2025/05/26 by Mengjian Hua, Hua, Mengjian, Charles S. Peskin +1
Engineering · Medicine · #Biological Physics (physics.bio-ph) #Cardiomyopathy and Myosin Studies #FOS: Physical sciences #Muscle activation and electromyography studies
paper · pdf · doi:10.48550/arxiv.2505.20198
openalex publication_date 2025/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe in this paper a crossbridge model in which an attached crossbridge behaves like a linear spring with a variable rest length. We assume in particular that the rest length has a linear force-velocity relation, and that the force and rest length are both zero at the moment of crossbridge attachment. Crossbridges that are not attached in our model have a fixed probability per unit time of attachment, and attached crossbridges have a probability per unit time of detachment that is a function of the crossbridge force. This detachment rate is uniquely determined by the requirement that a limiting form of the model should reproduce the force-velocity curve and heat of shortening discovered by A.V.Hill~\citeAVHILL, and the detachment rate turns out to be a linearly decreasing function of the crossbridge force. The parameters of the model are determined by a fit to steady-state experimental data; and then an event-driven stochastic simulation methodology is introduced in order to study the behavior of the model in a simulated quick-release experiment. The model explains how the crossbridge can act like a linear spring on a fast time scale but have very different properties on a slower time scale.