properties were measured over comparable length ranges. Under isometric conditions, redeveloped isometric force was reduced, but the ratio between force and stiffness did not change. Under isotonic conditions beginning during force redevelopment at the stepped length, initial shortening velocity and the extent of shortening were reduced, whereas the rate of relaxation was increased. The shape of the curve relating stiffness to isotonic shortening lengths was unchanged, despite the step-induced changes in muscle contractility. Both sets of findings were analyzed in the context of a quasi-structural model describing the shortening-dependent stiffness of lightly loaded tracheal muscle strips.     

Structural changes in smooth muscle cells during isotonic contraction

Summary Smooth muscle cells of the guinea-pig taenia coli were studied in light and electron microscopy, in condition of mild stretch or of isotonic contraction. During contraction the cells increase in transverse sectional area and their packing density passes from 94,000 · mm^-2 to 18,000 · mm^-2. The percentage increase in transverse sectional area of the taenia is approximately the same as the percentage decrease in length. Measurements of cell transverse sectional area suggest that the individual cells shorten and fatten more than the taenia as a whole. Whereas stretched muscle cells run parallel to each other and show a fairly smooth surface, isotonically contracted cells are twisted and entwine around each other. Their surfaces are covered with myriad processes and folds. Longitudinal, transverse or oblique stripes are seen in light microscopy in the contracted muscle cells and it is suggested that they are related to the characteristics of the cell surface. In electron microscopy a complex pattern of interdigitating finger-like and laminar processes is observed. Caveolae are mainly found on the evaginated parts of the cell surface, dense patches are mainly (but not always) found on the invaginated parts. Desmosome-like attachments between contracted cells are frequent. The collagen fibrils run approximately parallel to the stretched muscle cells; on the other hand, they run obliquely and transversely around the isotonically contracted cells.This work is supported by the Medical Research Council. I thank Miss E.M. Franke and Mr S.J. Sarsfield for excellent technical assistance     

Expression of smooth muscle myosin light chain 17 and unloaded shortening in single smooth muscle cells

These experiments were performed totest the hypotheses that myosin light chain 17 (MLC₁₇) aand b isoform expression varies between individual vascular smoothmuscle (SM) cells and that their expression correlates with cellunloaded shortening velocity. Single SM cells isolated from rabbitaorta and carotid arteries were used to measure unloaded shorteningvelocity and subsequently were analyzed via RT-PCR forMLC₁₇ a and b mRNA ratio. The MLC_17b/a mRNA andprotein ratios from adjacent tissue sections correlate very well(R² = 0.68), allowing use of the mRNA ratio topredict the protein ratio. The rabbit MLC₁₇ isoform proteinsequence was found to be similar to, but unique from, the swine, mouse,and chicken sequences. Isolated single SM cells from the aorta andcarotid have resting lengths of 70-280 µm and shorten to33-88 µm after contraction. Isolated cell maximum unloadedshortening velocity is highly variable (0.5-7.5 µm/s) butbecomes more uniform when normalized to initial cell length(0.01-0.05 cell lengths/s). Carotid cells activated in thepresence of okadaic acid (1 µm) have mean maximal unloaded shorteningvelocities not significantly different from carotid cells activatedwithout okadaic acid (0.016 vs. 0.019 cell lengths/s). Resting celllength before activation is significantly correlated with final celllength after unloaded shortening. Neither initial cell length, finalcell length, total cell length change, nor maximum unloaded shorteningvelocity (absolute or normalized) was significantly correlated withsingle-cell MLC_17b/a mRNA ratio. These studies wereperformed in isolated single SM cells where unloaded shorteningvelocity and MLC_17b/a mRNA ratios were measured in the samecell. In this preparation, the three-dimensional organization andmilieu of the cell is kept intact, but without the intercellularheterogeneity concerns of multicellular preparations. These resultssuggest the MLC_17b/a ratio is variable between individual SM cells from the same tissue, but it is not a determinant of unloadedshortening velocity in single SM cells.

     

Distribution of alpha-actinin in single isolated smooth muscle cells

In order to probe the organization of the contractile machinery in smooth muscle, we have studied the distribution of alpha-actinin, a protein present in high concentration in dense bodies, structures apparently analogous to the Z-disks of striated muscle. Localization of alpha-actinin in single isolated smooth muscle cells of the stomach muscularis of Bufo marinus was determined by analysis of the pattern of anti-alpha-actinin staining in single fluorescence photomicrographs, stereo pair micrographs, and computerized three-dimensional reconstructions from multiple image planes. The distribution of anti- alpha-actinin and antitubulin staining was compared in contracted and relaxed cells. The studies revealed that alpha-actinin is present in high concentrations in fusiform elements (mean axial ratio = 4.82) throughout the cytoplasm and in larger, more irregularly shaped plaques along the cell margins. Many of the fusiform-stained elements are organized into stringlike arrays characterized by a regular repeating pattern (mean center-to-center interspace = 2.2 +/- 0.1 micron). These linear arrays appear to terminate at the anti-alpha-actinin stained larger plaques along the cell margin; several of these strings often run in parallel with their elements in lateral register. While this general pattern of organization is maintained in cells during contraction, the distance between successive stained elements in stringlike arrays is decreased. We suggest that the decrease in the distance between elements in these strings results from shortening of materials that constitute these linear arrays. We do not believe that the shortening within these arrays reflects compression by forces generated elsewhere within the cell, as the reorganization of noncontractile microtubules is qualitatively different from the changes in the pattern of anti-alpha-actinin staining.     

Chronic stimulation modifies the isotonic shortening velocity of denervated rat slow-twitch muscle

Rat soleus muscles were denervated and stimulated in vivo for periods of up to 104 days. Stimuli used were trains of 1 ms pulses at 100 Hz delivered for periods of 1 s; trains were repeated every 10-100 s. In a majority of animals the tension of the muscles was maintained at about 10% of normal, equivalent to muscles denervated but unstimulated for 20 days. At the longest periods the stimulated muscles developed ten times more tension than ones that were denervated but not stimulated. In denervated and denervated-stimulated muscles twitch contraction and relaxation times were prolonged, compared with controls, for up to 3 weeks. Thereafter both sets showed a speeding of the isometric twitch that was greater in the stimulated muscles. At the longest periods the twitch was as short as that of a denervated fast muscle. Stimulation did not affect contralateral denervated muscles. Twitch: tetanus ratios remained high despite stimulation, and muscles showed little post-tetanic potentiation. Tension developed more rapidly in the tetani of the stimulated muscles, even allowing for larger final values. Maximum velocity of shortening was increased in many of the stimulated muscles, and there was a proportional flattening of the force-velocity curve, i.e. a/P0 increased. Maximum velocity and a/P0 increased reciprocally with twitch time to peak, so that those muscles that had twitches most changed by stimulation also had their isotonic properties modified to the greatest extent. Even at the longest period of stimulation, twitch time course and tetanic tension were not converted to those of normal fast muscle.     

Phenomenological models of the dynamics of muscle during isotonic shortening

We investigated the effectiveness of simple, Hill-type, phenomenological models of the force-length-velocity relationship for simulating measured length trajectories during muscle shortening, and, if so, what forms of the model are most useful. Using isotonic shortening data from mouse soleus and toad depressor mandibulae muscles, we showed that Hill-type models can indeed simulate the shortening trajectories with sufficiently good accuracy. However, we found that the standard form of the Hill-type muscle model, called the force-scaling model, is not a satisfactory choice. Instead, the results support the use of less frequently used models, the f-max scaling model and force-scaling with parallel spring, to simulate the shortening dynamics of muscle.     

A method for isolating adult and neonatal airway smooth muscle cells and measuring shortening velocity

Methods are described for isolating smooth muscle cells from thetracheae of adult and neonatal sheep and measuring the single-cell shortening velocity. Isolated cells were elongated,Ca²⁺ tolerant, and contractedrapidly and substantially when exposed to cholinergic agonists, KCl,serotonin, or caffeine. Adult cells were longer and widerthan preterm cells. Mean cell length in 1.6 mMCaCl₂ was 194 ± 57 (SD) µm(n = 66) for adult cells and 93 ± 32 µm (n = 20) for preterm cells(P < 0.05). Mean cell width at thewidest point of the adult cells was 8.2 ± 1.8 µm(n = 66) and 5.2 ± 1.5 µm(n = 20) for preterm cells(P < 0.05). Cells were loaded into aperfusion dish maintained at 35°C and exposed to agonists, andcontractions were videotaped. Cell lengths were measured from 30 videoframes and plotted as a function of time. Nonlinear fitting of celllength to an exponential model gave shortening velocities faster thanmost of those reported for airway smooth muscle tissues. For a sampleof 10 adult and 10 preterm cells stimulated with 100 µM carbachol,mean (± SD) shortening velocity of the preterm cells was notdifferent from that of the adult cells (0.64 ± 0.30 vs. 0.54 ± 0.27 s¹, respectively), butpreterm cells shortened more than adult cells (68 ± 12 vs. 55 ± 11% of starting length, respectively;P < 0.05). The preparative andanalytic methods described here are widely applicable to other smoothmuscles and will allow contraction to be studied quantitatively at thesingle-cell level.

     

Time course of isotonic shortening and the underlying contraction mechanism in airway smooth muscle

Although the structure of the contractile unit in smooth muscle is poorly understood, some of the mechanical properties of the muscle suggest that a sliding-filament mechanism, similar to that in striated muscle, is also operative in smooth muscle. To test the applicability of this mechanism to smooth muscle function, we have constructed a mathematical model based on a hypothetical structure of the smooth muscle contractile unit: a side-polar myosin filament sandwiched by actin filaments, each attached to the equivalent of a Z disk. Model prediction of isotonic shortening as a function of time was compared with data from experiments using ovine tracheal smooth muscle. After equilibration and establishment of in situ length, the muscle was stimulated with ACh (100 μM) until force reached a plateau. The muscle was then allowed to shorten isotonically against various loads. From the experimental records, length-force and force-velocity relationships were obtained. Integration of the hyperbolic force-velocity relationship and the linear length-force relationship yielded an exponential function that approximated the time course of isotonic shortening generated by the modeled sliding-filament mechanism. However, to obtain an accurate fit, it was necessary to incorporate a viscoelastic element in series with the sliding-filament mechanism. The results suggest that a large portion of the shortening is due to filament sliding associated with muscle activation and that a small portion is due to continued deformation associated with an element that shows viscoelastic or power-law creep after a step change in force.