Thin filament elasticity and its role in the muscle contraction

The available experimental methods do not allow one to establish unambiguously the molecular structural events during muscle contraction. To resolve the existing controversies, I have devised an unconventional original computer program. The new approach allows the reconstruction of the hexagonal lattice of the sarcomere for different muscle states and verification of the structure by comparison of the calculated Fourier spectra with the real diffraction patterns. Previously, by the use of this approach, the real structure of a myosin filament from vertebrate striated muscle has been reconstructed (http://zope.ibib.waw.pl/pspk). In this work, a reconstruction for the thin filament is presented for three states: relaxed, after activation, and during contraction. Good consistency of the calculated Fourier spectra with the real diffraction patterns available in the literature suggests that the thin filament, due to flexibility, plays an active part in muscle contraction, as myosin cross-bridges do.     

Regulation of smooth muscle actin expression and contraction in adult human mesenchymal stem cells

Prior studies have demonstrated the expression of a contractile actin isoform, alpha-smooth muscle actin, in bone marrow stromal cells. One objective of the current study was to correlate contractility with alpha-smooth muscle actin expression in human bone marrow stroma-derived mesenchymal stem cells. A second objective was to determine the effects of transforming growth factor-beta1, platelet derived growth factor-BB, and a microfilament-modifying agent on alpha-smooth muscle actin expression and alpha-smooth muscle actin-enabled contraction. Adult human bone marrow stromal cells were passaged in monolayer and their inducibility to chondrocytic, osteoblastic, and adipogenic phenotypes was demonstrated. Western blot analysis was employed along with densitometry to quantify the alpha-smooth muscle actin content of the cells and their contractility was evaluated by their contraction of a type I collagen-glycosaminoglycan sponge-like matrix into which they were seeded. Transforming growth factor-beta1 (1 ng/ml) significantly increased and platelet-derived growth factor-BB (10 ng/ml) decreased alpha-smooth muscle actin expression and the contractility of the cells. Cytochalasin D also blocked cell contraction. There was a notably high correlation of cell-mediated contraction normalized to the DNA content of the matrices with alpha-smooth muscle actin content of the cells by linear regression analysis (R(2) = 0.88). These findings lay the groundwork for considering the role of alpha-smooth muscle actin-enabled contraction in mesenchymal stem cells and in their connective tissue cell progeny.     

Models in which many cross-bridges attach simultaneously can explain the filament movement per ATP split during muscle contraction

Contractile filaments in skeletal muscle are moved by less than 2 nm for each ATP used. If just one cross-bridge is attached to each thin filament at any instant then this distance represents the fundamental myosin cross-bridge step size (i.e. the distance one cross-bridge moves a thin filament in one ATP-splitting cycle). However, most contraction models assume many cross-bridges are attached at any instant along each thin filament. The purpose of this study was to establish whether the net filament sliding per ATP used could be explained quantitatively in terms of a cross-bridge model in which multiple cross-bridges are attached along each thin filament. It was found that the relationship between net filament sliding per ATP split and the load against which the muscle shortens is compatible with such a model and furthermore predicts that the cross-bridge step size is between 7.5 and 12.5 nm over most of the range of loads. These values were similar for different muscle fibre types.     

The interaction of tropomodulin with tropomyosin stabilizes thin filaments in cardiac myocytes

Actin (thin) filament length regulation and stability are essential for striated muscle function. To determine the role of the actin filament pointed end capping protein, tropomodulin1 (Tmod1), with tropomyosin, we generated monoclonal antibodies (mAb17 and mAb8) against Tmod1 that specifically disrupted its interaction with tropomyosin in vitro. Microinjection of mAb17 or mAb8 into chick cardiac myocytes caused a dramatic loss of the thin filaments, as revealed by immunofluorescence deconvolution microscopy. Real-time imaging of live myocytes expressing green fluorescent protein-alpha-tropomyosin and microinjected with mAb17 revealed that the thin filaments depolymerized from their pointed ends. In a thin filament reconstitution assay, stabilization of the filaments before the addition of mAb17 prevented the loss of thin filaments. These studies indicate that the interaction of Tmod1 with tropomyosin is critical for thin filament stability. These data, together with previous studies, indicate that Tmod1 is a multifunctional protein: its actin filament capping activity prevents thin filament elongation, whereas its interaction with tropomyosin prevents thin filament depolymerization.     

Thin filament proteins and thin filament-linked regulation of vertebrate muscle contraction

Recent developments in the field of myofibrillar proteins will be reviewed. Consideration will be given to the proteins that participate in the contractile process itself as well as to those involved in Ca-dependent regulation of striated (skeletal and cardiac) and smooth muscle. The relation of protein structure to function will be emphasized and the relation of various physiologically and histochemically defined fiber types to the proteins found in them will be discussed.     

A four-state cross bridge model for muscle contraction. Mathematical study and validation

A mathematical model of contracting skeletal muscle is studied. The model is composed by an elastic element (SE) in series with a contractile element (CE) that describes the cross bridge kinetics with a formulation derived by that proposed by Eisenberg and Hill (1978). An analytical study of the system of nonlinear partial differential equations of the model allows the existence and the uniqueness of the solution to be proved. A suitable approach to the numerical solution is defined and a series of numerical tests are performed. These tests lead to select an appropriate set of parameters and allow to compare model predictions and experimental observations on frog skeletal muscle. Work partially supported by M.P.I., by CNR through I.A.N. of Pavia and by HUSPI Project     

Heterogeneity of Z-band structure within a single muscle sarcomere: implications for sarcomere assembly

The vertebrate striated muscle Z-band connects actin filaments of opposite polarity from adjacent sarcomeres and allows tension to be transmitted along a myofibril during contraction. Z-bands in different muscles have a modular structure formed by layers of alpha-actinin molecules cross-linking actin filaments. Successive layers occur at 19 nm intervals and have 90 degrees rotations between them. 3D reconstruction from electron micrographs show a two-layer "simple" Z-band in fish body fast muscle, a three-layer Z-band in fish fin fast muscle, and a six-layer Z-band in mammalian slow muscle. Related to the number of these layers, longitudinal sections of the Z-band show a number of zigzag connections between the oppositely oriented actin filaments. The number of layers also determines the axial width of the Z-band, which is a useful indicator of fibre type; fast fibres have narrow (approximately 30-50 nm) Z-bands; slow and cardiac fibres have wide (approximately 100-140 nm) Z-bands. Here, we report the first observation of two different Z-band widths within a single sarcomere. By comparison with previous studies, the narrower Z-band comprises three layers. Since the increase in width of the wider Z-band is about 19 nm, we conclude that it comprises four layers. This finding is consistent with a Z-band assembly model involving molecular control mechanisms that can add additional layers of 19 nm periodicity. These multiple Z-band structures suggest that different isoforms of nebulin and titin with a variable number of Z-repeats could be present within a single sarcomere.     

An assessment of the models of thin filament of the sarcomere using small-angle X-ray data on rabbit relaxed muscle

Models of a thin filament based on various G-actin atomic structures and modes of their packing into helical structures were considered. The calculated intensities of actin layer lines were compared with the X-ray data for thin fiber bundles of a relaxed rabbit skeletal muscle. The effect of the main components of thin filament on the intensity of actin layer lines was also analyzed. The F-actin PDB 3BYH model gave the best fit to the experimental data.     

Calcium efflux during the cold-induced contraction of mammalian striated muscle fibres

The efflux of ⁴⁵Ca from mammalian slow twitch muscle fibres has been studied to provide a measure of the concentration of free Ca²⁺ in the sarcoplasm. The kinetically complex early phases of washout of the isotope are succeeded by a prolonged slower phase which exhibits first-order kinetics. This later phase is accelerated by caffeine, by preventing oxidative phosphorylation and also during an isometric contraction, whether this contraction is produced by lowering the temperature or by electrical stimulation. The local anaesthetic tetracaine abolishes the contraction caused by cold and in this case the rate constant for efflux is progressively lowered as the temperature is reduced (Q₁₀ value of 2.3). The removal of external Na⁺ and Ca²⁺ reduces the efflux rate constant. Caffeine, sodium removal and the inhibition of oxidative phosphorylation, all potentiate the cold contraction and the associated extra ⁴⁵Ca efflux. Ca removal causes the cold contraction to become phasic. It appears that caffeine, sodium removal, the inhibition of oxidative phosphorylation and a decrease in temperature to below 10°C are all treatments which, like electrical stimulation, increase the sarcoplasmic free calcium concentration to varying degrees.     

The influence of amino-reactive substances on contraction threshold of frog skeletal muscle

Summary The action of the amino-reactive substances pyridoxal phosphate, 4-acetamido-4-isothiocyanato-stilbene-2,2-disulfonic acid and 2,4,6-trinitrobenzene sulfonic acid on the contraction threshold, taken as parameter for the initiation of contraction, was investigated in fibers of the sartorius muscle of the frog. The contraction threshold was shifted by 1 to 11 mV tomore negative potentials with 1 to 20mm PDP. Similar shifts from 2 to 17 mV were produced by 0.66 to 20mm SITS. The threshold shift was only partially reversible. The shift of the contraction threshold obtained with 2mm SITS was nearly constant at different [Ca²⁺]_o and [Mg²⁺]_o from 1.5 to 50mm with a tendency to increase at higher divalent cation concentration. TNBS had no effect on the contraction threshold.The action of PDP and SITS on the contraction threshold was successfully described by the surface charge model used earlier to explain the effect of lanthanum, neuraminidase and ruthenium red on the contraction threshold (M. Dörrscheidt-Käfer,Pfluegers Arch. 380:171–179, 181–187, 1979;J. Membrane Biol. 62:95–103, 1981). Here it was assumed that PDP and SITS bind to positive fixed charges on the surface of the T-tubular wall. This results in a shift of the calculated surface potential to more negative values which is thought to account for the measured shift of the contraction threshold.     

The mobility of troponin C and troponin I in muscle

In vertebrate skeletal muscle, contraction is initiated by the elevation of the intracellular Ca²⁺ concentration. The binding of Ca²⁺ to TnC induces a series of conformational changes which ultimately release the inhibition of the actomyosin ATPase activity by Tnl. In this study we have characterized the dynamic behavior of TnC and Tnl in solution, as well as in reconstituted fibers, using EPR and ST-EPR spectroscopy. Cys98 of TnC and Cys133 of Tnl were specifically labeled with malemide spin label (MSL) and indane dione nitroxide spin label (InVSL). In solution, the labeled TnC and Tnl exhibited fast nanosecond motion. MSL-TnC is sensitive to cation binding to the high affinity sites (τ_r increases from 1.5 to 3.7 ns), InVSL-TnC s sensitive to the replacement of Mg²⁺ by Ca²⁺ at these sites (τ_r increase from 1.7 to 6 ns). Upon reconstitution into fibers, the nanosecond mobility is reduced by interactions with other proteins. TnC and Tnl both exhibited microsecond anisotropic motion in fibers similar to that of the actin monomers within the filament. The microsecond motion of TnC was found to be modulated by the binding of Ca²⁺ and by cross-bridge attachment, but this was not the case for the global mobility of Tnl. © 1997 John Wiley & Sons, Ltd.     

Tetanic contraction induces enhancement of fatigability and sarcomeric damage in atrophic skeletal muscle and its underlying molecular mechanisms

Muscle unloading due to long-term exposure of weightlessness or simulated weightlessness causes atrophy, loss of functional capacity, impaired locomotor coordination, and decreased resistance to fatigue in the antigravity muscles of the lower limbs. Besides reducing astronauts＇ mobility in space and on returning to a gravity environment, the molecular mechanisms for the adaptation of skeletal muscle to unloading also play an important medical role in conditions such as disuse and paralysis. The tail-suspended rat model was used to simulate the effects of weightlessness on skeletal muscles and to induce muscle unloading in the rat hindlimb. Our series studies have shown that the maximum of twitch tension and the twitch duration decreased significantly in the atrophic soleus muscles, the maximal tension of high-frequency tetanic contraction was significantly reduced in 2-week unloaded soleus muscles, however, the fatigability of high- frequency tetanic contraction increased after one week of unloading. The maximal isometric tension of intermittent tetanic contraction at optimal stimulating frequency did not alter in 1- and 2-week unloaded soleus, but significantly decreased in 4-week unloaded soleus. The 1-week unloaded soleus, but not extensor digitorum Iongus （EDL）, was more susceptible to fatigue during intermittent tetanic contraction than the synchronous controls. The changes in K＋ channel characteristics may increase the fatigability during high-frequency tetanic contraction in atrophic soleus muscles. High fatigability of intermittent tetanic contraction may be involved in enhanced activity of sarcoplasmic reticulum Ca2＋-ATPase （SERCA） and switching from slow to fast isoform of myosin heavy chain, tropomyosin, troponin I and T subunit in atrophic soleus muscles. Unloaded soleus muscle also showed a decreased protein level of neuronal nitric oxide synthase （nNOS）, and the reduction in nNOS-derived NO increased frequency of calcium sparks and elevated intracellular resting Ca2＋ concentration （[Ca2＋]i） in unloaded soleus muscles. High [Ca2＋]i activated calpain-1 which induced a higher degradation of desmin. Desmin degradation may loose connections between adjacent myofibrils and further misaligned Z-disc during repeated tetanic contractions. Passive stretch in unloaded muscle could preserve the stability of sarcoplasmic reticulum Ca2＋ release channels by means of keeping nNOS activity, and decrease the enhanced protein level and activity of calpain to control levels in unloaded soleus muscles. Therefore, passive stretch restored normal appearance of Z-disc and resisted in part atrophy of unloaded soleus muscles. The above results indicate that enhanced fatigability of high-frequency tetanic contraction is associated to the alteration in K＋ channel characteristics, and elevated SERCA activity and slow to fast transition of myosin heavy chain （MHC） isoforms increases fatigability of intermittent tetanic contraction in atrophic soleus muscle. The sarcomeric damage induced by tetanic contraction can be retarded by stretch in atrophic soleus muscles.     

Professor Ebashi's impact on the study of the regulation of striated muscle contraction

The field of striated muscle regulation has changed tremendously over the last forty years. Many of the problems solved by Dr. Ebashi and by those stimulated by him offer new challenges for future generations of scientists. Many questions remain to be solved, and it should give particular pleasure to Dr. Ebashi to see how the seeds sown by him and his colleagues have now grown into a beautiful tree that bears rich fruit at present and will continue to do so for a long time in the future.     

A theory on auto-oscillation and contraction in striated muscle

It is widely accepted that muscle cells take either force-generating or relaxing state in an all-or-none fashion through the so-called excitation–contraction coupling. On the other hand, the membrane-less contractile apparatus takes the third state, i.e., the auto-oscillation (SPOC) state, at the activation level that is intermediate between full activation and relaxation. Here, to explain the dynamics of all three states of muscle, we construct a novel theoretical model based on the balance of forces not only parallel but also perpendicular to the long axis of myofibrils, taking into account the experimental fact that the spacing of myofilament lattice changes with sarcomere length and upon contraction. This theory presents a phase diagram composed of several states of the contractile apparatus and explains the dynamic behavior of SPOC, e.g., periodical changes in sarcomere length with the saw-tooth waveform. The appropriate selection of the constant of the molecular friction due to the cross-bridge formation can explain the difference in the SPOC periods observed under various activating conditions and in different muscle types, i.e., skeletal and cardiac. The theory also predicts the existence of a weak oscillation state at the boundary between SPOC and relaxation regions in the phase diagram. Thus, the present theory comprehensively explains the characteristics of auto-oscillation and contraction in the contractile system of striated muscle.     

Effect of deuterium oxide on contraction characteristics and ATPase activity in glycerinated single rabbit skeletal muscle fibers

We studied the effect of deuterium oxide (D₂O) on contraction characteristics and ATPase activity of single glycerinated muscle fibers of rabbit psoas. D₂O increased the maximum isometric force P₀ by about 20%, while the force versus stiffness relation did not change appreciably. The maximum shortening velocity under zero load V_max did not change appreciably in D₂O, so that the force-velocity (P-V) curve was scaled depending on the value of P₀. The Mg-ATPase activity of the fibers during generation of steady isometric force P₀ was reduced by about 50% in D₂O. Based on the Huxley contraction model, these results can be accounted for in terms of D₂O-induced changes in the rate constants f₁ and g₁ for making and breaking actin-myosin linkages in the isometric condition, in such a way that f₁/(f₁+g₁) increases by about 20%, while (f₁+g₁) remains unchanged. The D₂O effect at the molecular level is discussed in connection with biochemical studies on actomyosin ATPase.     

Myosin filament sliding through the Z-disc relates striated muscle fibre structure to function

Striated muscle contraction requires intricate interactions of microstructures. The classic textbook assumption that myosin filaments are compressed at the meshed Z-disc during striated muscle fibre contraction conflicts with experimental evidence. For example, myosin filaments are too stiff to be compressed sufficiently by the muscular force, and, unlike compressed springs, the muscle fibres do not restore their resting length after contractions to short lengths. Further, the dependence of a fibre''s maximum contraction velocity on sarcomere length is unexplained to date. In this paper, we present a structurally consistent model of sarcomere contraction that reconciles these findings with the well-accepted sliding filament and crossbridge theories. The few required model parameters are taken from the literature or obtained from reasoning based on structural arguments. In our model, the transition from hexagonal to tetragonal actin filament arrangement near the Z-disc together with a thoughtful titin arrangement enables myosin filament sliding through the Z-disc. This sliding leads to swivelled crossbridges in the adjacent half-sarcomere that dampen contraction. With no fitting of parameters required, the model predicts straightforwardly the fibre''s entire force–length behaviour and the dependence of the maximum contraction velocity on sarcomere length. Our model enables a structurally and functionally consistent view of the contractile machinery of the striated fibre with possible implications for muscle diseases and evolution.     

Assessment of the mechanical activity of cardiac isomyosins V1 and V3 by the in vitro motility assay with regulated thin filament

The dependences of thin filament sliding velocity on the calcium concentration in solution (pCa 5 to 8) for rabbit cardiac myosin isoforms V1 and V3 were determined in a set of experiments using an in vitro motility assay with a reconstructed thin filament. The constructed pCa-versus-velocity curves had a sigmoid shape. It was demonstrated that the sliding velocity of regulated thin filament at the saturating calcium concentration (pCa 5) did not differ from the actin sliding velocity for each isoform. The determined values of Hill’s cooperativity coefficient for isomyosins V1 and V3 were 1.04 and 0.75, respectively. It was demonstrated that isomyosin V3 was more sensitive to calcium as compared with isomyosin V1. Using the same assay, the dependence of thin filament sliding velocity on the concentration of the actin-binding protein α-actinin (analog of a force-velocity dependence) was determined at the saturating calcium concentration for each myosin isoform (V1 and V3). The results suggest that the calcium regulation of V1 and V3 contractile activity follows different mechanisms.     

N-Terminal Domains of Cardiac Myosin Binding Protein C Cooperatively Activate the Thin Filament

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