Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel
Chemical kinetics is a branch of chemistry that is founded on understanding chemical reaction rates. Chemical kinetics relates many aspects of cosmology, geology, and even in some cases of, psychology. There is a need for mathematical modelling of these chemical reactions. Therefore, the present res...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2023-01-01
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| Series: | PLoS ONE |
| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10035869/?tool=EBI |
| _version_ | 1797860174362312704 |
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| author | Maryam Khan Zubair Ahmad Farhad Ali Naveed Khan Ilyas Khan Kottakkaran Sooppy Nisar |
| author_facet | Maryam Khan Zubair Ahmad Farhad Ali Naveed Khan Ilyas Khan Kottakkaran Sooppy Nisar |
| author_sort | Maryam Khan |
| collection | DOAJ |
| description | Chemical kinetics is a branch of chemistry that is founded on understanding chemical reaction rates. Chemical kinetics relates many aspects of cosmology, geology, and even in some cases of, psychology. There is a need for mathematical modelling of these chemical reactions. Therefore, the present research is based on chemical kinetics-based modelling and dynamics of enzyme processes. This research looks at the two-step substrate-enzyme reversible response. In the two step-reversible reactions, substrate combines with enzymes which is further converted into products with two steps. The model is displayed through the flow chart, which is then transformed into ODEs. The Atangana-Baleanu time-fractional operator and the Mittag-Leffler kernel are used to convert the original set of highly nonlinear coupled integer order ordinary differential equations into a fractional-order model. Additionally, it is shown that the solution to the investigated fractional model is unique, limited, and may be represented by its response velocity. A numerical scheme, also known as the Atangana-Toufik method, based on Newton polynomial interpolation technique via MATLAB software, is adopted to find the graphical results. The dynamics of reaction against different reaction rates are presented through various figures. It is observed that the forward reaction rates increase the reaction speed while backward reaction rates reduce it. |
| first_indexed | 2024-04-09T21:41:31Z |
| format | Article |
| id | doaj.art-ac0d5f392db24bc7a31bdcd7a5f683e7 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-09T21:41:31Z |
| publishDate | 2023-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-ac0d5f392db24bc7a31bdcd7a5f683e72023-03-26T05:32:02ZengPublic Library of Science (PLoS)PLoS ONE1932-62032023-01-01183Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler KernelMaryam KhanZubair AhmadFarhad AliNaveed KhanIlyas KhanKottakkaran Sooppy NisarChemical kinetics is a branch of chemistry that is founded on understanding chemical reaction rates. Chemical kinetics relates many aspects of cosmology, geology, and even in some cases of, psychology. There is a need for mathematical modelling of these chemical reactions. Therefore, the present research is based on chemical kinetics-based modelling and dynamics of enzyme processes. This research looks at the two-step substrate-enzyme reversible response. In the two step-reversible reactions, substrate combines with enzymes which is further converted into products with two steps. The model is displayed through the flow chart, which is then transformed into ODEs. The Atangana-Baleanu time-fractional operator and the Mittag-Leffler kernel are used to convert the original set of highly nonlinear coupled integer order ordinary differential equations into a fractional-order model. Additionally, it is shown that the solution to the investigated fractional model is unique, limited, and may be represented by its response velocity. A numerical scheme, also known as the Atangana-Toufik method, based on Newton polynomial interpolation technique via MATLAB software, is adopted to find the graphical results. The dynamics of reaction against different reaction rates are presented through various figures. It is observed that the forward reaction rates increase the reaction speed while backward reaction rates reduce it.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10035869/?tool=EBI |
| spellingShingle | Maryam Khan Zubair Ahmad Farhad Ali Naveed Khan Ilyas Khan Kottakkaran Sooppy Nisar Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel PLoS ONE |
| title | Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel |
| title_full | Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel |
| title_fullStr | Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel |
| title_full_unstemmed | Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel |
| title_short | Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel |
| title_sort | dynamics of two step reversible enzymatic reaction under fractional derivative with mittag leffler kernel |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10035869/?tool=EBI |
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