ArticleBiophysical journal2006
Mathematical simulation of muscle cross-bridge cycle and force-velocity relationship.
Article in Biophysical journal, 2006. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed, 37 citations in OpenAlex.
- The Rate of Torque Development as a Determinant of the Torque-Velocity Relationship.Scandinavian journal of medicine & science in sports · 2025Article
- Actin Stress Fibers Response and Adaptation under Stretch.International journal of molecular sciences · 2022Article
- The Huxley crossbridge model as the basic mechanism for airway smooth muscle contraction.American journal of physiology. Lung cellular and molecular physiology · 2019Article
- Robust mechanobiological behavior emerges in heterogeneous myosin systems.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Variability, frequency composition, and temporal regularity of submaximal isometric elbow flexion force in subacute stroke.Experimental brain research · 2016Article
- β-adrenergic effects on cardiac myofilaments and contraction in an integrated rabbit ventricular myocyte model.Journal of molecular and cellular cardiology · 2015Article
- Emergent systems energy laws for predicting myosin ensemble processivity.PLoS computational biology · 2015Article
- A biomechanical model for fluidization of cells under dynamic strain.Biophysical journal · 2015Article
- Poorly understood aspects of striated muscle contraction.BioMed research international · 2015Review
- Hill's equation of muscle performance and its hidden insight on molecular mechanisms.The Journal of general physiology · 2013Review
- Simulation system of spinal cord motor nuclei and associated nerves and muscles, in a Web-based architecture.Journal of computational neuroscience · 2008Article
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Authors and funding
4 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Muscle contraction underlies many essential functions such as breathing, heart beating, locomotion, regulation of blood pressure, and airway resistance. Active shortening of muscle is the result of cycling of myosin cross-bridges that leads to sliding of myosin filaments relative to actin filaments. In this study, we have developed a computer program that allows us to alter the rates of transitions between any cross-bridge-states in a stochastic cycle. The cross-bridge states within the cycle are divided into six attached (between myosin cross-bridges and actin filaments) states and one detached state. The population of cross-bridges in each of the states is determined by the transition rates throughout the cycle; differential equations describing the transitions are set up as a cyclic matrix. A method for rapidly obtaining steady-state exact solutions for the cyclic matrix has been developed to reduce computation time and avoid the divergence problem associated with numerical solutions. In the seven-state model, two power strokes are assumed for each cross-bridge cycle, one before the release of inorganic phosphate, and one after. The characteristic hyperbolic force-velocity relationship observed in muscle contraction can be reproduced by the model. Deviation from the single hyperbolic behavior at low velocities can be mimicked by allowing the rate of cross-bridge-attachment to vary with velocity. The effects of [ATP], [ADP], and [P(i)] are simulated by changing transition rates between specific states. The model has revealed new insights on how the force-velocity characteristics are related to the state transitions in the cross-bridge cycle.
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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.