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Hybrid finite elements and spectral method for computation of the electric potential generated by a nerve cuff electrode.

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Parrini, S Delbeke, Jean [UCL] Romero, E. Legat, Vincent [UCL] Veraart, Claude [UCL]

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.

Document type Article de périodique (Journal article) – Journal Article, Research Support, Non-U.S. Gov't
Access type Accès restreint
Publication date 1999
Journal information "Medical & biological engineering & computing" - Vol. 37, no. 6, p. 733-6 (1999)
Peer reviewed yes
issn 0140-0118
Publication status Publié
Affiliations UCL - MD/FSIO - Département de physiologie et pharmacologie
UCL - FSA/MECA - Département de mécanique
MESH Subject Computer Simulation ; Electric Stimulation ; Electrodes, Implanted ; Humans ; Models, Neurological ; Nerve Fibers - physiology ; Signal Processing, Computer-Assisted
Links
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Bibliographic reference Parrini, S ; Delbeke, Jean ; Romero, E. ; Legat, Vincent ; Veraart, Claude. Hybrid finite elements and spectral method for computation of the electric potential generated by a nerve cuff electrode.. In: Medical & biological engineering & computing, Vol. 37, no. 6, p. 733-6 (1999)
Permanent URL http://hdl.handle.net/2078.1/8478