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Published on: June 20, 2019
A Reaction-Diffusion Model for Capturing Mass Loss and Microstructure Evolution in Enzymatic Degradation of
Nanshin Nansak1, Leo Creedon1, Denis O'Mahoney1,2
1Centre for Mathematical Modelling and Intelligent Systems for Health and Environment, Atlantic Technological University, F91 YW50 Sligo, Ireland.
Polymers
|May 27, 2026
Summary
A new model simulates the enzymatic degradation of semicrystalline bioresorbable polymers, like poly(ε-caprolactone) (PCL). It accurately predicts mass loss and crystallinity changes, revealing amorphous regions drive degradation.
Area of Science:
- Biomaterials Science
- Polymer Chemistry
- Computational Modeling
Background:
- Semicrystalline bioresorbable polymers' microstructure dictates biomedical performance.
- Crystalline content impacts mechanical stability and degradation.
- Existing models lack microstructural evolution and state-selective degradation insights.
Purpose of the Study:
- To develop a model capturing microstructural evolution during enzymatic degradation.
- To investigate state-selective degradation mechanisms in bioresorbable polymers.
- To explore the impact of film thickness on degradation dynamics.
Main Methods:
- Developed a 1D partial differential equation model treating crystalline and amorphous states distinctly.
- Calibrated the model using poly(ε-caprolactone) (PCL) degraded by *Candida antarctica* lipase in vitro.
- Performed parameter uncertainty and sensitivity analyses.
Main Results:
- The model accurately reproduced experimental weight-loss and crystallinity decline.
- Amorphous catalytic rate was identified as the dominant degradation driver.
- Thin films showed reaction-limited degradation, while thicker films were transport-influenced.
Conclusions:
- The model effectively simulates enzymatic degradation of PCL, considering microstructural changes.
- Film thickness significantly influences degradation rates and structural evolution.
- This model aids in predicting degradation behavior and optimizing material design without extensive experiments.
Keywords:
Bayesian inferenceSobol sensitivity analysiscrystallinityenzymatic degradationlipasemicrostructurepoly(ε-caprolactone)reaction–diffusion modelsemicrystalline polymers
