 |
| Volume 2, Number 8, Article 1, Pages 531-542 |
doi:10.1167/2.8.1 |
http://journalofvision.org/2/8/1/ |
ISSN 1534-7362 |
Estimates of L:M cone ratio from ERG flicker photometry and genetics
Joseph Carroll |
Department of Cell Biology, Neurobiology & Anatomy, Medical College of Wisconsin, Milwaukee, WI, USA |
|
Jay Neitz |
Department of Cell Biology, Neurobiology & Anatomy and Department of Ophthalmology, Medical College of Wisconsin, Milwaukee, WI, USA |
|
Maureen Neitz |
Department of Ophthalmology and Department of Cell Biology, Neurobiology & Anatomy, Medical College of Wisconsin, Milwaukee, WI, USA |
|
Abstract
Estimates of L:M cone ratio for males with normal color vision were derived using the flicker-photometric electroretinogram (ERG). These were obtained by best fitting ERG spectral sensitivity functions to a weighted sum of long (L)- and middle (M)-wavelength-sensitive cone spectral absorption curves. Using the ERG, measurements can be made with extremely high precision, which leaves variation in the wavelength of maximal sensitivity (λmax) of the cone photopigments as the major remaining source of inaccuracy in determining the ratio of cone contributions. Here that source of inaccuracy was largely eliminated through the use of individualized L-cone spectral absorption curves deduced from L-pigment gene sequences. The method was used on 62 normal males as part of an effort to obtain a true picture of how normal variations in L:M cone ratio are distributed. The percentage of L cones in the average eye was 65%L [where %L = 100 X L / (L+M)]. There were huge individual differences ranging from 28%–93%L, corresponding to more than a 30-fold range in L:M ratio (0.4–13). However, the most extreme values were relatively rare; 80% of the subjects fell within ±15 %L of the mean, corresponding to a 4-fold range in L:M ratio (1–4). The method remedies major weaknesses inherent in earlier applications of flicker photometry to estimate cone ratio; however, it continues to depend on the assumption that the average L cone produces a response with an identical amplitude to that of the average M cone. A comparison of the ERG results with the distribution of cone ratios estimated from cone pigment messenger RNA in cadaver eyes indicates that the assumption generally holds true. However, there may be a small number of exceptions in which individuals have normally occurring (but relatively rare) amino acid substitutions in one of their pigments that significantly affect the physiology of the cone class containing that pigment, so as to reduce the amplitude of its contribution to the ERG. Consistent with this possibility, extreme cone contribution ratios were found to be associated with atypical L-pigment amino acid combinations.
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History
Received January 31, 2002; published November 22, 2002
Citation
Carroll, J., Neitz, J., & Neitz, M. (2002). Estimates of L:M cone ratio from ERG flicker photometry and genetics.
Journal of Vision, 2(8):1, 531-542,
http://journalofvision.org/2/8/1/,
doi:10.1167/2.8.1.
Keywords
color vision, L:M cone ratio, cone photopigments, electroretinogram, ERG, opsin genes
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An electroretinogram (ERG) adaptation of a standard
psychophysical method, flicker-photometry, has been used previously to measure
spectral sensitivity ( Jacobs, Neitz,
& Krogh, 1996). This technique has
been used extensively to assess the photopigment complements in a wide variety
of animals ( Jacobs, 1993; Jacobs, Deegan, Neitz, Murphy, Miller, &
Marchinton, 1994; Jacobs, Deegan, &
Neitz, 1998; Carroll, Murphy, Neitz,
VerHoeve, & Neitz, 2001; Jacobs,
Deegan, Tan, & Li, 2002). From ERG spectral sensitivity functions, under
the appropriate chromatic adaptation conditions, it has been possible to
determine the number of different cone types in an individual (e.g., Jacobs, Neitz, Deegan, &
Neitz, 1996), and in monochromatic and dichromatic individuals, the values
of the spectral peaks of the photopigments can be determined (e.g., Carroll, McMahon, Neitz, & Neitz, 2000). Two
of the greatest advantages of the technique are that it is extremely efficient,
making it possible to make a large number of measurements in relatively little
time, and the individual measurements are highly precise. Both of these merits
make the technique attractive for obtaining spectral sensitivity measurements
from trichromatic eyes for use in estimating the ratio of long (L)- to middle
(M)-wavelength-sensitive cones. Estimates of cone contribution ratio made by
obtaining the best fit of a weighted sum of L- and M-cone absorption curves
require extremely precise measurements, because very small errors in spectral
sensitivity lead to large errors in the cone ratio estimate. For example, a
change in L:M ratio from 2:1 to 3:1 predicts an increase in relative sensitivity
to long wavelengths of no more than 0.05 log units ( Carroll et al., 2000).
Previously, the flicker ERG and psychophysical flicker
photometry have been shown to give similar estimates of L:M cone ratio ( Chang, Burns, & Kreitz, 1993). One goal of
experiments in which ERG flicker-photometric measurements were used to make
inferences about L:M cone ratio was to investigate differences in cone ratio
between humans ( Jacobs & Neitz, 1993)
and other primate species ( Jacobs, Deegan,
& Moran, 1996; Jacobs & Deegan,
1997). However, the full potential of the ERG as a method for examining
individual differences in cone ratio has not been exploited. One reason is that
even though ERG flicker photometric measurements can be made with extremely high
precision, in the case of humans, large individual differences in the
λ max of the L-cone photopigment remain as a significant source
of inaccuracy in determining cone ratio from spectral sensitivity measurements
for individual subjects ( Bieber, Kraft, &
Werner, 1998). To remedy this problem, we recently developed a method
intended to remove this source of error using individualized photopigment
spectra in the analysis of each subject’s ERG-derived spectral sensitivity
data ( Carroll et al., 2000).
Previously, direct imaging of the cone mosaic using
adaptive optics demonstrated that there can be large differences in L:M cone
ratio among males with normal color vision ( Roorda
& Williams, 1999; Brainard et al.,
2000). However, with so few subjects tested, there is little indication of
how the variation is distributed in the population. Here we combine the
techniques of ERG and genetics to obtain estimates of L:M cone ratio in 62 color
normal males. From earlier psychophysical studies ( DeVries, 1946; DeVries, 1948; Rushton & Baker, 1964; Cicerone & Nerger, 1989; Vimal, Pokorny, Smith, & Shevell, 1989; Pokorny, Smith, & Wesner, 1991), there has
been disagreement about the range of variation. Estimates of the range of L:M
ratio in the population vary from about 1.3 – 2.5 ( Cicerone, 1990; Otake & Cicerone, 2000) to about 0.5
– 10.0 ( Vimal et al., 1989; Kremers, Scholl, Knau, Berendschot, Usui, &
Sharpe, 2000). Here we have measured a large sample using a method designed
to have low error; thus, it should give a good representation of the true range
and distribution of cone ratios in the population. In cadaver eyes, it is
possible to efficiently estimate cone ratio through the analysis of messenger
RNA levels ( Yamaguchi, Motulsky, & Deeb,
1997; Hagstrom, Neitz, & Neitz,
1998), and this also has been used on large samples. Both methods are
indirect but they rely on different assumptions. Thus, an indication of the
validity of the assumptions can be gained by comparing the distributions of
variation obtained using the two methods.
One more issue that has received little attention in
previous studies is that variation in cone ratio arises from two different
sources: (1) variability in the mechanism that determines which gene, M or L,
from the X-chromosome pigment gene array is expressed in a particular cone and
(2) variability that arises from the presence of heterozygous female carriers of
color vision defects in the sample. We believe that the study of the first type
of variation may be a key to ultimately understanding the mechanisms that
determine the identity of a cone as M versus L. By restricting the sample to
males, we have assured that the cone ratio variation observed in these studies
reflects only genetic variation in the mechanism that determines the probability
that an L versus M gene from one array will be expressed in a particular cone
cell.
Finally, as a future application, with an accurate and
efficient method for assessing individual differences in cone ratio, we hope to
further examine the consequences for vision associated with individual
variations in cone ratio. In the initial color vision assessments used in this
study, all subjects performed normally, regardless of their ERG-derived cone
ratio. However, it seems likely that other aspects of our vision, which are not
accessed in routine color vision tests, might be influenced by variation in cone
ratio. For example, a correlation between chromatic contrast sensitivity and
cone ratio has been demonstrated ( Gunther &
Dobkins, 2002). In the future, the ERG method used here will allow us to
test subjects with a wide range of cone ratios and examine potential
correlations with a variety of visual capacities.
Subjects were males recruited mainly from the Medical
College of Wisconsin and local universities. The men either had normal color
vision ( n=62) or dichromatic color
vision ( n=38). Color vision was
classified based on color matching performance on a Nagel anomaloscope
(Strutt,
1881). Subjects classified as dichromats
accepted the entire range of red-green mixtures as matching the monochromatic
test light, whereas normal observers made a match over a small range of
red-green mixtures and had normal match midpoints. Each dichromat was confirmed
as being either a protanope or a deuteranope based on genetic analysis (see
below). The color vision behavior of both the dichromats and normal males was
also characterized on standard color vision tests, including the AO-HRR, the
Ishihara (38 plates), the Dvorine, the D-15 (both saturated and desaturated),
and the Neitz Test of Color Vision ( Neitz
& Neitz, 2001). The deuteranopes in this study were selected from a
larger population of deuteranopes and were chosen because they had a single
L-photopigment gene variant on the X-chromosome. The subjects’ ages ranged
from 8 to 55 years, with a mean of 27 years for the normals and 25 years for the
dichromats. All research on human subjects followed the tenets of the
Declaration of Helsinki and was approved by the Institutional Review Board at
the Medical College of Wisconsin. Informed consent was obtained after
explanation of the nature and possible consequences of the study.
DNA was extracted from whole blood obtained from each
subject ( Neitz, Neitz, & Grishok,
1995), and used in a previously described real-time quantitative polymerase
chain reaction (PCR) assay to estimate the number of L and M genes in the
X-chromosome visual pigment gene array ( Neitz & Neitz, 2001). The L and M
genes were selectively amplified by long-distance PCR, and the product obtained
was subsequently used to amplify separately exons 2, 3, and 4 of L and of M
genes for direct DNA sequence analysis. The primers and thermal cycling
parameters for all amplifications were reported previously ( Carroll et al., 2000). The resultant PCR
products were directly sequenced with the AmpliTaq FS sequencing kit from ABI,
and sequencing analysis was done with the ABI 310 genetic analyzer.
The procedure and apparatus used to record the flicker
photometric ERG are described elsewhere ( Neitz & Jacobs, 1984; Jacobs et al., 1996; Carroll et al., 2000). Briefly, the
subject’s pupil was dilated with tropicamide 0.5%. Two beams (identified
here as a reference and a test beam) of a three-channel Maxwellian-view optical
system were superimposed to illuminate a circular portion of the retina
subtending approximately 70 ο. High-speed electromagnetic
shutters (Uniblitz; Vincent Associates, Rochester, NY) were used to alternately
present the reference and test lights at 31.25 Hz, with a neutral density wedge
used to control the intensity of the test light. A Varispec liquid-crystal
electronically tunable filter (Cambridge Research & Instrumentation, Boston,
MA) was used to control the wavelength of the test light. These conditions were
designed to eliminate rod and S-cone contributions. The electrode configuration
used to record the ERG signal was as follows: a ground electrocardiogram
conductive electrode above the right eye, a similar electrode below the right
eye to serve as the reference electrode, and a third electrode, made from fiber
from the DTL Plus TM electrode, was used as the active corneal
electrode. Spectral sensitivity was determined by adjusting the intensity of the
test light until the ERG signal it produced exactly matched that produced by the
fixed intensity reference light. For all subjects, this null point was
determined at 10-nm increments over a range of 480–670 nm. For most normal
males and all deuteranopes, readings at 680 nm were also obtained. For the
protanopes, an additional reading at 470 nm was acquired. In addition, for all
dichromats, four recordings at 5-nm increments were taken near the expected peak
(530 nm for protanopes and 560 nm for deuteranopes). The average of two complete
runs through each wavelength was used to determine a subject’s spectral
sensitivity function. Final spectral sensitivity values are reported as quantal
intensities, and they were corrected for lens absorption with an age-dependent
lens correction ( Pokorny, Smith &
Lutze, 1987).
Spectral Sensitivities of Dichromats
Spectral sensitivity functions from dichromats were
used to derive cone spectra that were then used to analyze the normal
trichromats (see below). For each dichromat, a flicker-photometric ERG spectral
sensitivity function was measured, the number of L and M genes was estimated,
and the genes were sequenced. The individual protanope spectral sensitivities
were best fit to a photopigment absorption template expression ( Carroll et al., 2000), allowing both
λ max and optical density (OD) to vary. The values from all
protanopes ( n=24) were averaged to
yield an M-cone spectral sensitivity function with an estimated
λ max of 530 nm and OD of 0.22. We did not limit the analysis to
protanopes who had a single X-encoded M photopigment gene. The variations in
spectral sensitivity that result from amino acid polymorphisms in the M-pigment
gene have been shown to have a minimal impact on the L:M ratio estimates in
normal trichromats ( Bieber et al., 1998; Carroll et al., 2000). We used the average
M-cone spectral sensitivity function derived from the 24 protanopes to represent
the M-cone spectral sensitivity of the normal males.
All of the deuteranopes (n=14) in this study had a
single L-pigment gene variant on the X-chromosome. Template curve fits to the
deuteranope data provided a set of L-cone spectral sensitivity functions to be
used in the analysis of the normal trichromats. For the deuteranope curve fits,
we used a fixed OD of 0.35, which was chosen because it is close to the average
OD value obtained when fitting the deuteranope data and allowing
both OD and λ max to
vary. Using a fixed OD value allowed us to characterize the different L-cone
pigments using λ max as the only parameter ( Carroll, Neitz, & Neitz, 2001). It was shown
previously that spectral sensitivity functions obtained with the ERG from single
gene dichromats are highly reliable. Repeated measurements obtained from the
same subject showed an average absolute deviation in λ max of
less than 1 nm ( Carroll, Neitz,
& Neitz, 2001). Among the L pigments, variations have been observed at
11 amino acid positions, 3 encoded by exon 2, 5 by exon 3, and 3 by exon 4 ( Neitz, Neitz, & Kainz, 1996). These
are indicated by the single letter code in Table
1 and in Figure 1. There were 6
L-pigment sequence variants found among 14 deuteranopes. Shown in Figure 1 are the λ max values
derived from ERG flicker photometric measurements and the amino acid identities
at the 11 variant positions for the
deuteranopes. One of the amino acid substitutions observed among the
deuteranopes, serine versus
alanine at position 180,
affects the spectral peak of the encoded photopigment ( Neitz, Neitz, & Jacobs, 1991; Merbs & Nathans, 1992; Asenjo, Rim, & Oprian, 1994; Sharpe et al., 1998). Of the 14 deuteranopes, 8
had S180, and 6 had A180. The 8 with S180 had a mean λ max of 559
nm; the 6 with A180 had a mean λ max of 555.5 nm. The
λ max values for the pigments within the S180 group and within
the A180 groups have a total range of less than ± 1 nm from the mean. The
S180 and A180 groups do not overlap, and the tails of the two distributions are
separated by a gap of nearly 1.5 nm.
Figure 1. Individual deuteranope
λmax values and
sequences. The 14 deuteranopes were divided into two classes according to
whether their L-pigment gene specified alanine or serine at amino acid position
180. Mean values from these classes were used to derive L-cone spectra for
estimating L:M cone ratio in normal trichromats. The
λmax values represent
the average best fit of the template curve for each subject’s spectral
sensitivity data when a fixed OD of 0.35 was used. Horizontal error bars
represent ± 1 SEM for the individual
λmax estimates. Single
letter amino acid code is T=threonine, I=isoleucine, S=serine, L=leucine,
V=valine, M=methionine, and A=alanine.
There are no
reports that any of the other 4 amino acid dimorphisms encoded by exon 3,
besides 180, have an affect on λ max; however, this has not been
investigated thoroughly. The experiments here ( Figure 1) demonstrate that if the other amino
acid differences do have an effect on λ max it must be quite
small. In addition, the 3.5-nm shift attributed to the A180S polymorphism by
these ERG measurements is in reasonable agreement with other estimates ( Neitz et al., 1991; Merbs & Nathans, 1992; Neitz, Neitz, & Jacobs, 1993; Kraft, Neitz, & Neitz, 1998; Sharpe et al., 1998).
The overall range in λ max is in
agreement with previously reported values for deuteranopes obtained using a
similar ERG method ( Jacobs & Calderone,
1997). Previous examination of the spectral sensitivities of deuteranopes
where the genetic identity of the L pigment was not known showed a bimodal
distribution of λ max values. The separation of the 2
distributions was 3.5 nm, identical to that observed here (where we compared
A180 with S180 L pigments).
L:M Ratios of Normal Trichromats
We estimated the L:M cone ratio for each of the 62
normal males by determining the weighted sum of an L- and an M-cone spectral
sensitivity function required to best fit the spectral sensitivity data. Figure 2 illustrates the fitting technique.
Shown are five independent data sets for subject 043 obtained over a 2-month
testing period. There was relatively little variability among the %L estimates,
with the average deviation of any one trial from the average (59.05 %L) being
2.2 %L. Repeated measurements obtained from 3 other subjects showed similar
variation among their respective %L estimates (data not shown), indicating that
the ERG method employed here gives extremely reliable estimates of the relative
contributions of the L and M cones. Moreover, the reproducibility of the %L
measurement does not change as a function of L:M ratio. For instance, the 2
subjects with the highest estimated %L values (91.3 %L and 92.5 %L) showed
average variations of only 1.2 and 2.2 %L, respectively, when each was measured
on 5 separate occasions. The estimated L:M ratios (in terms of %L) for all 62
subjects are given in Figure 3A and Table 1. For each normal male, an L-cone
spectral sensitivity function was assigned based on the sequence of his L
pigment (Carroll et al., 2000). If the deduced sequence of the normal
male’s L pigment exactly matched one of the deuteranope pigments of Figure 1, then we used either the average
λ max value of 555.5 nm if the pigment had A180, or the average
value of 559 nm if the pigment had S180.
Figure 2. Estimating L:M cone ratio from
ERG spectral sensitivity functions. To determine the %L for each subject, the
weighted sum of an L- and an M-cone absorption spectrum was best fit to the
subjects’ ERG spectral sensitivity data. Each male was assigned a
λmax for his L cone
based on the sequence of his L-pigment gene (see text). Shown above are five
independent measurements of spectral sensitivity on one color normal trichromat
(filled circles) and the cone spectral sensitivities used to estimate %L (red
line, L-cone spectrum,
λmax = 559 nm, OD =
0.35; green
line, M-cone
spectrum,
λmax = 530 nm,
OD = 0.22). %L estimates were obtained for each of the five trials and the
average was calculated to be 59.05 %L. The average deviation of any individual
trial from the average was 2.2 %L.
Figure 3. Normal variation in L:M cone
ratio. A. Distribution of ERG-derived
L:M cone ratios for 62 males with normal color vision. The relative L:M
contributions are represented in terms of %L, in linear combination with M
required to best fit each subject’s flicker-photometric ERG spectral
sensitivity function. The mean value was 65%L. B. Distribution of L:M mRNA from
the retinas of 133 eye donors (M.N., unpublished data, 1998)
(green bars), represented in terms of
%L, compared to that of the ERG-derived ratios (red bars).
About 20% (12 of 62) of the subjects had L-pigment gene
sequences for which there was not a match among the deuteranopes. Six of these
subjects had L-pigment gene sequences that specified amino acid polymorphisms
thought not to influence the λ max of the photopigment. For these
subjects, we used the average L-cone spectral sensitivity from either the A180
or S180 group of deuteranopes (depending on the identity of position 180 in the
subject’s L pigment). The other 6 had L-pigment gene sequences specifying
amino acid polymorphisms known to significantly shift the photopigment spectrum.
For these subjects, we estimated L-cone spectral sensitivity functions by
extrapolating from the λ max of the appropriate genotype class
(A180 or S180) using previous estimates of the spectral tuning effects of the
other polymorphisms in the L pigment ( Neitz
et al., 1991; Merbs & Nathans, 1992; Asenjo et al., 1994; Sharpe et al., 1998).
In addition to the ERG-derived %L, the L-cone spectral
sensitivities used to analyze each normal male (along with the corresponding
sequence for the L pigment from which the λ max of his L-cone
spectral sensitivity was derived) are given in Table 1. All subjects had a single L-pigment
gene sequence, but about 5% had multiple copies of the L gene. This is
consistent with previous data indicating that color normal individuals can have
gene arrays with multiple copies of the L-pigment gene
(Neitz
et al., 1995; Hayashi, Motulsky, & Deeb,
1999). Two
normal male subjects with multiple L-pigment subtypes were observed, but we do
not know which of the L genes are expressed or in what ratio. To avoid this as a
source of error, these individuals were excluded from the present
study. Table 1 . L-Pigment Sequences Deduced from Gene Sequences,
λ max, and ERG-derived
%L Estimates for 62 Males with Normal Color Vision
|
#
|
Exon
2
|
Exon
3
|
Exon
4
|
λmax
|
%L
|
Rayleigh
Matcha
|
|
#
|
Exon
2
|
Exon
3
|
Exon
4
|
λmax
|
%L
|
Rayleigh
Matcha
|
|
003
|
TIS
|
MVAIA
|
IAM
|
555.5
|
65.76
|
40-42
|
|
087
|
TIS
|
MVAIS
|
IAM
|
559
|
67.98
|
39-41
|
|
004
|
TIS
|
LVAIA
|
IAM
|
555.5
|
58.77
|
41-42
|
|
091
|
TIS
|
LVAIA
|
IAM
|
555.5
|
55.31
|
39.5-44
|
|
005
|
TIS
|
MVVIS
|
IAV
|
559
|
70.70
|
37.5-38.5
|
|
092
|
TIS
|
LVAIS
|
IAM
|
559
|
54.59
|
38-43
|
|
013
|
TIS
|
LVAIS
|
IAM
|
559
|
66.72
|
38-43.5
|
|
096
|
TIS
|
LVAIA
|
IAM
|
555.5
|
74.80
|
43-45
|
|
014
|
TIS
|
MVVIS
|
IAV
|
559
|
69.60
|
39-41
|
|
097
|
TIS
|
LVAIS
|
IAM
|
559
|
80.70
|
39-41
|
|
015
|
TIS
|
MVVIS
|
IAV
|
559
|
92.55
|
35-39
|
|
098
|
TIS
|
MVAIS
|
IAM
|
559
|
73.38
|
37-43
|
|
023
|
TIS
|
MVAIA
|
IAM
|
555.5
|
43.41
|
41-44
|
|
100
|
TIS
|
MVVIA
|
TSV
|
551.5b
|
39.40
|
40-46
|
|
030
|
TIS
|
LVAIS
|
IAM
|
559
|
79.53
|
37-40
|
|
103
|
TIS
|
LVAIS
|
IAM
|
559
|
57.44
|
38-41
|
|
043
|
TIS
|
LVAIS
|
IAM
|
559
|
59.05
|
35-42
|
|
104
|
TIS
|
LIAIS
|
IAM
|
559
|
48.94
|
38-40
|
|
056
|
TIS
|
LVAIA
|
IAM
|
555.5
|
61.16
|
42-43
|
|
106
|
TIS
|
MVAIA
|
IAM
|
555.5
|
61.86
|
39-42.5
|
|
057
|
TVY
|
MVAIA
|
IAM
|
554c
|
86.78
|
38-45
|
|
108
|
TIS
|
MVAIS
|
IAM
|
559
|
70.53
|
38-42
|
|
058
|
TIS
|
LVAIS
|
IAM
|
559
|
74.31
|
38-41
|
|
111
|
TIS
|
LVAIA
|
IAM
|
555.5
|
69.35
|
41-44
|
|
059
|
TVY
|
LVAIS
|
IAM
|
557.5c
|
66.21
|
39-42
|
|
112
|
TIS
|
MVAIS
|
IAV
|
559d
|
79.73
|
37-43
|
|
065
|
TIS
|
MVAIA
|
IAV
|
555.5d
|
71.47
|
40-45
|
|
113
|
TIS
|
MVAIS
|
IAM
|
559
|
76.18
|
35.5-40
|
|
067
|
TIS
|
LVAIS
|
TSV
|
555b
|
53.93
|
39-41.5
|
|
114
|
TIS
|
LVVVA
|
IAM
|
555.5d
|
49.99
|
40-43
|
|
068
|
TIS
|
LVAIS
|
IAM
|
559
|
72.36
|
39-40
|
|
116
|
TIS
|
MVAIA
|
IAM
|
555.5
|
66.78
|
40-43.5
|
|
070
|
TIS
|
LVAIS
|
IAM
|
559
|
74.41
|
36-40
|
|
117
|
TIS
|
LVAIA
|
IAM
|
555.5
|
61.75
|
39-44
|
|
071
|
TIS
|
LVAIS
|
IAM
|
559
|
66.19
|
38.5-42
|
|
119
|
TIS
|
LVAIA
|
IAM
|
555.5
|
32.94
|
38.5-41.5
|
|
072
|
TIS
|
LVAIS
|
IAM
|
559
|
91.26
|
39.5-44
|
|
120
|
TIS
|
MVAIS
|
IAM
|
559
|
74.72
|
39-42.5
|
|
075
|
TIS
|
LVAIA
|
IAM
|
555.5
|
73.47
|
41-43
|
|
123
|
TIS
|
MVAIA
|
TSV
|
551.5b
|
60.49
|
40-47
|
|
076
|
TIS
|
MVVIS
|
IAM
|
559d
|
28.14
|
39-42
|
|
129
|
TIS
|
LVAIS
|
IAM
|
559
|
78.76
|
38-40
|
|
077
|
TIS
|
LVAIS
|
IAM
|
559
|
69.39
|
39-40
|
|
157
|
TIS
|
LVAIA
|
IAM
|
555.5
|
67.79
|
42-44
|
|
078
|
TIS
|
LVAIS
|
IAM
|
559
|
50.71
|
40-42
|
|
160
|
TIS
|
MVAIA
|
IAM
|
555.5
|
74.41
|
42-43
|
|
079
|
TIS
|
LVAIA
|
IAM
|
555.5
|
51.95
|
40.5-42
|
|
163
|
TIS
|
LVAIS
|
IAM
|
559
|
64.48
|
37.5-44.5
|
|
080
|
TIS
|
LVAIS
|
IAM
|
559
|
57.78
|
39-42
|
|
182
|
TIS
|
LVAIS
|
IAM
|
559
|
67.97
|
37-40
|
|
081
|
TIS
|
MVAIA
|
IAV
|
555.5d
|
65.72
|
42.5-44
|
|
183
|
TIS
|
LVAIS
|
IAM
|
559
|
78.15
|
38-41
|
|
082
|
TIS
|
MVAIA
|
IAM
|
555.5
|
73.40
|
41-43.5
|
|
200
|
TIS
|
LVAIS
|
IAM
|
559
|
56.95
|
39-41.5
|
|
083
|
TIS
|
LVAIS
|
IAM
|
559
|
60.89
|
35-37
|
|
203
|
TIS
|
MVAIA
|
IAM
|
555.5
|
60.19
|
41-43
|
|
084
|
TIS
|
LVAIS
|
IAM
|
559
|
64.46
|
35-42
|
|
204
|
TIS
|
LVAIS
|
IAM
|
559
|
70.54
|
39-41
|
|
085
|
TIS
|
LVAIA
|
IAM
|
555.5
|
71.96
|
41-44
|
|
234
|
TIS
|
LVVVA
|
IAM
|
555.5d
|
44.82
|
41-44
|
|
086
|
TVY
|
LVAIA
|
IAM
|
554c
|
60.67
|
41-43.5
|
|
235
|
TIS
|
LVAIA
|
IAM
|
555.5
|
59.55
|
42-45
|
Each subject’s L-cone spectral sensitivity
function was based on the sequence of his L pigment (amino acid positions
encoded by: exon 2 – 65, 111, 116; exon 3 – 153, 171, 174, 178, 180;
exon 4 – 230, 233, 236). Some subjects had gene variants not seen in any
of our deuteranopes; their L-pigment
λmax values were
estimated using known spectral tuning differences (see text). a. Color matching
range from Nagel anomaloscope. b. Estimated peak based on the spectral tuning
effect of exon 4 specified substitutions TSV. c. Estimated peak based on the
spectral tuning effect of exon 2 specified substitutions VY. d. Estimated peak
based on polymorphisms with no known influence on the photopigment spectrum.
Single letter amino acid code is T=threonine, I=isoleucine, S=serine, L=leucine,
V=valine, M=methionine, A=alanine, and Y=tyrosine.
mRNA Results From Donor Retinae
The ERG technique is an indirect method for estimating
the ratio of L:M cones in the retina. It relies on two assumptions: (1) the
average L cone and the average M cone contribute equally to the generators of
the ERG signal, and (2) under these recording conditions, the ERG taps signals
that represent the linear sum of L and M cone contributions. Recently, L:M cone
ratios were estimated from L:M mRNA ratios measured from excised patches of
central retina from cadaver eyes ( Hagstrom et
al., 1998; Sjoberg, 1998; Hagstrom, Neitz, & Neitz, 2000). As with
the ERG method, the mRNA analysis is also indirect, but the underlying
assumptions are different. The mRNA analysis has the disadvantage that it cannot
be used on living humans, but it is similar to the ERG in that it can be used to
examine a large number of individuals. The analysis assumes that the average L
cone has the same amount of mRNA as the average M cone. However, the linear
additivity of the amounts of L- and M-pigment mRNAs is not an assumption; this
linearity has been demonstrated through measurements of known mixtures of L and
M mRNAs. Figure 3B compares the results
obtained using the ERG with those obtained previously from mRNA analysis on 133
donor retinas (M.N., unpublished data, 1998). The mRNA data are from retinal
punches centered on the fovea, with radii that subtend
~10 ο of
visual angle. Even though the ERG stimulus covers a much larger area of retina,
the L:M mRNA levels remain relatively flat over this area ( Hagstrom et al., 1998). If the assumptions of
both techniques are valid, then the distribution obtained from mRNA analysis
should match that obtained from the present study. The mean L:M ratios from the
two studies are nearly identical (2:1, or
~ 66 %L) and the
distributions are fairly similar. This is qualitative evidence that assumptions
for both methods are reasonably valid. One curious difference between the two
distributions is that with the mRNA method, almost all retinas had greater than
50%L, whereas with the ERG method, a significant number of individuals had
L-cone contributions of less than 50%L. This suggests the possibility that
although the assumption of equal amplitude ERG responses from L and M cones
holds true for the majority of subjects, some may violate it. We examine this
possibility further in the next section.
Relationship Between L-Pigment Subtype and L:M Ratio
This study makes it dramatically clear ( Table 1) that there is not one
“normal” L pigment. In our sample of 62 males with normal color
vision, we identified 16 different normal L-pigment variants. The effect of
various, normally occurring amino acid substitutions on the λ max
of the L-cone pigment has been studied ( Neitz et al., 1991; Merbs & Nathans, 1992; Asenjo et al., 1994; Sharpe et al, 1998). However, it is not known how
the variant amino acids might alter other aspects of cone photoreceptor
function. There is evidence that some amino acid combinations that do not affect
λ max may influence other aspects of cone function, such as the
efficiency with which the photoreceptor absorbs light ( Neitz, Neitz, He, & Shevell, 1999).
The fact that some outliers were observed in the ERG-derived distribution (which
measures electrical signal) but not in the mRNA results (which may be a more
direct measure of cone ratio) suggests that certain individuals may have ERG
response ratios that do not reflect their actual cone ratio. It may be that
amino acid combinations in some of the rare photopigment variants have
detrimental effects; they may reduce the efficiency of the pigment in capturing
photons or in activating the phototransduction cascade. For example, if someone
had a normal percentage of L cones, say 50%, but he had an L-pigment variant
that was only 50% as efficient at absorbing photons or transducing photon
capture as normal, then from the ERG, his relative cone contribution would be
only 33%L, a value observed in the ERG results but not in mRNA results. If true,
this must be relatively rare or overall there would be a large disparity between
the ERG and mRNA results. Thus, the hypothesis that there are specific L-pigment
variants that are responsible for abnormal L-cone responses predicts that there
should be an association between unusual ERG cone contribution ratios and
unusual L-pigment variants. To test this, we obtained an estimate of the
frequency of each of the L-pigment variants in the population by looking at the
distribution of pigment variants in a larger sample that combined the 62 gene
sequences here with those obtained previously from 87 males with normal color
vision ( Sjoberg, 1998). Each subject could
then be characterized in terms of the frequency of his particular L-pigment
variant and in terms of relative frequency of his cone contribution ratio. For
example, subject 182 had the most commonly occurring L-pigment variant (TIS
LVAIS IAM), which is observed in about 30% of males, and he had 68%L from the
ERG analysis, which fell into one of the highest frequency bins, containing
about 25% of the males. Similar frequency pairs were determined for each of the
males and results for all 62 are plotted in Figure 4. A log scale is used in order to
emphasize the low frequencies along each dimension.
Figure 4.
Correlation of L-cone contribution to the ERG with sequence variations at
the L-pigment gene locus. For each subject, the frequency of his L-cone
contribution to the ERG was plotted and compared to the frequency of his
particular L-pigment sequence. The solid vertical line indicates the
25th percentile for the
frequency of L pigment – all subjects falling to the left of the line are
in the lower 25th
percentile. Similarly, all subjects falling below the horizontal line have L:M
contributions to the ERG found in the lower
25th percentile of the
distribution. Included is the predicted number of subjects that should fall
within each quadrant (as predicted by chance), along with the observed number.
The association between L-pigment gene sequence and L:M cone contribution to the
ERG was higher than would be predicted by chance
(p=.03; Fisher exact test). Many
subjects had overlapping frequencies, and these data points were displaced so
that all 62 are visible in the graph. This did not change which quadrant a given
data point fell into, but simply allowed each data point to be seen.
In order to analyze the results statistically, we
divided the subjects to separate out those falling in the lower 25 th
percentile – both in frequency of L:M ratio and in frequency of L-pigment
gene sequence. In Figure 4, the upper right
quadrant represents those subjects with both the most typical L-pigment gene
sequences and the most typical L:M ratios. The lower left quadrant corresponds
to those people who had both an unusual (falling at or below the 25th
percentile) L:M contribution to the ERG and an unusual L-pigment gene sequence.
The likelihood of these two low-probability events occurring together by chance
is very low (0.25 x 0.25), whereas the odds of a subject being atypical in just
one of these two dimensions are much higher (0.25 x 0.75). Thus, chance would
predict that nearly 38% of our subjects would fall into the upper left or lower
right quadrants. That is, if there was no relationship between gene sequence and
cone ratio, there should be three times as many subjects in each the upper left
and lower right than there are in the lower left. Instead, nearly equal numbers
are observed in each of the three quadrants. The probability of getting this
result by chance is low (p = .03;
Fisher exact test). This association between the unusual gene sequences and the
unusual ERG results is consistent with the hypothesis that the amino acid
combinations that occur in some specific L pigments have detrimental effects on
the flicker ERG response for that cone class. The results also suggest that
variants that produce large detrimental effects must be relatively rare, so this
will not generally affect the ability to assess cone ratio using the ERG for
most subjects. However, it needs to be kept in mind when interpreting results
from ERG-flicker photometry.
Because it is based on a statistical argument, this
experiment does not identify specific unusual amino acid combinations as
candidates for having detrimental effects on the ERG response. However, this is
the second study (the first was Neitz et
al.,1999) to suggest that normally occurring amino acid substitutions can
have effects on cone function besides altering the λ max of the
pigments. So far, efforts to understand the implications of amino acid
differences among L and M pigments have focused on λ max. Future
studies focused on other functional differences among the photopigment variants
will be extremely important and interesting.
Effectiveness of Our Method
We have used the fitting of ERG-derived spectral
sensitivity functions to individualized L-cone spectral absorption curves as a
method for removing variation in the λ max of the underlying
photopigments as a source of error. To test the effectiveness of this method in
removing the error, we compared the individual cone ratio estimates to Rayleigh
matches on the Nagel anomaloscope. The Rayleigh match midpoint is linearly
related to the spectral sensitivities of the underlying cone pigments, and thus,
the match midpoint is highly correlated to variation in λ max
among the normal pigments ( Neitz &
Jacobs, 1986). If the variability in λ max introduces error
into the estimates of cone proportion derived from ERG spectral sensitivity,
then the estimates of L:M proportion should also be significantly correlated
with the Rayleigh match midpoints because both measures will share a strong
component from variability in λ max. Figure 5A shows the results for the 62 males
prior to being corrected by using the individualized L-cone spectral
sensitivities. To obtain the results for Figure
5A, a single L-cone fundamental was used for all subjects. As expected from
the fact that the variability in the cone pigments is normally a strong source
of error in the cone contribution estimates obtained from spectral sensitivity,
there is a strong correlation between the two measures that is highly
statistically significant
( r2
= 0.30 , p < .0001). However,
in Figure 5B, when we use corrected L-cone
spectral sensitivity functions, based on the deduced amino acid sequence for
each subject’s L pigment, the correlation is reduced to near zero and the
extremely low residual correlation is not statistically significant
( r2
= 0.04 , p = .11). Thus, at least
from this analysis, there is no measurable error associated with variations in
λ max remaining after corrections have been made using the
genetic data.
Figure 5. Estimated L:M ratios (expressed
as %L cone contribution to the ERG) compared with Nagel anomaloscope Rayleigh
match settings for 62 men with normal color vision. A. %L-cone contribution
calculated with a single L-cone spectral sensitivity function versus
anomaloscope setting. Vertical error bars represent the matching range for each
subject; the data points are the midpoints. B. Same as A, except that the
estimated %L contribution was corrected by using an individualized L-cone
spectral sensitivity for each subject (see text).
In the sample used here, 35 subjects had S at position
180, whereas the remaining 27 had A180. In the absence of any other amino acid
substitution, the S180 subjects have a pigment with a λ max of
559 nm. However, 2 of the S180 subjects had polymorphisms in exon 4, which are
known to shift the spectral sensitivity of the pigment toward the shorter
wavelengths ( Neitz et al., 1991; Merbs & Nathans, 1992; Asenjo et al., 1994; Sharpe et al., 1998). Thus, nearly one half of
the subjects (35 – 2 = 33) had 559-nm L pigments, whereas the other half
had pigments with λ max values 3.5 nm
shorter or more. This means that in a sample where no genetic information was
known and an average L-cone spectral sensitivity was used for all subjects, all
estimates would be subject to error from the λ max variation.
Alternatively, if an L pigment with a 559-nm spectral peak was used, nearly one
half of the subjects would have accurate L:M estimates, and the other half would
show L:M estimates that were incorrect. To determine how inaccurate these
estimates would be, we derived a %L estimate using a 559-nm L pigment for all 29
of the subjects who had either A180 or some other polymorphism that shifted the
spectrum of their L pigment. For one subject, the %L estimate was 25%L lower
with the 559-nm curve than his individualized spectrum with a
λ max of 554 nm. This is the equivalent to misidentifying a
person with a 3:1 L:M ratio as having only a 1:1 ratio. The average error was
about 15%L, roughly the difference between a 1:1 and a 2:1 L:M ratio.
The combination ERG and genetics used here proves to be
an efficient technique for obtaining measures of the L:M cone ratio.
Measurements made on 62 males with normal color vision provide an estimate of
how variation in L:M cone ratio is distributed in the population. There is
remarkable variation among males with normal color vision that persists even
though a large amount of measurement error has been removed. We assume that this
widespread variability is the result of individual differences in the genetic
mechanisms that determine the identity of a cone as being L versus M.
The method described here will be valuable in
addressing questions about the biological mechanisms responsible for color
vision. Of particular significance is understanding the basis for the large
individual differences in cone ratio. We have begun to examine this by
characterizing the inheritance patterns of L:M ratio in normal men. In addition,
by being able to rapidly and reliably identify subjects with unusual L:M ratios,
we can investigate the consequences for vision that might come from having an
abnormally skewed ratio.
The estimates of cone ratio that are derived with the
methods used here appear to be highly accurate for the vast majority of
individuals. However, about 10% of the ERG subjects had an L-cone contribution
that was lower than the M-cone contribution, a situation that was not observed
in the mRNA results. These subjects with abnormally low L-cone contributions
were significantly more likely to have atypical L-pigment gene sequences. This
suggests that in a small subset of individuals, the percent of L cones is
underestimated because of abnormally low amplitude responses that are the result
of expression of atypical L-pigment sequence variants. Preliminary results show
that L:M ratios obtained from direct imaging with adaptive-optics closely agree
with those obtained from an ERG method such as ours ( Brainard et al., 2000), and this is being
pursued further. Individuals in whom a low ratio is coupled with an atypical L
gene are candidates for having L pigments with impaired function. An interesting
test would be to obtain adaptive-optics retinal images from such individuals and
see if the L-cone contribution to the ERG is significantly lower than predicted
from the images. These sorts of experiments are also underway. This strategy
might open the door for other, more comprehensive analyses of the functional
differences among pigment variants.
This work was supported by Research to Prevent
Blindness (RPB), National Eye Institute Grants EY09303, EY01931, and EY09620,
and the David & Ruth S. Coleman Charitable Foundation. M.N. is the recipient
of an RPB Lew Wasserman Merit Scholar Award. The authors would like to thank
P.M. Summerfelt, C. Bialozynski, C. McMahon, and M. Tickner for technical
assistance. Commercial Relationships: None.
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