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When Does Machine Learning Add Value over Theory? Predicting API Solubility in Binary Mixtures with COSMO-RS and
Maciej Przybyłek1,2, Tomasz Jeliński1, Adrian Drużyński1
1Department of Physical Chemistry, Faculty of Pharmacy, Collegium Medicum of Bydgoszcz, Nicolaus Copernicus University in Toruń, Kurpińskiego 5, 85-950 Bydgoszcz, Poland.
Machine learning enhances solubility prediction for diverse active pharmaceutical ingredients (APIs) when traditional models fall short. For simpler systems, established theory suffices, guiding formulation scientists effectively.
Area of Science:
- Computational chemistry
- Pharmaceutical sciences
- Machine learning
Background:
- Predicting active pharmaceutical ingredient (API) solubility in aqueous-organic mixtures is crucial for drug formulation.
- Physics-based models like COSMO-RS are valuable but struggle with complex, non-ideal systems.
- The added value of machine learning (ML) over established theory needs clear delineation.
Purpose of the Study:
- To evaluate when ML-based approaches offer significant improvements over COSMO-RS for API solubility prediction.
- To compare the performance of COSMO-RS with a hybrid ML/COSMO-RS workflow (DOOIT2).
- To provide practical guidance for formulation scientists on selecting appropriate predictive models.
Main Methods:
- Comparison of COSMO-RS and DOOIT2 (hybrid ML/COSMO-RS) on two datasets: diverse APIs and acid-centered solutes.
- Utilized API-out Structured Group K-Fold validation for robust generalization assessment.
- Included newly measured solubilities in aqueous 4-formylmorpholine mixtures.
Main Results:
- For the homogeneous acid series, COSMO-RS showed strong performance (RMSD=0.321, R²=0.925), with no significant improvement from DOOIT2.
- For the diverse API dataset, DOOIT2 reduced RMSD from 0.686 to 0.527 and increased R² from 0.829 to 0.849.
- Prediction uncertainty was linked to the low-solubility region, not solely molecular weight.
Conclusions:
- ML-based corrections like DOOIT2 provide tangible benefits for solubility prediction in complex, diverse API systems.
- For simpler, homogeneous systems, established physics-based models offer sufficient accuracy.
- Findings clarify the practical utility of ML in pharmaceutical formulation, guiding model selection.
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