Hybrid finite elements and spectral method for computation of the electric potential generated by a nerve cuff electrode.
(1999) Medical & Biological Engineering & Computing — Vol. 37, n° 6, p. 733-736 (1999)
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- Abstract
- An original numerical method is developed to compute the 3D electric potential generated by a dot-contact cuff electrode implanted around an axisymmetrical, inhomogeneous, anisotropic nerve. The technique is based on a 2D finite-element approach coupled with a semi-analytical Fourier spectral decomposition to approximate the solution behaviour in the azymuthal direction. The method only requires a 2D FEM mesh and allows an accurate electrode description, with any number of contacts at different angular positions. Results show that the convergence of the Fourier series is very fast: typically, the relative error due to series truncation (estimated by the norm of the difference between the solution computed with M modes and the one computed with M-1 modes, normalised by the norm of the solution computed with M modes) reaches the order of 10(-3) with six spectral modes (M = 6). As a consequence, the whole algorithm has the complexity of a 2D approach.
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Citations
Parrini, S., Delbeke, J., Romero, E., Legat, V., & Veraart, C. (1999). Hybrid finite elements and spectral method for computation of the electric potential generated by a nerve cuff electrode. Medical & Biological Engineering & Computing, 37(6), 733-736. https://doi.org/10.1007/BF02513375 (Original work published 1999)