title: Modeling extracellular electrical stimulation: II. Computational validation and numerical results.
abstract: The validity of approximate equations describing the membrane potential under extracellular electrical stimulation (Meffin et al 2012 J. Neural Eng. 9 065005) is investigated through finite element analysis in this paper. To this end, the finite element method is used to simulate a cylindrical neurite under extracellular stimulation. Laplace's equations with appropriate boundary conditions are solved numerically in three dimensions and the results are compared to the approximate analytic solutions. Simulation results are in agreement with the approximate analytic expressions for longitudinal and transverse modes of stimulation. The range of validity of the equations describing the membrane potential for different values of stimulation and neurite parameters are presented as well. The results indicate that the analytic approach can be used to model extracellular electrical stimulation for realistic physiological parameters with a high level of accuracy.
authors.affiliation: NeuroEngineering Laboratory, Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC 3010, Australia. bahmant@unimelb.edu.au
authors.forename: Bahman
authors.initials: B
authors.lastname: Tahayori
authors.forename: Hamish
authors.initials: H
authors.lastname: Meffin
authors.forename: Socrates
authors.initials: S
authors.lastname: Dokos
authors.forename: Anthony N
authors.initials: AN
authors.lastname: Burkitt
authors.forename: David B
authors.initials: DB
authors.lastname: Grayden
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004558:Electric Stimulation / Q000379:methods*; D005110:Extracellular Space / Q000502:physiology*; D020342:Finite Element Analysis; D005583:Fourier Analysis; D008564:Membrane Potentials / Q000502:physiology; D008839:Microelectrodes; D008959:Models, Neurological; D016501:Neurites / Q000502:physiology; D015203:Reproducibility of Results