Solution of a Complex Nonlinear Fractional Biochemical Reaction Model
This paper discusses a complex nonlinear fractional model of enzyme inhibitor reaction where reaction memory is taken into account. Analytical expressions of the concentrations of enzyme, substrate, inhibitor, product, and other complex intermediate species are derived using Laplace decomposition an...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/27/3/45 |
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| author | Fatima Rabah Marwan Abukhaled Suheil A. Khuri |
| author_facet | Fatima Rabah Marwan Abukhaled Suheil A. Khuri |
| author_sort | Fatima Rabah |
| collection | DOAJ |
| description | This paper discusses a complex nonlinear fractional model of enzyme inhibitor reaction where reaction memory is taken into account. Analytical expressions of the concentrations of enzyme, substrate, inhibitor, product, and other complex intermediate species are derived using Laplace decomposition and differential transformation methods. Since different rate constants, large initial concentrations, and large time domains are unavoidable in biochemical reactions, different dynamics will result; hence, the convergence of the approximate concentrations may be lost. In this case, the proposed analytical methods will be coupled with Padé approximation. The validity and accuracy of the derived analytical solutions will be established by direct comparison with numerical simulations. |
| first_indexed | 2024-03-09T23:08:14Z |
| format | Article |
| id | doaj.art-c8292b6c81d54e20807c57debfd50fc9 |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-09T23:08:14Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-c8292b6c81d54e20807c57debfd50fc92023-11-23T17:50:44ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472022-05-012734510.3390/mca27030045Solution of a Complex Nonlinear Fractional Biochemical Reaction ModelFatima Rabah0Marwan Abukhaled1Suheil A. Khuri2Department of Mathematics and Statistics, American University of Sharjah, Sharjah P.O. Box 26666, United Arab EmiratesDepartment of Mathematics and Statistics, American University of Sharjah, Sharjah P.O. Box 26666, United Arab EmiratesDepartment of Mathematics and Statistics, American University of Sharjah, Sharjah P.O. Box 26666, United Arab EmiratesThis paper discusses a complex nonlinear fractional model of enzyme inhibitor reaction where reaction memory is taken into account. Analytical expressions of the concentrations of enzyme, substrate, inhibitor, product, and other complex intermediate species are derived using Laplace decomposition and differential transformation methods. Since different rate constants, large initial concentrations, and large time domains are unavoidable in biochemical reactions, different dynamics will result; hence, the convergence of the approximate concentrations may be lost. In this case, the proposed analytical methods will be coupled with Padé approximation. The validity and accuracy of the derived analytical solutions will be established by direct comparison with numerical simulations.https://www.mdpi.com/2297-8747/27/3/45enzyme inhibitorbiochemical reactionfractional differential systemLaplace transformationsemi-analytic |
| spellingShingle | Fatima Rabah Marwan Abukhaled Suheil A. Khuri Solution of a Complex Nonlinear Fractional Biochemical Reaction Model Mathematical and Computational Applications enzyme inhibitor biochemical reaction fractional differential system Laplace transformation semi-analytic |
| title | Solution of a Complex Nonlinear Fractional Biochemical Reaction Model |
| title_full | Solution of a Complex Nonlinear Fractional Biochemical Reaction Model |
| title_fullStr | Solution of a Complex Nonlinear Fractional Biochemical Reaction Model |
| title_full_unstemmed | Solution of a Complex Nonlinear Fractional Biochemical Reaction Model |
| title_short | Solution of a Complex Nonlinear Fractional Biochemical Reaction Model |
| title_sort | solution of a complex nonlinear fractional biochemical reaction model |
| topic | enzyme inhibitor biochemical reaction fractional differential system Laplace transformation semi-analytic |
| url | https://www.mdpi.com/2297-8747/27/3/45 |
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