Mathematical model of enzymatic reactions of coconut coir substrate treated by alkaline and ionic liquid into the reducing sugars using power series

Abstract

The research purposed at formulating the kinetics model of reducing sugars liberated from coconut coir dust treated with alkaline, ionic liquid, alkaline followed by ionic liquid employing a power series. The method was successful to predict the sugar concentration released from the substrate in a biocatalytic reaction employing cellulose, and a mixture of cellulase+xylanase at any time. The yield of sugar released enzymatically was modeled as an equation in power series in which the results were comparable to those of the experimental data. The biggest constant rate obtained was of 0.0200000 h-1 for an application of a mixture of enzymes on the conversion of NaOH-treated substrate into the reducing sugars. Generally, the trend of the modelled graph was close to the experiment but the error was quietly wide in the initial times since the conversion rate was very high. The lines were an agreement when the time was above 8h for all pre-treatments (native-, 1%NaOH-, IL-, and 1%NaOH+IL substrates). It was indicative the power series can be used to solve a differential equation generated from a rate equation.