Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product
Enzymatic inhibition is one of the key regulatory mechanisms in cellular metabolism, especially the enzymatic competitive inhibition by product. This inhibition process helps the cell regulate enzymatic activities. In this paper, we derive a mathematical model describing the enzymatic competitive in...
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| Format: | Article |
| Language: | English |
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ATNAA
2021-01-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1378246 |
| _version_ | 1797916796063318016 |
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| author | Vinh Quang Mai Thái Anh Nhan |
| author_facet | Vinh Quang Mai Thái Anh Nhan |
| author_sort | Vinh Quang Mai |
| collection | DOAJ |
| description | Enzymatic inhibition is one of the key regulatory mechanisms in cellular metabolism, especially the enzymatic competitive inhibition by product. This inhibition process helps the cell regulate enzymatic activities. In this paper, we derive a mathematical model describing the enzymatic competitive inhibition by product. The model consists of a coupled system of nonlinear ordinary differential equations for the species of interest. Using nondimensionalization analysis, a formula for product formation rate for this mechanism is obtained in a transparent manner. Further analysis for this formula yields qualitative insights into the
maximal reaction velocity and apparent Michaelis-Menten constant. Integrating the model numerically, the effects of the model parameters on the model output are also investigated. Finally, a potential application of the model to realistic enzymes is briefly discussed. |
| first_indexed | 2024-04-10T13:03:02Z |
| format | Article |
| id | doaj.art-ba96e22039db4447a7ca08780553acf6 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T13:03:02Z |
| publishDate | 2021-01-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-ba96e22039db4447a7ca08780553acf62023-02-15T16:13:05ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482021-01-01515871https://doi.org/10.31197/atnaa.820590Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by productVinh Quang MaiThái Anh NhanEnzymatic inhibition is one of the key regulatory mechanisms in cellular metabolism, especially the enzymatic competitive inhibition by product. This inhibition process helps the cell regulate enzymatic activities. In this paper, we derive a mathematical model describing the enzymatic competitive inhibition by product. The model consists of a coupled system of nonlinear ordinary differential equations for the species of interest. Using nondimensionalization analysis, a formula for product formation rate for this mechanism is obtained in a transparent manner. Further analysis for this formula yields qualitative insights into the maximal reaction velocity and apparent Michaelis-Menten constant. Integrating the model numerically, the effects of the model parameters on the model output are also investigated. Finally, a potential application of the model to realistic enzymes is briefly discussed.https://dergipark.org.tr/tr/download/article-file/1378246numerical analysismathematical modelproduct inhibitionhexokinase |
| spellingShingle | Vinh Quang Mai Thái Anh Nhan Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product Advances in the Theory of Nonlinear Analysis and its Applications numerical analysis mathematical model product inhibition hexokinase |
| title | Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product |
| title_full | Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product |
| title_fullStr | Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product |
| title_full_unstemmed | Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product |
| title_short | Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product |
| title_sort | numerical analysis of coupled systems of odes and applications to enzymatic competitive inhibition by product |
| topic | numerical analysis mathematical model product inhibition hexokinase |
| url | https://dergipark.org.tr/tr/download/article-file/1378246 |
| work_keys_str_mv | AT vinhquangmai numericalanalysisofcoupledsystemsofodesandapplicationstoenzymaticcompetitiveinhibitionbyproduct AT thaianhnhan numericalanalysisofcoupledsystemsofodesandapplicationstoenzymaticcompetitiveinhibitionbyproduct |