The detection of hepatic lesions in computed tomography (CT) is improved when a contrasting material is administered intravenously, but it depends considerably on how this agent is injected. In this study, we constructed a compartment model for a liver containing a hepato-cellular carcinoma (HCC), and simulated the difference in lesion-to-liver contrast enhancement. Using this model, we simulated the effects of various injection factors on the detectability of a lesion and searched for the optimal injection protocol for detecting tumors in contrast-enhanced dynamic hepatic CTs. We found that the mass injection rate, or k-value (in mg/s), (which is the volume injection rate, in ml/s, multiplied by the contrast agent concentration, in mg/ml) plays a critical role in the injection protocol optimized for tumor detection, and has a unique value for a given body weight independent of the total injection dose.