Generalized Logistic Equation Modeling of Mammalian Cell Batch Cultures

Abstract

We present a method for analyzing experimental data from mammalian cell batch bioreactors through functional approximation. Specifically, a 4-parameter generalized logistic equation (GLE) described time profiles of viable cell density while two reduced forms of the GLE with 3 parameters described nutrient uptake and metabolite/product formation. Experimental data were accurately described by the GLE and its reduced forms, suggesting the validity of this approach. These equations were analytically differentiable thereby allowing rapid estimation of specific rates, often variables of interest in a batch culture. From a computational standpoint, the approach presented in this study is significantly simpler in comparison to classical kinetic formulations involving Monod type kinetics. Overall, the simplicity of the approach presented coupled with its ability to accurately describe batch experimental data should make it an attractive option for modeling mammalian cells in batch culture.