A mathematical model was developed based on the Amon and Denson model for supercritical foaming (SCF) with a two-step depressurization rate. The model was provided according to the law of conservation of momentum, the law of conservation of mass, and a reformulation of the shell size for the second step of depressurization in comparison with the shell size for the first step of depressurization. The model was validated using the experimental data of SCF from polycaprolactone plus CO₂ at 300 bar, 50 °C, a solubilization time of 2 h, a first depressurization rate of 28.6 bar min⁻¹, and a second depressurization rate of 200 bar min⁻¹. The comparison showed a significant improvement of the model accuracy for predicting the average pore radius of the scaffold compared to the original Amon and Denson model.

中文翻译：

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两步超临界二氧化碳发泡制备聚（ε-己内酯）支架的建模

数学模型是基于 Amon 和 Denson 模型开发的，用于具有两步降压速率的超临界发泡 (SCF)。该模型是根据动量守恒定律、质量守恒定律以及减压第二步壳尺寸与减压第一步壳尺寸的重新表述提供的。使用来自聚己内酯加 CO ₂的 SCF在 300 bar、50 °C、2 小时的溶解时间、28.6 bar min ^-1的第一次减压速率和 200 bar min 的第二次减压速率的实验数据验证模型⁻¹. 比较表明，与原始的 Amon 和 Denson 模型相比，预测支架平均孔半径的模型精度有了显着提高。