At least in invertebrates, it appears that within identified cell types, there are robust correlations between ion channel mRNA copy number (as identified by single-cell qRT-PCR) and the maximal whole-cell conductance for that ion channel species. For an example, see the following paper:
These results suggest that in general, we can model the relationship between ion channel mRNA copy number $m$ and conductance $g$ as
$$ g = \alpha + \beta m + \epsilon $$
where $\epsilon$ is some noise term and $\alpha$ and $\beta$ depend on cell type and ion channel species. In general, one would need to fit these parameters from data. I have two questions:
Due to issues with capture efficiency, etc., is it reasonable to expect there to be similar linear relationships between UMI counts of ion channel transcripts from scRNA-seq and ion channel conductances? Or is only qRT-PCR sufficiently accurate for estimating copy number?
If one does not have conductance data available to fit a regression model, are there theoretical models (e.g. involving gene regulatory networks) from which one could derive expected mappings between ion channel copy number and conductance?