Browsing by Author "Abreu, Luiz A. S."
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Application of Bayesian filters to temperature estimation in deep brain stimulation(Springer Verlag, 2025-02-28) Pereira, Caroline R.; Jardim, Lucas C. S.; Abreu, Luiz A. S.; Knupp, Diego C.; Varon, Leonardo A. B.; Silva Neto, Antônio J.This work presents an approach for estimating the temperature field and, therefore, improving the accuracy of the internal temperature assessment in a brain containing a deep brain stimulation (DBS) lead. Thus, this research provides a methodology to avoid possible undesirable burns that may occur due to the heating of the tissues around the DBS lead. The classical two-dimensional bioheat equation is considered in the modeling of the heat transfer problem, and the Laplace equation was used to model the electric potential problem. The direct problem is solved with the finite element method (FEM), finite difference method (FDM), and the hybrid numerical–analytical approach generalized integral transform technique (GITT). For the inverse problem, estimates are obtained sequentially by solving a state estimation problem with particle filter methods. Two particle filters are used: the sampling importance resampling (SIR) algorithm and the Liu & West’s algorithm. Some results are presented and critically discussed for synthetic temperature measurements with different noise levels, leading to accurate estimations. The methodology presented in this work may bring a promising sequential approach to reduce the risk of injuries related to the deep brain stimulation technique.