Deterministic-Stochastic Boundary Element Modeling of the Brain and Eye Exposed to High-Frequency Radiation

Deterministic-Stochastic Boundary Element Modeling of the Brain and Eye Exposed to High-Frequency Radiation

Poljak, D. Dodig, H. Cvetković, M. Lallechere, S. El Khamlichi Drissi, K. Bonnet, P.

University of Split, Split, Croatia

Marine Center for Electronics, Split, Croatia

Blaise Pascal University, Clermont-Ferrand, France

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The paper reviews the influence of the variability in the morphology and the tissue properties of the human brain and eye, respectively, exposed to high-frequency (HF) radiation. Deterministic-stochastic modeling enables one to estimate the effects of the parameter uncertainties on the maximum induced electric field and Specific Absorption Rate (SAR). Surface Integral Equation (SIE) scheme applied to the brain exposed to HF radiation and hybrid boundary element method (BEM)/finite element method (FEM) scheme used to handle the eye exposure to HF radiation are discussed.

Furthermore, a simple stochastic collocation (SC), through which the relevant parameter uncertainties are taken into account, is presented. The SC approach also provides the assessment of corresponding confidence intervals in the set of obtained numerical results. The expansion of statistical output in terms of the mean and variance over a polynomial basis (via SC approach) is shown to be robust and efficient method providing a satisfactory convergence rate. Some illustrative numerical results for the maximum induced field and SAR in the brain and eye, respectively, are given in the paper, as well.


boundary integral equations, deterministic modeling, human exposure to electromagnetic fields, stochastic modeling


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