Abstract
The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional dynamics of interacting particles on a 1D-lattice that is much used in systems biology and statistical physics. Its master equation describes the evolution of the probability distribution on the state space. The size of the master equation grows exponentially with the length of the lattice. It is known that the complexity of the system may be reduced using mean field approximations. We provide a rigorous derivation and a stochastic interpretation of these approximations and present numerical results on their accuracy for a number of relevant cases.
| Original language | English |
|---|---|
| Pages (from-to) | 109-114 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 58 |
| Issue number | 17 |
| DOIs | |
| State | Published - 1 Aug 2024 |
| Event | 26th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2024 - Cambridge, United Kingdom Duration: 19 Aug 2024 → 23 Aug 2024 |
Funding
| Funders | Funder number |
|---|---|
| Deutsche Forschungsgemeinschaft | GR 1569/24-1, 470999742 |
Keywords
- interacting particle systems
- Markov process
- model reduction
- moment closure
- pair-approximation
- Stochastic systems
- systems biology