Biomechanically based simulation of brain deformations for intraoperative image correction: coupling of elastic and fluid models

Alexander Hagemann; Karl Rohr; H. Siegfried Stiehl

doi:10.1117/12.387727

6 June 2000 Biomechanically based simulation of brain deformations for intraoperative image correction: coupling of elastic and fluid models

Alexander Hagemann, Karl Rohr, H. Siegfried Stiehl

Author Affiliations +

Proceedings Volume 3979, Medical Imaging 2000: Image Processing; (2000) https://doi.org/10.1117/12.387727
Event: Medical Imaging 2000, 2000, San Diego, CA, United States

Abstract

In order to improve the accuracy of image-guided neurosurgery, different biomechanical models have been developed to correct preoperative images w.r.t. intraoperative changes like brain shift or tumor resection. All existing biomechanical models simulate different anatomical structures by using either appropriate boundary conditions or by spatially varying material parameter values, while assuming the same physical model for all anatomical structures. In general, this leads to physically implausible results, especially in the case of adjacent elastic and fluid structures. Therefore, we propose a new approach which allows to couple different physical models. In our case, we simulate rigid, elastic, and fluid regions by using the appropriate physical description for each material, namely either the Navier equation or the Stokes equation. To solve the resulting differential equations, we derive a linear matrix system for each region by applying the finite element method (FEM). Thereafter, the linear matrix systems are linked together, ending up with one overall linear matrix system. Our approach has been tested using synthetic as well as tomographic images. It turns out from experiments, that the integrated treatment of rigid, elastic, and fluid regions significantly improves the prediction results in comparison to a pure linear elastic model.

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Alexander Hagemann, Karl Rohr, and H. Siegfried Stiehl "Biomechanically based simulation of brain deformations for intraoperative image correction: coupling of elastic and fluid models", Proc. SPIE 3979, Medical Imaging 2000: Image Processing, (6 June 2000); https://doi.org/10.1117/12.387727

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