ArticlePLoS computational biology2011
A mathematical model of muscle containing heterogeneous half-sarcomeres exhibits residual force enhancement.
Article in PLoS computational biology, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
34 citing papers in PubMed.
- Cross-bridge model for predicting muscle short-range stiffness during movement.PLoS computational biology · 2026Article
- Nanometer scale difference in myofilament lattice structure of muscle alters muscle function in a spatially explicit model.PLoS computational biology · 2025Article
- Bayesian estimation of muscle mechanisms and therapeutic targets using variational autoencoders.Biophysical journal · 2025Article
- Stochastic force generation in an isometric binary mechanical system.The Journal of general physiology · 2024Article
- Bayesian Estimation of Muscle Mechanisms and Therapeutic Targets Using Variational Autoencoders.bioRxiv : the preprint server for biology · 2024Article
- Asynchronous movement of sarcomeres in myocardium under living conditions: role of titin.Frontiers in physiology · 2024Article
- Advancing clinical translation of cardiac biomechanics models: a comprehensive review, applications and future pathways.Frontiers in physics · 2023Article
- Numerical instability of Hill-type muscle models.Journal of the Royal Society, Interface · 2023Review
- Gaining new understanding of sarcomere length non-uniformities in skeletal muscles.Frontiers in physiology · 2023Article
- Reduced preload increases Mechanical Control (strain-rate dependence) of Relaxation by modifying myosin kinetics.Archives of biochemistry and biophysics · 2021Article
- Hypertrophic cardiomyopathy β-cardiac myosin mutation (P710R) leads to hypercontractility by disrupting super relaxed state.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- The effects of inorganic phosphate on muscle force development and energetics: challenges in modelling related to experimental uncertainties.Journal of muscle research and cell motility · 2021Article
- Fast-relaxing cardiomyocytes exert a dominant role in the relaxation behavior of heterogeneous myocardium.Archives of biochemistry and biophysics · 2021Article
- Hypothesis: Single Actomyosin Properties Account for Ensemble Behavior in Active Muscle Shortening and Isometric Contraction.International journal of molecular sciences · 2020Article
- Nanometer-scale structure differences in the myofilament lattice spacing of two cockroach leg muscles correspond to their different functions.The Journal of experimental biology · 2020Article
- How myofilament strain and strain rate lead the dance of the cardiac cycle.Archives of biochemistry and biophysics · 2019Review
- A Spatially Explicit Model Shows How Titin Stiffness Modulates Muscle Mechanics and Energetics.Integrative and comparative biology · 2018Article
- Basic science and clinical use of eccentric contractions: History and uncertainties.Journal of sport and health science · 2018Review
- A continuum-mechanical skeletal muscle model including actin-titin interaction predicts stable contractions on the descending limb of the force-length relation.PLoS computational biology · 2017Article
- Physiological Mechanisms of Eccentric Contraction and Its Applications: A Role for the Giant Titin Protein.Frontiers in physiology · 2017Review
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
3 authors.
Funding
Abstract
A skeletal muscle fiber that is stimulated to contract and then stretched from L₁ to L₂ produces more force after the initial transient decays than if it is stimulated at L₂. This behavior has been well studied experimentally, and is known as residual force enhancement. The underlying mechanism remains controversial. We hypothesized that residual force enhancement could reflect mechanical interactions between heterogeneous half-sarcomeres. To test this hypothesis, we subjected a computational model of interacting heterogeneous half-sarcomeres to the same activation and stretch protocols that produce residual force enhancement in real preparations. Following a transient period of elevated force associated with active stretching, the model predicted a slowly decaying force enhancement lasting >30 seconds after stretch. Enhancement was on the order of 13% above isometric tension at the post-stretch muscle length, which agrees well with experimental measurements. Force enhancement in the model was proportional to stretch magnitude but did not depend strongly on the velocity of stretch, also in agreement with experiments. Even small variability in the strength of half-sarcomeres (2.1% standard deviation, normally distributed) was sufficient to produce a 5% force enhancement over isometric tension. Analysis of the model suggests that heterogeneity in half-sarcomeres leads to residual force enhancement by storing strain energy introduced during active stretch in distributions of bound cross-bridges. Complex interactions between the heterogeneous half-sarcomeres then dissipate this stored energy at a rate much slower than isolated cross-bridges would cycle. Given the variations in half-sarcomere length that have been observed in real muscle preparations and the stochastic variability inherent in all biological systems, half-sarcomere heterogeneity cannot be excluded as a contributing source of residual force enhancement.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.