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The simulation of the relevance of dose and Hill coefficient to drug effect

Clinical trial simulation (CTS) which is the process of simulating clinical trials based on a mathematical model can facilitate analyzing the ambiguity about the dose-response. To investigate how the drug effect varies with the parameters dose and Hill coefficient (N) this study simulates a pharmacokinetic-pharmacodynamic (PK-PD) model. Based on the MATLAB software the simulations illustrated the results of the variation of the drug effect in two- and three-dimensional diagrams. It was showed that the drug effect lags behind the plasma drug concentration and with the increasing dose it doesn't always increase obviously. With the increasing value of N the maximum drug effects decrease when the doses are lower than 9 mg whereas they increase when the doses are higher than 11 mg. Results demonstrate that the relationship between parameter and drug effect can be clearly observed during the process of simulation. The diagrams are meaningful for the selection of rational doses and N in the clinical dosage regimen.