Inverse method of stress analysis for cerebral aneurysms

Jia Lu, Xianlian Zhou, Madhavan L. Raghavan

Research output: Contribution to journalArticlepeer-review

81 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)477-486
Number of pages10
JournalBiomechanics and Modeling in Mechanobiology
Issue number6
StatePublished - Dec 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Modeling and Simulation
  • Mechanical Engineering


  • Cerebral aneurysms
  • Inverse elastostatics
  • Membrane theory
  • Patient-specific analysis


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