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A new interpretation of components in the ERG signals to sine wave luminance stimuli at different temporal frequencies and contrasts

Published online by Cambridge University Press:  26 August 2010

GOBINDA PANGENI
Affiliation:
Department of Ophthalmology, University Hospital Erlangen, Erlangen, Germany
FOLKERT K. HORN
Affiliation:
Department of Ophthalmology, University Hospital Erlangen, Erlangen, Germany
JAN KREMERS*
Affiliation:
Department of Ophthalmology, University Hospital Erlangen, Erlangen, Germany School of Life Sciences, University of Bradford, Bradford, UK
*
*Address correspondence and reprint requests to: Jan Kremers, Department of Ophthalmology, University of Erlangen-Nuremberg, Schwabachanlage 6, 91054 Erlangen, Germany. E-mail: jan.kremers@uk-erlangen.de
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Abstract

Full-field electroretinograms were recorded from five normal human subjects using white light (mean luminance: 250 cd/m2) sine wave stimuli at different frequencies and contrasts. In agreement with previous studies, we found that the amplitude of the fundamental component displayed a dip at about 12 Hz, coinciding with a maximum in the second harmonic component, indicating frequency doubling of the responses. By including measurements at different contrasts, we were able to recognize two (sine-like and transient) response components. We found that the waveform of the transient response was relatively frequency independent. An algorithm to separate the two components was developed. The interaction between these two components can explain the frequency-doubled responses around 12 Hz. The sine-like component is more linear and prominent in the low-frequency region, whereas the transient seems to be more nonlinear and prominent in the high-frequency region.

Information

Type
Research Articles
Copyright
Copyright © Cambridge University Press 2010
Figure 0

Fig. 1. Examples of ERG recordings to photopic sine wave luminance stimuli at different frequencies and contrasts. (A) Waveforms elicited to sine wave stimuli modulated at four different contrasts (100, 75, 50, and 25%) and at seven different temporal frequencies (2, 4, 8, 12, 16, 24, and 36 Hz). Each trace represents a segment equivalent to 500-ms recording duration. The arrows point at the transient response components. (B) Waveforms elicited to sine wave stimuli modulated at 100% contrast at temporal frequencies ranging from 48 to 120 Hz.

Figure 1

Fig. 2. Fundamental (A) and second harmonic (B) components of response waveforms obtained after Fourier analysis given as a function of temporal frequency plotted separately for different contrasts. Filled circles represent the plot for 100% contrast, open circles for 75% contrast, filled triangle for 50% contrast, and the open triangles for 25% contrast. Error bars represent the s.d. The amplitude plot is double logarithmic; the phases are plotted in a linear-log way. The dotted lines represent the amplitude of noise measured at 0% contrast.

Figure 2

Fig. 3. Results of a PCA on responses at different contrasts. In the PCA, it is assumed that the same constituting components determine the responses at all contrasts and that the waveform and timing of the components are not changed. The overall amplitude of each component is varied to describe the original responses. The original responses at different contrasts were normalized so that they all have the same s.d.s. The PCA was repeated for responses at four different temporal frequencies. Each PCA returned nine components. The four main components are displayed. Although sine-like and transient components can be detected at 4 Hz (components #1 and #4 respectively), 8 Hz (#2 and #4), and 12 Hz (#2 and #3), the PCA does not completely separate components (8 and 12 Hz components #1) and is influenced by drift (4 Hz #2 and #3; 8 Hz #3; and 12 Hz #4). The 24-Hz response is mainly determined by one component.

Figure 3

Fig. 4. Original responses at 100% contrast (left column) and at a lower contrast (middle column; 50% contrast for 4- and 8-Hz stimuli; 35% at 12 Hz). The responses at the lower contrasts were amplified to the same peak-to-peak values as in the 100% contrast responses at the same frequency. The right column displays the subtraction of the low-contrast responses from the 100% contrast responses. Note that the waveforms of the subtractions at 4 and 8 Hz resemble the 100% contrast response at 12 Hz and are more dominated by the transient response. The 50% contrast responses are strongly dominated by the sine-like component. The subtraction at 12 Hz resembles the 100% contrast responses at 4 and 8 Hz and contains substantial sine-like components. The 12 Hz, 35% contrast response is strongly dominated by the transient component.

Figure 4

Fig. 5. (A) One period of a 100% contrast responses at different temporal frequencies. The positions of the minima of the putative transient components were shifted to coincide. The transient components do not become broader as temporal frequency increases. (B) The same plot as in (A). But now the waveforms were normalized to have the same amplitude to the second maximum at the end of the transient response.

Figure 5

Fig. 6. An illustration of the method to extract sine-like and transient components from the measured responses. Here, a 4-Hz response is displayed. (A) The original response waveform obtained from one of the subjects. (B) Four transient components are evenly distributed (i.e., with 250-ms intervals in this case) over the 1-s recording episode. (C) The transient components are aligned along the time axis. This was performed by eye. (D) The amplitude of transient components is changed and each individual component is shifted vertically to fit optimally with the measured response. The fitting procedure was performed by the solver routine of the Excel 2003 program. (E) An overlay of the original response and the fitted transient components (dashed line). (F) The subtraction of the transient component from the original recording gives the isolated sine-like component.

Figure 6

Fig. 7. Original responses measured in subject G.P. Temporal frequencies: 4, 8, 12, and 16 Hz. 100 and 75% contrast responses are shown at each temporal frequency. The lower plots display the original responses after subtraction of the transient components. These are the putative sine-like components.

Figure 7

Fig. 8. Logarithm of the amplitude of the sine-like (A) and transient (B) components plotted as a function of the logarithm of the temporal frequency. The amplitudes are plotted separately for the different stimulus contrasts. Observe the large differences (by a factor of up to about 20) between the 75 and 100% contrast transient response amplitudes at low temporal frequencies. At high temporal frequencies, the effects of contrast increase from 75 to 100% are much smaller.

Figure 8

Fig. 9. Amplitudes of the sine-like (upper plots) and transient (lower plots) components plotted as a function of contrast. The amplitudes of sine-like component for 4-, 8-, and 12-Hz stimuli are plotted. The transient component measured at 4, 8, 12, 24, and 48 Hz is plotted. The error bars represent the s.d. In the right plots, the response amplitudes were normalized to the response amplitude at 100% contrast.