scholarly journals Reports of the length dependence of fatigue are greatly exaggerated

2006 ◽  
Vol 101 (1) ◽  
pp. 23-29 ◽  
Author(s):  
M. B. MacNaughton ◽  
B. R. MacIntosh
Keyword(s):  
Muscle Length ◽  
Repetitive Stimulation ◽  
Double Pulse ◽  
Medial Gastrocnemius ◽  
Passive Force ◽  
Active Force ◽  
Rightward Shift ◽  
Length Dependence ◽  
Force Depression ◽  
In Series

Relative force depression associated with muscle fatigue is reported to be greater when assessed at short vs. long muscle lengths. This appears to be due to a rightward shift in the force-length relationship. This rightward shift may be caused by stretch of in-series structures, making sarcomere lengths shorter at any given muscle length. Submaximal force-length relationships (twitch, double pulse, 50 Hz) were evaluated before and after repetitive contractions (50 Hz, 300 ms, 1/s) in an in situ preparation of the rat medial gastrocnemius muscle. In some experiments, fascicle lengths were measured with sonomicrometry. Before repetitive stimulation, fascicle lengths were 11.3 ± 0.8, 12.8 ± 0.9, and 14.4 ± 1.2 mm at lengths corresponding to −3.6, 0, and 3.6 mm where 0 is a reference length that corresponds with maximal active force for double-pulse stimulation. After repetitive stimulation, there was no change in fascicle lengths; these lengths were 11.4 ± 0.8, 12.6 ± 0.9, and 14.2 ± 1.2 mm. The length dependence of fatigue was, therefore, not due to a stretch of in-series structures. Interestingly, the rightward shift that was evident when active force was calculated in the traditional way (subtraction of the passive force measured before contraction) was not seen when active force was calculated by subtracting the passive force that was associated with the fascicle length reached at the peak of the contraction. This calculation is based on the assumption that passive force decreases as the fascicles shorten during a fixed-end contraction. This alternative calculation revealed similar postfatigue absolute active force depression at all lengths. In relative terms, a length dependence of fatigue was still evident, but this was greatly diminished compared with that observed when active force was calculated with the traditional method.

scholarly journals The length dependence of muscle active force: considerations for parallel elastic properties

2005 ◽  
Vol 98 (5) ◽  
pp. 1666-1673 ◽  
Author(s):  
Brian R. MacIntosh ◽  
Meredith B. MacNaughton
Keyword(s):  
Muscle Length ◽  
Element Model ◽  
Medial Gastrocnemius ◽  
Elastic Component ◽  
Contractile Element ◽  
Total Force ◽  
Passive Force ◽  
Active Force ◽  
Fascicle Length ◽  
The Relationship

The purpose of this study was to choose between two popular models of skeletal muscle: one with the parallel elastic component in parallel with both the contractile element and the series elastic component ( model A), and the other in which it is in parallel with only the contractile element ( model B). Passive and total forces were obtained at a variety of muscle lengths for the medial gastrocnemius muscle in anesthetized rats. Passive force was measured before the contraction ( passive A) or was estimated for the fascicle length at which peak total force occurred ( passive B). Fascicle length was measured with sonomicrometry. Active force was calculated by subtracting passive ( A or B) force from peak total force at each fascicle or muscle length. Optimal length, that fascicle length at which active force is maximized, was 13.1 ± 1.2 mm when passive A was subtracted and 14.0 ± 1.1 mm with passive B ( P < 0.01). Furthermore, the relationship between double-pulse contraction force and length was broader when calculated with passive B than with passive A. When the muscle was held at a long length, passive force decreased due to stress relaxation. This was accompanied by no change in fascicle length at the peak of the contraction and only a small corresponding decrease in peak total force. There is no explanation for the apparent increase in active force that would be obtained when subtracting passive A from the peak total force. Therefore, to calculate active force, it is appropriate to subtract passive force measured at the fascicle length corresponding to the length at which peak total force occurs, rather than passive force measured at the length at which the contraction begins.

Tendon organs of cat medial gastrocnemius: responses to active and passive forces as a function of muscle length

1975 ◽  
Vol 38 (5) ◽  
pp. 1217-1231 ◽  
Author(s):  
J. A. Stephens ◽  
R. M. Reinking ◽  
D. G. Stuart
Keyword(s):  
Firing Rate ◽  
Muscle Length ◽  
Motor Units ◽  
Medial Gastrocnemius ◽  
Passive Force ◽  
Force Development ◽  
Single Motor ◽  
Golgi Tendon Organs ◽  
Single Motor Units ◽  
Tendon Organs

The responses of 13 Golgi tendon organs to graded force development of 29 motor units in medial gastrocnemius of the cat have been studied in five experiments. Of the 13 tendon organs, 11 were responsive to passive stretch within the physiological range of muscle length and 5 were "spontaneously" active at very short lengths where no passive tension could be recorded. The relationship between passive force and the firing rates of the various afferents ranged from a linear one to a power relation (Y = Axb + c) with b, a widely varying exponent. Results support the general conclusion that although many Ib afferents respond to passive force within the physiological range of muscle stretch, this form of stimulus is not a particularly effective one. The statis responses of Golgi tendon organs to active force development produced by single motor units was studied at different muscle lengths. In all cases the apparent sensitivity (change in firing rate per active force developed) decreased as muscle length approached Lo. The static responses of Golgi tendon organs to force developed by single motor units were also studied during fatiguing contractions. The data suggest a sigmoid relationship between force developed at the tendon and the Ib response. The collective response of all 13 tendon organs to active and passive forces at different muscle lengths was also examined. This analysis offered further support for the viewpoint that active motor unit contractions provide themost significant excitatory input to tendon organs and that changes in passive force during muscle stretch have comparatively little effect on the collective tendon organ response. The interaction between active and passive force inputs to the Golgi tendon organs is discussed in relation to the complicated nature of the relationship between forces measured at the tendon and those acting within the receptor capsule. When these complications were taken into account it was possible to explain the differences in responsiveness of a given tendon organ to active contraction of several motor units and to passive force in terms of a single force-firing rate curve for the receptor. It is concluded that changes in the force of contraction of single motor units result in relatively small changes in Ib afferent firing and that during normal muscle contractions, changes in the number of motor units acting on a single receptor must produce far more significant changes in firing rate than changes in the amount of force developed by any single unit. Changes in dynamic Ib sensitivity to single motor unit contractions are also shown to depend on length and in a similar way to the changes in static Ib sensitivity. During fatiguing contractions, a sigmoid relation was found between the dynamic Ib response and the rate of force development by single motor units.

Low-frequency depression of tension in the cat gastrocnemius muscle after eccentric exercise

2004 ◽  
Vol 97 (4) ◽  
pp. 1195-1202 ◽  
Author(s):  
S. Parikh ◽  
D. L. Morgan ◽  
J. E. Gregory ◽  
U. Proske
Keyword(s):  
Eccentric Exercise ◽  
Muscle Activation ◽  
Low Frequency ◽  
Muscle Length ◽  
Isometric Tension ◽  
Medial Gastrocnemius ◽  
Eccentric Contractions ◽  
Optimum Length ◽  
Length Dependence ◽  
Before And After

Subjecting a muscle to a series of eccentric contractions in which the contracting muscle is lengthened results in a number of changes in its mechanical properties. These include a fall in isometric tension that is particularly pronounced during low-frequency stimulation, a phenomenon known as low-frequency depression (LFD). Reports of LFD have not taken into account the shift in optimum length for active tension generation to longer muscle lengths that takes place after eccentric contractions. Given the length dependence of the stimulation frequency-tension curve, we tested the hypothesis that the change in this relationship after eccentric exercise is due to the shift in optimum length. We measured LFD by recording tension in response to a linearly increasing rate of stimulation of the nerve to medial gastrocnemius of anesthetized cats, over the range 0–100 pulses per second. Tension responses were measured before and after 50 eccentric contractions consisting of 6-mm stretches starting at 3 mm below optimum length and finishing at 3 mm above it. An index of LFD was derived from the tension responses to ramp stimulation. It was found that LFD after the eccentric contractions was partly, but not entirely, due to changes in the muscle's optimum length. An additional factor was the effect of fatigue. These observations led to the conclusion that the muscle length dependence of LFD was reduced by eccentric contractions. All of this means that after eccentric exercise the tension deficit at low rates of muscle activation is likely to be less severe than first thought.

Adjustable passive length-tension curve in rabbit detrusor smooth muscle

2007 ◽  
Vol 102 (5) ◽  
pp. 1746-1755 ◽  
Author(s):  
John E. Speich ◽  
Christopher Dosier ◽  
Lindsey Borgsmiller ◽  
Kevin Quintero ◽  
Harry P. Koo ◽  
...  
Keyword(s):  
Smooth Muscle ◽  
Strain Softening ◽  
Muscle Length ◽  
Strain History ◽  
Total Force ◽  
Detrusor Smooth Muscle ◽  
Passive Force ◽  
Passive Stiffness ◽  
Active Force ◽  
Length Changes

Until the 1990s, the passive and active length-tension ( L-T) relationships of smooth muscle were believed to be static, with a single passive force value and a single maximum active force value for each muscle length. However, recent studies have demonstrated that the active L-T relationship in airway smooth muscle is dynamic and adapts to length changes over a period of time. Furthermore, our prior work showed that the passive L-T relationship in rabbit detrusor smooth muscle (DSM) is also dynamic and that in addition to viscoelastic behavior, DSM displays strain-softening behavior characterized by a loss of passive stiffness at shorter lengths following a stretch to a new longer length. This loss of passive stiffness appears to be irreversible when the muscle is not producing active force and during submaximal activation but is reversible on full muscle activation, which indicates that the stiffness component of passive force lost to strain softening is adjustable in DSM. The present study demonstrates that the passive L-T curve for DSM is not static and can shift along the length axis as a function of strain history and activation history. This study also demonstrates that adjustable passive stiffness (APS) can modulate total force (35% increase) for a given muscle length, while active force remains relatively unchanged (4% increase). This finding suggests that the structures responsible for APS act in parallel with the contractile apparatus, and the results are used to further justify the configuration of modeling elements within our previously proposed mechanical model for APS.

scholarly journals Additional in‐series compliance does not affect the length dependence of activation in rat medial gastrocnemius

2020 ◽  
Vol 105 (11) ◽  
pp. 1907-1917 ◽  
Author(s):  
Keenan B. MacDougall ◽  
Anders M. Kristensen ◽  
Brian R. MacIntosh
Keyword(s):  
Medial Gastrocnemius ◽  
Length Dependence ◽  
In Series ◽  
Series Compliance

Length dependence of Ca(2+)-tension relationship in aequorin-injected ferret papillary muscles

1997 ◽  
Vol 273 (3) ◽  
pp. H1068-H1074 ◽  
Author(s):  
K. Komukai ◽  
S. Kurihara
Keyword(s):  
Troponin I ◽  
Muscle Length ◽  
Repetitive Stimulation ◽  
Papillary Muscles ◽  
Tetanic Contraction ◽  
C Protein ◽  
Length Dependence ◽  
Dependent Change ◽  
Maximal Tension ◽  
The Relationship

The possible contractile proteins, which are related to the length-dependent change in the relationship between intracellular Ca2+ concentration ([Ca2+]i) and tension, were investigated using aequorin-injected ferret papillary muscles. Tetanic contraction was produced by applying repetitive stimulation to the ryanodine-treated preparations, and the relationships between [Ca2+]i and tension were measured. When the muscle length was decreased from maximal length (Lmax), at which maximal tension is produced, to 95 and 90% Lmax, the maximal tension was significantly decreased. [Ca2+]i required for producing 50% of the maximal tension was significantly increased from 1.05 +/- 0.04 microM (Lmax) to 1.17 +/- 0.04 microM (95% Lmax) and to 1.22 +/- 0.04 microM (90% Lmax). Isoproterenol (Iso) accentuated the length-dependent change in the [Ca2+]i-tension relationship. The decrease in the Ca2+ sensitivity induced by Iso was larger at shorter muscle lengths compared with that at Lmax. It is, therefore, suggested that adenosine 3',5'-cyclic monophosphate-dependent phosphorylation of troponin I and/or C protein alters the length dependence of the [Ca2+]i-tension relationship and that troponin I and/or C protein might be involved in the length-tension-dependent change in the affinity of the contractile elements for Ca2+.

scholarly journals Age-related reductions in the number of serial sarcomeres contribute to shorter fascicle lengths but not elevated passive tension

2020 ◽  
Author(s):  
Geoffrey A. Power ◽  
Sean Crooks ◽  
Jared R. Fletcher ◽  
Brian R. Macintosh ◽  
Walter Herzog
Keyword(s):  
Muscle Length ◽  
Medial Gastrocnemius ◽  
Slight Reduction ◽  
Passive Tension ◽  
Passive Force ◽  
Older Individuals ◽  
Age Related ◽  
Old Rats ◽  
Length Changes ◽  
Age Related Changes

AbstractWe investigated age-related changes to fascicle length (FL), sarcomere length (SL), and serial sarcomere number (SSN), and how this affects passive force. Following mechanical testing to determine passive force, the medial gastrocnemius muscle of young (n=9) and old (n=8) Fisher 344BN hybrid rats was chemically fixed at the optimal muscle length for force production; individual fascicles were dissected for length measurement, and laser diffraction was used to assess SL. Old rats had ∼14% shorter FL than young, which was driven by a ∼10% reduction in SSN, with no difference in SL (∼4%). Passive force was greater in the old compared to young rats at long muscle lengths. Shorter FL and reduced SSN in the old rats could not entirely explain increased passive forces for absolute length changes, owing to a slight reduction in SL in old, resulting in similar SL at long muscle lengths.Summary StatementThis study sought to explain the increased passive tension observed for muscles of older individuals owing to age-related changes to muscle architecture.

Calcium, Cross-Bridges, and the Frank-Starling Relationship

Physiology ◽  
2001 ◽  
Vol 16 (1) ◽  
pp. 5-10 ◽  
Author(s):  
Franklin Fuchs ◽  
Stephen H. Smith
Keyword(s):  
Cardiac Muscle ◽  
Thin Filament ◽  
Muscle Length ◽  
Active Force ◽  
Length Dependence ◽  
Myosin Filaments ◽  
Cross Bridges

The steep relationship between active force and length in cardiac muscle is based on a length dependence of myofilament Ca2+ sensitivity. However, it is not muscle length but the lateral spacing between actin and myosin filaments that sets the level of Ca2+ sensitivity, mainly through modulation of myosin-mediated activation of the thin filament.

scholarly journals Age-related reductions in the number of serial sarcomeres contribute to shorter fascicle lengths but not elevated passive tension

2021 ◽  
Author(s):  
Geoffrey A. Power ◽  
Sean Crooks ◽  
Jared R. Fletcher ◽  
Brian R. Macintosh ◽  
Walter Herzog
Keyword(s):  
Force Production ◽  
Muscle Length ◽  
Medial Gastrocnemius ◽  
Slight Reduction ◽  
Passive Force ◽  
Fascicle Length ◽  
Age Related ◽  
Absolute Length ◽  
Old Rats ◽  
Length Changes

We investigated age-related changes to fascicle length (FL), sarcomere length (SL), and serial sarcomere number (SSN), and how this affects passive force. Following mechanical testing to determine passive force, the medial gastrocnemius muscle of young (n=9) and old (n=8) Fisher 344BN hybrid rats was chemically fixed at the optimal muscle length for force production; individual fascicles were dissected for length measurement, and laser diffraction was used to assess SL. Old rats had ∼14% shorter FL than young, which was driven by a ∼10% reduction in SSN, with no difference in SL (∼4%). Passive force was greater in the old compared to young rats at long muscle lengths. Shorter FL and reduced SSN in the old rats could not entirely explain increased passive forces for absolute length changes, owing to a slight reduction in SL in old, resulting in similar SL at long muscle lengths.

scholarly journals Stimuli for Adaptations in Muscle Length and the Length Range of Active Force Exertion—A Narrative Review

2021 ◽  
Vol 12 ◽  
Author(s):  
Annika Kruse ◽  
Cintia Rivares ◽  
Guido Weide ◽  
Markus Tilp ◽  
Richard T. Jaspers
Keyword(s):  
Mechanical Loading ◽  
Longitudinal Muscle ◽  
Current Knowledge ◽  
Muscle Growth ◽  
Muscle Length ◽  
Active Force ◽  
Cross Sectional ◽  
Specific Loading ◽  
Length Range ◽  
In Series

Treatment strategies and training regimens, which induce longitudinal muscle growth and increase the muscles’ length range of active force exertion, are important to improve muscle function and to reduce muscle strain injuries in clinical populations and in athletes with limited muscle extensibility. Animal studies have shown several specific loading strategies resulting in longitudinal muscle fiber growth by addition of sarcomeres in series. Currently, such strategies are also applied to humans in order to induce similar adaptations. However, there is no clear scientific evidence that specific strategies result in longitudinal growth of human muscles. Therefore, the question remains what triggers longitudinal muscle growth in humans. The aim of this review was to identify strategies that induce longitudinal human muscle growth. For this purpose, literature was reviewed and summarized with regard to the following topics: (1) Key determinants of typical muscle length and the length range of active force exertion; (2) Information on typical muscle growth and the effects of mechanical loading on growth and adaptation of muscle and tendinous tissues in healthy animals and humans; (3) The current knowledge and research gaps on the regulation of longitudinal muscle growth; and (4) Potential strategies to induce longitudinal muscle growth. The following potential strategies and important aspects that may positively affect longitudinal muscle growth were deduced: (1) Muscle length at which the loading is performed seems to be decisive, i.e., greater elongations after active or passive mechanical loading at long muscle length are expected; (2) Concentric, isometric and eccentric exercises may induce longitudinal muscle growth by stimulating different muscular adaptations (i.e., increases in fiber cross-sectional area and/or fiber length). Mechanical loading intensity also plays an important role. All three training strategies may increase tendon stiffness, but whether and how these changes may influence muscle growth remains to be elucidated. (3) The approach to combine stretching with activation seems promising (e.g., static stretching and electrical stimulation, loaded inter-set stretching) and warrants further research. Finally, our work shows the need for detailed investigation of the mechanisms of growth of pennate muscles, as those may longitudinally grow by both trophy and addition of sarcomeres in series.

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