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In this work, a computational model for the interaction of blood flow with the wall of an intracranial saccular aneurysm that is surrounded by cerebral spinal fluid is considered. The coupled fluid-structure interaction model presented includes growth and remodeling effects within the soft-tissue by incorporating elastin and collagen dynamics which are two of the main layers in the arterial wall. The resulting nonlinear system of coupled differential equations are solved numerically using implicit finite difference methods coupled with the Newton's method. The linearized version of the nonlinear system was also considered and solved both analytically using Laplace transformation and numerically using implicit finite difference methods. The nonlinear effects on rupture was studied and compared for benchmark studies and the computational results indicate that the model proposed is robust and reliable.

computation, modeling, simulaiton, numerical methods