We have reviewed our studies concerning the AM-system conducted in our laboratory during the past three years and have discussed the important features of hysteresis (Szent-Gyorgyi) of the AM-system. 1) We examined the reports by Szent-Gyorgyi's. group from various angles in regards to the viscosity-changes and the superprecipitation of the solution of AM, the ATPase activities, glycerol extracted muscle, freezing and subsequent thawing, etc. And we recognized that their data agreed with ours roughly. 2) In ditails, however, there were considerable disagreements. Particularly, it is noted that the molecular mechanism of the interaction between ,AM and ATP is yet unknown. 3) Pyrophosphate, ATP in high concentration and other substances can r...