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Fig. 3 | Theoretical Biology and Medical Modelling

Fig. 3

From: Deconvolution of the vestibular evoked myogenic potential using the power spectrum of the electromyogram

Fig. 3

Simulation using a model with double-peaked rate modulation and slightly asymmetric MUAP. The theoretical functions are shown as grey curves in the background. The time domain is considered on the left, the frequency domain on the right. The black curves in c and e were obtained by analysing Monte Carlo simulated data. They show the estimated VEMP and the square root of the normalized EMG power spectrum, respectively. The latter is used as a surrogate for the modulus of the Fourier transform of the MUAP. The rate modulation shown in a and d was estimated by minimizing the cost function Q 2,1 (see Eq. (16)). Loosely speaking, the rate modulation was chosen so that the frequency-domain representation of the predicted VEMP (shown as a dotted (red) curve in f) optimally corresponded to the modulus of the Fourier transform of the measured VEMP (black curve). Deconvolution of the measured VEMP with the estimated rate modulation yielded an estimate of the MUAP (dashed curve in b)

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