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Model order reduction for the TASEP Master equation

Title data

Pioch, Kilian ; Kriecherbauer, Thomas ; Margaliot, Michael ; Grüne, Lars:
Model order reduction for the TASEP Master equation.
Bayreuth ; Tel Aviv , 2024 . - 7 p.
DOI: https://doi.org/10.48550/arXiv.2402.10234

Project information

Project title:
Project's official title
Project's id
Analysis of Random Transport in Chains using Modern Tools from Systems and Control Theory
GR 1569/24-1, KR 1673/7-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Preprint, postprint
Refereed: Yes
Keywords: Stochastic systems; systems biology; model reduction; Markov process; interacting particle systems; moment closure; pair-approximation
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics VI (Nonlinear Analysis and Mathematical Physics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics VI (Nonlinear Analysis and Mathematical Physics) > Chair Mathematics VI (Nonlinear Analysis and Mathematical Physics) - Univ.-Prof. Dr. Thomas Kriecherbauer
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions
Research Institutions > Central research institutes
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 20 Feb 2024 07:23
Last Modified: 20 Feb 2024 07:23
URI: https://eref.uni-bayreuth.de/id/eprint/88652