Non-isothermal polymerization kinetics of reactive N,N'-bismaleimide-4,4'-diphenylmethane/barbituric acid microgel particles (BMI/BTA MPs) and BMI/BTA/hydroquinone (HQ) MPs in N-methyl-2-pyrrolidone (NMP) solution studied. The model-fitting method in combination with the model-free method was used to determine the kinetic parameters for the polymerizations of reactive BMI/BTA MPs and BMI/BTA/HQ MPs. The results show that Michael addition polymerization predominates in BMI/BTA/HQ MPs in the temperature range 95-140 degrees C. For BMI/BTA MPs, free radical polymerization plays a crucial role in the temperature range 70-95 degrees C, whereas Michael addition polymerization becomes significant when the temperature is higher than 120 degrees C. The non-isothermal polymerization processes were satisfactorily predicted by the same contracting cylinder model for both the BMI/BTA MPs and BMI/BTA/HQ MPs. (C) 2014 Elsevier B.V. All rights reserved.