This study presents a comparative evaluation of three approaches for forecasting a diabetes complications dynamical model: the classical fourth-order Runge–Kutta method (RK4), the multiplicative Runge–Kutta method (MRK4), and a Multilayer Perceptron (MLP) trained as a surrogate predictor. RK4 and MRK4 are used to numerically simulate the model, while the MLP is trained on trajectories generated by MRK4. Performance is assessed using mean squared error (MSE), root mean squared error (RMSE), and mean absolute percentage error (MAPE). The results highlight the advantages and limitations of each approach in capturing the model dynamics and provide guidance on when numerical solvers or learning-based surrogates may be preferable in diabetes modeling.
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