Inverse problems in blood flow modeling: A review

Mathematical and computational modeling of the cardiovascular system is increasingly providing non-invasive alternatives to traditional invasive clinical procedures.
Moreover, it has the potential for generating additional diagnostic markers.
In blood flow computations, the personalization of spatially distributed (i.e., 3D)
models is a key step which relies on the formulation and numerical solution of inverse problems using clinical data, typically medical images for measuring both anatomy and function of the vasculature.
In the last years, the development and application of inverse methods has rapidly expanded, most likely due to the increased availability of data in clinical centers and the growing interest of modelers and clinicians in collaborating. Therefore, this work aims to provide a wide and comparative overview of literature within the last decade