Fractional-Order Models for Biochemical Processes

• Main Authors: Eva-H. Dulf, Dan C. Vodnar, Alex Danku, Cristina-I. Muresan, Ovidiu Crisan
• Format: Article
• Language: English
• Published: MDPI AG 2020-04-01
• Series: Fractal and Fractional
• Subjects: biochemical process; fractional order model; optimization
• Online Access: https://www.mdpi.com/2504-3110/4/2/12

Biochemical processes present complex mechanisms and can be described by various computational models. Complex systems present a variety of problems, especially the loss of intuitive understanding. The present work uses fractional-order calculus to obtain mathematical models for erythritol and mannitol synthesis. The obtained models are useful for both prediction and process optimization. The models present the complex behavior of the process due to the fractional order, without losing the physical meaning of gain and time constants. To validate each obtained model, the simulation results were compared with experimental data. In order to highlight the advantages of fractional-order models, comparisons with the corresponding integer-order models are presented.