Auditory models reverse processing techniques would have very useful applications in speech perception and auditory models evaluation. This paper examines how we can be benefit an Inner Hair Cell (IHC) model as a compression and envelope detection section, in the cochlear model inverse processing. Our proposed inversion method, combines the reverse of the Meddis's auditory neural transduction model with Lyon's cochlear model to estimate the input signal to the inner ear from its auditory nerve firings, with the acceptable quality. Since this method uses neural firings or cleft contents as an input and re-generates the original acoustic stimulus, it is useful with any system generating auditory neural firings. For example, using this method, we are able to estimate the stimulus signal of the Nucleus Cochlear Implant systems to investigate the transferred speech quality without using the real patients.