Essentially I break down the circuit into a series of blocks which are easy to model in isolation and then show how the interactions between these blocks are very complex and difficult to model. The starting point is essentially the classic simple moog model with some extra stuff and I add in bits between those blocks to mimic the interactions while comparing it to various digital models of the filter, spice simulations and the real deal.
So I slowly make up a big massive mess of a patch in PureData that eats my entire CPU but does a fairly solid job of the emulation then try and simplify things down to show how each part affects the whole.