Algorithm for modelling pinto bean hydration kinetics

The modelling of the hydration kinetics of pinto beans (moisture and reflectance value) is carried out using the Peleg and Sigmoidal equatio

A model for the hydration kinetics of pinto beans was optimised using physical properties such as moisture (dry basis) and reflectance intensity value.

The algorithm comprises four stages, which are detailed below:

1. Data reading: The reflectance intensity mean values of the samples for each hydration time will be read from the excel file 'Data.xlxs', this matrix presents the dimensions of: reflectance intensity (X), humidity (Y), wavelength (Z) and time (x) values. The data will be modelled using the operating range of the hyperspectral imaging equipment (Pika XC; Resonon Inc. Montana, USA), with only the range from 400 to 800 nm being considered. It is important to note that this text already meets the desired characteristics and is free from errors.

2. 2D and 3D plots of the hydration kinetics of pinto beans: This algorithm presents 2D and 3D plots of the hydration kinetics of pinto beans. The plots show the hydration kinetics as a function of moisture and absorbance intensity values of the pinto bean samples during each hydration time.

3. Selection of the point frequency with the best correlation between the reflectance intensity value and the moisture of the bean samples: The section on selecting the point frequency seeks to relate the moisture and the absorbance intensity value of the pinto bean samples for each wavelength, from 400 to 800 nm. The relevant frequency is selected by maximising R2 and minimizing RSME.

4. Modelling the hydration kinetics of pinto beans using Peleg and Sigmoidal equations:

The hydration kinetics of pinto beans were modelled using the Peleg and Sigmoidal equations. The Levenberg-Marquardt algorithm was used for non-linear modelling of the experimental data through iterative computation. The modelling constants for the equations were determined, and statistical metrics such as R2 and RMSE were calculated for the mathematical models of hydration kinetics.