Tendon elasticity and muscle function

Vertebrate animals exploit the elastic properties of their tendons in several different ways. Firstly, metabolic energy can be saved in locomotion if tendons stretch and then recoil, storing and returning elastic strain energy, as the animal loses and regains kinetic energy. Leg tendons save energy in this way when birds and mammals run, and an aponeurosis in the back is also important in galloping mammals. Tendons may have similar energy-saving roles in other modes of locomotion, for example in cetacean swimming. Secondly, tendons can recoil elastically much faster than muscles can shorten, enabling animals to jump further than they otherwise could. Thirdly, tendon elasticity affects the control of muscles, enhancing force control at the expense of position control.     

Cross-bridge elasticity in single smooth muscle cells

In smooth muscle, a cross-bridge mechanism is believed to be responsible for active force generation and fiber shortening. In the present studies, the viscoelastic and kinetic properties of the cross-bridge were probed by eliciting tension transients in response to small, rapid, step length changes (delta L = 0.3-1.0% Lcell in 2 ms). Tension transients were obtained in a single smooth muscle cell isolated from the toad (Bufo marinus) stomach muscularis, which was tied between a force transducer and a displacement device. To record the transients, which were of extremely small magnitude (0.1 microN), a high-frequency (400 Hz), ultrasensitive force transducer (18 mV/microN) was designed and built. The transients obtained during maximal force generation (Fmax = 2.26 microN) were characterized by a linear elastic response (Emax = 1.26 X 10(4) mN/mm2) coincident with the length step, which was followed by a biphasic tension recovery made up of two exponentials (tau fast = 5-20 ms, tau slow = 50-300 ms). During the development of force upon activation, transients were elicited. The relationship between stiffness and force was linear, which suggests that the transients originate within the cross-bridge and reflect the cross-bridge's viscoelastic and kinetic properties. The observed fiber elasticity suggests that the smooth muscle cross-bridge is considerably more compliant than in fast striated muscle. A thermodynamic model is presented that allows for an analysis of the factors contributing to the increased compliance of the smooth muscle cross-bridge.     

A generalization of hooke's law in muscle elasticity

Experimental data concerning stress-strain relations of biological substances, including single muscle fibers, are reviewed in the literature. A reconsideration of the conclusions reached from these data is made. Thus, the experiments indicate that prima facie a linear theory of elasticity such as Hooke's law does not obtain because of the complicated form of the stress-strain curves. It is then shown that from a consideration oftrue stress at a point, where true stress is the force per unitactual area at the point, Hooke's law may be so generalized as to predict qualitatively and semi-quantitatively the complicated experimental curves. This complication arises from the long range “elasticity” of biological substances in general and muscle fibers in particular. Thus, substitutingtrue stress for stress, the stress-strain relation of muscle fibers remains linear. In the case of “small” strains, the true stress reduces to the usual stress concept in which the force is considered per unitinitial area at the point.     

Improved resolution of tertiary structure elasticity in muscle protein

Rearrangement of tertiary structure in response to mechanical force (termed tertiary structure elasticity) in the tandem Ig chain is the first mode of elastic response for muscle protein titin. Tertiary structure elasticity occurs at low stretching forces (few tens of pN), and was described at atomic resolution in a recent molecular dynamics study, in which an originally crescent-shaped six-Ig chain was stretched into a linear chain. However, the force-extension profile that resulted from this explicit solvent simulation was dominated by the hydrodynamic drag force, and effects of tertiary structure elasticity only manifested for stretching forces above 20 pN. Here we report a slow pulling 100-ns simulation (along with other auxiliary simulations), in which hydrodynamic drag force is seen to reduce to near 0 pN, such that tertiary structure elasticity could be characterized over a 0–200 pN range. Statistical mechanical analysis showed that the stretching velocity was sufficiently low such that the protein remained significantly relaxed during the major part of its extension.     

Time dependence of series elasticity in tracheal smooth muscle

The stress-strain curve for the series elastic component (SEC) of tracheal smooth muscle was obtained by quick releasing the muscle from isometric tension to various afterloads and measuring the elastic recoils (SEC lengths) at a specific time after stimulation. A family of such curves was obtained by releasing the muscle at different points in time during contraction. Stiffnesses of the SEC (slopes of the stress-strain curves) at a specific stress level calculated from these curves (constant-stress stiffness) showed significant difference from one another. The same difference can also be characterized by the slope of the linear stiffness-stress curve, the constant A. The constant A during a 10-s isometric contraction was maximal at 2 s. It then decreased with time. This stiffness behavior is only seen when the effect of stress is held constant or eliminated. If stress is allowed to increase with time as it does during a tetanus then stiffness appears to increase monotonically. The SEC stiffness during active contraction was found to vary within the boundaries of the stiffness of muscle in rigor (upper limit) and that at resting state (lower limit).     

Entropic elasticity in the generation of muscle force--a theoretical model

A novel simplified structural model of sarcomeric force production in striate muscle is presented. Using some simple assumptions regarding the distribution of myosin spring lengths at different sliding velocities it is possible to derive a very simple expression showing the main components of the experimentally observed force-velocity relationship of muscle: nonlinearity during contraction (Hill, 1938), maximal force production during stretching equal to two times the isometric force (Katz, 1939), yielding at high stretching velocity, slightly concave force-extension relationship during sudden length changes (Ford et al., 1977; Lombardi & Piazzesi, 1990), accurate reproduction of the rate of ATP consumption (Shirakawa et al., 2000; He et al., 2000) and of the extra energy liberation rate (Hill, 1964a). Different assumptions regarding the force-length relationship of individual cross-bridges are explored [linear, power function and worm-like chain (WLC) model based], and it is shown that the best results are obtained if the individual myosin-spring forces are modelled using a WLC model, thus hinting that entropic elasticity could be the main source of force in myosin undergoing the conformational changes associated with the power stroke.     

Utilization of glucose during exercise in relation of meal-timing

The effect of glucose administration was studied on its utilization during exercise carried out in the hours 500-700, 1100-1300, 1700-1900, 2300-100. The control group comprised animals at rest which had one or two glucose loads. Circadian variability of blood glucose level was observed in response to glycaemic stimulation in control animals. In the animals during exercise the circadian changes of glucose level depended on the time after glucose administration and the duration of exercise. Glucose utilization during exercise was not identical at various times of the 24-hour period. The greatest fall of blood glucose was observed at 1800 after one as well as after two glucose loads. Glucose administration after one hour of exercise prevented hypoglycaemia development.     

Electromechanical response times and muscle elasticity in men and women

The purpose of this study was to compare the delay in performance attributable to muscle elasticity in men and women. A group of 11 active young men age (mean, SE) 21.9, 0.7 years, stature 1.780, 0.020 m, body mass 76.4, 3.2 kg and 11 women age 20.9, 0.4 years, stature 1.670, 0.020 m and body mass 61.9, 2.6 kg provided written informed consent and were recruited to the study. In response to an acoustic signal delivered via headphones, the subjects performed a plantar flexion movement of the preferred leg as quickly as possible. A seated position ensured that the knee of the subject was flexed at a right angle and that the shank was vertical. The ball of the foot was on a force platform which was used detect the onset of muscle tension and the heel rested on a pressure pad which was used to identify movement. Surface electrodes sensed electromyographic activity (EMG) in the soleus muscle. Force platform output was captured by a digital storage oscilloscope and recorded via a y-t pen recorder or subsequent analysis. A separate timer was used to determine total reaction time (TRT). Premotor time (EMGT) was taken to be the time interval from the delivery of the signal to change in EMG. Electromechanical delay (EMD) was the time interval between the change in EMG and movement and was subdivided into force time (FT) i.e. the time interval between EMG and the onset of muscle tension and elastic charge time (CT) i.e. the time interval between the onset of muscle tension and movement. The subjects performed ten trials and in most cases the mean of ten readings was used to determine TRT, EMGT, EMD, FT and CT.(ABSTRACT TRUNCATED AT 250 WORDS)     

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.     

Series elasticity in frog sartorius muscle during release and stretch

When a stretch is applied to an isolated muscle during tetanic stimulation, the force developed is higher than the maximal isometric tension (Po). This force puts the series elastic component (SEC) under tension and in a domain which is not well defined in terms of tension-extension curve. In the present work, an attempt was made to determine the stiffness of the SEC for tensions greater than Po, using the sartorius muscle of the frog. For this purpose, rapid releases and stretches of different amplitudes were given during maximal isometric contractions. Plotting normalized tension (P/Po) against normalized length changes (negative or positive extensions, delta L/Lo.10(2] produced a tension-extension curve. The slopes of the linear part of each relationship on both sides of Po indicated an increase in SEC stiffness when the muscle was rapidly stretched. Furthermore, the transient character of the increase in stiffness was studied by measuring SEC stiffness during rapid releases applied at various time intervals after stretches: the muscle was found to be stiffer as the time interval was shorter. The results are discussed in terms of (i) non-linear behaviour of the passive and active parts of the SEC, (ii) enhancement of storage and release of potential energy.     

Series elasticity in frog sartorius muscle subjected to stretch-shortening cycles

Changes in stiffness during stretch-shortening cycles were studied by applying prestretches of different rates and amplitudes on the tetanized sartorius muscle of the frog and measuring series elastic component characteristics during a subsequent quick release. Series elastic component stiffness was found to be dependent on the mechanical parameters of the stretching phase, and the so-called 'Cavagna effect' (increase in compliance) was rarely observed. The results are discussed in terms of improvement in muscle efficiency. Thus, an increase in stiffness during force generation will favour a better transmission of force and will reduce the coupling time whereas the opposite evolution during SEC recoil will allow a better release of potential energy.     

Stretch activation and nonlinear elasticity of muscle cross-bridges.

When active insect fibrillar flight muscle is stretched, its ATPase rate increases and it develops "negative viscosity," which allows it to perform oscillatory work. We use a six-state model for the cross-bridge cycle to show that such "stretch activation" may arise naturally as a nonlinear property of a cross-bridge interacting with a single attachment site on a thin filament. Attachment is treated as a thermally activated process in which elastic energy must be supplied to stretch or compress the cross-bridge spring. We find that stretch activation occurs at filament displacements where, before the power stroke, the spring is initially in compression rather than in tension. In that case, pulling the filaments relieves the initial compression and reduces the elastic energy required for attachment. The result is that the attachment rate is enhanced by stretching. The model also displays the "delayed tension" effect observed in length-step experiments. When the muscle is stretched suddenly, the power stroke responds very quickly, but there is a time lag before dissociation at the end of the cycle catches up with the increased attachment rate. This lag is responsible for the delayed tension and hence also for the negative viscosity.     

Contribution of muscle series elasticity to maximum performance in drop jumping

The contribution of muscle in-series compliance on maximum performance of the muscle tendon complex was investigated using a forward dynamic computer simulation. The model of the human body contains 8 Hill-type muscles of the lower extremities. Muscle activation is optimized as a function of time, so that maximum drop jump height is achieved by the model. It is shown that the muscle series elastic energy stored in the downward phase provides a considerable contribution (32%) to the total muscle energy in the push-off phase. Furthermore, by the return of stored elastic energy all muscle contractile elements can reduce their shortening velocity up to 63% during push-off to develop a higher force due to their force velocity properties. The additional stretch taken up by the muscle series elastic element allows only m. rectus femoris to work closer to its optimal length, due to its force length properties. Therefore the contribution of the series elastic element to muscle performance in maximum height drop jumping is to store and return energy, and at the same time to increase the force producing ability of the contractile elements during push-off.     

Glucocorticoid receptor activation during exercise in muscle

This investigation was undertaken to evaluate whether endurance running of the type known to retard the muscle atrophy associated with glucocorticoid excess inhibits activation of glucocorticoid-receptor complexes to a DNA binding state. Female adrenalectomized rats received an injection (50 microCi/100 g body wt ip) of [3H]triamcinolone acetonide and remained sedentary or were immediately exercised by endurance running at 23 m/min for up to 90 min. Receptor activation, as quantified by binding to DNA-cellulose, steadily increased from 10-20% of the receptors capable of binding DNA in uninjected controls to 25-45% by 5 min and to 53-80% by 90 min after receiving the hormone in all muscles studied (fast-twitch red vastus lateralis, fast-twitch white vastus lateralis, slow-twitch soleus, mixed gastrocnemius, and heart). Exercise did not influence the time-course changes in percent activation. When activation was determined from changes in the conformational state of the receptor as measured by diethylaminoethyl-cellulose anion exchange chromatography, there was a similar time-dependent formation of activated receptor forms in all muscle types. However, exercise did not inhibit or delay the appearance of the activated receptor from the unactivated state. These results indicate that glucocorticoid receptor activation occurs at a rate that is independent of both fiber type and delivery of steroid to working muscles during exercise. If exercise alters receptor activation, a longer time period, beyond 90 min of running, or even additional training may be needed for inhibition to be expressed.     

Glycogenesis in muscle and liver during exercise

We hypothesized that glycogenesis increases in muscle during exercise before significant glycogen depletion occurs. Therefore, rats ran for 15 or 90 min at speeds of 8-22 m/min. D-[5-3H]glucose (10 microCi/100 g body wt) was administered 10 min before the end of exercise. Hindlimb muscles [soleus (SOL), plantaris (PL), extensor digitorum longus (EDL), and red (RG) and white gastrocnemius (WG)] and a portion of liver were analyzed for glycogen concentrations and rates of glycogen synthesis (i.e., D-[3H]glucose incorporated into glycogen). At rest, marked differences were observed among muscles in their rates of glucose incorporation into glycogen: i.e., SOL = 24.3 +/- 3.1, RG = 5.4 +/- 1.9, PL = 2.8 +/- 1.1, EDL = 0.54 +/- 0.10, WG = 0.12 +/- 0.02 (SE) dpm.micrograms glycogen-1.10 min-1 (P less than 0.05 between respective muscles). Compared with the glucose incorporation into glycogen at rest, increments in the PL (272%), RG (189%), WG (400%), EDL (274%), and liver (175%) were observed after 90 min of exercise (P less than 0.05, all data). In contrast, a decrease in glucose incorporation into glycogen (-62%) occurred in the SOL at min 15 (P less than 0.05), but this returned to the rates observed at rest after 90 min of exercise. This measure for rates of net glycogen synthesis (dpm.microgram glycogen-1.10 min-1) was weakly related to the ambient glycogen levels in most muscles; the exception was the SOL (r = -0.79; P less than 0.05). There was up to a 50-fold difference in glycogen synthesis among muscles.(ABSTRACT TRUNCATED AT 250 WORDS)     

Changes in muscle oxygenation during weight-lifting exercise

The quantitative analysis of haemoglobin oxygenation of contracting human muscle during weight-lifting exercise was studied noninvasively and directly using near-infrared spectroscopy. This method was developed as a three-wavelength method which confirmed the volume changes in oxygenated haemoglobin (oxy-Hb), deoxygenated haemoglobin (deoxy-Hb) and blood volume (total-Hb; Oxy-Hb + deoxy-Hb). Nine healthy adult men with various levels of training experience took part in the study. Ten repetition maximum (10 RM) one-arm curl exercise was performed by all the subjects. Results showed that at the beginning of the 10-RM exercise, rapid increases of deoxy-Hb and decreases of oxy-Hb were observed. In addition, total-Hb gradually increased during exercise. These results corresponded to the condition of arm blood flow experimentally restricted using a tourniquet in contact with the shoulder joint, and they showed the restriction of venous blood flow and an anoxic state occurring in the dynamically contracted muscle. In three sets of lifting exercise with short rest periods, these tendencies were accelerated in each set, while total-Hb volume did not return to the resting state after the third set for more than 90 s. These results would suggest that a training regimen emphasizing a moderately high load and a high number of repetitions, and a serial set with short rest periods such as usually performed by bodybuilders, caused a relatively long-term anoxic state in the muscle.