title: Empirical model for dynamic force-length behavior of airway smooth muscle.
abstract: An empirical mathematical model that describes the relation between force and length for dynamic loading of maximally activated airway smooth muscle is described. The model consists of three first-order, ordinary differential equations: one for muscle shortening, one for lengthening, and a third that describes the evolution of an internal variable that depends on muscle history. The model fits data on the dynamic force-length behavior of maximally activated trachealis muscle for a range of amplitudes and rates of shortening and lengthening. The muscle model is incorporated into a model for an intact airway tethered to the surrounding parenchyma. As an example of its use, the model airway is subjected to the loading that occurs during a deep breath. After the breath, the rate of muscle shortening is determined by the interaction between muscle dynamics and the elastic load that is imposed by interdependence forces.
authors.affiliation: Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, Minnesota 55455,USA.
authors.forename: Ron C
authors.initials: RC
authors.lastname: Anafi
authors.forename: Theodore A
authors.initials: TA
authors.lastname: Wilson
mesh_terms: D006801:Humans; D008954:Models, Biological; D009119:Muscle Contraction / Q000502:physiology*; D009130:Muscle, Smooth / Q000502:physiology*; D015656:Respiratory Mechanics; D014132:Trachea / Q000502:physiology*