Introduction:

Industrially, the use of enzymes has increased over time, as their production processes, stabilization and operating conditions have been optimized. Meanwhile associated with their use are minimized with environmental sustainability. The use of mathematical modeling has been a key factor in this advance, making it an ​​great scientific interest area.

Objective:

To know the state of the art in this area of knowledge, highlighting the most successful and promising findings at present.

Materials and Methods:

A systematic search of recent high-impact publications between 2015 and 2021 was carried out in internationally recognized databases. A qualitative/comparative analysis of the approaches and contributions of the selected literature was carried out.

Results and Discussion:

It was evidenced that most of the mathematical models was developed from the Michaelis-Menten kinetic equation, but the simplifications assumed, the operating conditions and the mathematical methods used to solve these systems define the singularity and complexity of each investigation, which makes complex their comparison or implementation in a standardized way.

Conclusions:

In all cases, the proposed models were adjusted to experimental results or they agreed when different mathematical resolution methods were used. These results can provide valuable information for processes improvement and for equipment design, minimizing costs and time of experimentation and being more friendly to the environment.

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