Tissue Remodeling of Rat Pulmonary Artery in Hypoxic Breathing. II. Course of Change of Mechanical Properties

AbstractWhen cells and the matrix of a tissue remodel, the mechanical properties of the tissue do change. The mechanical properties are expressed by constitutive equations. In this article the remodeling of the constitutive equation of the pulmonary artery is studied. The remodeling was induced in a rat breathing a gas whose oxygen concentration was suddenly decreased as a step function of time and maintained constant (17.2%, 13.6%, or 10%) afterwards. Since the mathematical form of the constitutive equation has been identified in earlier papers, we need to determine only the elastic constants that change in the process of tissue remodeling. We consider arteries subjected to blood pressure and longitudinal stretch, and limit ourselves to two-dimensional problems involving only circumferential and longitudinal stress and strain. In the neighborhood of an in vivo state, the perturbations of stresses and strains are related by linear, anisotropic, tensor equations involving three elastic constants: the incremental Young's modulus in the circumferential direction Yθ θ, that in the longitudinal direction Yzz, and the cross modulus Yθz Over a 24 h period, changes of Yθ θ between 164 and 187 kN/m2 Yzz between 64 and 92 kN/m2 and Yθ z between 61 and 88 kN/m2 are statistically insignificant. © 2001 Biomedical Engineering Society. PAC01: 8719Rr, 8719Uv

[1]  Y C Fung,et al.  Changes of zero-stress state of rat pulmonary arteries in hypoxic hypertension. , 1991, Journal of applied physiology.

[2]  Y C Fung,et al.  Determination of the mechanical properties of the different layers of blood vessels in vivo. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[3]  J. D. Humphrey,et al.  Computer-aided vascular experimentation: A new electromechanical test system , 2006, Annals of Biomedical Engineering.

[4]  S. A. Rooholamini,et al.  Pressure-diameter relations of small blood vessels in isolated dog lung. , 1970, Microvascular research.

[5]  Ricardo LuisArmentano,et al.  Arterial Wall Mechanics in Conscious Dogs , 1995 .

[6]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[7]  Y C Fung,et al.  Nonlinear indicial response of complex nonstationary oscillations as pulmonary hypertension responding to step hypoxia. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Wei Huang,et al.  Tissue Remodeling of Rat Pulmonary Artery in Hypoxic Breathing. I. Changes of Morphology, Zero-Stress State, and Gene Expression , 2004, Annals of Biomedical Engineering.

[9]  Y C Fung,et al.  Biaxial mechanics of excised canine pulmonary arteries. , 1995, The American journal of physiology.

[10]  Y C Fung,et al.  Engineering analysis of biological variables: an example of blood pressure over 1 day. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[11]  Y C Fung,et al.  Changes in the rheological properties of blood vessel tissue remodeling in the course of development of diabetes. , 1992, Biorheology.

[12]  Y C Fung,et al.  Changes in the structure and mechanical properties of pulmonary arteries of rats exposed to cigarette smoke. , 1993, The American review of respiratory disease.

[13]  Y C Fung,et al.  Elasticity of small pulmonary arteries in the cat. , 1980, Journal of biomechanical engineering.

[14]  Kozaburo Hayashi,et al.  Theoretical Study of the Effects of Vascular Smooth Muscle Contraction on Strain and Stress Distributions in Arteries , 1999, Annals of Biomedical Engineering.

[15]  Y. Fung,et al.  Influence of STZ-Induced Diabetes on Zero-Stress States of Rat Pulmonary and Systemic Arteries , 1992, Diabetes.

[16]  G S Kassab,et al.  Diameter-defined Strahler system and connectivity matrix of the pulmonary arterial tree. , 1994, Journal of applied physiology.

[17]  Y C Fung,et al.  Remodeling of the constitutive equation while a blood vessel remodels itself under stress. , 1993, Journal of biomechanical engineering.

[18]  J D Humphrey,et al.  Mechanics of the arterial wall: review and directions. , 1995, Critical reviews in biomedical engineering.

[19]  Y C Fung,et al.  New experiments on shear modulus of elasticity of arteries. , 1994, The American journal of physiology.

[20]  Y C Fung,et al.  The degree of nonlinearity and anisotropy of blood vessel elasticity. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[21]  D. J. Patel,et al.  Mechanical properties and dimensions of the major pulmonary arteries. , 1960, Journal of applied physiology.

[22]  Y. Fung,et al.  Material coefficients of the strain energy function of pulmonary arteries in normal and cigarette smoke-exposed rats. , 1993, Journal of biomechanics.

[23]  阿部 博之,et al.  Data book on mechanical properties of living cells, tissues, and organs , 1996 .

[24]  P. Saffman,et al.  Extensibility of blood vessels in isolated rabbit lungs , 1965, The Journal of physiology.

[25]  S. Cowin,et al.  Biomechanics: Mechanical Properties of Living Tissues, 2nd ed. , 1994 .

[26]  Y C Fung,et al.  Use of intrinsic modes in biology: examples of indicial response of pulmonary blood pressure to +/- step hypoxia. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[27]  J D Humphrey,et al.  An evaluation of pseudoelastic descriptors used in arterial mechanics. , 1999, Journal of biomechanical engineering.