Fractional-Order Models for Biochemical Processes
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 manni...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/4/2/12 |
| _version_ | 1797570948029743104 |
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| author | Eva-H. Dulf Dan C. Vodnar Alex Danku Cristina-I. Muresan Ovidiu Crisan |
| author_facet | Eva-H. Dulf Dan C. Vodnar Alex Danku Cristina-I. Muresan Ovidiu Crisan |
| author_sort | Eva-H. Dulf |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T20:32:39Z |
| format | Article |
| id | doaj.art-198326c8dee449bd94815e1fb42fb809 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T20:32:39Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-198326c8dee449bd94815e1fb42fb8092023-11-19T21:14:28ZengMDPI AGFractal and Fractional2504-31102020-04-01421210.3390/fractalfract4020012Fractional-Order Models for Biochemical ProcessesEva-H. Dulf0Dan C. Vodnar1Alex Danku2Cristina-I. Muresan3Ovidiu Crisan4Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, 400144 Cluj-Napoca, RomaniaFood Science and Technology Department, University of Agricultural Sciences and Veterinary Medicine Cluj-Napoca, 400372 Cluj-Napoca, RomaniaFaculty of Automation and Computer Science, Technical University of Cluj-Napoca, 400144 Cluj-Napoca, RomaniaFaculty of Automation and Computer Science, Technical University of Cluj-Napoca, 400144 Cluj-Napoca, RomaniaDepartment of Organic Chemistry, Iuliu Hațieganu University of Medicine and Pharmacy, 400012 Cluj-Napoca, RomaniaBiochemical 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.https://www.mdpi.com/2504-3110/4/2/12biochemical processfractional order modeloptimization |
| spellingShingle | Eva-H. Dulf Dan C. Vodnar Alex Danku Cristina-I. Muresan Ovidiu Crisan Fractional-Order Models for Biochemical Processes Fractal and Fractional biochemical process fractional order model optimization |
| title | Fractional-Order Models for Biochemical Processes |
| title_full | Fractional-Order Models for Biochemical Processes |
| title_fullStr | Fractional-Order Models for Biochemical Processes |
| title_full_unstemmed | Fractional-Order Models for Biochemical Processes |
| title_short | Fractional-Order Models for Biochemical Processes |
| title_sort | fractional order models for biochemical processes |
| topic | biochemical process fractional order model optimization |
| url | https://www.mdpi.com/2504-3110/4/2/12 |
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