The time course of SpIH current saturation during cAMP transfer is dependent on the magnitude of gap junctional coupling between the cells, which can be directly measured, and the cAMP permeability of the connexin coupling them. To quantitate cAMP permeability, the ratio
ΔI/Δt was plotted against junctional conductance for all data points generated from the three connexins (
Fig. 5). The solid lines are linear fits with the significantly different (
P < 0.0001, ANCOVA) slope values given in the
Table. CAMP permeability was calculated using these slope values in combination with the known unitary conductance of the lens connexin channels, and our previously characterized behavior of SpIH in single cells when the concentration of cAMP was varied in the whole-cell patch pipette between 1 and 500 μM.
15 In single cells, intracellular delivery of cAMP increased SpIH currents in a dose-dependent manner. Fitting the linear part of the normalized tail current dose-response curve yielded a slope of 0.048/μM. This linear portion of the single cell dose–response curve corresponds to the linear part of the normalized SpIH tail current increase over time seen in cell pairs (
Fig. 3B).
ΔI/Δt allows estimation of the concentration of cAMP in the recipient cells by using the dose-response curve for the SpIH tail currents from single cells. For Cx46 channels,
ΔI/Δt has a slope of 0.00037 s
−1/nS, and the cAMP flux can be calculated as follows: 0.00037 s
−1/nS ÷ (0.048/10
−6 M) = 7.71 × 10
−9 M/s/nS. The total number of cAMP molecules that transfer from the source cell to the recipient cell can also be calculated as the product of (V
c)(ΔC)(N
A), where V
c is the cell volume, ΔC is the flux concentration, and N
A is Avogadro's number. HeLa cells have an average volume of 1.8 pL,
47 so the total number of cAMP molecules that transfer to the recipient cell in 1s for a Cx46 junctional conductance of 1nS is (1.8 pL) (7.71 × 10
–9 M/s/nS) (6.02 × 10
23) = 8354 molecules/s/nS. Using the unitary conductance of Cx46 (146 pS),
48 the number of cAMP molecules passing per channel per second can be calculated as (8354 molecules/s/nS) (146 pS/channel ÷ 1nS) = 1220 molecules/channel/second. This cAMP permeability was 5-fold less than that calculated for Cx43 (6095 molecules/channel/second,
Table).