Answer Happy

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 constriction of the airways resulting from a 25%
reduction in smooth muscle length. Derive an expression for
the change in airway radius:
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:
TL r sm Smooth Muscle Submucosa
1,1 1,0
ul R = πY4