title: Inverse method of stress analysis for cerebral aneurysms.
abstract: We present a method for predicting the wall stress in a class of cerebral aneurysms. The method hinges on an inverse formulation of the elastostatic equilibrium problem; it takes as the input a deformed configuration and the corresponding pressure, and predicts the wall stress in the given deformed state. For a membrane structure, the inverse formulation possesses a remarkable feature, that is, it can practically determine the wall tension without accurate knowledge of the wall elastic properties. In this paper, we present a finite element formulation for the inverse membrane problem and perform material sensitivity studies on idealized lesions and an image-based cerebral aneurysm model.
authors.affiliation: Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242-1527, USA. jia-lu@uiowa.edu
authors.forename: Jia
authors.initials: J
authors.lastname: Lu
authors.forename: Xianlian
authors.initials: X
authors.lastname: Zhou
authors.forename: Madhavan L
authors.initials: ML
authors.lastname: Raghavan
mesh_terms: D016880:Anisotropy; D003198:Computer Simulation; D020342:Finite Element Analysis; D006801:Humans; D002532:Intracranial Aneurysm / Q000473:pathology*; D008954:Models, Biological; D008955:Models, Cardiovascular; D012680:Sensitivity and Specificity; D033081:Shear Strength; D013314:Stress, Mechanical