The epithelial folding that occurs during bronchoconstriction requires
that the pressure on the muscle side of the folding membrane be great
er than that on the lumen side. The pressure required for a given leve
l of folding depends on the elastic properties of the tissue and on th
e geometry of the folding. To quantify the elastic properties, uniaxia
l tensile stiffness of the tracheal inner wall of nine sheep was measu
red in two directions: parallel to the tracheal axis and circumferenti
ally. The tissue showed anisotropic behavior, being approximately thre
e times stiffer longitudinally than circumferentially. Histological ex
amination showed that collagen in the lamina propria was randomly arra
nged, whereas there were straight elastin fibers aligned with the trac
heal axis. This observation could explain the observed elastic anisotr
opy. Mechanical removal of the epithelium had no effect on tensile sti
ffness. It was also found that the tissue was under tension in situ. W
hen a strip was excised, its length decreased by greater than or equal
to 30%. After allowing for the systematic errors inherent in this exp
eriment, the in situ circumferential tensile stiffness is estimated to
be greater than or equal to 20 kPa. If the equivalent tissue in the b
ronchioles has the same tensile stiffness as that in the trachea, the
forces required to fold the membrane are significant at small transbro
nchial pressure differences and increase in the presence of membrane t
hickening such as that seen in asthma.