In this talk I will introduce the manifest interconductance rank (MIR) 
form and contrast it to another long-known canonical form used in the 
data-driven identification of ion channel gating kinetics: the uncoupled 
model (UCM). (The UCM has every open state connected to every closed state 
and vice versa). MIR form has significantly fewer parameters and provides 
more insight into gating kinetics than the uncoupled model.  Beyond the 
new canonical form the principle results to be presented are (1) All
topologies with interconductance rank=1 and with the same number of open
and closed states result in identical steady-state statistics (2) detailed
balance is preserved under transformation to either UCM or MIR forms and (3) a
general detailed balance preserving transformation. These results should
facilitate maximum likelihood methods for finding models that best fit
some given data.