AI-Aristotle: A physics-informed framework for systems biology gray-box identification
Fig 9
Pharmacokinetics model: Validation metrics for the Pharmacokinetics model using for X-TFC and PINN based gray-box models.
(A) represents variation in loss and score of symbolic models obtained from PySR with respect to the complexity of expressions. Once convergence is achieved, the score remains constant as the complexity of the recovered expression increases, and thus, the criteria for selection of candidate symbolic with expression shown in Table 11. (B) represents variation in loss of symbolic models, obtained from gplearn, with respect to the length of expression. We choose the length of expression 9 and 19 for PINNs and X-TFC, respectively. These lengths of expressions correspond to the minimum loss for the regressed symbolic models with closed form expression shown in Table 11.