專題演講

2018/01/15(Mon)     16:00 -17:00    6th Floor(P6G)

Title

Accurate analytic solution of chemical master equations for gene regulation networks in a single cell

Speaker

Dr. Guan-Rong Huang

Physic Division, National Center for theoretical Sciences

Abstract

Studying gene regulation networks in a single cell is an important, interesting, and hot research
topic of molecular biology. Such process can be described by chemical master equations (CMEs).
We propose a Hamilton-Jacobi equation method with finite-size corrections to solve such CMEs
accurately at the intermediate region of switching, where switching rate is comparable to fast protein
production rate. We applied this approach to a model of self-regulating proteins [H. Ge, et al., PRL
114, 078101 (2015)] and found that as a parameter related to inducer concentration increases the
probability of protein production changes from unimodal to bimodal, then to unimodal, consistent
with phenotype switching observed in a single cell.