The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation
Deterministic models of enzymatic reactions based on the quasi-steady state assumption (QSSA) and total quasi-steady state assumption (tQSSA) have been used successfully in the past. This is surprising as the QSSA and tQSSA can neither be verified mathematically nor by experiment for most cases of i...
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| Language: | en |
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2008
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| Online Access: | http://eprints.utem.edu.my/id/eprint/6879/1/ctac.pdf http://eprints.utem.edu.my/id/eprint/6879/ |
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| author | Khoo, Chin Foon |
| author_facet | Khoo, Chin Foon |
| author_sort | Khoo, Chin Foon |
| building | UTEM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknikal Malaysia Melaka |
| content_source | UTEM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Deterministic models of enzymatic reactions based on the quasi-steady state assumption (QSSA) and total quasi-steady state assumption (tQSSA) have been used successfully in the past. This is surprising as the QSSA and tQSSA can neither be verified mathematically nor by experiment for most cases of interest. Here, we discuss an approach using singular perturbation theory to justify the approximation obtained by tQSSA. In addition, we extend the application of tQSSA to the stochastic model to deal with stiff differential equations originating from the chemical master equation. |
| format | Article |
| id | my.utem.eprints-6879 |
| institution | Universiti Teknikal Malaysia Melaka |
| language | en |
| publishDate | 2008 |
| record_format | eprints |
| spelling | my.utem.eprints-68792022-02-09T14:03:55Z http://eprints.utem.edu.my/id/eprint/6879/ The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation Khoo, Chin Foon QA Mathematics Deterministic models of enzymatic reactions based on the quasi-steady state assumption (QSSA) and total quasi-steady state assumption (tQSSA) have been used successfully in the past. This is surprising as the QSSA and tQSSA can neither be verified mathematically nor by experiment for most cases of interest. Here, we discuss an approach using singular perturbation theory to justify the approximation obtained by tQSSA. In addition, we extend the application of tQSSA to the stochastic model to deal with stiff differential equations originating from the chemical master equation. 2008-11 Article PeerReviewed text en http://eprints.utem.edu.my/id/eprint/6879/1/ctac.pdf Khoo, Chin Foon (2008) The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation. ANZIAM Journal, 50. c429-c443. |
| spellingShingle | QA Mathematics Khoo, Chin Foon The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation |
| title | The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation |
| title_full | The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation |
| title_fullStr | The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation |
| title_full_unstemmed | The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation |
| title_short | The total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation |
| title_sort | total quasi-steady state assumption: its justification by singular perturbation and its application to the chemical master equation |
| topic | QA Mathematics |
| url | http://eprints.utem.edu.my/id/eprint/6879/1/ctac.pdf http://eprints.utem.edu.my/id/eprint/6879/ |
| url_provider | http://eprints.utem.edu.my/ |