Journal of Applied Mathematics
Volume 2012 (2012), Article ID 409127, 20 pages
Research Article

Modeling of Brain Shift Phenomenon for Different Craniotomies and Solid Models

1Department of Mechanical Engineering, Universidad de Chile, Beauchef 850, Santiago, Chile
2Department of Mathematical Engineering and Center for Mathematical Modeling, Universidad de Chile, Av. Blanco Encalada 2120, Santiago, Chile

Received 15 July 2011; Revised 4 October 2011; Accepted 20 October 2011

Academic Editor: Venky Krishnan

Copyright © 2012 Alvaro Valencia et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study investigates the effects of different solid models on predictions of brain shift for three craniotomies. We created a generic 3D brain model based on healthy human brain and modeled the brain parenchyma as single continuum and constrained by a practically rigid skull. We have used elastic model, hyperelastic 1st, 2nd, and 3rd Ogden models, and hyperelastic Mooney-Rivlin with 2- and 5-parameter models. A pressure on the brain surface at craniotomy region was applied to load the model. The models were solved with the finite elements package ANSYS. The predictions on stress and displacements were compared for three different craniotomies. The difference between the predictions of elastic solid model and a hyperelastic Ogden solid model of maximum brain displacement and maximum effective stress is relevant.