Modelling of bioimpedance measurements: unstructured mesh application to real human anatomy

A. A. Danilov 1 , D. V. Nikolaev 2 , S. G. Rudnev 1 , V. Yu. Salamatova 3 ,  and Yu. V. Vassilevski 1
  • 1 Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow 119333, Russia.
  • 2 Scientific Research Center ‘Medass’, Moscow 101000, Russia
  • 3 Scientific-Educational Center of the Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow 119333, Russia


A technology for high-resolution efficient numerical modelling of bioimpedance measurements is considered that includes 3D image segmentation, adaptive unstructured tetrahedral mesh generation, finite-element discretization, and analysis of simulation data. The first-order convergence of the proposed numerical methods on a series of unmatched meshes and roughly second-order convergence on a series of nested meshes are shown. The current, potential, and sensitivity field distributions are computed for conventional schemes of bioimpedance measurements using segmented geometrical torso model of the Visible Human Project (VHP) man. Use of the adaptive tetrahedral meshes reduces significantly the number of mesh elements and, hence, the associated computational cost compared to rectangular meshes while keeping the model accuracy.

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The journal provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, select papers on the basis of their high scientific standard, innovative approach and topical interest.