Mathematical Modeling and Simulation Techniques for Biomanufacturing

This book chapter presents an in-depth examination of the key role of mathematical modeling and simulation in the design and optimization of contemporary biomanufacturing systems. The focus is placed on the integration of mechanistic models, kinetic equations, thermodynamic balances, stoichiometric approaches, and transport phenomena to explain and predict biological behavior across a variety of scales. Sophisticated simulation techniques such as computational fluid dynamics (CFD), finite element modeling (FEM), and multiscale modeling are described to analyze complicated interactions such as nutrient transport, fluid flow, and scaffold mechanics. The application of dynamic simulation methodology using ordinary differential equations and digital twins and machine learning-based predictive analytics for real-time monitoring of processes is also discussed in the chapter. Mathematical science complemented with engineering significance positions modeling and simulation as the foundation for scalable, robust, and smart biomanufacturing. This chapter identifies spaces of considerable potential in the future through cyber-physical integration, biologically realistic virtual models, and simulation together with high-throughput experimental data.