<p>Lipids are major macromolecules and macronutrients of importance, and their digestion has been extensively studied, more so, <i>in vitro</i> lipolysis, to better understand and predict lipid digestion in the gastrointestinal tract (<i>in vivo</i> lipolysis) that is critical in product developments. <i>In vitro</i> lipolysis, particularly time-course releases of free fatty acids, the lipid monomers, reveals lipid digestograms, digested lipid-time profiles. Lipid digestograms are consequently modelled to obtain digestion parameters that define lipid-based foods and their potential contributions to health and nutrition. As part of an extensive review series on 21 kinetic models or modelling approaches for lipolysis, the characteristics of five models (first-order, Peleg, Carciofi [modified Michaelis-Menten], Pauolucci-Jeanjean, and Deng) with one rate of digestion were examined for monophasic lipid digestograms. Linear and non-linear regressions were used, and the monophasic digestograms were objectively classified using the Sopade Objective Procedure. Non-linear regressions were generally more appropriate with necessary and practical constraints that universalise modelling <i>in vitro</i> lipolysis for mechanistic analyses. Sigmoid and non-sigmoid monophasic lipid digestograms were interpolated from published studies, and the five models displayed different predictability indices (coefficient of determination, r²; sum of square of residuals, SUMSQ; and mean relative deviation modulus, MRDM) with acceptable (non-patterned residuals) and unacceptable (patterned residuals) Quantile-Quantile (Q-Q) plots. The presented computational characteristics of these five models will guide lipid researchers to choose kinetic models that best describe sigmoid and non-sigmoid monophasic lipid digestograms. Follow-up studies will examine other models in use or that can be valuable for <i>in vitro</i> lipolysis.</p>