To rapidly calibrate the Lee-Tarver three-term ignition and growth model parameters for DNAN-based explosives， a barrier test simulation model was established with HMX as the donor explosive and DNAN/RDX-based aluminized explosive as the receptor charge. The influence of model parameters on the shock initiation response of the explosive was investigated. Based on the response characteristics at the critical barrier thickness for detonation， the 15 parameters of the ignition and growth model were classified into coefficient parameters， exponent parameters， and threshold parameters. Quantitative relationships between each parameter and the explosive reaction rate were obtained through classified adjustment， and parameter sensitivity analysis was completed. The results indicate that the critical barrier thickness for complete detonation of DNAN-based explosives is 7.5-8.0 mm， and the critical barrier thickness for low-velocity detonation is 25.0-25.5 mm. Parameters I， G₁， G₂， F_igmax， and F_GRmax exhibit a positive correlation with the explosive reaction rate， while parameters y， e， g， z， a， and F_GRmin exhibit a negative correlation with the explosive reaction rate. Parameters G₁， y， a， and F_GRmax are identified as the key sensitive parameters affecting the reaction degree. The findings provide a basis for parameter adjustment in the rapid calibration of the Lee-Tarver three-term ignition and growth model.