Distensibility characteristics of caval veins and empirical exponential formulae

The stress-strain curves of the vena cava have been measured of vena cava superior, and the intrathoracic and abdominal portions of vena cava inferior excised from dogs. The stress sigma is expressed by the exponential function of the strain gamma as follows: sigma = sigma 0[exp (gamma/gamma 0) - 1] in the longitudinal direction, and sigma = sigma 1[exp(gamma/gamma 1) - 1] + sigma 2 [exp(gamma/gamma 2) - 1] in the circumferential one for all the three kinds of veins. The constants sigma 0, gamma 0, sigma 1, gamma 1, sigma 2 and gamma 2 are determined by a nonlinear least squares method.