Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model Dynamics
The Quasi-Steady-State Approximation (QSSA) theorem is considered as a basic approach for reduction of dimensionality of a dynamical model of microRNA target regulation. On the basis of previously determined parameters, seven ordinary differential equations of the model are written in a form appropr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academic Publishing House
2009-12-01
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| Series: | Bioautomation |
| Subjects: | |
| Online Access: | http://www.clbme.bas.bg/bioautomation/2009/vol_13.4/files/13.4_3.01.pdf |
| _version_ | 1818532775158874112 |
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| author | Nikolova E. Herwig R. Petrov V. |
| author_facet | Nikolova E. Herwig R. Petrov V. |
| author_sort | Nikolova E. |
| collection | DOAJ |
| description | The Quasi-Steady-State Approximation (QSSA) theorem is considered as a basic approach for reduction of dimensionality of a dynamical model of microRNA target regulation. On the basis of previously determined parameters, seven ordinary differential equations of the model are written in a form appropriate to evaluate their terms for further reduction. In accordance with the terminology of the QSSA theorem, it is established that five of the system components are fast varying such that the corresponding kinetic equations form an attached system. The other two variables are slow varying and their kinetic equations form a degenerate system. |
| first_indexed | 2024-12-11T17:49:55Z |
| format | Article |
| id | doaj.art-33ffa07b70734f76a30070a9a419d822 |
| institution | Directory Open Access Journal |
| issn | 1313-261X 1312-451X |
| language | English |
| last_indexed | 2024-12-11T17:49:55Z |
| publishDate | 2009-12-01 |
| publisher | Academic Publishing House |
| record_format | Article |
| series | Bioautomation |
| spelling | doaj.art-33ffa07b70734f76a30070a9a419d8222022-12-22T00:56:14ZengAcademic Publishing HouseBioautomation1313-261X1312-451X2009-12-01134127134Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model DynamicsNikolova E.Herwig R.Petrov V.The Quasi-Steady-State Approximation (QSSA) theorem is considered as a basic approach for reduction of dimensionality of a dynamical model of microRNA target regulation. On the basis of previously determined parameters, seven ordinary differential equations of the model are written in a form appropriate to evaluate their terms for further reduction. In accordance with the terminology of the QSSA theorem, it is established that five of the system components are fast varying such that the corresponding kinetic equations form an attached system. The other two variables are slow varying and their kinetic equations form a degenerate system.http://www.clbme.bas.bg/bioautomation/2009/vol_13.4/files/13.4_3.01.pdfOrdinary differential equationsQSSA theoremReduction of dimensionalityMicroRNA target regulation |
| spellingShingle | Nikolova E. Herwig R. Petrov V. Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model Dynamics Bioautomation Ordinary differential equations QSSA theorem Reduction of dimensionality MicroRNA target regulation |
| title | Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model Dynamics |
| title_full | Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model Dynamics |
| title_fullStr | Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model Dynamics |
| title_full_unstemmed | Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model Dynamics |
| title_short | Quasi-Stationary Approximation of a Dynamical Model of microRNA Target Regulation. Part I. Establishment of Time Hierarchy in the Model Dynamics |
| title_sort | quasi stationary approximation of a dynamical model of microrna target regulation part i establishment of time hierarchy in the model dynamics |
| topic | Ordinary differential equations QSSA theorem Reduction of dimensionality MicroRNA target regulation |
| url | http://www.clbme.bas.bg/bioautomation/2009/vol_13.4/files/13.4_3.01.pdf |
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