컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0059 |
|---|---|
| 분류(Section) | Focus Session |
| 분과(Session) | (FS-04) Applied Mathematics (FS-04) |
| 영문제목 (Title(Eng.)) |
The relationship between deterministic and stochastic quasi-steady-state approximations. |
| 저자(Author(s)) |
Jae Kyoung Kim1 Department of Mathematical Sciences, KAIST/IBS Biomedical Mathematics1 |
| 초록본문(Abstract) | The quasi steady-state approximation (QSSA) is frequently used to reduce deterministic models of biochemical networks. The resulting equations provide a simplified de- scription of the network in terms of non-elementary reaction functions (e.g. Hill functions). Such deterministic reductions are frequently a basis for heuristic stochastic models in which non-elementary reaction functions are used as propensities of Gillespie algorithm. Despite the popularity of this heuristic stochastic simulations, it remains unclear when such stochastic reductions are valid. In this talk, I will present conditions under which the stochastic models with the non-elementary propensity functions accurately approximate the full stochastic models. If the validity condition is satisfied, we can perform accurate and computationally inexpensive stochastic simulation without converting the non-elementary functions to the elementary functions (e.g. mass action kinetics). |
| 분류기호 (MSC number(s)) |
92-10 |
| 키워드(Keyword(s)) | QSSA, stochastic, Gillespie algorithm, non-elementary function |
| 강연 형태 (Language of Session (Talk)) |
English |