Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520429 | Journal of Computational Physics | 2008 | 13 Pages |
Abstract
We present a new framework for finding the optimal transition paths of metastable stochastic chemical kinetic systems with large system size. The optimal transition paths are identified to be the most probable paths according to the Large Deviation Theory of stochastic processes. Dynamical equations for the optimal transition paths are derived using the variational principle. A modified Minimum Action Method (MAM) is proposed as a numerical scheme to solve the optimal transition paths. Applications to Gene Regulatory Networks such as the toggle switch model and the Lactose Operon Model in Escherichia coli are presented as numerical examples.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Di Liu,