Consider the following model to explore how bronchoconstriction in asthmatic or normal airways may result in smooth musc

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Consider the following model to explore how bronchoconstriction
in asthmatic or normal airways may result in smooth muscle
shortening. The airway smooth muscle is assumed to be confined to a
band surrounding the inner tissues of the wall (submucosa, mucosa –
see diagram).

Consider The Following Model To Explore How Bronchoconstriction In Asthmatic Or Normal Airways May Result In Smooth Musc 1 (26.9 KiB) Viewed 19 times

Consider constriction of the airways resulting from a 25%
reduction in smooth muscle length. Derive an expression for
the change in airway radius:

Consider The Following Model To Explore How Bronchoconstriction In Asthmatic Or Normal Airways May Result In Smooth Musc 2 (1.28 KiB) Viewed 19 times

Assume the wall area inside the smooth muscle,
A_{w}, remains constant and that the circular geometry
of the airway lumen and the smooth muscle ring is maintained.
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Use Poiseuille's equation to aid in the formulation of this
expression:

Consider The Following Model To Explore How Bronchoconstriction In Asthmatic Or Normal Airways May Result In Smooth Musc 3 (2.63 KiB) Viewed 19 times

TL r sm Smooth Muscle Submucosa
1,1 1,0
ul R = πY4