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A reduced chemical kinetic model by Li et al. [1]* for predicting primary reference fuels' reactivity and autoignition behavior was modified to apply to the butanes, and it was correlated to experimental results from the non-fired engine cycles under skip fired conditions. The fuels examined in this work were neat n-butane and n-butane/iso-butane blends (10, 20, and 48 percent by volume iso-butane). In our initial work using measured pressure data from the first skip cycle, we modified Li et al.'s model by only adjusting the fuel specific rate parameters of the alkylperoxy radical (RO2·) isomerization reaction, the reaction of aldehydes with OH·, and the reaction forming cyclic ethers. In this work, analysis was extended to the second skip cycle and additional oxidation rate parameters with high fuel sensitivity were adjusted. Several reactions, which are not significant in butane oxidation, were temporarily made to be inactive in the model.