Abstract Supercritical carbon dioxide (SC-CO2) extraction of lycopene from tomato processing byproducts, namely, tomato peel and seed, was mathematically modeled. Mathematical modeling of the SC-CO2 extraction data was implemented using the mass conservation law that resulted in two partial differential equations for solvent and solid phases. The model was then employed to investigate the effects of temperature (40–80 °C), pressure (30–50 MPa), and peel to seeds ratio (30/70 to 70/30) on the lycopene yield. The maximum lycopene yield of 1.32 mg/kg of raw material was obtained at 80 °C, 50 MPa, and peel/seeds ratio of 70/30. The lycopene yield had a direct relationship with external mass transfer coefficient, but inverse relationship with the partition coefficient of the solute between the solid and the fluid phase and particle diameter; however, the amount of oleoresin was only a function of the initial mass fraction of extractable solute in the solid phase and mass of feed.

中文翻译：

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从番茄加工副产品中超临界二氧化碳提取番茄红素：数学建模和优化

摘要 对从番茄加工副产品（即番茄皮和种子）中提取番茄红素的超临界二氧化碳 (SC-CO2) 进行了数学建模。SC-CO2 提取数据的数学建模是使用质​​量守恒定律实现的，该定律导致溶剂相和固相的两个偏微分方程。然后使用该模型研究温度 (40–80 °C)、压力 (30–50 MPa) 和果皮种子比 (30/70 到 70/30) 对番茄红素产量的影响。在 80 °C、50 MPa 和 70/30 的果皮/种子比下，获得的番茄红素最大产量为 1.32 mg/kg 原料。番茄红素收率与外传质系数成正比，与固液相间溶质分配系数和粒径成反比；然而，