W. Huang et al., Tissue remodeling of rat pulmonary artery in hypoxic breathing. II. Courseof change of mechanical properties, ANN BIOMED, 29(7), 2001, pp. 552-562
When cells and the matrix of a tissue remodel, the mechanical properties of
the tissue do change. The mechanical properties are expressed by constitut
ive equations. In this article the remodeling of the constitutive equation
of the pulmonary artery is studied. The remodeling was induced in a rat bre
athing a gas whose oxygen concentration was suddenly decreased as a step fu
nction of time and maintained constant (17.2%, 13.6%, or 10%) afterwards. S
ince the mathematical form of the constitutive equation has been identified
in earlier papers, we need to determine only the elastic constants that ch
ange in the process of tissue remodeling. We consider arteries subjected to
blood pressure and longitudinal stretch, and limit ourselves to two-dimens
ional problems involving only circumferential and longitudinal stress and s
train. In the neighborhood of an in vivo state, the perturbations of stress
es and strains are related by linear, anisotropic, tensor equations involvi
ng three elastic constants: the incremental Young's modulus in the circumfe
rential direction Y-theta theta, that in the longitudinal direction Y-zz, a
nd the cross modulus Y-thetaz. Over a 24 h period, changes of Y-theta theta
between 164 and 187 kN/m(2), Y-zz between 64 and 92 kN/m(2), and Y-thetaz
between 61 and 88 kN/m(2) are statistically insignificant. (C) 2001 Biomedi
cal Engineering Society.