Application of first-order kinetics modeling to reveal the nature of starch digestive characteristics

Mathematical modeling of in vitro starch digestograms is essential to understand starch structure-digestibility relationships as it covers all detailed information of the starch digestograms with only a few kinetics-based parameters. However, many assumptions exist for these mathematical models, which are frequently overlooked by researchers and lead to inappropriate or even wrong interpretations of the fitted parameters. This review presents a critical evaluation of four mostly applied empirical first-order kinetics models including single first-order kinetics (SK), logarithm of slope (LOS) transformed kinetics, parallel first-order kinetics (PK) and the combination of parallel and sequential (CPS) kinetics models. For homogeneous food systems, the SK model is perfectly suitable, whereas the LOS, PK and CPS models were suitably developed for food systems containing multiple digestible fractions. For the digestion of starch containing multiple digestible fractions, the LOS model assumed a sequential digestion pattern, whereas the PK model assumed a parallel pattern. In the current review, there is also emphasis on the recently developed CPS model, which is able to differentiate the sequential and parallel digestion patterns for different starch digestible fractions existing in food systems. Understanding these assumptions enables a better selection of an appropriate mathematical model for improving the understanding of in vitro starch digestion characteristics. This review meets the growing interest of the food industry in terms of developing a new generation of foods with slower starch digestibility.