ArticleThe European physical journal. E, Soft matter2011
Dynamical behavior of molecular motor assemblies in the rigid and crossbridge models.
Article in The European physical journal. E, Soft matter, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- A Multiple Step Active Stiffness Integration Scheme to Couple a Stochastic Cross-Bridge Model and Continuum Mechanics for Uses in Both Basic Research and Clinical Applications of Heart Simulation.Frontiers in physiology · 2021Article
- Large and reversible myosin-dependent forces in rigidity sensing.Nature physics · 2019Article
- Embedding dual function into molecular motors through collective motion.Scientific reports · 2017Article
- Multiphysics and multiscale modelling, data-model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics.Interface focus · 2016Review
- Beam finite-element model of a molecular motor for the simulation of active fibre networks.Proceedings. Mathematical, physical, and engineering sciences · 2016Article
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Authors and funding
3 authors.
Funding
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Abstract
We present a detailed analysis of the dynamical instabilities appearing in two kinetic theories for the collective behavior of molecular motors: the rigid two-state model and the two-state crossbridge (or power-stroke) model with continuous binding sites. We calculate force-velocity relations, discuss their stability, plot a diagram that summarizes the oscillation regimes, identify the location of the Hopf bifurcation with a memory effect, discuss the oscillation frequency and make a link with single-molecule experiments. We show that the instabilities present in these models naturally translate into non-linearities in force-displacement relations, and at linear order give forces that are similar to the delayed stretch activation observed in oscillating muscles. We also find that instabilities can appear for both apparent load-decelerated and load-accelerated detachment rates in a 3-state crossbridge model.
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Registered trials
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