TYPE
Original Research
31 July 2023
10.3389/fnins.2023.1211329
PUBLISHED
DOI
OPEN ACCESS
Single opsin driven white noise
ERGs in mice
EDITED BY
Yoshikazu Imanishi,
Indiana University School of Medicine,
United States
REVIEWED BY
Tasneem Putliwala Sharma,
Indiana University School of Medicine,
United States
Neal Peachey,
Case Western Reserve University, United States
*CORRESPONDENCE
Jan Kremers
[email protected]
RECEIVED 24
April 2023
ACCEPTED 17 July 2023
PUBLISHED 31 July 2023
CITATION
Stallwitz N, Joachimsthaler A and
Kremers J (2023) Single opsin driven white
noise ERGs in mice.
Front. Neurosci. 17:1211329.
doi: 10.3389/fnins.2023.1211329
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© 2023 Stallwitz, Joachimsthaler and Kremers.
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terms.
Nina Stallwitz 1,2, Anneka Joachimsthaler 1,2 and Jan Kremers 1*
1
Department of Ophthalmology, University Hospital Erlangen, Erlangen, Germany, 2 Animal Physiology,
Department of Biology, Friedrich-Alexander-University Erlangen-Nürnberg, Erlangen, Germany
Purpose: Electroretinograms elicited by photopigment isolating white noise
stimuli (wnERGs) in mice were measured. The dependency of rod- and coneopsin-driven wnERGs on mean luminance was studied.
Methods: Temporal white noise stimuli (containing all frequencies up to 20 Hz,
equal amplitudes, random phases) that modulated either rhodopsin, S-opsin or
L*-opsin, using the double silent substitution technique, were used to record
wnERGs in mice expressing a human L*-opsin instead of the native murine
M-opsin. Responses were recorded at 4 mean luminances (MLs).
Impulse response functions (IRFs) were obtained by cross-correlating the wnERG
recordings with the corresponding modulation of the photopigment excitation
elicited by the stimulus. So-called modulation transfer functions (MTFs) were
obtained by performing a Fourier transform on the IRFs.
Potentials of two repeated wnERG recordings at corresponding time points
were plotted against each other. The correlation coefficient (r2repr) of the linear
regression through these data was used to quantify reproducibility. Another
correlation coefficient (r2ML) was used to quantify the correlations of the wnERGs
obtained at different MLs with those at the highest (for cone isolating stimuli) or
lowest (for rod isolating stimuli) ML.
Results: IRFs showed an initial negative (a-wave like) trough N1 and a subsequent
positive (b-wave like) peak P1. No oscillatory potential-like components were
observed. At 0.4 and 1.0 log cd/m2 ML robust L*- and S-opsin-driven IRFs were
obtained that displayed similar latencies and dependencies on ML. L*-opsindriven IRFs were 2.5–3 times larger than S-opsin-driven IRFs. Rhodopsin-driven
IRFs were observed at −0.8 and − 0.2 log cd/m2 and decreased in amplitude with
increasing ML. They displayed an additional pronounced late negativity (N2),
which may be a correlate of retinal ganglion cell activity.
R2repr and r2ML values increased for cones with increasing ML whereas they
decreased for rods. For rhodopsin-driven MTFs at low MLs and L*-opsin-driven
MTFs at high MLs amplitudes decreased with increasing frequency, with much
faster decreasing amplitudes for rhodopsin. A delay was calculated from MTF
phases showing larger delays for rhodopsin- vs. low delays for L*-opsin-driven
responses.
Conclusion: Opsin-isolating wnERGs in mice show characteristics of different
retinal cell types and their connected pathways.
KEYWORDS
electroretinography (ERG), mouse retina, photopigment, silent substitution, temporal
white noise (TWN)
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1. Introduction
spectra that are maximal at 360 nm and 508 nm., respectively. In
Opn1lwLIAIS mice, the native M-pigment is replaced by the human
L-pigment (henceforth called L*-opsin) with a maximal absorption at
561 nm. As a result, the spectral separation with rhodopsin is
increased from about 8 nm (with the native M-opsin) to about 61 nm
(with the L*-opsin). A detailed description of the LIAIS mouse
(Greenwald et al., 2014) and of the usage of silent substitution stimuli
in LIAIS mice can be found in previous publications (Tsai et al., 2015,
2017; Joachimsthaler and Kremers, 2019).
We previously investigated the ERG responses elicited by
luminance TWN stimuli (white noise ERGs; wnERGs) in LIAIS mice
(Stallwitz et al., 2022). We studied the dependency of the IRFs and
MTFs on mean luminance. We also studied the correlations between
wnERGs obtained at identical measurements, describing the
reproducibility of the wnERGs, and at different MLs, giving
information about the underlying ERG generating mechanisms
(Stallwitz et al., 2022). In the present study, we extended these
measurements by using photopigment-isolating TWN stimuli. Thus,
in contrast to the previous study where rods and cones were stimulated
simultaneously, we now stimulated them separately. WnERGs, IRFs
and MTFs to single photopigment isolating TWN stimuli were
obtained and analyzed, thereby giving additional insights to the
contribution of rod- and cone-driven signals. In addition,
reproducibility was studied by comparing ERG waveforms in two
repeated measurements. The underlying ERG generating mechanisms
at different MLs were studied by comparing the waveforms at different
MLs with each other.
The temporal white noise (TWN) stimulus can be an efficient way
of characterizing physiological properties of responding systems
(Marmarelis, 1978). In vision research, this stimulus has been
extensively used in recordings from single neurons (Chichilnisky,
2001; Field et al., 2010). The TWN stimulus has been recently
introduced in ERG measurements, to characterize ERG generating
mechanisms in human subjects (Saul and Still, 2016; Zele et al., 2017;
Adhikari et al., 2019), monkeys (Kremers et al., 2022) and mice (Wang
et al., 2019; Stallwitz et al., 2022).
The TWN stimulus contains changes in luminance and/or
chromaticity that are comparable with those in natural scenes so that
the retina is kept in a physiological mode of operation. The cross
correlation between response and stimulus results in the so-called
impulse response function (IRF), which is the linear approximation
of the system’s response to a flash. The Fourier transform of the IRF
results in the modulation transfer function (MTF), describing the
response of the system to sinewave stimuli of different temporal
frequencies. However, the retina cannot be considered to be linear.
ERGs are often measured to strong flashes in which a large amount of
energy is compressed in a short time. As a result, the retina may
be outside of the normal physiological mode of operation and its
response may contain strong nonlinearities, that may result in
substantial differences between the IRF and the flash ERG. The
advantage of the TWN stimulus is therefore that the retina can
be physiologically characterized when it is optimally functioning for
transmitting visual information. A further advantage of the TWN
stimulus is that it can be combined with the silent substitution
technique and thus can isolate the responses of single photoreceptor
types without changing the state of adaptation, thereby allowing
comparisons of the results with different photoreceptor isolating
stimuli (Kremers et al., 2022). Briefly, by modulating the luminance of
light sources with different emission spectra with identical waveforms
but different contrasts, all pigments, except one, can be silenced so that
their excitations are not modulated (Kremers, 2003). The silent
substitution technique is based on the distinct absorption spectra of
the different photopigments. To obtain a sufficient modulation in
excitation of the respective photopigments with the silent substitution
technique, the absorption spectra of the photopigments should not
overlap too strongly. This is warranted in humans and macaque
monkeys. In mice, however, the absorption spectra of rhodopsin and
middle wavelength sensitive (M-) pigments strongly overlap making
the silent substitution technique less effective. [In the literature, the
expression “photoreceptor response” is often used as synonymous to
“photopigment excitation.” This is allowed for those cases where a
photoreceptor contains only one type of photopigment and when
there is no feedback of other photoreceptor types. The response of the
photoreceptor is then exclusively determined by the excitation in the
photopigment. This may not always be the case (Endeman et al.,
2013). Mouse cones often express two different photopigment types M- and S-opsin – (Lyubarsky et al., 1999; Applebury et al., 2000) so
that their response is determined by the excitation of both pigments.
The silent substitution method only considers pigment excitation. If a
stimulus is silence for one pigment it may not be silence for the other
pigment and therefore not for the concerning cone.] In the native
murine retina, the rods have an absorption spectrum with a maximum
at about 500 nm. Cones contain S- and M-opsins with absorption
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2. Materials and methods
2.1. Animals
All animal experiments were performed in accordance with the
principles regarding the care and use of animals adopted by the
Association for Research in Vision and Ophthalmology (ARVO). The
conductance of these experiments was approved by the local ethics
authorities (Regierungspräsidium Mittelfranken, Ansbach, Germany).
The ERG measurements were performed on Opn1lwLIAIS (LIAIS) mice
which have a C57BL/6 J background. The mutant mice were created
in the lab of Profs. Maureen and Jay Neitz from the University of
Washington [Seattle, WA, United States; Greenwald et al., 2014] from
whom we thankfully could obtain them. They were housed and bred
in the Transgenic Mouse Facility in Erlangen, Germany, where they
were kept in a 12 h light-12 h dark cycle with water and food available
ad libitum.
Mice of the LIAIS strain express a human L-opsin variant instead
of the native murine M-opsin, resulting in a 53 nm shift of spectral
sensitivity of L*-opsins toward longer wavelengths from 508 nm to
561 nm (Jacobs et al., 1991; Sun et al., 1997; Lyubarsky et al., 1999)
with no impact on the structure and function of these cones
(Greenwald et al., 2014; Tsai et al., 2015; Joachimsthaler et al., 2017).
The name LIAIS is based on the amino acids leucine, isoleucine,
alanine, isoleucine and serine on positions 153, 171, 174, 178, and 180
of the L*-opsin variant. These locations are important in determining
the spectral properties of the photopigment. As the gene for the
M-opsin is located on the X chromosome, either hemizygous males
or homozygous females have the L*-pigment and no native
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M-pigment. LIAIS mice express the endogenous murine S-opsin and
rhodopsin in addition to the L*-opsin.
The recordings were performed on the same individual animals
that were used in recording sessions for experiments with luminance
TWN stimuli, the results of which are described in our previously
published study (Stallwitz et al., 2022). Briefly, in total 11 hemizygous
male LIAIS mice at an age between 14 and 20 weeks (mean:
16.35 ± 1.69 weeks of age) were used for recordings. Recordings were
performed in separate sessions (either luminance, rhodopsin-,
S-opsin- or L*-opsin-isolating stimuli) that were at least 1 week apart.
Intrinsic noise recordings were performed on five additional
hemizygous male LIAIS mice (13.14 weeks ±0.35 of age).
In the present study, the LEDs were modulated according to a
double silent substitution to generate a TWN stimulus that isolated the
responses of a single photopigment type (see Figure 1A for a description
of the luminance modulation in each of the three LEDs). Please observe
that the mean luminance of each LED was identical for the three
pigment-isolating conditions. As a result, the ML and mean chromaticity
were the same in each condition and the states of adaptation were also
identical for all three conditions. An R:G:B luminance ratio of 32:32:1
was used resulting in the same mean chromaticity for all conditions. The
ratio was chosen in order to optimize the stimulus strength for each of
the three photopigments, determined by multiplying the pigment
absorption spectra obtained, corrected for pre-retinal absorption, with
the LED emission spectra and integrating over wavelength. An
equivalent description of stimulus calculations in the macaque monkey
was described previously (Kremers et al., 2022). The measurements
were repeated at −0.8, −0.2, 0.4 and 1.0 log phot cd/m2 ML (i.e., 0.16,
0.62, 2.5 and 10 phot cd/m2; equal to −0.127, 0.461, 1.066 and 1.668 log
scot cd/m2). Silent substitution TWN stimuli achieved maximal
photopigment contrasts of 52, 48, and 77% for rhodopsin, L*-opsin and
S-opsin, respectively. However, the mean S-opsin excitation was
between 2 and 3 orders of magnitude weaker than in rhodopsin and
L*-opsin (see Table 1 and Figure 1B). The pigment excitations are
expressed as cone td or rod td, which expresses retinal irradiance
weighted by pigment sensitivity in the human eye. The quantification is
only valid for the mouse eye when assuming that it is isometric with
(i.e., a scaled down version of) the human eye and when the pigment
concentrations in the two eyes are identical. Deviations from these
assumptions may lead to differences in irradiance in absolute but not in
relative terms. A schematic description of the mouse eye was made
previously (Remtulla and Hallett, 1985). The mean pigment excitations
are identical in the three pigment isolating conditions, indicating that
the retina was in an identical state of adaptation, thus enabling
comparison of the results obtained in these conditions. Two
measurements with 300 sweeps each (512 ms stimulation per sweep)
were recorded at all ML levels. These two recordings were used to
analyze the reproducibility of the recordings. For further analysis both
recordings were averaged.
2.2. Preparation
The mice were dark adapted overnight. All further handling was
performed under dim red light. Because of the L*-opsin, cone
responses of LIAIS might be affected by the red light. However, pilot
studies showed that there were no differences between responses of
WT and LIAIS mice performed after red light or infra-red preparation
(Stüwe, Stallwitz, Kremers and Joachimsthaler, unpublished data).
A mixture of 50:10 mg/kg ketamine/xylazine (Ketavet; Pfizer,
Karlsruhe, Germany; Rompun 2%; Bayer AG, Leverkusen, Germany)
was injected intramuscularly to anaesthetize the animals. By applying
drops of tropicamide (Mydriaticum Stulln, 5 mg/mL; Pharma Stulln,
Stulln, Germany) and phenylephrine-hydrochloride (Neosynephrin
POS 5%; Ursapharm, Saarbrücken, Germany) topically, the pupils of
the animals were dilated. A subcutaneous injection of 400 μL saline
(0.9%) prior to the recordings prevented the animals from dehydrating
while being under anesthesia. The animals were placed on a heated
platform during ERG recordings, ensuring maintenance of body
temperature. A needle placed subcutaneously at the base of the tail
served as ground electrode, while another needle placed
subcutaneously and medially to the ears served as reference electrode.
Active contact lens electrodes (Diagnosys LLC, Cambridge,
United Kingdom) were filled with Corneregel (Dr. Mann Pharma,
Berlin, Germany). The electrodes were connected to fibers through
which the stimuli were applied.
2.4. ERG recordings
2.3. TWN stimuli
In each animal, recordings were performed in four separate
sessions: one session for luminance modulation as described in
Stallwitz et al. (2022) and three sessions for opsin-isolating stimuli
described in the present study. The sessions were at least 1 week apart
so that the animals could fully recover from a previous recording. The
recording period (3 weeks between first and last measurements) was
sufficiently short to neglect age effects. In one session, the responses
to TWN stimuli with the same spectral conditions (i.e., modulation of
either luminance, rhodopsin-, S-opsin- or L*-opsin-excitation) were
recorded. To further rule out remaining age effects, the sessions with
the different pigment isolating conditions were randomized for each
mouse. The animal was adapted for 1 min to the ML of the following
stimulus before the recording session started. The first sweep (512 ms)
of each recording was discarded to avoid onset artifacts. The protocols
lasted between 20 and 30 min (for opsin-isolating conditions) and 50
to 60 min for luminance modulation after which the animals were
allowed to wake up.
The detailed description of TWN stimulus can be found in our
previous publication (Stallwitz et al., 2022). Briefly, the TWN stimuli
were created by modulating the luminance outputs of three differently
colored light emitting diodes (LEDs). Each LED was modulated
around a mean luminance. The stimulus was generated by the full field
light guide electrodes of the setup (Diagnosys LLC, Cambridge,
United Kingdom) and the Espion software (Diagnosys LLC,
Cambridge, United Kingdom) controlled the stimulation. The
stimulus was calculated by performing an inverse Fourier transform
of the stimulus in the frequency domain with equal amplitudes of
integer frequencies up to 20 Hz and with random phases at each
frequency [see Figure 1 in Zele et al. (2017)]. No Frequencies above
20 Hz were included in the stimulus, because ERG responses to these
frequencies are very small in mice (Tsai et al., 2015¸ 2017) and
therefore barely contribute to the ERG.
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FIGURE 1
Single opsin driven wnERGs in mice. (A) Single opsin isolating Temporal White Noise stimuli for L*-opsin, S-opsin and rhodopsin shown for 1 ML. TWN
stimuli are generated by three LEDs (red, green, blue). The luminance output of the LEDs are given as a function of time. The lower plots are
enlargements of the blue LED outputs. (B) Photopigment excitation as a function of time for the three silent substitution TWN stimuli. The lower plots
are enlargements of the S-opsin excitations. The excitation of only one pigment is modulated. Furthermore, the modulation form is identical in the
three conditions (although the contrast, i.e., the modulation normalized to the mean excitation, differ in the three conditions; see text). Finally, the
(Continued)
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FIGURE 1 (Continued)
mean excitations are identical in the three conditions, indicating that the states of adaptation are identical in the three conditions. (C) Resulting single
opsin driven wnERGs to silent substitution TWN stimuli for L*-opsin, S-opsin and rhodopsin at four different MLs. Black traces represent mean wnERGs
averaged across all animals, gray areas indicate standard deviations of the measurements obtained from the different animals. Corresponding noise
measurements for each ML are shown as dotted orange lines.
TABLE 1 Silent substitution stimuli settings at the highest ML.
LED
ML Ratio
LED Contrasts
Mean excitation
(Cone or rod td)
Cone or rod
Contrasts
S-opsin isolating conditions
Red
32
29.8495795
S-opsin
0.71
76.98
Green
32
−39.632953a
L*-opsin
533.31
0
Blue
1
100
Rhodopsin
260.67
0
L*-opsin isolating conditions
Red
32
100
S-opsin
0.71
0
Green
32
−1.75725555a
L*-opsin
533.31
48.24
Blue
1
0.34686075
Rhodopsin
260.67
0
Red
32
−75.3197884a
S-opsin
0.71
0
Green
32
80
L*-opsin
533.31
0
Rhodopsin
260.67
51.57
Rhodopsin isolating conditions
Blue
1
a
−15.7952492
a
A negative contrast represents a stimulus with a mirror imaged TWN profile relative to those with a positive contrast (see Figure 1A). The pigment excitations have a positive contrast,
showing that they all have the same temporal profile (i.e., are not mirror imaged relative to each other; see Figure 1B) and only differ in their contrast.
As described in our previous study (Stallwitz et al., 2022) intrinsic
noise measurements were performed on an additional group of five
male LIAIS mice. For intrinsic noise measurements ERG responses to
a steady background at the same ML as the wnERGs were recorded.
These noise measurements were compared with opsin isolating
wnERGs (see above) and to obtain an estimate of signal-to-noise
ratios. After 5 min of adaptation to the first shown ML, responses to
each ML used for the wnERGs were measured. Again, for all MLs two
measurements of 300 sweeps each were recorded. The protocol lasted
around 50 min and the animals were allowed to wake up afterwards.
All ERG recordings were band-pass filtered with 0.125 Hz and
300 Hz cut-off frequencies. The signal was digitized and with a
1,000 Hz sampling frequency.
concerning ML as a function of the potentials at identical time points
obtained at the highest (for cones) and the lowest (for rods) ML. The
linear regression through the plots gave another correlation
coefficient r2ML, quantifying the contribution of cone- and rod-signals
at each ML.
2.5.2. Impulse response functions
The Impulse Response Function (IRF) was obtained by cross
correlating the averaged wnERGs at each ML with the corresponding
photoreceptor excitations as displayed in Figure 1B. Therefore, each
wnERG result was multiplied with the photoreceptor excitation at
each time stamp of the stimulus and summed for all 512 timestamps.
This resulted in the cross-correlation at t = 0 ms. Then, the wnERG was
shifted by 1 ms and cross-correlated again with the stimulus. The
procedure was repeated at in total 257 time points between 0 and
256 ms. The cross correlation as a function of the time shift results in
the IRF. A more detailed description can be found elsewhere (Zele
et al., 2017). The resultant IRFs are shown in Figure 2. The IRFs
display two prominent wave components for all MLs: an initial
negative – N1 – and a following positive – P1 – going component. An
additional second negative trough N2 after P1 at the lowest MLs can
be observed with the rhodopsin-isolating stimuli. The difference
between the baseline (defined as mean of the first 6 ms of recording)
and the first and the second negative trough defined the amplitude of
N1 and N2, respectively. The difference between the first negative
trough N1 and the following positive peak defined the amplitude of
P1. The latencies of the negative and positive components were
defined as the time from t = 0 (no time shift) to the time shifts at the
troughs or peak.
The intrinsic noise measurements were analyzed in an identical
manner as the wnERGs. The definition of a meaningful response or
2.5. Data analysis
2.5.1. Reproducibility and correlations at different
mean luminances
To investigate the reproducibility of the wnERGs, the 1st recordings
of all animals were averaged at each ML and each pigment isolating
condition and the potentials at each time point were plotted against the
averaged potentials at identical time points obtained during the 2nd
recordings. From the linear regressions through each plot, the correlation
coefficients, r2repr, quantified the reproducibility of the recordings. In the
present case, the correlation coefficient varied between 0 and 1, whereby
0 indicated no concordance of both measurements and 1 implied
complete reproducibility of the two recordings.
The underlying mechanisms of recordings at different MLs were
studied by further averaging the 1st and 2nd recordings of all animals
at each stimulus condition and plotting the potentials at the
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FIGURE 2
Single opsin driven Impulse Response Functions and components. Averaged Impulse Response Functions driven by L*-opsin (A), S-opsin (B), and
rhodopsin (C) at four different MLs (black lines) and averaged intrinsic noise signals (dashed orange lines). The gray areas indicate standard deviations.
Wave components: first negative trough: – N1, first positive peak: P1; second negative trough for rhodopsin-driven wnERGs: N2, (arrows). (D) N1 and
P1 Amplitudes and (E) latencies for L*-opsin (magenta squares), S-opsin (blue triangles), rhodopsin (gray diamonds).
IRF component was an amplitude in the wnERG or the IRF
component that was larger than the noise response or component.
Figure 1B shows the corresponding photopigment excitations as a
function of time. The lower plots are enlargements of the S-opsin
excitation. Clearly, S-opsin modulation was only achieved with
S-opsin isolating stimuli. However, the mean excitation was about 750
times weaker than the mean L*-opsin excitation and about 365 times
weaker than the mean rhodopsin excitation (see Table 1). The drawn
curves in Figure 1C are the resulting wnERGs at four different MLs
between −0.8 log cd/m2 (mesopic) and 1.0 log cd/m2 (low photopic)
ML. The data for the L*-opsin-, S-opsin- or rhodopsin-isolating
conditions are shown in the left, middle and right columns,
respectively. The dotted curves are the noise recordings at the
corresponding conditions. Cone-driven wnERGs could not
be obtained at a ML of 0.8 log cd/m2. L*-opsin-driven wnERGs
exceeded noise for all other MLs and their responses increased with
increasing ML. S-opsin-driven wnERGs were hardly visible and hardly
exceeded noise even at the highest ML. These results are not surprising
in face of the abovementioned weak S-opsin mean excitation. In
contrast, rhodopsin-driven wnERGs showed strongest responses at
the lowest MLs (Figure 1C right) and the response decreased to noise
2.5.3. Modulation transfer function
The Modulation Transfer Function (MTF) was obtained by
Fourier transform of the IRF. The MTFs gave the response amplitudes
and phases as a function of temporal frequency. They are equal to the
amplitudes and phases of the linear approximation to sinewave stimuli
with the same temporal frequency. Again, a comparison with actually
measured responses to sinewave stimuli can give an indication about
the involved nonlinearities.
3. Results
3.1. wnERGs to opsin-isolating TWN stimuli
Figure 1A displays the LED luminances as a function of time
during a sweep for each single opsin isolating TWN stimulus.
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level with increasing ML. In agreement with previous findings
(Stallwitz et al., 2022), L*-opsin- and rhodopsin-driven wnERG
waveforms are clearly different.
140 ms in the IRFs for all individual animals. The N2 therefore seems
to be a reliable component of the rhodopsin-driven IRF.
3.3. Correlation coefficients
3.2. Rod- and cone-driven IRFs
To study the wnERG waveforms in more detail, we analyzed their
reproducibility. For each photopigment isolating condition and ML,
two repeated measurements were performed. The 1st and 2nd wnERGs
were each averaged across animals and the potentials at identical time
points during stimulation were plotted against each other (see
Figure 4A for the rhodopsin-driven wnERGs at 0.8 log cd/m2 ML).
The correlation coefficients (r2repr) of the linear regressions through the
data gave a quantification of the reproducibility. We have previously
performed this analysis for luminance TWN stimuli in mice (Stallwitz
et al., 2022) and for luminance and cone-driven wnERGs in macaques
(Kremers et al., 2022). The correlation coefficients are plotted as a
function of ML in Figure 4B for each photopigment isolating stimulus.
Values of r2repr for rhodopsin-driven wnERGs were maximal at low
MLs where r2repr was close to 1, indicating excellent reproducibility.
The single opsin driven wnERGs were cross-correlated with the
corresponding photoreceptor excitation to obtain the photopigment
specific IRFs (Figure 2). In agreement with previous results (Zele
et al., 2017; Kremers et al., 2022; Stallwitz et al., 2022), the IRFs
roughly resembled flash ERGs but lacked components that resembled
oscillatory potentials. Measurable L*- and S-opsin-driven IRFs were
obtained at −0.2 log cd/m2 ML and higher (Figures 2A,B). Particularly
for the lowest ML and for S-opsin-driven IRFs the amplitudes barely
exceeded the values obtained after applying the same procedure on
noise measurements; however, the latencies of the components fitted
with the expected timing so that they were considered to
be significant. With increasing ML from −0.2 log cd/m2 to 1.0 log cd/
m2, the N1 amplitude of the L*-opsin-driven IRF increased by a
factor of 2.17 whereas the P1 amplitude increased by a factor of 2.97
(Figure 2D, filled magenta squares). The N1 latencies decreased from
about 20 to 13 ms and P1 latencies decreased from about 47 to 37 ms
at this ML increase (Figure 2E, open magenta squares). The
amplitudes for S-opsin-driven IRFs remained relatively constant with
increasing ML (Figure 2D, closed blue triangles), but the responses
were also barely above noise level. The latencies decreased with
increasing ML from 20 to 14 ms for N1 and from 58 to 37 ms for P1
(Figure 2E, open blue triangles). The IRFs at −0.2 log cd/m2 ML are
indicative for some rod intrusion in the P1. Maximal S-opsin-driven
amplitudes for P1 were 2.62 times smaller than maximal L*-opsindriven amplitudes despite the larger contrast used for the S-pigment
(see Table 1). The N1 and P1 latencies were similar for L*- and
S-pigment isolating stimuli although, as mentioned above, the P1
latency at −0.2 log cd/m2 ML indicates that rod responses may
have intruded.
At the lowest ML of −0.8 log cd/m2 only rhodopsin-driven IRFs
were above noise (Figure 2C). At 0.4 and 1.0 log cd/m2 ML, the
rhodopsin-driven IRFs resembled the cone opsin-driven IRFs but
with inverted polarity.
Rhodopsin-driven IRF components were largest at the lowest MLs
and the amplitudes decreased with increasing ML (Figure 2D, gray
diamonds). N1 and P1 latencies were about 32 ms (N1) and 60 ms (P1)
for rhodopsin-driven IRFs at −0.8 and − 0.2 log cd/m2 ML (Figure 2E,
open gray diamonds). The amplitudes and latencies at the two highest
MLs are not shown in Figures 2D,E due to the abovementioned
cone intrusion.
Rhodopsin-driven IRFs show a substantial additional late negative
trough (N2) after the P1 (Figure 2C, marked with arrows). The
component is only visible for the two lowest intensities with a latency
of 122 ms at −0.8 log cd/m2 ML and of 111 ms at −0.2 log cd/m2
ML. This N2 component is remarkably large and its amplitude
decreased from 0.045 μV*cd/m2 at −0.8 log cd/m2 ML to 0.011 μV*cd/
m2 at −0.2 log cd/m2 ML.
To study if the N2 component is a general feature in all animals
the individual IRFs at 0.8 log cd/m2 ML are shown in Figure 3. The N2
component is prominently present within an interval between 105 and
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FIGURE 3
Rhodopsin-driven IRFs of the individual animals at −0.8 log cd/m2
ML. The gray square indicates the time window in which the N2
appeared.
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FIGURE 4
Correlation coefficients. (A) Potentials of two identical wnERG recordings are plotted against each other. From the linear regressions through the data,
correlation coefficient r2repr were obtained to quantify the reproducibility of measurements. (B) r2repr correlation coefficients for different opsin isolating
conditions (gray diamonds for rhodopsin, magenta squares for L*-opsin, blue triangles for S-opsin) given as a function of ML. (C) Plots of the potentials
obtained from rhodopsin-driven wnERGs recordings as a function of the potentials obtained at −0.8 log cd/m2. From the linear regressions through
the data correlation coefficient r2ML were obtained that quantified the similarity of the signals at different MLs and thus also the similarity of the
underlying ERG-generating mechanisms. (D) r2ML values for all three opsin isolating conditions (gray diamonds for rhodopsin, magenta squares for
L*-opsin, blue triangles for S-opsin) given as a function of ML. The values of rhodopsin-driven wnERGs at 0.8 log cd/m2 and of cone opsin-driven
wnERGs at 1.0 log cd/m2 are, by definition, 1.0 because these are obtained from correlations between identical signals and thus not informative.
r2repr decreased with increasing ML to 0.006 at 0.4 log cd/m2, indicating
an absence of reproducibility. L*-opsin-driven wnERGs showed
increasing reproducibility with increasing ML from 0.1 at 0.8 log cd/
m2 ML to 0.65 at 1.0 log cd/m2 ML. Reproducibility of S-opsin-driven
wnERGs was minimal at −0.2 log cd/m2 ML and r2repr had a maximal
value of 0.45 at 1.0 log cd/m2 ML. r2repr values were significant (p < 0.05)
for all correlations except for rhodopsin at a ML of 0.4 log cd/m2
(p = 0.07).
As shown in Figure 1C, the L*-opsin- and rhodopsin-driven
wnERG waveforms differed strongly. To study the mechanisms
underlying the wnERGs, the results of the first and second
measurements at each ML were averaged. We then obtained the
correlation coefficient (r2ML) from the linear regressions of the plots of
the potentials of the rhodopsin-driven wnERG at a given ML vs. the
Frontiers in Neuroscience
potentials at the lowest ML (see Figure 4C). The potentials of cone
opsin-driven wnERGs at each ML were plotted against those obtained
at the highest ML (see Supplemental material). Figure 4D shows the
r2ML values for rhodopsin, L*-opsin and S-opsin isolating stimuli. r2ML
values of rhodopsin-and opsin-driven wnERGs show a contrary
dependency on ML: whereas r2ML values decreased, from 0.15 to 0,
with increasing ML for rhodopsin-driven ERGs, those of opsin-driven
wnERGs increased with increasing ML from around 0 to about 0.35.
Except for S-opsin at a ML of −0.8 log cd/m2 (p = 0.42) and L*-opsin
at a ML of −0.2 log cd/m2 (p = 0.2) all correlations regarding r2ML
values were significant (p < 0.05). As mentioned above, L*-opsin- and
rhodopsin-driven wnERGs differ strongly. To demonstrate the
different mechanisms contributing to signals for L*-opsin- and
rhodopsin-isolating stimulus rhodopsin-wnERGs at the lowest ML
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were correlated with L*-opsin-wnERGs at the highest ML (i.e., those
conditions that resulted in the largest response). The resulting r2 value
is 4.09 x 10-6 (p = 0.96), indicating no similarities between the two
responses. In contrast, when correlating L*-opsin-wnERGs at the
highest ML to S-opsin-wnERGs at the highest ML, the resulting r2 is
0.2 (p < 0.05), indicating moderate similarity between the two results.
In our previous study we suggested that wnERGs to luminance
stimuli are rhodopsin-driven at low MLs and opsin-driven at high
MLs (Stallwitz et al., 2022). Since the luminance wnERGs and singleopsin-driven wnERGs were measured within the same individual
animals, we addressed this hypothesis by correlating luminance and
photopigment-driven wnERGs. The correlation of rhodopsin-driven
and luminance wnERGs at their lowest ML (−0.8 log cd/m2 for
rhodopsin isolation and − 0.7 log cd/m2 for luminance modulation)
had an r2 of 0.37 (p < 0.05), indicating moderate similarities between
the two. Furthermore, the correlation between L*-opsin-driven and
luminance wnERGs at the highest ML (1.0 log cd/m2 and 1.1 log cd/
m2 for L*-opsin and luminance modulation, respectively) gave a r2
value of 0.69 (p < 0.05), proving that luminance wnERGs at high MLs
were indeed L*-opsin-driven. We should stress that the photopigment
isolating stimuli and the luminance stimuli had different
chromaticities. This may have affected the correlations of the wnERGs
obtained with the two conditions.
regressions (on average − 29.7 °/Hz for rod-driven MTFs and − 13.85
°/Hz for cone-driven MTFs) are proportional to the apparent delay
time. The apparent delays are displayed as a function of ML in
Figure 5C. The delays were about 82.5 ms for rhodopsin-driven
responses and about 37.7 ms for L*-opsin-driven responses. Directly
measured cone-driven MTFs, obtained from responses to sinewave
stimuli, resulted in apparent delays between 33 and 42 ms (Tsai et al.,
2015, 2017) which is very similar to the delays found here. On the
other hand, rod-driven sinewave responses at low luminances had
apparent delays between 40 and 53 ms (Tsai et al., 2017), which is
substantially smaller than the delays found in the present study.
We propose that this is caused by the large N2 component in the IRFs.
An equivalent of this component may be absent in the responses to
sinewave stimuli.
4. Discussion
The purpose of the present study was to describe the IRFs and
MTFs driven by single photopigments in the mouse retina at different
mean luminances. The main findings were: (1) The presence of a
pronounced late component (N2) in the rhodopsin-driven IRFs, (2)
The presence of rhodopsin-driven IRFs at high luminances that
resemble inverted cone opsin-driven IRFs, (3) Comparisons with
luminance-driven wnERGs and IRFs show similarities with
rhodopsin-driven responses at low luminances and with cone opsindriven responses at high luminances. We further compare the mouse
IRFs and MTFs with those obtained in primates.
3.4. Modulation transfer function
MTFs represent the amplitudes and phases of the responses of a
linear system’s approximation to sinewave stimuli as a function of the
temporal frequency. They are obtained by performing a Fourier
transform on the IRFs.
Figure 5A presents the amplitudes of rhodopsin and L*-opsindriven signals as a function of temporal frequency. We only show the
MTFs of L*-opsin-driven responses at high MLs and of rhodopsindriven responses at low MLs because their IRFs were significantly
above noise. Rhodopsin-driven MTFs show a gradual amplitude
decrease up to 20–30 Hz. Also shown are noise amplitudes obtained
from Fourier transform on IRFs from noise wnERGs. It can be seen
that the amplitudes are larger than noise for frequencies up to about
20 Hz. L*-opsin-driven MTFs at 0.4 log cd/m2 ML had amplitudes that
were relatively constant between 7 and 17 Hz and decreased at higher
frequencies. The amplitudes obtained at 1.0 log cd/m2 ML showed a
band-pass characteristic with a maximum at about 7 Hz. The L*-opsindriven responses were substantially larger than noise for frequencies
up to about 30 Hz.
The phases of the MTFs are plotted vs. temporal frequency in
Figure 5B. All phases are plotted but we used only the phases where
the amplitudes were above noise (i.e., up to 20 Hz and 30 Hz for
rhodopsin-and L*-cone-driven responses respectively; closed
symbols) for further analysis. The open symbols are phases at
frequencies where the SNR ratio was too small to be regarded as a
reliable signal. These phases were excluded from further analysis.
Phases of rhodopsin-driven MTFs decreased in an approximately
linear manner up to a frequency of 20 Hz. Phases of L*-opsin-driven
MTFs decreased also linearly up to 30 Hz. A linear relationship
between phase vs. frequency plots indicates the presence of a fixed
time delay in the responses. In that case, the slopes of the linear
Frontiers in Neuroscience
4.1. Mouse rod (rhodopsin) driven IRFs and
MTFs
We measured rod (rhodopsin) driven IRFs and MTFs in the LIAIS
mice. As expected they were largest at low luminances. The IRFs
displayed a N1 and a P1 component but with substantially longer
delay times than those of L*- and S-opsin-driven IRFs (N1: 30 ms for
rod-driven IRFs vs. 15–20 ms for cone-driven IRFs; P1: 60 vs.
35–45 ms for rod- and cone-driven IRFs respectively; see Figure 2).
This was also found for the a-and b-waves in the mouse flash ERG
(Falk et al., 2019; Ryl et al., 2021).
Interestingly, the rod-driven IRFs displayed a very prominent late
negative component (N2) particularly at the lowest ML (−0.8 log cd/
m2; Figure 2) and that could be consistently measured in individual
animals (Figure 3). This component was also prominently present in
luminance-driven mouse IRFs at low MLs (Stallwitz et al., 2022). It
possibly is related to the STR (Saszik et al., 2002), which has been
proposed to reflect ganglion cell activity (Saszik et al., 2002; AlarconMartinez et al., 2010; Porciatti, 2015). The latency of the N2 (122 ms
at −0.8 log cd/m2 ML and 111 ms at −0.2 log cd/m2 ML) is shorter
than the 200 ms latency of the negative STR and similar to the 110 ms
delay of the positive STR (Saszik et al., 2002).
The rod-driven IRFs and the N2 component are easy to obtain
with TWN stimuli. Furthermore, since the whole recording period
is used for calculating the IRFs, opposed to time windows after a
flash, and since, in contrast to flashes, no interstimulus time intervals
are necessary, the N2 component can be reliably obtained with a
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FIGURE 5
Modulation Transfer Functions for rhodopsin and L*-opsin driven wnERGs. Response amplitudes (A) and phases (B) as function of temporal frequency
shown separately for different MLs. Rhodopsin-driven MTFs are only shown for the two lowest MLs whereas L*-opsin-driven MTFs are shown for the
two highest MLs (as indicated above the graphs). Closed symbols indicate responses where the phases were used for linear regression. (C) Calculated
time delays for rhodopsin (gray diamonds) and L*-opsin (magenta squares) at different MLs. The MTFs are based on the IRFs obtained from the
averaged wnERGs.
large signal-to-noise ratio. Therefore, the N2 component may be a
very interesting biomarker for retinal ganglion cell activity. The
apparent latency of the rod-driven responses at low luminances,
obtained from the phase plot of the MTFs, was about 82.5 ms,
confirming that the MTF was to a large extent determined by the N2
component. It further was substantially larger than the apparent
latencies (between 40 and 53 ms) estimated from direct ERG
recordings to rod-isolating sinewaves at low luminances (Tsai et al.,
2017). This indicates that homologs to the N2 component are not
present in the sinewave responses. The N2 component is neither
present in mouse flash ERGs. Possibly, the large contrasts used in the
flash stimuli drive the N2 generating mechanisms into saturation
that is not present with the subtler TWN stimuli, that resemble
Frontiers in Neuroscience
natural scenes more closely, and that keep the retina in a more
responsive state.
4.2. Rod-driven IRFs show characteristics
of cone IRFs at high mean luminances
Rod-driven IRFs at high MLs could be measured (Figure 2C).
These IRFs resembled inverted cone-pigment-driven ERGs. Such
inverted responses at high luminances were previously found to
rod-isolating sinewave stimuli (Tsai et al., 2015, 2017). The origin of
this response is still unclear. We cannot exclude the possibility that
this response is a residual cone-driven response due to errors in the
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calculations of the silent substitution conditions caused by inherent
assumption that had to be made. The origin of the error cannot
be caused by deviations in the spectral properties of the stimulators
because in the present recordings a different stimulator was used
compared to the previous experiments. Errors in the estimated
pigment fundamentals, caused by variability in the absorption
spectra and in pre-retinal filtering, could play a role. However, the
inverted cone-like rhodopsin-driven IRFs are only slightly smaller
than directly measured L*-opsin-driven IRFs. It is unlikely that the
error would result in a cone opsin excitation modulation that is only
slightly smaller than in the direct stimulation. We therefore propose
that the inverted cone-driven IRF originates in a physiological
interaction between rods and cones. Rods and cones are connected
through gap junctions (Ishibashi et al., 2022) that, however, involve
sign conserving signal transfer whereas the inverted IRFs suggests a
sign-inversion. Another possibility is a sign-inverting interaction
through horizontal cells that have been described before (Szikra
et al., 2014).
positive deflection P1 – possibly homolog to the flash ERG b-wave.
Oscillatory potential-like components were absent in cone-driven
mouse and macaque IRFs. Similar IRFs were found for luminance
stimuli in mice (Stallwitz et al., 2022), macaques (Kremers et al., 2022)
and humans (Zele et al., 2017).
The L-cone-driven IRFs in macaques showed an additional positive
peak (P2). In M-cone-driven IRFs the N1 and P1 components were very
small but they displayed the P2 component. Kremers et al. (2022)
attributed the N1 and P1 components to activity of the luminance
sensitive magnocellular retino-geniculate pathway that is L-cone
dominated. The P2 component was attributed to activity of the
red-green color sensitive parvocellular pathway in which L-and M-cone
signal strengths are more balanced. If this proposal were true then one
would expect that the P2 component is absent in dichromatic mice that
lack the red-green opponent pathway. This is indeed the case.
The N1 component of L*-opsin-driven IRFs in mice had peak
times of 15–20 ms. This is similar to the peak times of the N1 delays
in macaques (about 15 ms). However, the P1 components had peak
times between 35 and 45 ms in the mice which is substantially larger
than the P1 delay in macaques (about 20 ms). Similar delay differences
could also be found in the phase plots of L*-opsin-driven MTFs: the
estimated apparent delay was 37.7 ms for mice and 19.4 ms for
macaques. Please observe that the delays obtained from the MTFs
closely match those of the P1 components for both species.
Furthermore, the delays obtained from the mice closely match the
delays that were obtained in LIAIS mice with sinewave stimuli (Tsai
et al., 2015, 2017). These results indicate that the apparent delays are
mainly determined by the P1 component. The difference between P1
peak times in mice and macaques is a further indication that the P1 is
probably homolog to the b-wave in flash ERGs, because the b-wave
has longer peak times in mice compared to primates [Frishman and
Wang, 2011; mice ~50 ms (Ryl et al., 2021); human ~30 ms (Hui et al.,
2018); monkey ~40 ms (Bouskila et al., 2014)].
4.3. Comparison with luminance wnERGs
in LIAIS mice
We correlated wnERGs obtained with opsin-isolating stimuli
with luminance wnERGs in the same animals. Despite differences
in mean luminances and chromaticities, luminance and L*-opsindriven wnERGs were correlated at high MLs indicating that the
luminance responses were nearly exclusively cone-driven without
substantial intrusion from the rods. Rod- and luminance-driven
responses at low MLs were moderately correlated with each other,
again indicating that the luminance responses are mainly
rod-driven. The luminance IRFs also showed the N2 component
(Stallwitz et al., 2022), although less pronounced in comparison
with the rod-driven IRFs.
R2ML values describe the resemblance of wnERGs obtained at
different MLs. The results indicate that rods respond best at lower
luminances while cones are sensitive at higher luminances. This
underlines what can already be seen in Figure 1C, where waveforms
change for all single opsin-driven wnERGs with changing ML. There
was little overlap in the luminance ranges where rods and cones were
simultaneously sensitive, indicating the absence of a mesopic region
in mice. This was also found in the responses to sinusoidal stimuli
(Tsai et al., 2017). It therefore can be concluded that in mice, rod- and
cone-driven responses can be obtained by using low and high MLs,
respectively.
Data availability statement
The raw data supporting the conclusions of this article will
be made available by the authors, without undue reservation.
Ethics statement
The animal study was reviewed and approved
Regierungspräsidium Mittelfranken, Ansbach, Germany.
Author contributions
4.4. Comparison between L-cone
photopigment driven IRFs and MTFs in
mice and macaques
NS: planning and performance of the experiments, data
analysis, interpretation of results, and writing and editing of the
manuscript. AJ: conception and design of the study, planning of the
experiments, data analysis, and interpretation of results. JK:
conception and design of the study, construction of the stimuli, data
analysis, interpretation of results, and writing and editing of the
manuscript. All authors contributed to the article and approved the
submitted version.
Cone photopigment driven wnERG measurements were recently
performed in macaques (Kremers et al., 2022). The results were
analyzed in a similar manner as the cone-opsin-driven wnERGs in the
mice. Superficially, the L-cone-driven IRFs in mice and macaques
showed similar features with an initial negative deflection N1 –
possibly homolog to the flash ERG a-wave – that is followed by a
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by
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Funding
This study was funded by the German Research Council (DFG)
grant KR1317/17-1.
organizations, or those of the publisher, the editors and the
reviewers. Any product that may be evaluated in this article, or
claim that may be made by its manufacturer, is not guaranteed or
endorsed by the publisher.
Conflict of interest
Supplementary material
The authors declare that the research was conducted in the
absence of any commercial or financial relationships that could
be construed as a potential conflict of interest.
The Supplementary material for this article can be found online
at: https://www.frontiersin.org/articles/10.3389/fnins.2023.1211329/
full#supplementary-material
SUPPLEMENTARY FIGURE 1
Correlations between cone-driven wnERGs at different MLs. Plots of the
potentials obtained from L*-Opsin-driven wnERG recordings as a function of
the potentials obtained at the highest ML of 1.0 log cd/m2. The linear
regressions through the data gave the correlation coefficients r2ML that
quantified the similarity of the signals at different MLs. Correlation
coefficients are shown in Figure 4D.
Publisher’s note
All claims expressed in this article are solely those of the
authors and do not necessarily represent those of their affiliated
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