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.
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Abstract
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.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Electronics and Computer Engineering > Department of Computer Engineering |
| Depositing User: | Ms Chin Foon Khoo |
| Date Deposited: | 26 Feb 2013 01:40 |
| Last Modified: | 09 Feb 2022 14:03 |
| URI: | http://eprints.utem.edu.my/id/eprint/6879 |
| Statistic Details: | View Download Statistic |
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