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      A statistical framework for quantification and visualisation of positional uncertainty in deep brain stimulation electrodes.

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          Abstract

          Deep brain stimulation (DBS) is an established therapy for treating patients with movement disorders such as Parkinson's disease. Patient-specific computational modelling and visualisation have been shown to play a key role in surgical and therapeutic decisions for DBS. The computational models use brain imaging, such as magnetic resonance (MR) and computed tomography (CT), to determine the DBS electrode positions within the patient's head. The finite resolution of brain imaging, however, introduces uncertainty in electrode positions. The DBS stimulation settings for optimal patient response are sensitive to the relative positioning of DBS electrodes to a specific neural substrate (white/grey matter). In our contribution, we study positional uncertainty in the DBS electrodes for imaging with finite resolution. In a three-step approach, we first derive a closed-form mathematical model characterising the geometry of the DBS electrodes. Second, we devise a statistical framework for quantifying the uncertainty in the positional attributes of the DBS electrodes, namely the direction of longitudinal axis and the contact-centre positions at subvoxel levels. The statistical framework leverages the analytical model derived in step one and a Bayesian probabilistic model for uncertainty quantification. Finally, the uncertainty in contact-centre positions is interactively visualised through volume rendering and isosurfacing techniques. We demonstrate the efficacy of our contribution through experiments on synthetic and real datasets. We show that the spatial variations in true electrode positions are significant for finite resolution imaging, and interactive visualisation can be instrumental in exploring probabilistic positional variations in the DBS lead.

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          Author and article information

          Journal
          Comput Methods Biomech Biomed Eng Imaging Vis
          Computer methods in biomechanics and biomedical engineering. Imaging & visualization
          Informa UK Limited
          2168-1163
          2168-1163
          2019
          : 7
          : 4
          Affiliations
          [1 ] Scientific Computing & Imaging (SCI) Institute, University of Utah, Salt Lake City, USA.
          [2 ] Department of Biomedical Engineering, University of Utah, Salt Lake City, USA.
          Article
          NIHMS992529
          10.1080/21681163.2018.1523750
          6559743
          31186994

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