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J Appl Physiol 99: 1885-1890, 2005. First published June 30, 2005; doi:10.1152/japplphysiol.00450.2005
8750-7587/05 $8.00
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Smooth muscle dynamics and maximal expiratory flow in asthma

Rodney K. Lambert1 and Theodore A. Wilson2

1Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand; and 2Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, Minnesota

Submitted 21 April 2005 ; accepted in final form 17 June 2005

A computational model for maximal expiratory flow in constricted lungs is presented. The model was constructed by combining a previous computational model for maximal expiratory flow in normal lungs and a previous mathematical model for smooth muscle dynamics. Maximal expiratory flow-volume curves were computed for different levels of smooth muscle activation. The computed maximal expiratory flow-volume curves agree with data in the literature on flow in constricted nonasthmatic subjects. In the model, muscle force during expiration depends on the balance between the decrease in force that accompanies muscle shortening and the recovery of force that occurs during the time course of expiration, and the computed increase in residual volume (RV) depends on the magnitude of force recovery. The model was also used to calculate RV for a vital capacity maneuver with a slow rate of expiration, and RV was found to be further increased for this maneuver. We propose that the measurement of RV for a vital capacity maneuver with a slow rate of expiration would provide a more sensitive test of smooth muscle activation than the measurement of maximal expiratory flow.

mathematical model; mechanics; constricted lungs; flow-volume curve


Address for reprint requests and other correspondence: T. A. Wilson, 107 Akerman Hall, 110 Union St. SE, Minneapolis, MN 55455 (e-mail: wilson{at}aem.umn.edu)




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