ArticleJournal of the mechanics and physics of solids2014
The Generalized Hill Model: A Kinematic Approach Towards Active Muscle Contraction.
Article in Journal of the mechanics and physics of solids, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Optimized biomechanical design of a tissue engineered pulsatile Fontan conduit.NPJ Regenerative medicine · 2026Article
- Is EMG Information Necessary for Deep Learning Estimation of Joint and Muscle Level States?IEEE transactions on bio-medical engineering · 2026Article
- Heart in a knot: unraveling the impact of the nested tori myofiber architecture on ventricular mechanics.Biomechanics and modeling in mechanobiology · 2025Article
- The musculotendinous interface: insights into development, injury, and recovery for military medical applications.Frontiers in physiology · 2025Review
- Ballistic Gels in Experimental Fracture Setting.Gels (Basel, Switzerland) · 2024Article
- Enhanced Extraction of Activation Time and Contractility From Myocardial Strain Data Using Parameter Space Features and Computational Simulations.TheScientificWorldJournal · 2024Article
- Current progress toward isogeometric modeling of the heart biophysics.Biophysics reviews · 2023Review
- Modeling of active skeletal muscles: a 3D continuum approach incorporating multiple muscle interactions.Frontiers in bioengineering and biotechnology · 2023Article
- How viscous is the beating heart?: Insights from a computational study.Computational mechanics · 2022Article
- On modeling the multiscale mechanobiology of soft tissues: Challenges and progress.Biophysics reviews · 2022Review
- Precision medicine in human heart modeling : Perspectives, challenges, and opportunities.Biomechanics and modeling in mechanobiology · 2021Review
- Biomechanics of infarcted left ventricle: a review of modelling.Biomedical engineering letters · 2020Review
- Locally coupled electromechanical interfaces based on cytoadhesion-inspired hybrids to identify muscular excitation-contraction signatures.Nature communications · 2020Article
- A Contemporary Look at Biomechanical Models of Myocardium.Annual review of biomedical engineering · 2019Review
- The importance of mechano-electrical feedback and inertia in cardiac electromechanics.Computer methods in applied mechanics and engineering · 2017Article
- Modeling molecular mechanisms in the axon.Computational mechanics · 2017Article
- A viscoactive constitutive modeling framework with variational updates for the myocardium.Computer methods in applied mechanics and engineering · 2017Article
- On high heels and short muscles: a multiscale model for sarcomere loss in the gastrocnemius muscle.Journal of theoretical biology · 2015Article
- The Living Heart Project: A robust and integrative simulator for human heart function.European journal of mechanics. A, Solids · 2014Article
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3 authors.
Funding
Abstract
Excitation-contraction coupling is the physiological process of converting an electrical stimulus into a mechanical response. In muscle, the electrical stimulus is an action potential and the mechanical response is active contraction. The classical Hill model characterizes muscle contraction though one contractile element, activated by electrical excitation, and two non-linear springs, one in series and one in parallel. This rheology translates into an additive decomposition of the total stress into a passive and an active part. Here we supplement this additive decomposition of the stress by a multiplicative decomposition of the deformation gradient into a passive and an active part. We generalize the one-dimensional Hill model to the three-dimensional setting and constitutively define the passive stress as a function of the total deformation gradient and the active stress as a function of both the total deformation gradient and its active part. We show that this novel approach combines the features of both the classical stress-based Hill model and the recent active-strain models. While the notion of active stress is rather phenomenological in nature, active strain is micro-structurally motivated, physically measurable, and straightforward to calibrate. We demonstrate that our model is capable of simulating excitation-contraction coupling in cardiac muscle with its characteristic features of wall thickening, apical lift, and ventricular torsion.
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