The mechanical properties of lung tissue are important contributors to
both the elastic and dissipative properties of the entire organ at no
rmal breathing frequencies. A number of detailed studies have shown th
at the stress adaptation in the tissue of the lung following a step ch
ange in volume is very accurately described by the function t(-k), for
some small positive constant k. We applied step increases in length t
o lung parenchymal strips and found the ensuing stress recovery to be
extremely accurately described by t(-k) over almost 3 decades of time,
despite the quasi-static stress-length characteristics of the strips
being highly nonlinear. The corresponding complex impedance of lung ti
ssue was found to have a magnitude that varied inversely with frequenc
y. We note that this is highly reminiscent of a phenomenon known as 1/
f noise, which has been shown to occur ubiquitously throughout the nat
ural world. 1/f noise has been postulated to be a reflection of the co
mplexity of the system that produces it, something like a central limi
t theorem for dynamic systems. We have therefore developed the hypothe
sis that the t(-k) nature of lung tissue stress adaptation follows fro
m the fact that lung tissue itself is composed of innumerable componen
ts that interact in an extremely rich and varied manner. Thus, althoug
h the constant k is no doubt determined by the particular constituents
of the tissue, we postulate that the actual functional form of the st
ress adaptation is not.