Analytic Form of the Phase Boundary for a Self-Regulatory Gene Circuit with Baseline Production

초록

The feedback loop forms an important basic module of a genetic regulatory network. The dynamics of a gene regulatory network is described by a deterministic rate equation in the parameter region where the stochastic fluctuation can be neglected. In this work, I consider the deterministic rate equation for the simplest positive feedback loop with cooperative binding and baseline production and obtain an analytic expression for the phase boundary between the monostable and the bistable regions. The result is consistent with those in previous literature and puts them on a solid theoretical ground. © 2019, The Korean Physical Society.

키워드