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An aftertreatment system for medium and heavy-duty diesel engines has been modeled for U.S. 2010 application. The aftertreatment system is comprised of a lean NOx trap (LNT) and an ammonia selective catalytic reduction (SCR) catalyst in series. Descriptions of the fully transient, one-dimensional LNT and SCR models are presented. The models simulate flow, heat transfer, and chemical reactions in the LNT and SCR catalysts. The models can be used to predict catalyst performance over a range of operating conditions and driving cycles. Simulated results of NOx conversion efficiency, species concentrations, and gas temperature were compared to experimental data for a 13-mode test. The model results showed the LNT-SCR model predicts system performance with reasonable accuracy in comparison to experimental data. Therefore, two model applications were investigated. First, LNT and SCR volumes were varied to examine the effect on NOx conversion efficiency and NH3 production.