As a quantitative test of whether coactivation of the bipolar cell's GABA
A and GABA
C receptors affects the potentiation by propofol, we examined the relationship of responses obtained with and without selective, TPMPA-induced suppression of the GABA
C-mediated component. We reasoned that if propofol affects only the GABA
A-mediated component of the overall response to (GABA + propofol) and if this overall (GABA + propofol)-elicited response represents the independent summation of GABA
A- and GABA
C-mediated components, the sum of the putative GABA
C-isolated response plus the propofol-enhanced response obtained under conditions of GABA
C suppression should approximate the overall response to (GABA + propofol). To test this hypothesis, we analyzed responses obtained under four experimental conditions: (1) 10 μM GABA alone (10G), (2) 10 μM GABA plus 100 μM TPMPA (10G + 100T), (3) 10 μM GABA + 100 μM TPMPA + 150 μM propofol (10G + 100T + 150P), and (4) 10 μM GABA + 150 μM propofol (10G + 150P). The left side of
Figure 10A shows responses obtained in a single experiment of this type. Here the black, red, and blue traces were obtained under conditions 1, 2, and 3, respectively. With the use of these responses, we computationally determined response
rtest(
t), where
and where [
r10G(
t) −
r10G+100T(
t)], representing the difference between the response to GABA alone and the GABA
C-suppressed and thus solely GABA
A-mediated response to GABA plus TPMPA, is the putative GABA
C-mediated component; and where
r10G+100T+150P(
t) is the putative propofol-enhanced, GABA
A-mediated component. On the hypothesis presented,
rtest(
t) should correspond with the overall response to GABA plus propofol exhibited in the absence of GABA
C suppression by TPMPA; that is,
where
r10G+150P(
t) is the overall response to GABA plus propofol obtained under condition 4 (green trace). As illustrated by the purple and green traces in
Figure 10A, the computationally determined waveform
rtest(
t) (purple) closely resembles
r10G+150P(
t) (green). In similar experiments we analyzed responses obtained under conditions 1–4, but with a propofol concentration of 500 μM rather than 150 μM (
Fig. 10B). As shown in the left side of
Figure 10B, again the computationally determined response
rtest(
t) approximated response
r10G+150P(
t). Histograms at the right in
Figures 10A and
10B describe aggregate results obtained in a group of experiments of the types described by the waveforms in the respective panels. Here, responses obtained under the experimental conditions 1–4 were analyzed to determine the respective peak amplitudes A
10G, A
10G+100T, A
10G+100T+150P, and A
10G+150P, and the test peak amplitude A
test, where (
equation 2)
With these peak amplitudes, and with the use of A
10G as a normalizing factor, we tested for an equality of the dimensionless expression
The histograms in
Figures 10A and
10B compare determinations of the left-hand and right-hand expressions of
equation 3b under conditions involving treatment with 150 μM and 500 μM propofol, respectively. For 150 μM propofol, values obtained for the left-hand expression (1.88 ± 0.39; data obtained from six cells) did not differ significantly from those for the right-hand expression (1.77 ± 0.25) (
P = 0.57), and the difference on average was only 6%. Similarly, for 500 μM propofol, determinations for the
equation 3b left-hand expression (1.38 ± 0.09; data obtained from five cells) did not differ substantially from those for the right-hand expression (1.55 ± 0.06) (
P = 0.05), and the difference was on average 11%. Together, the
Figure 10 data are consistent with an approximate equality of the left- and right-hand expressions of
equation 3b and, thus, with an independence of GABA
C- and enhanced GABA
A-mediated contributions to the overall response to GABA.