Abstract
This research objective is to develop a time-dependent arterial wall modeling for arterial fluid-structure interaction. The computation has two challenges: (1) In the conventional method of representing the arterial lumen from medical images, there is no material-point correspondence between the representations for different instants during the cardiac cycle. (2) A zero-stress state (ZSS) needs to be estimated. The ZSS is related to the residual stress, which is normally acquired from cutting/opening the model, but here the only arterial-data source is medical images. Arterial lumens from medical images are shapes coming by deformation from the ZSS. Therefore, we propose a mapping method for that deformation that takes into account the physical properties of the artery, establishing the material-point correspondence needed. On the other hand, our current ZSS estimation method is only for finite element representation. Here, we extend the method to non-uniform rational B-spline (NURBS) representation to have higher continuities and convergence rates. Combining these two methods, material-point correspondence between the representations for different instants has been established.
