Large deviations for two scale chemical kinetic processes
Probability
2016-04-05 v2 Biological Physics
Abstract
We formulate the large deviations for a class of two scale chemical kinetic processes motivated from biological applications. The result is successfully applied to treat a genetic switching model with positive feedbacks. The corresponding Hamiltonian is convex with respect to the momentum variable as a by-product of the large deviation theory. This property ensures its superiority in the rare event simulations compared with the result obtained by formal WKB asymptotics. The result is of general interest to understand the large deviations for multiscale problems.
Cite
@article{arxiv.1504.03781,
title = {Large deviations for two scale chemical kinetic processes},
author = {Tiejun Li and Feng Lin},
journal= {arXiv preprint arXiv:1504.03781},
year = {2016}
}