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. 2022 Aug 22;12:14293. doi: 10.1038/s41598-022-16773-4

Table 1.

Previous study on the mathematical models applied to SFE with a co-solvent for plants.

Plant Co-solvent Mathematical model Results References
Sumac seeds Ethanol Differential mass balances and shrinking core model (SC) Both mathematical models can well predict the behaviour of the process and fit the data 22
Leaves and stems of Synadenium grantii Ethanol First order empirical model The model fit with the experimental curve 11
Castanea sativa Ethanol Empirical model23, logistic model24, desoprtion model25, and broken and intact cell model (BIC)26 The BIC model was the most fitted with the extraction curve followed by the logistic and desoprtion model. The empirical model was the least fitted 27
Cannabis hybrid flower Ethanol Broken and intact cell model (BIC) model26 The model fit with the experimental curve 28
Eremanthus erythropappus Ethanol Broken and intact cell model (BIC) model26 The model fit with the experimental curve 29
Spirulina platensis

Ethanol

Water

Ethanol–water

Differential mass balance model The model fit with the experimental curve 30
Hypericum caprifoliatum

Ethanol

Water

Ethanol–water

Simplified broken and intact cell model (BIC) model31, differential mass balance model32 and desorption model25 The differential mass balance model was the most fitted with the extraction curve 33
Phyllanthus niruri Ethanol–water Modified Sovová model34 The model fit with the experimental curve 17