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Empirical model for dynamic force-length behavior of airway smooth muscle.

Authors
  • Anafi, Ron C
  • Wilson, Theodore A
Type
Published Article
Journal
Journal of applied physiology (Bethesda, Md. : 1985)
Publication Date
Feb 01, 2002
Volume
92
Issue
2
Pages
455–460
Identifiers
PMID: 11796651
Source
Medline
License
Unknown

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.

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