Identification of passive constitutive arterial tissue parameters from pressure myography based on inverse hyperelasticity

Changes in the mechanical properties of arteries due to growth, remodeling, or aging are related with cardiovascular diseases. These changes can quantitatively be assessed if a suitable set of biomaterial constitutive parameters could be fitted onto the in vitro response from pressure myography. In Simon et al (1970), a pressure-diameter dataset reflecting the internal pressurization stage was provided. However, this data did not include the excised state. We developed an analytical continuum-based computational procedure to pull the current state back to the excised (reference) state. Using this procedure the data was fitted to a simple exponential model, and a 56% decrease in the shear modulus and a 19% decrease in the exponential constant were observed. Similar observations were made for the hyperelastic fibre-reinforced continuum model by Holzapfel et al (2000). In conclusion, the parameter identification process may be hindered as a result of an incomplete or partial dataset. Inverse deformation mapping may be used to
produce the missing data.