Application of the Three-Channel Lissajous Trajectory of Auditory Brainstem-Evoked Potentials to the Question of Generators1: Application des trajectories de Lissajous à trios canaux des potentials évoqués auditifs à l'étude des générateurs

Abstract

In studies of generators of auditory brainstem-evoked potentials (ABEP), depth recordings and clinical correlates may not reflect all the activity involved. Although the 'inverse problem' is mathematically ill-posed, a synthesis of physico-anatomical data with a three-channel Lissajous trajectory (3CLT) may indicate the actual number and identity of generators. A 3CLT of ABEP in three-dimensional voltage space, is isomorphic with the vector tip representing the momentary centrally located dipole in a uniform, spherical volume conductor. This isomorphism enables approximations of ABEP dipole equivalents to be made. 3CLT summarizes the surface activity in a single plot. It accentuates correlations within the orthogonal records, such as planarity of segments, allowing segmentation of the analysis epoch into components. These properties of 3CLT simplify the analysis of parametric effects on the surface distribution of ABEP components. The results of applying this technique indicate the experimental conditions under which the assumptions for the approximation of generators are closest to being fulfilled. Of all the points along the trajectory, apices (points with maximum absolute amplitude and curvature) have the most unique generators. The 3CLT to low-intensity and high-rate clicks, indicate more unique generators than the customarily used high-intensity slow-rate clicks, in which considerable temporal overlap of generator activity exists.