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Advanced simulation and numerical evaluation of pharmaceutical solubility estimation under supercritical processing

Ahmed H Albariqi1, Rami M Alzhrani2, Majed A Alghamdi3

  • 1Department of Pharmaceutics, College of Pharmacy, Jazan University, Jazan, 45142, Saudi Arabia.

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|March 27, 2026
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Summary

Machine learning models accurately predict drug solubility in supercritical carbon dioxide (SC-CO2). This computational approach aids in optimizing pharmaceutical processes for enhanced drug solubility.

Keywords:
Computational analysisDrug solubilityMachine learning modelProcess modelingSupercritical processing

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Area of Science:

  • Pharmaceutical Science
  • Chemical Engineering
  • Computational Chemistry

Background:

  • Poor aqueous solubility is a major challenge in drug development, limiting bioavailability.
  • Supercritical fluid technology, particularly using supercritical carbon dioxide (SC-CO2), offers a promising route to enhance drug solubility.
  • Accurate prediction of solubility under varying conditions is crucial for process design and optimization.

Purpose of the Study:

  • To develop and evaluate machine learning models for predicting pharmaceutical solubility in SC-CO2.
  • To investigate the prediction of SC-CO2 solvent density alongside drug solubility.
  • To establish a data-driven framework for supercritical pharmaceutical process design.

Main Methods:

  • Utilized a dataset of temperature, pressure, SC-CO2 density, and glibenclamide solubility.
  • Employed machine learning models: Convolutional Neural Network (CNN), Multilayer Perceptron (MLP), and Deep Neural Network (DNN).
  • Optimized model hyperparameters using the Dragonfly Algorithm (DA).

Main Results:

  • MLP model achieved R-squared scores of 0.99093 for solubility and 0.99911 for SC-CO2 density prediction.
  • CNN and DNN models also demonstrated high predictive accuracy for both solubility and density.
  • Models effectively captured the complex relationships between processing conditions and solubility.

Conclusions:

  • Data-driven machine learning models reliably predict drug solubility in SC-CO2.
  • These models provide a practical tool for optimizing supercritical processes in pharmaceutical formulation.
  • Computational prediction accelerates the design and efficiency of solubility enhancement techniques.