Based on the traditional drug-target interactions, a drug-target hypernetwork evolution model was constructed using hypergraph theory. The evolutionary law of the growth of drug-target interactions was analyzed by mean-field theory, and it was found that the distribution of drug-target hypernetwork conformed to a power-law distribution, and further theoretical analysis obtained that the power exponent of the distribution was correlated with the growth rate of the target species corresponding to drug development. A larger exponent tends to explore new targets. By analyzing the drug target data collected from the drugbank in 2021, it was confirmed that the empirical results are consistent with the theoretical analysis and simulation results.
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