A model system of polyacrylamide films containing the Triton extract of rat brain homogenate was applied to investigate quantitatively some aspects of three methods for the cytochemical demonstration of acetylcholinesterase activity (Lewis 1961; Karnovsky and Roots 1964; Tsuji 1974). Biochemical determinations showed that about 90% of the acetylcholinesterase activity originally present in the Triton extract were still detectable in the films. The relationship of the formation of cuprous thiocholine iodide in the case of the methods of Lewis (1961) or Tsuji (1974) and of cupric ferrocyanide at the reaction of Karnovsky and Roots (1964) to either enzyme concentration or incubation time were tested in detail. The results showed that for the method of Tsuji and, with some restrictions, also for the method of Karnovsky and Roots a linearity exists in these two respects. In the case of the Lewis technique, an approximate linearity between the amount of reaction product and incubation time could only be found from 90 min onward, but no linearity was detected in relation to the enzyme concentration. At low enzyme concentrations, too little white precipitate was formed in comparison to higher ones. Therefore it is suggested that this technique, as compared to the methods of Tsuji and Karnovsky and Roots, probably is less suitable as a quantitative cytochemical method.