Estimation of vascular open configuration using finite element inverse elastostatic method

This paper presents a new method for predicting the open configuration of vascular organs. The method utilizes finite element inverse elastostatic formulations. The equilibrium boundary value problem is formulated on the homeostatic configuration, and is solved inversely to find the open, stress-free configuration. The method is non-invasive, and enables us to estimate the open configuration based on information that is readily available form in vivo measurements. Examples involving both axisymmetric and asymmetric geometries are presented to demonstrate the utility of the method.