ReviewThe Journal of general physiology2013
Hill's equation of muscle performance and its hidden insight on molecular mechanisms.
Review in The Journal of general physiology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
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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.
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Who cites it
34 citing papers in PubMed.
- Alterations to longitudinal muscle morphology and mechanical function following immobilization and recovery in female ovariectomized and intact rats.Experimental physiology · 2026Article
- Do Flywheel Exercises Provide Eccentric-Overload Training?Sports medicine - open · 2026Article
- Elastic Energy Storage in Biological Materials: Internal Stresses and Their Functionality.Advanced materials (Deerfield Beach, Fla.) · 2025Review
- Microscale velocity-dependent unbinding generates a macroscale performance-efficiency tradeoff in actomyosin systems.Communications biology · 2025Article
- The musculotendinous interface: insights into development, injury, and recovery for military medical applications.Frontiers in physiology · 2025Review
- Article
- The examination of detrusor underactivity in multiple system atrophy.Frontiers in neurology · 2024Article
- The Problem with Inventing Molecular Mechanisms to Fit Thermodynamic Equations of Muscle.International journal of molecular sciences · 2023Article
- Scaling the tail beat frequency and swimming speed in underwater undulatory swimming.Nature communications · 2023Review
- Mechanics of The Medial Gastrocnemius-Tendon Unit in Behaving more Efficiently in Habitual Non-Rearfoot Strikers than in Rearfoot Strikers during Running.Journal of sports science & medicine · 2023Article
- A computational bridge between traction force microscopy and tissue contraction.Journal of applied physics · 2023Article
- The Force-Velocity Profile for Jumping: What It Is and What It Is Not.Medicine and science in sports and exercise · 2023Article
- Understanding altered contractile properties in advanced age: insights from a systematic muscle modelling approach.Biomechanics and modeling in mechanobiology · 2023Article
- A Novel Approach to the Determination of Time- and Fatigue-Dependent Efficiency during Maximal Cycling Sprints.Sports (Basel, Switzerland) · 2023Article
- Muscle active force-length curve explained by an electrophysical model of interfilament spacing.Biophysical journal · 2022Article
- Nitric oxide and skeletal muscle contractile function.Nitric oxide : biology and chemistry · 2022Review
- Molecular Events of the Crossbridge Cycle Reflected in the Force-Velocity Relationship of Activated Muscle.Frontiers in physiology · 2022Review
- Filament evanescence of myosin II and smooth muscle function.The Journal of general physiology · 2021Review
- Phytoecdysteroids Accelerate Recovery of Skeletal Muscle Function FollowingFrontiers in rehabilitation sciences · 2021Article
- Dietary nitrate supplementation increases diaphragm peak power in old mice.The Journal of physiology · 2020Article
Corrections and comments
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Authors and funding
1 author.
Funding
Abstract
Muscles shorten faster against light loads than they do against heavy loads. The hyperbolic equation first used by A.V. Hill over seven decades ago to illustrate the relationship between shortening velocity and load is still the predominant method used to characterize muscle performance, even though it has been regarded as purely empirical and lacking precision in predicting velocities at high and low loads. Popularity of the Hill equation has been sustained perhaps because of historical reasons, but its simplicity is certainly attractive. The descriptive nature of the equation does not diminish its role as a useful tool in our quest to understand animal locomotion and optimal design of muscle-powered devices like bicycles. In this Review, an analysis is presented to illustrate the connection between the historic Hill equation and the kinetics of myosin cross-bridge cycle based on the latest findings on myosin motor interaction with actin filaments within the structural confines of a sarcomere. In light of the new data and perspective, some previous studies of force-velocity relations of muscle are revisited to further our understanding of muscle mechanics and the underlying biochemical events, specifically how extracellular and intracellular environment, protein isoform expression, and posttranslational modification of contractile and regulatory proteins change the interaction between myosin and actin that in turn alter muscle force, shortening velocity, and the relationship between them.
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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.