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arXiv · 1611.07403

Low-Dimensional Stochastic Modeling of the Electrical Properties of Biological Tissues

Ulrich Römer·Christian Schmidt·Ursula van Rienen·Sebastian Schöps
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Abstract

Uncertainty quantification plays an important role in biomedical engineering as measurement data is often unavailable and literature data shows a wide variability. Using state-of-the-art methods one encounters difficulties when the number of random inputs is large. This is the case, e.g., when using composite Cole-Cole equations to model random electrical properties. It is shown how the number of parameters can be significantly reduced by the Karhunen-Loeve expansion. The low-dimensional random model is used to quantify uncertainties in the axon activation during deep brain stimulation. Numerical results for a Medtronic 3387 electrode design are given.

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Ulrich Römer, Christian Schmidt, Ursula van Rienen, Sebastian Schöps. 2016-11-22. Low-Dimensional Stochastic Modeling of the Electrical Properties of Biological Tissues. https://doi.org/10.1109/tmag.2017.2668841

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