ArticleJournal of muscle research and cell motility2013
A re-interpretation of the rate of tension redevelopment (k(TR)) in active muscle.
Article in Journal of muscle research and cell motility, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Multi-omics Insight into Cardiac Myofibril Remodeling in Post-Prandial Burmese Pythons.bioRxiv : the preprint server for biology · 2026Article
- Human atrial skinned muscle fibers exhibit reduced length-dependent activation but show faster force development kinetics than ventricular muscle.Journal of molecular and cellular cardiology · 2026Article
- The elementary step that generates force and sinusoidal analysis in striated muscle fibers.Journal of muscle research and cell motility · 2025Review
- Biomechanical evaluation of flash-frozen and cryo-sectioned papillary muscle samples by using sinusoidal analysis: cross-bridge kinetics and the effect of partial CaJournal of muscle research and cell motility · 2024Article
- Phosphate rebinding induces force reversal via slow backward cycling of cross-bridges.Frontiers in physiology · 2024Article
- Mechanisms of Frank-Starling law of the heart and stretch activation in striated muscles may have a common molecular origin.Journal of muscle research and cell motility · 2021Article
- Phosphate has dual roles in cross-bridge kinetics in rabbit psoas single myofibrils.The Journal of general physiology · 2021Article
- Review
- Yank: the time derivative of force is an important biomechanical variable in sensorimotor systems.The Journal of experimental biology · 2019Article
- Omecamtiv mecarbil lowers the contractile deficit in a mouse model of nebulin-based nemaline myopathy.PloS one · 2019Article
- Nebulin increases thin filament stiffness and force per cross-bridge in slow-twitch soleus muscle fibers.The Journal of general physiology · 2018Article
- Thick-Filament Extensibility in Intact Skeletal Muscle.Biophysical journal · 2018Article
- Development of apical hypertrophic cardiomyopathy with age in a transgenic mouse model carrying the cardiac actin E99K mutation.Journal of muscle research and cell motility · 2017Article
- Kinetic coupling of phosphate release, force generation and rate-limiting steps in the cross-bridge cycle.Journal of muscle research and cell motility · 2017Review
- High ionic strength depresses muscle contractility by decreasing both force per cross-bridge and the number of strongly attached cross-bridges.Journal of muscle research and cell motility · 2015Article
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2 authors.
Funding
Abstract
A slackening to zero tension by large length release (~20%) and a restretch of active muscle fibres cause a fall and a redevelopment in tension. According to the model of Brenner (Proc Natl Acad Sci USA 85(9):3265-3269, 1988), the rate constant of tension redevelopment (k TR) is the sum of attachment and detachment rate constants, hence is limited by the fast reaction. Here we propose a model in which, after restretch, cross-bridges cycle many times by stretching series elastic elements, hence k(TR) is limited by a slow reaction. To set up this model, we made an assumption that the stepping rate (v) decreases linearly with tension (F), which is consistent with the Fenn effect. The distance traveled by a cross-bridge stretches series elastic elements with stiffness σ. With these assumptions, we set up a first order differential equation, which results in an exponential time course with the rate constant k(TR) = ση(0)ν(0)(1 - λ)/F(1), where λ = ν(1)/ν(0), η = step size, the subscript 0 indicates unloaded condition, and the subscript 1 indicate isometric condition. We demonstrate that the ATP hydrolysis rate (=[myosin head]/ν(0)) is proportionate to k(TR) as the ambient temperature is changed, and that the published data fit to this relationship well if λ = 0.28. We conclude that k(TR) is limited by the cross-bridge turnover rate; hence it represents the rate constant of the slowest reaction of the cross-bridge cycle, i.e. the ADP isomerization step before ADP is released.
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