Mathematical Modeling as a Tool for Developing the Professional Competence of Biotechnology Master’s Students: A Case Study of a Batch Bioreactor

This project supports the implementation and research of a mathematical model for kinetic processes in a batch bioreactor. The model uses ordinary differential equations (ODEs) to describe how microbes grow, how they consume substrate, and how product forms over time. Key features of the model – It combines the classic Monod equation (for microbial growth) with the Michaelis–Menten equation (for enzymatic reactions). – The resulting set of non‑linear ODEs is solved with numerical tools such as the `odesolve` function or similar integration routines in MATLAB or Python. By running these simulations, the project gives a clear method for: – Evaluating bioprocess efficiency. – Optimizing variables like the initial substrate concentration

and the inoculum size. The model also allows sensitivity analysis of kinetic parameters, so you can see how robust the predictions are when environmental conditions change. Overall, this simulation tool helps bridge theory and practice. It lets you calculate yield coefficients and specific growth rates, providing a solid base for scaling up bioprocesses and designing advanced control strategies in biotechnology and biomedical engineering.

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