Using theory of approximation to mathematically model the estimation of aloin concentration in Aloe vera L. (Aloe barbadensis Mill.)

Aloin is one of the secondary metabolites that gives Aloe spp. plants their healing properties. The concentration of aloin is related to the fresh mass, and its industrial purification requires laboratory processes that add extra costs to the commercialization. The objective of this work is to mathematically model the estimation of the concentration of aloin in A. vera L., from the fresh mass. The theory of discrete perfect least squares approximations was used, considering the linear and exponential approximation function. For the tabulation of the data, the class mark options, and the average of the values were used. The analysis of the approximations indicates that exponential curves best approximate the data. The use of these approximations is recommended for the estimation of aloin concentration in A. vera based on its fresh mass, facilitating the measurement of this secondary metabolite and minimizing costs in the industrialization process.