CLASSICAL MATHEMATICAL MODELS OF POPULATION GROWTH FOR PREDICTING CELL CULTURE IN BIOREACTORS

Abstract

Mathematical modeling is an essential tool for predicting results in bioprocesses, especially in cell culture in bioreactors, where there is a high complexity of variables. However, accurately predicting cell behavior at different growth stages remains a challenge. This chapter analyzes four classic deterministic population growth models: Malthus, Verhulst, Montroll, and Gompertz, which can be used to simulate cell growth in bioreactors. The development demonstrates how to solve the ordinary differential equations for each model and adjust the main parameters involved in cell culture. This chapter contributes to a better understanding of classic mathematical models of population growth and also indicates appropriate procedures for modeling in bioprocesses, providing a tool for predicting cell cultures in bioreactors. The study presented paves the way for the development of more comprehensive models to represent different types of cell growth.

DOI: 10.56238/edimpacto2025.041-005