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For the purpose of understanding the smoke detector's response to enclosure fires, a computational model for predicting the evolution of the local concentration and size distribution of smoke aerosol is presented. The model utilizes the characteristic of smoke aerosol that the large size part of the size distribution is not significantly affected by coagulation and that its size distribution takes a virtually time-independent reduced form. By numerically solving the conservat~on equat~ons of total particle volume and total particle number, the size distribution of the smoke aerosol is determined by the reduced expression of the size distribution where the total particle volume and the total particle number are the parameters. The results of sample calculations and relevant experiments showed a reasonable agreement.