Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate
The purpose of this work is to reduce the singularly perturbed system of kinetics of a suicidal substrate. Methods of decomposition and integral manifolds are used. The dimension of the original problem is reduced. The obtained equations on the integral manifold are analyzed for stability. An exampl...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2023-10-01
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| Series: | Вестник Самарского университета: Естественнонаучная серия |
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| Online Access: | https://journals.ssau.ru/est/article/viewFile/27062/10239 |
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| _version_ | 1849309499740913664 |
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| author | Mikhail A. Smetannikov |
| author_facet | Mikhail A. Smetannikov |
| author_sort | Mikhail A. Smetannikov |
| collection | DOAJ |
| description | The purpose of this work is to reduce the singularly perturbed system of kinetics of a suicidal substrate. Methods of decomposition and integral manifolds are used. The dimension of the original problem is reduced. The obtained equations on the integral manifold are analyzed for stability. An example is given of comparing the numerical solutions of the original system and those obtained after reducing the dimensionality using the above methods. |
| format | Article |
| id | doaj-art-528d1f4d96b54004968a47a759208b8a |
| institution | Kabale University |
| issn | 2541-7525 2712-8954 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Вестник Самарского университета: Естественнонаучная серия |
| spelling | doaj-art-528d1f4d96b54004968a47a759208b8a2025-08-20T03:54:07ZengSamara National Research UniversityВестник Самарского университета: Естественнонаучная серия2541-75252712-89542023-10-01293576310.18287/2541-7525-2023-29-3-57-638783Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrateMikhail A. Smetannikov0Samara National Research UniversityThe purpose of this work is to reduce the singularly perturbed system of kinetics of a suicidal substrate. Methods of decomposition and integral manifolds are used. The dimension of the original problem is reduced. The obtained equations on the integral manifold are analyzed for stability. An example is given of comparing the numerical solutions of the original system and those obtained after reducing the dimensionality using the above methods.https://journals.ssau.ru/est/article/viewFile/27062/10239differential equationsdecomposition methodintegral manifoldscooperative phenomenonenzyme kineticssuicide substrate |
| spellingShingle | Mikhail A. Smetannikov Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate Вестник Самарского университета: Естественнонаучная серия differential equations decomposition method integral manifolds cooperative phenomenon enzyme kinetics suicide substrate |
| title | Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate |
| title_full | Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate |
| title_fullStr | Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate |
| title_full_unstemmed | Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate |
| title_short | Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate |
| title_sort | application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate |
| topic | differential equations decomposition method integral manifolds cooperative phenomenon enzyme kinetics suicide substrate |
| url | https://journals.ssau.ru/est/article/viewFile/27062/10239 |
| work_keys_str_mv | AT mikhailasmetannikov applicationofdecompositionandintegralmanifoldstothesingularlyperturbedproblemofkineticsofsuicidesubstrate |